Análisis_de_raquetas_de_tenis_de_mesa_.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "toc_visible": true,
      "authorship_tag": "ABX9TyPGpDXYC8tROe99NDi0ZBFl",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/dryanguasr/ColabProjects/blob/main/An%C3%A1lisis_de_raquetas_de_tenis_de_mesa_.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "NOi0JCfai91X"
      },
      "source": [
        "# Descripción del proyecto\n",
        "Se busca analizar una base de datos de reseñas sobre raquetas de tenis de mesa con el fin de cuantificar relaciones entre las características en pro de validar algunas creencias populares, crear visualizaciones que faciliten el proceso de elección de un madero según el interés de los usuarios o sus entrenadores e identificar cuáles son las mejores raquetas según la información de esta base de datos.\n",
        "\n",
        "<br>![alt text](https://www.experttabletennis.com/wp-content/uploads/2016/06/best-table-tennis-blades.jpg)\n",
        "\n",
        "## Situación actual\n",
        "### Base de datos con reseñas de raquetas\n",
        "Actualmente existen varias páginas con reseñas de elementos de tenis sin embargo hay una en particular que destaca claramente por encima de todas las demás debido a la cantidad de elementos y la cantidad de reseñas por elemento que es la página Revspin.net (anteriormente conocida como table tennis database).\n",
        "\n",
        "<img src=\"https://scontent.fbog3-1.fna.fbcdn.net/v/t1.0-9/119608985_10158895065688829_6793530829770388693_n.png?_nc_cat=111&_nc_sid=85a577&_nc_ohc=fZ1cVxgHT6sAX_tgi0P&_nc_ht=scontent.fbog3-1.fna&oh=6c1664fb5f2d4e8c3f6c6bc91e5c6364&oe=5F90B267\" alt=\"Drawing\" width = 300/>\n",
        "\n",
        "### Visualización de los datos\n",
        "La base de datos se encuentra publicada en internet y presenta los datos de manera [tabular](https://revspin.net/top-blade/overall-desc.html) con la posibilidad de filtrar por marcas u organizar por características lo cual permite una navegación sencilla pero dificulta la comparación de estas desde una perspectiva multivariada pues las herramientas de organización se limitan a una variable a la vez. El proceso de selección de raquetas equilibradas suele requerir un tiempo considerable.\n",
        "\n",
        "### Relaciones entre las variables\n",
        "Dentro de la comunidad deportiva existen varias creencias (algunas arraigadas, otras en debate) sobre la relación entre las distintas variables que caracterizan una raqueta. Por ejemplo:\n",
        "* Es tema de debate si las raquetas rígidas tienen o no menos control que las flexibles.\n",
        "* Es creencia popular que la variable que más influye en la calificación final de un madero es la velocidad.\n",
        "\n",
        "### Identificación de las mejores raquetas\n",
        "La página cuenta con una variable llamada \"Overall\" que pondera algunas de las variables de cada madera, aunque no considera el costo de la misma y reduce un problema multiobjetivo a un único criterio que es muy informativo pero en general no es suficiente para tomar una decisión.\n",
        "\n",
        "## Objetivos\n",
        "\n",
        "*   Crear visualizaciones de los datos que permitan a los jugadores y entrenadores explorar de manera más eficaz las características de los distintos maderos de su interés.\n",
        "*   Cuantificar las relaciones entre las variables Velocidad (Speed), Control, Precio (Price), Rigidez (Stiffness), Número de reseñas (Ratings) y Calificación general (Overall) que caracterizan a distintos maderos de tenis de mesa más conocidos encontrados en la base de datos.\n",
        "*   Identificar cuáles son las mejores maderas de acuerdo con las reseñas de la base de datos considerando las variables \"Velocidad\", \"Control\" y \"Precio\" desde una perspectiva de optimalidad de Pareto.\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xtYC2xHbF_5Y"
      },
      "source": [
        "## Importación de librerías"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "SMJ_HVyz5oTc",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 51
        },
        "outputId": "15363741-7db8-4ab8-f259-e59f3fb1cfb4"
      },
      "source": [
        "import seaborn as sns\n",
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import matplotlib as mpl\n",
        "import plotly\n",
        "import plotly.graph_objs as go \n",
        "import plotly.express as px\n",
        "from scipy import stats"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/statsmodels/tools/_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n",
            "  import pandas.util.testing as tm\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "A0XpYxe9HFLg"
      },
      "source": [
        "# Preparación de la base de datos\n",
        "Base de datos de raquetas (maderos) de tenis de mesa descargada de [Kaggle](http://www.kaggle.com/stefpy/table-tennis-blades) basada en las reseñas de los usuarios en la página [revspin.net](http://www.revspin.net/blade) anteriormente mencionada.\n",
        "## Limpieza de los datos\n",
        "En la página se encuentran tanto elementos reseñados como algunos que aún no tienen información suficiente para emitir una calificación. Debido a esto, se descartan los registros que no tengan calificaciones considerando que los maderos que carecen de información son o bien muy poco conocidos o versiones con pocas variaciones de maderos más conocidos que si se encuentran debidamente evaluados."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4iBITu9rHHRw",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 297
        },
        "outputId": "39ac9121-2f02-4023-89ec-3946136d6804"
      },
      "source": [
        "blades_df = pd.read_csv('Table Tennis Blades list.csv')\n",
        "blades_df = blades_df.dropna()\n",
        "blades_df.describe()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Speed</th>\n",
              "      <th>Control</th>\n",
              "      <th>Stiffness</th>\n",
              "      <th>Overall</th>\n",
              "      <th>Ratings</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>1641.000000</td>\n",
              "      <td>1641.000000</td>\n",
              "      <td>1641.000000</td>\n",
              "      <td>1641.000000</td>\n",
              "      <td>1641.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>8.400000</td>\n",
              "      <td>8.667764</td>\n",
              "      <td>5.586228</td>\n",
              "      <td>8.910908</td>\n",
              "      <td>7.330896</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>1.049832</td>\n",
              "      <td>0.837113</td>\n",
              "      <td>1.647442</td>\n",
              "      <td>0.745742</td>\n",
              "      <td>11.419584</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>2.900000</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.000000</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>7.900000</td>\n",
              "      <td>8.300000</td>\n",
              "      <td>5.000000</td>\n",
              "      <td>8.600000</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>8.600000</td>\n",
              "      <td>8.800000</td>\n",
              "      <td>5.400000</td>\n",
              "      <td>9.000000</td>\n",
              "      <td>3.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>9.100000</td>\n",
              "      <td>9.200000</td>\n",
              "      <td>6.900000</td>\n",
              "      <td>9.400000</td>\n",
              "      <td>8.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>10.000000</td>\n",
              "      <td>10.000000</td>\n",
              "      <td>10.000000</td>\n",
              "      <td>10.000000</td>\n",
              "      <td>132.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "             Speed      Control    Stiffness      Overall      Ratings\n",
              "count  1641.000000  1641.000000  1641.000000  1641.000000  1641.000000\n",
              "mean      8.400000     8.667764     5.586228     8.910908     7.330896\n",
              "std       1.049832     0.837113     1.647442     0.745742    11.419584\n",
              "min       2.900000     1.000000     0.000000     1.000000     1.000000\n",
              "25%       7.900000     8.300000     5.000000     8.600000     1.000000\n",
              "50%       8.600000     8.800000     5.400000     9.000000     3.000000\n",
              "75%       9.100000     9.200000     6.900000     9.400000     8.000000\n",
              "max      10.000000    10.000000    10.000000    10.000000   132.000000"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 2
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "D9pxVB8HMFcu"
      },
      "source": [
        "Dado que las puntuaciones de las características de los maderos están basados en reseñas, se considerarán únicamente aquellas que cuenten con 10 reseñas o más puesto que las maderas con pocas de estas, tienen a tener valores poco representativos. La página considera para sus tops internos solo maderos con 5 o más reseñas lo cual deja pasar algunas raquetas que prontamente cambian de posición. Considerando únicamente maderos con 10 reseñas o más, se espera que la estimación sea un poco más estable y robusta. Esta decisión en particular elimina una porción sensible de los datos, pero se considera que es más importante tener estimaciones un poco más robustas que analizar la información sobre maderos poco conocidos. Cabe resaltar que a la hora de determinar cuáles son los mejores maderos de la base de datos se considerarán los casos con 5, 10, 20 o 40 reseñas con el objetivo de que el usuario elija su propio umbral de relevancia para tomar su decisión final.\n",
        "\n",
        "Por otro lado, se agrupan los maderos de acuerdo a su marca con el fin de poder realizar análisis sobre estas y se cambia el formato de los precios que están registrados como strings en dólares a enteros en pesos colombianos tomando como tasa de conversión 1 USD = 3750 COP."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8RTlZgOaHBXz"
      },
      "source": [
        "def preprocess(df, Ratings_threshold):\n",
        "  interest_blades_df = df[df['Ratings']>=Ratings_threshold].copy()\n",
        "  interest_blades_df['Price'] = interest_blades_df['Price'].map(lambda x: x.replace('$','')).astype(int)*3750\n",
        "  interest_blades_df['Name'] = interest_blades_df['Name'].map(lambda x: x.replace('Dr. Neubauer','Dr._Neubauer'))\n",
        "  interest_blades_df['Name'] = interest_blades_df['Name'].map(lambda x: x.replace('Xi Up','Xi_Up'))\n",
        "  interest_blades_df['Name'] = interest_blades_df['Name'].map(lambda x: x.replace('Xi Enting','Xi_Enting'))\n",
        "  interest_blades_df['Name'] = interest_blades_df['Name'].map(lambda x: x.replace('Sauer & Troger','Sauer_&_Troger'))\n",
        "  interest_blades_df['Name'] = interest_blades_df['Name'].map(lambda x: x.replace('Double Happiness (DHS)','DHS'))\n",
        "  interest_blades_df['Name'] = interest_blades_df['Name'].map(lambda x: x.replace('Prasidha (Prashida)','Prasidha'))\n",
        "  interest_blades_df['Name'] = interest_blades_df['Name'].map(lambda x: x.replace('KTL (LKT - Li Kuang Tsu)','LKT'))\n",
        "  interest_blades_df['Name'] = interest_blades_df['Name'].map(lambda x: x.replace('KTL (LKT)','LKT'))\n",
        "  interest_blades_df['Name'] = interest_blades_df['Name'].map(lambda x: x.replace('Giant Dragon','Giant_Dragon'))\n",
        "  interest_blades_df['Name'] = interest_blades_df['Name'].map(lambda x: x.replace('Galaxy','Yinhe'))\n",
        "  interest_blades_df['Name'] = interest_blades_df['Name'].map(lambda x: x.replace('(No Brand))','-'))\n",
        "  interest_blades_df['Brand'] = interest_blades_df['Name'].map(lambda x: x.split(' ', 1)[0])\n",
        "  interest_blades_df['Name'] = interest_blades_df['Name'].map(lambda x: x.partition(\" \")[2])\n",
        "  return interest_blades_df"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qG--EhmQmB5d",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 297
        },
        "outputId": "39efd91b-24db-48df-ba80-f8cf7a862123"
      },
      "source": [
        "interest_blades_df = preprocess(blades_df, 10)\n",
        "interest_blades_df.describe()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Speed</th>\n",
              "      <th>Control</th>\n",
              "      <th>Stiffness</th>\n",
              "      <th>Overall</th>\n",
              "      <th>Price</th>\n",
              "      <th>Ratings</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>346.000000</td>\n",
              "      <td>346.000000</td>\n",
              "      <td>346.000000</td>\n",
              "      <td>346.000000</td>\n",
              "      <td>3.460000e+02</td>\n",
              "      <td>346.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>8.596532</td>\n",
              "      <td>8.800867</td>\n",
              "      <td>5.628035</td>\n",
              "      <td>9.107514</td>\n",
              "      <td>3.478179e+05</td>\n",
              "      <td>22.526012</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>0.935633</td>\n",
              "      <td>0.546318</td>\n",
              "      <td>1.420184</td>\n",
              "      <td>0.368862</td>\n",
              "      <td>2.523746e+05</td>\n",
              "      <td>17.457880</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>4.300000</td>\n",
              "      <td>6.500000</td>\n",
              "      <td>0.800000</td>\n",
              "      <td>7.700000</td>\n",
              "      <td>4.500000e+04</td>\n",
              "      <td>10.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>8.300000</td>\n",
              "      <td>8.500000</td>\n",
              "      <td>4.800000</td>\n",
              "      <td>8.900000</td>\n",
              "      <td>1.800000e+05</td>\n",
              "      <td>12.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>8.900000</td>\n",
              "      <td>8.900000</td>\n",
              "      <td>5.600000</td>\n",
              "      <td>9.200000</td>\n",
              "      <td>2.550000e+05</td>\n",
              "      <td>16.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>9.200000</td>\n",
              "      <td>9.200000</td>\n",
              "      <td>6.500000</td>\n",
              "      <td>9.400000</td>\n",
              "      <td>4.771875e+05</td>\n",
              "      <td>25.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>9.700000</td>\n",
              "      <td>9.700000</td>\n",
              "      <td>9.700000</td>\n",
              "      <td>9.600000</td>\n",
              "      <td>1.548750e+06</td>\n",
              "      <td>132.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "            Speed     Control   Stiffness     Overall         Price     Ratings\n",
              "count  346.000000  346.000000  346.000000  346.000000  3.460000e+02  346.000000\n",
              "mean     8.596532    8.800867    5.628035    9.107514  3.478179e+05   22.526012\n",
              "std      0.935633    0.546318    1.420184    0.368862  2.523746e+05   17.457880\n",
              "min      4.300000    6.500000    0.800000    7.700000  4.500000e+04   10.000000\n",
              "25%      8.300000    8.500000    4.800000    8.900000  1.800000e+05   12.000000\n",
              "50%      8.900000    8.900000    5.600000    9.200000  2.550000e+05   16.000000\n",
              "75%      9.200000    9.200000    6.500000    9.400000  4.771875e+05   25.000000\n",
              "max      9.700000    9.700000    9.700000    9.600000  1.548750e+06  132.000000"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 4
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "03F8DcsvGq4G"
      },
      "source": [
        "# Distribución de los datos\n",
        "Con el objetivo de obtener una mejor visualización de las relaciones entre las variables, se presentan los diagramas de dispersión que relacionan cada par de variables de interés. Adicionalmente se usa el canal del tamaño del marcador para indicar su relevancia basada en la cantidad de reseñas sobre la referencia específica."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "dE-6iEAFhTMY",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 817
        },
        "outputId": "1ba3f7b5-7baf-49bd-bac7-d2c505e6ae1d"
      },
      "source": [
        "px.scatter_matrix(interest_blades_df, dimensions=[\"Speed\", \"Control\", \"Price\", \"Stiffness\", 'Overall'], hover_data= ['Name', 'Brand'], size = \"Ratings\", size_max = 20, width=1000, height=800)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<html>\n",
              "<head><meta charset=\"utf-8\" /></head>\n",
              "<body>\n",
              "    <div>\n",
              "            <script src=\"https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-AMS-MML_SVG\"></script><script type=\"text/javascript\">if (window.MathJax) {MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}</script>\n",
              "                <script type=\"text/javascript\">window.PlotlyConfig = {MathJaxConfig: 'local'};</script>\n",
              "        <script src=\"https://cdn.plot.ly/plotly-latest.min.js\"></script>    \n",
              "            <div id=\"7df1562e-f64b-49a8-90a4-e84e5657f020\" class=\"plotly-graph-div\" style=\"height:800px; width:1000px;\"></div>\n",
              "            <script type=\"text/javascript\">\n",
              "                \n",
              "                    window.PLOTLYENV=window.PLOTLYENV || {};\n",
              "                    \n",
              "                if (document.getElementById(\"7df1562e-f64b-49a8-90a4-e84e5657f020\")) {\n",
              "                    Plotly.newPlot(\n",
              "                        '7df1562e-f64b-49a8-90a4-e84e5657f020',\n",
              "                        [{\"customdata\": [[\"C500 OFF+\", \"Adidas\"], [\"Challenge Speed\", \"Adidas\"], [\"CSV OFF+\", \"Andro\"], [\"Fibercomp DEF\", \"Andro\"], [\"Kinetic Supreme OFF-\", \"Andro\"], [\"Ligna OFF\", \"Andro\"], [\"Ligna OFF+\", \"Andro\"], [\"Super Core Cell OFF\", \"Andro\"], [\"Super Core Cell OFF+\", \"Andro\"], [\"Temper Tech ALL+\", \"Andro\"], [\"Temper Tech OFF\", \"Andro\"], [\"Temper Tech OFF+\", \"Andro\"], [\"Temper Tech OFF-\", \"Andro\"], [\"Treiber CO OFF\", \"Andro\"], [\"Treiber H\", \"Andro\"], [\"Treiber K\", \"Andro\"], [\"Treiber Q\", \"Andro\"], [\"Treiber Z\", \"Andro\"], [\"Wanokiwami AO OFF\", \"Andro\"], [\"Blue Thunder 550 (BT550)\", \"Avalox\"], [\"Blue Thunder 777 (BT777)\", \"Avalox\"], [\"J-Aramid\", \"Avalox\"], [\"J-Power\", \"Avalox\"], [\"Ma Wenge C555 Carbon\", \"Avalox\"], [\"P500\", \"Avalox\"], [\"P700\", \"Avalox\"], [\"Amultart ZL Carbon\", \"Butterfly\"], [\"Andrzej Grubba\", \"Butterfly\"], [\"Andrzej Grubba Carbon\", \"Butterfly\"], [\"Balsa Carbo X5\", \"Butterfly\"], [\"Boll TriCarbon\", \"Butterfly\"], [\"Defence 2 (II)\", \"Butterfly\"], [\"Defence Alpha\", \"Butterfly\"], [\"Firehand\", \"Butterfly\"], [\"FREITAS ALC\", \"Butterfly\"], [\"Fukuhara Ai Pro ZLF\", \"Butterfly\"], [\"Garaydia ALC\", \"Butterfly\"], [\"Garaydia ZLC\", \"Butterfly\"], [\"Gergely 21\", \"Butterfly\"], [\"Gergely Alpha\", \"Butterfly\"], [\"Gergely Carbon\", \"Butterfly\"], [\"Innerforce AL\", \"Butterfly\"], [\"Innerforce ALC\", \"Butterfly\"], [\"Innerforce Layer ALC\", \"Butterfly\"], [\"Innerforce Layer ALC.S\", \"Butterfly\"], [\"Innerforce Layer ZLC\", \"Butterfly\"], [\"Innerforce T5000\", \"Butterfly\"], [\"Innerforce ULC\", \"Butterfly\"], [\"Innerforce ZLC\", \"Butterfly\"], [\"Innerforce ZLF\", \"Butterfly\"], [\"Iolite Neo\", \"Butterfly\"], [\"Ishlion\", \"Butterfly\"], [\"Jonyer Hinoki\", \"Butterfly\"], [\"Joo Se Hyuk\", \"Butterfly\"], [\"Jun Mizutani\", \"Butterfly\"], [\"Jun Mizutani Super ZLC\", \"Butterfly\"], [\"Jun Mizutani ZLC\", \"Butterfly\"], [\"Keyshot Light\", \"Butterfly\"], [\"Kong Linghui Euro\", \"Butterfly\"], [\"Kong Linghui Special\", \"Butterfly\"], [\"Korbel SK7\", \"Butterfly\"], [\"Kreanga Carbon\", \"Butterfly\"], [\"Liu Shiwen\", \"Butterfly\"], [\"Marcos Freitas ALC\", \"Butterfly\"], [\"Matsushita Pro\", \"Butterfly\"], [\"Maze Passion\", \"Butterfly\"], [\"Maze Performance\", \"Butterfly\"], [\"Mazunov\", \"Butterfly\"], [\"Michael Maze\", \"Butterfly\"], [\"Moonbeam\", \"Butterfly\"], [\"Oh Sang Eun\", \"Butterfly\"], [\"Petr Korbel\", \"Butterfly\"], [\"Photino\", \"Butterfly\"], [\"Photino Light\", \"Butterfly\"], [\"Power 7\", \"Butterfly\"], [\"Primo Vitesse\", \"Butterfly\"], [\"Primorac\", \"Butterfly\"], [\"Primorac Carbon\", \"Butterfly\"], [\"Primorac EX\", \"Butterfly\"], [\"Sardius\", \"Butterfly\"], [\"Schlager Carbon\", \"Butterfly\"], [\"Schlager Precision\", \"Butterfly\"], [\"Taksim\", \"Butterfly\"], [\"Tiago Apolonia ZLC\", \"Butterfly\"], [\"Timo Boll ALC\", \"Butterfly\"], [\"Timo Boll ALL+\", \"Butterfly\"], [\"Timo Boll Forte\", \"Butterfly\"], [\"Timo Boll OFF-\", \"Butterfly\"], [\"Timo Boll Spark\", \"Butterfly\"], [\"Timo Boll Spirit\", \"Butterfly\"], [\"Timo Boll T5000 Tamca\", \"Butterfly\"], [\"Timo Boll W5\", \"Butterfly\"], [\"Timo Boll W7\", \"Butterfly\"], [\"Timo Boll ZLC\", \"Butterfly\"], [\"Timo Boll ZLF\", \"Butterfly\"], [\"Viscaria\", \"Butterfly\"], [\"Viscaria Light\", \"Butterfly\"], [\"Wakaba-An\", \"Butterfly\"], [\"Zhang Jike\", \"Butterfly\"], [\"Zhang Jike ALC\", \"Butterfly\"], [\"Zhang Jike Super ZLC\", \"Butterfly\"], [\"Aero OFF+ Soft Carbon\", \"Cornilleau\"], [\"Esteem\", \"Darker\"], [\"Speed 90\", \"Darker\"], [\"Appelgren Allplay\", \"Donic\"], [\"Appelgren Allplay Senso V1\", \"Donic\"], [\"Appelgren Dotec Control\", \"Donic\"], [\"Appelgren World Champion 89\", \"Donic\"], [\"Baum Esprit\", \"Donic\"], [\"Burn ALL+\", \"Donic\"], [\"Burn Aratox RS\", \"Donic\"], [\"Burn OFF-\", \"Donic\"], [\"Cayman\", \"Donic\"], [\"Defplay Classic Senso\", \"Donic\"], [\"Defplay Senso\", \"Donic\"], [\"Epox Carbotec\", \"Donic\"], [\"Epox Control\", \"Donic\"], [\"Epox Offensiv\", \"Donic\"], [\"Epox PowerAllround\", \"Donic\"], [\"Epox TopSpeed\", \"Donic\"], [\"Li Ping Kitex\", \"Donic\"], [\"Ovtcharov Carbospeed\", \"Donic\"], [\"Ovtcharov Senso V1\", \"Donic\"], [\"Ovtcharov True Carbon\", \"Donic\"], [\"Persson Carbotec\", \"Donic\"], [\"Persson Dotec OFF\", \"Donic\"], [\"Persson Exclusive OFF\", \"Donic\"], [\"Persson Power Allround\", \"Donic\"], [\"Persson Power Carbon\", \"Donic\"], [\"Persson Power Carbon Senso V1\", \"Donic\"], [\"Persson Powerplay\", \"Donic\"], [\"Persson Powerplay Senso V1\", \"Donic\"], [\"Waldner Allplay\", \"Donic\"], [\"Waldner Black Devil Carbon Balsa\", \"Donic\"], [\"Waldner Diablo Senso\", \"Donic\"], [\"Waldner Dicon\", \"Donic\"], [\"Waldner Dotec Carbon\", \"Donic\"], [\"Waldner Legend Carbon\", \"Donic\"], [\"Waldner OFF World Champion 89\", \"Donic\"], [\"Waldner Senso Carbon\", \"Donic\"], [\"Waldner Senso V1\", \"Donic\"], [\"Waldner Ultra Senso Carbon\", \"Donic\"], [\"506 Ma Long\", \"DHS\"], [\"Fang Bo Carbon\", \"DHS\"], [\"Hurricane 301\", \"DHS\"], [\"Hurricane Bo 2 (Hurricane B2)\", \"DHS\"], [\"Hurricane H-WL\", \"DHS\"], [\"Hurricane Hao\", \"DHS\"], [\"Hurricane Hao 656\", \"DHS\"], [\"Hurricane Hao III\", \"DHS\"], [\"Hurricane King\", \"DHS\"], [\"Hurricane King 655\", \"DHS\"], [\"Hurricane King III\", \"DHS\"], [\"Hurricane Long 2\", \"DHS\"], [\"Hurricane Long 3\", \"DHS\"], [\"Hurricane Long 5\", \"DHS\"], [\"Power-G PG7\", \"DHS\"], [\"Power-G PG9\", \"DHS\"], [\"Wind CW-C\", \"DHS\"], [\"Barricade DEF\", \"Dr._Neubauer\"], [\"Firewall Plus\", \"Dr._Neubauer\"], [\"Bomb\", \"Friendship/729\"], [\"C-3\", \"Friendship/729\"], [\"Dynasty Hinoki Carbon\", \"Friendship/729\"], [\"V-6\", \"Friendship/729\"], [\"896\", \"Yinhe\"], [\"980\", \"Yinhe\"], [\"988\", \"Yinhe\"], [\"Carbokev K-4\", \"Yinhe\"], [\"Def 5\", \"Yinhe\"], [\"Earth E-3\", \"Yinhe\"], [\"EC-14\", \"Yinhe\"], [\"J-1\", \"Yinhe\"], [\"MC-2\", \"Yinhe\"], [\"Mercury Y-13\", \"Yinhe\"], [\"Mercury Y-15\", \"Yinhe\"], [\"N-11\", \"Yinhe\"], [\"N-9\", \"Yinhe\"], [\"N11 S\", \"Yinhe\"], [\"N9S\", \"Yinhe\"], [\"T-1\", \"Yinhe\"], [\"T-10\", \"Yinhe\"], [\"T-11\", \"Yinhe\"], [\"T-11+\", \"Yinhe\"], [\"T-2\", \"Yinhe\"], [\"T-4\", \"Yinhe\"], [\"T-4s\", \"Yinhe\"], [\"T-7\", \"Yinhe\"], [\"T-8\", \"Yinhe\"], [\"T-8S\", \"Yinhe\"], [\"T7s\", \"Yinhe\"], [\"Venus V-12\", \"Yinhe\"], [\"Venus V-13\", \"Yinhe\"], [\"Venus V-14\", \"Yinhe\"], [\"Venus V-14 PRO\", \"Yinhe\"], [\"W-6\", \"Yinhe\"], [\"Y-2\", \"Yinhe\"], [\"Y-3\", \"Yinhe\"], [\"Y-4\", \"Yinhe\"], [\"Arylate Carbon\", \"Gambler\"], [\"Clipper\", \"Huaruite\"], [\"Aruna OFF\", \"JOOLA\"], [\"Bomb Extrem MCD\", \"JOOLA\"], [\"Chen Weixing\", \"JOOLA\"], [\"Eagle Fast\", \"JOOLA\"], [\"Fever\", \"JOOLA\"], [\"Flame Extreme\", \"JOOLA\"], [\"Flame Fast\", \"JOOLA\"], [\"Kool\", \"JOOLA\"], [\"MC1\", \"JOOLA\"], [\"Rossi Force\", \"JOOLA\"], [\"Rosskopf Emotion\", \"JOOLA\"], [\"TPE Nature\", \"JOOLA\"], [\"Viva\", \"JOOLA\"], [\"Wing Passion Extreme\", \"JOOLA\"], [\"Wing Passion Fast\", \"JOOLA\"], [\"Ayous Hinoki\", \"LKT\"], [\"Instinct\", \"LKT\"], [\"Instinct+\", \"LKT\"], [\"Toxic 3\", \"LKT\"], [\"Will Power\", \"LKT\"], [\"Calix\", \"Nexy\"], [\"Acoustic\", \"Nittaku\"], [\"Acoustic  Large Handle\", \"Nittaku\"], [\"Acoustic Carbon\", \"Nittaku\"], [\"Acoustic Carbon Inner Large Handle\", \"Nittaku\"], [\"Adelie\", \"Nittaku\"], [\"Alulass\", \"Nittaku\"], [\"Barwell\", \"Nittaku\"], [\"Barwell Fleet\", \"Nittaku\"], [\"KCZ\", \"Nittaku\"], [\"Latika\", \"Nittaku\"], [\"Ludeack\", \"Nittaku\"], [\"Ludeack Fleet\", \"Nittaku\"], [\"Narcus\", \"Nittaku\"], [\"Redshank\", \"Nittaku\"], [\"Rutis\", \"Nittaku\"], [\"S-Series S-CZ\", \"Nittaku\"], [\"Septear\", \"Nittaku\"], [\"Septear Lead\", \"Nittaku\"], [\"Shake Defence\", \"Nittaku\"], [\"Tenor\", \"Nittaku\"], [\"Torua\", \"Nittaku\"], [\"Violin\", \"Nittaku\"], [\"Expert ALL+\", \"OSP\"], [\"Virtuoso OFF-\", \"OSP\"], [\"CAT\", \"Palio\"], [\"ENERGY 03\", \"Palio\"], [\"TCT\", \"Palio\"], [\"F3 Pro\", \"Sanwei\"], [\"FEXTRA 7\", \"Sanwei\"], [\"Allround Classic\", \"Stiga\"], [\"Allround Classic Carbon\", \"Stiga\"], [\"Allround Classic WRB\", \"Stiga\"], [\"Allround Evolution\", \"Stiga\"], [\"Allround NCT\", \"Stiga\"], [\"Carbo 7.6 WRB\", \"Stiga\"], [\"Carbonado 145\", \"Stiga\"], [\"Carbonado 190\", \"Stiga\"], [\"Carbonado 245\", \"Stiga\"], [\"Carbonado 290\", \"Stiga\"], [\"CC7\", \"Stiga\"], [\"Clipper\", \"Stiga\"], [\"Clipper CC\", \"Stiga\"], [\"Clipper CR (WRB)\", \"Stiga\"], [\"Clipper WRB\", \"Stiga\"], [\"Defensive NCT\", \"Stiga\"], [\"Ebenholz NCT V (5)\", \"Stiga\"], [\"Ebenholz NCT VII (7)\", \"Stiga\"], [\"Emerald VPS V\", \"Stiga\"], [\"Energy WRB\", \"Stiga\"], [\"Hybrid Wood NCT\", \"Stiga\"], [\"Infinity VPS V Diamond Touch\", \"Stiga\"], [\"Intensity NCT\", \"Stiga\"], [\"Intensity NCT Carbon\", \"Stiga\"], [\"Maplewood NCT V\", \"Stiga\"], [\"Offensive Classic (OC)\", \"Stiga\"], [\"Offensive Classic Carbon\", \"Stiga\"], [\"Offensive Classic WRB\", \"Stiga\"], [\"Offensive Wood NCT\", \"Stiga\"], [\"Optimum Carbo\", \"Stiga\"], [\"Rosewood NCT V\", \"Stiga\"], [\"Rosewood NCT VII\", \"Stiga\"], [\"Rosewood XO\", \"Stiga\"], [\"Tube Carbo WRB\", \"Stiga\"], [\"CCA Unlimited\", \"Tibhar\"], [\"Lebesson\", \"Tibhar\"], [\"Phantom X\", \"Tibhar\"], [\"Red Cypress\", \"Tibhar\"], [\"Samsonov Alpha\", \"Tibhar\"], [\"Samsonov Carbon\", \"Tibhar\"], [\"Samsonov Force Pro\", \"Tibhar\"], [\"Samsonov Force Pro Black Edition\", \"Tibhar\"], [\"Samsonov Premium Contact\", \"Tibhar\"], [\"Stratus Power Wood\", \"Tibhar\"], [\"Stratus Samsonov Carbon\", \"Tibhar\"], [\"Altero\", \"TSP\"], [\"Award Offensive\", \"TSP\"], [\"Balsa 2.5 Defence\", \"TSP\"], [\"Balsa 3.5 DEF+\", \"TSP\"], [\"Balsa 4.5 ALL\", \"TSP\"], [\"Balsa 5.5 ALL+\", \"TSP\"], [\"Balsa 6.5 OFF\", \"TSP\"], [\"Black Balsa 5.0\", \"TSP\"], [\"Black Balsa 7.0\", \"TSP\"], [\"Euro Feeling\", \"TSP\"], [\"Hino-Carbon Power\", \"TSP\"], [\"Reflex 50 Award OFF\", \"TSP\"], [\"Fire Fall AC\", \"Victas\"], [\"Fire Fall FC\", \"Victas\"], [\"Fire Fall VC\", \"Victas\"], [\"Koji Matsushita\", \"Victas\"], [\"Koji Matsushita Defensive\", \"Victas\"], [\"Shark 686\", \"Xi_Enting\"], [\"Aigis\", \"Xiom\"], [\"Aria\", \"Xiom\"], [\"Axelo\", \"Xiom\"], [\"Diva\", \"Xiom\"], [\"Extreme S\", \"Xiom\"], [\"Fuga\", \"Xiom\"], [\"Hayabusa ZXi\", \"Xiom\"], [\"Ignito\", \"Xiom\"], [\"Offensive S\", \"Xiom\"], [\"Stradivarius\", \"Xiom\"], [\"Strato\", \"Xiom\"], [\"V1 Quad\", \"Xiom\"], [\"Vega Euro\", \"Xiom\"], [\"Vega Pro\", \"Xiom\"], [\"Vega Tour\", \"Xiom\"], [\"Zetro Quad\", \"Xiom\"], [\"Black Knight 7\", \"XVT\"], [\"Balsa\", \"Yasaka\"], [\"Dynamix 17\", \"Yasaka\"], [\"Extra\", \"Yasaka\"], [\"Extra Offensive 7 Power\", \"Yasaka\"], [\"Extra Special\", \"Yasaka\"], [\"Gatien Extra\", \"Yasaka\"], [\"Goiabao 5\", \"Yasaka\"], [\"Ma Lin Carbon\", \"Yasaka\"], [\"Ma Lin Extra Offensive\", \"Yasaka\"], [\"Ma Lin Soft Carbon\", \"Yasaka\"], [\"Max Carbon 3D\", \"Yasaka\"], [\"Silverline Carbon\", \"Yasaka\"], [\"Sweden Classic\", \"Yasaka\"], [\"Sweden Extra\", \"Yasaka\"], [\"X1\", \"Yasaka\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [9.2, 9.0, 9.1, 7.5, 8.5, 9.2, 9.5, 9.1, 9.4, 7.9, 9.0, 9.5, 8.5, 9.5, 8.9, 9.0, 9.2, 9.3, 8.8, 7.6, 9.0, 9.4, 9.2, 8.9, 8.3, 8.9, 9.6, 7.0, 8.1, 8.3, 9.7, 7.5, 4.3, 9.3, 9.0, 8.8, 8.8, 9.1, 9.4, 9.4, 9.2, 8.2, 8.8, 9.1, 8.5, 9.1, 9.3, 9.0, 9.2, 8.9, 9.5, 9.0, 7.4, 7.3, 9.5, 9.6, 9.1, 8.6, 8.0, 8.5, 8.4, 9.3, 9.1, 9.0, 6.0, 8.0, 8.5, 8.8, 8.6, 9.2, 7.8, 8.3, 9.3, 9.4, 9.0, 8.4, 7.7, 9.3, 8.3, 9.5, 9.5, 7.6, 9.0, 9.1, 8.9, 7.8, 8.5, 7.9, 7.6, 8.5, 9.6, 8.5, 8.9, 9.4, 8.8, 9.0, 8.8, 8.0, 8.6, 9.2, 9.4, 9.1, 9.4, 9.5, 6.8, 6.7, 7.4, 8.3, 8.7, 7.9, 8.7, 8.3, 8.1, 6.0, 5.5, 9.1, 7.7, 8.6, 8.3, 9.4, 9.2, 9.6, 8.9, 9.1, 9.0, 8.4, 7.9, 7.5, 9.4, 9.2, 8.6, 8.3, 7.3, 9.4, 8.1, 7.8, 9.1, 9.1, 9.1, 8.3, 7.7, 8.4, 9.2, 9.4, 9.2, 9.5, 9.5, 8.1, 8.7, 9.0, 8.6, 8.4, 9.3, 9.2, 9.4, 9.7, 8.9, 9.2, 9.4, 5.5, 8.4, 8.5, 8.0, 9.1, 8.2, 7.6, 7.0, 9.3, 8.4, 4.3, 8.2, 9.3, 7.9, 8.2, 8.8, 9.0, 8.0, 9.1, 8.2, 9.0, 9.3, 9.1, 9.5, 9.3, 9.3, 9.6, 9.6, 8.3, 9.3, 9.5, 9.1, 9.2, 8.9, 9.0, 9.2, 8.0, 9.1, 8.7, 8.8, 7.6, 8.3, 9.0, 9.7, 7.8, 8.3, 8.8, 9.6, 8.7, 9.6, 9.7, 9.3, 8.7, 8.8, 8.4, 9.6, 8.3, 7.7, 6.6, 7.9, 4.7, 9.3, 8.8, 8.5, 9.0, 9.3, 8.8, 8.7, 8.5, 9.2, 9.1, 9.1, 8.1, 8.6, 9.1, 8.8, 8.4, 8.8, 9.1, 8.4, 8.7, 6.5, 9.1, 7.2, 8.3, 7.6, 8.1, 8.0, 8.8, 8.9, 9.2, 8.4, 6.7, 7.5, 6.7, 7.6, 7.5, 9.3, 9.4, 9.3, 9.7, 9.3, 9.7, 8.5, 9.5, 8.9, 8.8, 5.6, 9.1, 9.4, 9.4, 7.6, 9.5, 8.6, 8.8, 9.3, 9.1, 7.6, 8.5, 8.1, 8.1, 9.2, 8.9, 9.1, 9.2, 9.3, 9.1, 8.4, 9.5, 8.8, 7.8, 9.0, 9.0, 9.3, 8.0, 8.9, 9.0, 9.1, 8.4, 5.0, 5.2, 7.5, 8.6, 9.3, 7.0, 9.2, 8.4, 9.1, 8.6, 9.4, 8.5, 9.5, 6.2, 5.0, 9.3, 6.7, 8.7, 9.4, 8.4, 9.2, 8.3, 9.6, 9.1, 8.4, 8.9, 9.5, 9.1, 8.6, 8.7, 9.5, 9.0, 9.2, 7.5, 9.5, 7.4, 9.2, 8.7, 7.6, 9.4, 8.7, 8.6, 7.8, 9.7, 9.0, 6.8, 8.0, 9.4]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [8.8, 8.7, 9.1, 9.1, 8.8, 9.5, 9.4, 9.0, 8.8, 9.5, 9.2, 9.2, 9.3, 9.6, 9.2, 9.5, 9.5, 9.4, 9.6, 8.7, 8.5, 8.9, 8.8, 9.0, 9.1, 8.9, 8.7, 8.9, 9.1, 8.4, 7.1, 9.2, 9.2, 6.9, 9.5, 9.5, 8.7, 8.9, 8.1, 8.4, 8.0, 8.6, 9.1, 9.5, 9.3, 9.2, 8.2, 8.9, 8.9, 9.0, 8.5, 8.2, 8.6, 8.8, 8.8, 8.9, 9.0, 8.9, 8.0, 8.7, 8.7, 7.5, 9.5, 9.2, 8.7, 8.9, 8.4, 7.7, 8.6, 6.6, 8.9, 8.6, 8.4, 8.4, 8.4, 8.4, 8.8, 7.4, 9.2, 7.1, 7.3, 8.1, 8.6, 9.0, 8.6, 9.1, 8.2, 8.6, 8.1, 8.5, 8.0, 9.0, 8.7, 9.1, 9.3, 8.7, 8.3, 8.4, 9.1, 9.0, 9.4, 8.7, 9.3, 9.4, 8.8, 8.9, 8.4, 9.7, 9.1, 8.8, 8.0, 8.4, 8.3, 9.3, 9.5, 9.0, 9.2, 8.1, 8.8, 7.2, 8.8, 8.2, 8.0, 8.6, 6.5, 8.7, 8.4, 8.3, 8.7, 7.6, 8.4, 8.1, 9.1, 8.1, 8.7, 9.0, 9.3, 8.9, 8.8, 8.8, 9.0, 8.5, 9.2, 9.0, 9.5, 9.2, 8.5, 8.9, 9.3, 9.4, 8.8, 8.6, 9.1, 9.5, 9.4, 9.3, 8.9, 8.7, 7.3, 9.4, 9.0, 8.5, 8.7, 8.4, 8.8, 8.6, 9.4, 8.8, 8.8, 9.2, 9.0, 8.9, 9.0, 9.3, 9.2, 9.2, 8.5, 9.1, 9.5, 9.5, 8.4, 7.7, 8.9, 8.9, 8.2, 8.3, 8.8, 8.8, 8.6, 9.2, 9.2, 9.2, 9.4, 9.0, 9.2, 8.8, 9.2, 7.7, 9.0, 8.7, 9.2, 9.5, 8.1, 8.7, 8.8, 9.2, 8.3, 9.2, 7.7, 9.0, 8.8, 9.1, 9.3, 8.8, 8.3, 7.3, 8.5, 8.8, 8.4, 9.2, 8.3, 9.3, 9.2, 9.2, 9.0, 9.6, 9.4, 9.3, 8.9, 9.4, 7.6, 8.9, 9.2, 8.3, 8.7, 9.1, 8.5, 9.6, 8.4, 9.5, 9.0, 9.0, 8.7, 9.0, 9.3, 9.2, 8.6, 9.2, 8.0, 9.0, 9.3, 8.9, 8.9, 9.0, 8.5, 9.2, 8.5, 8.7, 9.3, 8.7, 9.2, 8.2, 8.4, 8.8, 8.4, 8.5, 9.4, 9.0, 8.5, 9.2, 8.3, 9.0, 8.9, 8.7, 9.0, 9.1, 8.4, 8.7, 8.3, 9.0, 7.1, 8.8, 8.7, 8.6, 8.3, 9.2, 9.0, 8.4, 9.1, 8.5, 8.0, 8.8, 9.3, 8.7, 9.3, 8.9, 8.8, 9.0, 9.5, 9.5, 9.5, 9.1, 9.5, 9.5, 9.4, 9.4, 8.4, 9.3, 9.2, 9.4, 9.4, 9.6, 9.7, 8.9, 9.6, 8.5, 8.3, 9.4, 9.0, 8.0, 8.7, 9.1, 9.2, 8.6, 8.8, 8.6, 9.3, 9.2, 9.6, 8.9, 9.2, 7.7, 9.0, 9.0, 9.0, 8.8, 8.9, 9.1, 8.2, 8.6, 8.0, 8.4, 8.8, 9.2, 9.3, 7.4]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [375000, 183750, 225000, 225000, 206250, 562500, 562500, 243750, 243750, 191250, 262500, 232500, 168750, 318750, 330000, 300000, 337500, 468750, 562500, 243750, 371250, 468750, 337500, 345000, 243750, 288750, 862500, 198750, 225000, 318750, 431250, 187500, 206250, 243750, 746250, 896250, 543750, 525000, 937500, 453750, 367500, 562500, 506250, 637500, 562500, 806250, 562500, 468750, 1031250, 637500, 581250, 562500, 637500, 356250, 933750, 1402500, 933750, 356250, 337500, 375000, 300000, 1500000, 971250, 761250, 187500, 243750, 262500, 300000, 937500, 1500000, 243750, 236250, 750000, 596250, 225000, 375000, 187500, 405000, 255000, 506250, 1125000, 266250, 975000, 975000, 562500, 198750, 262500, 243750, 543750, 431250, 525000, 318750, 348750, 851250, 937500, 555000, 562500, 150000, 600000, 618750, 1548750, 221250, 453750, 1125000, 105000, 165000, 161250, 420000, 195000, 187500, 318750, 187500, 108750, 187500, 187500, 251250, 213750, 213750, 157500, 210000, 296250, 236250, 255000, 371250, 198750, 296250, 120000, 161250, 206250, 206250, 180000, 112500, 112500, 213750, 217500, 180000, 337500, 217500, 487500, 187500, 150000, 228750, 423750, 270000, 258750, 262500, 187500, 333750, 521250, 630000, 528750, 502500, 746250, 750000, 750000, 712500, 105000, 112500, 150000, 187500, 243750, 67500, 112500, 116250, 101250, 45000, 105000, 75000, 183750, 75000, 67500, 112500, 138750, 168750, 168750, 82500, 48750, 56250, 56250, 56250, 206250, 150000, 93750, 131250, 112500, 131250, 217500, 150000, 105000, 225000, 150000, 165000, 150000, 172500, 225000, 150000, 56250, 78750, 116250, 120000, 45000, 525000, 412500, 281250, 262500, 525000, 337500, 300000, 480000, 371250, 371250, 375000, 281250, 243750, 412500, 371250, 82500, 60000, 60000, 90000, 120000, 562500, 618750, 615000, 671250, 641250, 551250, 326250, 618750, 843750, 318750, 277500, 375000, 746250, 187500, 187500, 412500, 525000, 187500, 225000, 412500, 663750, 172500, 618750, 420000, 420000, 82500, 56250, 183750, 187500, 112500, 142500, 176250, 161250, 131250, 195000, 311250, 656250, 618750, 753750, 750000, 521250, 262500, 427500, 288750, 243750, 206250, 513750, 506250, 487500, 146250, 405000, 281250, 408750, 450000, 487500, 172500, 180000, 225000, 206250, 412500, 431250, 525000, 487500, 198750, 637500, 183750, 300000, 236250, 142500, 187500, 225000, 180000, 206250, 146250, 255000, 337500, 168750, 225000, 243750, 243750, 243750, 206250, 243750, 157500, 168750, 375000, 120000, 378750, 378750, 525000, 356250, 401250, 112500, 243750, 243750, 356250, 142500, 187500, 232500, 675000, 318750, 138750, 506250, 273750, 393750, 525000, 675000, 675000, 356250, 75000, 142500, 273750, 150000, 168750, 153750, 142500, 195000, 225000, 127500, 187500, 232500, 187500, 150000, 131250, 172500]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [6.4, 6.5, 5.4, 5.1, 5.7, 6.5, 5.7, 5.1, 6.3, 6.3, 7.1, 7.3, 4.9, 6.5, 5.3, 4.8, 5.4, 5.9, 5.4, 3.9, 6.0, 8.3, 6.9, 5.2, 4.6, 5.7, 6.8, 3.7, 7.7, 4.6, 8.2, 6.1, 1.6, 6.3, 5.7, 4.5, 5.4, 6.6, 9.6, 6.9, 8.8, 4.5, 5.4, 4.3, 4.1, 5.3, 6.9, 5.8, 4.8, 3.8, 5.7, 6.7, 3.6, 6.1, 6.0, 6.7, 5.8, 5.4, 5.9, 5.4, 6.3, 7.6, 3.5, 5.0, 2.9, 5.7, 5.1, 6.7, 5.2, 8.3, 4.9, 5.0, 5.5, 4.4, 5.2, 6.5, 4.5, 7.2, 4.8, 8.4, 8.5, 5.1, 6.2, 5.2, 5.7, 3.7, 5.2, 5.3, 3.5, 5.5, 7.2, 5.3, 7.1, 5.4, 5.1, 5.0, 6.2, 4.6, 4.8, 5.7, 6.3, 4.4, 5.4, 4.3, 4.0, 2.5, 5.0, 5.1, 4.9, 6.3, 6.3, 5.4, 6.6, 3.5, 3.5, 6.6, 6.3, 5.5, 6.7, 7.1, 6.2, 7.7, 6.8, 6.3, 7.8, 5.2, 5.5, 5.2, 7.5, 6.1, 5.5, 6.3, 4.3, 7.4, 4.8, 4.2, 6.5, 6.5, 6.7, 5.4, 4.1, 5.3, 7.0, 5.4, 4.1, 5.0, 7.1, 4.2, 6.2, 7.4, 5.8, 5.3, 6.8, 7.2, 5.3, 5.5, 5.9, 6.3, 9.0, 2.7, 5.9, 5.1, 4.6, 5.9, 5.0, 2.5, 5.1, 6.1, 5.2, 0.8, 3.4, 6.9, 5.6, 3.9, 5.7, 4.7, 4.4, 6.5, 4.1, 5.7, 8.5, 8.2, 7.0, 7.2, 8.4, 8.2, 7.2, 6.3, 6.5, 5.9, 6.1, 4.8, 4.7, 5.4, 5.9, 4.1, 6.7, 6.0, 6.4, 4.2, 5.4, 4.9, 6.9, 5.6, 5.5, 5.6, 6.5, 4.8, 8.8, 6.0, 6.2, 5.6, 5.3, 5.9, 8.1, 5.8, 3.6, 4.2, 5.7, 1.3, 8.5, 5.0, 4.8, 5.2, 6.1, 5.2, 4.5, 5.4, 4.4, 6.2, 8.3, 4.7, 5.0, 6.3, 6.8, 4.8, 5.4, 5.2, 4.7, 3.6, 6.3, 6.8, 4.0, 3.1, 3.4, 3.8, 4.8, 5.8, 8.8, 5.8, 4.7, 3.3, 4.8, 3.2, 4.5, 4.8, 7.6, 6.8, 7.1, 7.5, 7.5, 9.7, 5.9, 5.3, 6.3, 6.1, 4.1, 6.3, 8.8, 6.7, 3.5, 7.6, 5.3, 6.1, 7.0, 4.7, 3.6, 5.1, 4.9, 4.8, 7.1, 5.8, 6.0, 5.3, 6.7, 6.5, 4.0, 7.7, 6.2, 5.3, 7.6, 5.7, 4.2, 4.8, 5.0, 4.7, 5.4, 3.2, 1.6, 3.5, 5.5, 5.7, 5.8, 4.0, 6.3, 4.0, 6.1, 5.0, 6.1, 5.0, 7.2, 2.6, 2.9, 7.3, 1.6, 5.4, 7.1, 4.7, 6.8, 4.2, 7.0, 5.8, 4.6, 6.5, 7.0, 7.0, 6.1, 6.0, 6.7, 5.9, 6.1, 6.0, 8.4, 3.9, 6.5, 5.4, 3.7, 6.0, 5.4, 5.8, 4.8, 8.7, 5.2, 2.8, 3.6, 6.9]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [8.9, 9.1, 9.0, 9.0, 8.8, 9.4, 9.5, 9.2, 9.3, 9.3, 9.3, 9.5, 9.1, 9.6, 9.3, 9.5, 9.4, 9.5, 9.4, 8.7, 9.1, 9.0, 9.1, 9.3, 9.4, 9.5, 9.5, 8.7, 9.1, 8.8, 9.1, 9.3, 8.3, 7.8, 9.6, 9.4, 8.9, 9.2, 9.1, 9.0, 9.0, 9.0, 9.4, 9.6, 9.1, 9.4, 8.8, 9.2, 9.4, 9.3, 9.4, 8.8, 8.3, 9.1, 9.4, 9.4, 9.4, 9.0, 8.0, 9.1, 9.1, 9.2, 9.6, 9.3, 8.5, 8.8, 8.9, 8.6, 9.3, 8.8, 9.0, 8.9, 9.5, 9.2, 8.8, 8.6, 8.7, 8.9, 9.2, 8.8, 9.0, 8.4, 9.2, 9.4, 9.3, 8.7, 8.5, 8.8, 8.5, 9.3, 9.1, 9.3, 8.6, 9.3, 9.4, 9.4, 9.5, 8.0, 9.4, 9.5, 9.5, 9.3, 9.2, 9.5, 8.9, 8.9, 8.2, 9.0, 9.3, 8.7, 8.9, 8.8, 8.6, 9.3, 9.4, 9.2, 8.7, 8.7, 8.7, 8.7, 9.2, 9.2, 8.9, 8.6, 8.4, 8.7, 8.5, 8.8, 9.2, 9.0, 8.9, 8.5, 8.3, 9.1, 9.0, 9.0, 9.4, 9.3, 9.5, 9.2, 8.9, 8.8, 9.4, 9.2, 9.6, 9.4, 9.3, 8.6, 9.3, 9.5, 9.1, 9.1, 9.5, 9.1, 9.6, 9.6, 9.2, 8.9, 8.6, 8.7, 8.9, 8.6, 8.6, 8.5, 9.2, 8.3, 9.3, 9.1, 9.2, 9.2, 9.0, 9.3, 8.6, 9.4, 9.5, 9.2, 8.5, 9.2, 9.4, 9.4, 9.0, 9.3, 9.4, 9.1, 8.7, 9.4, 9.3, 9.1, 9.3, 9.5, 9.3, 9.2, 9.5, 9.1, 9.5, 8.9, 9.3, 9.3, 9.2, 8.3, 9.0, 9.5, 8.9, 8.8, 8.5, 9.5, 9.3, 9.2, 9.3, 9.4, 9.3, 9.3, 9.3, 9.2, 9.3, 8.4, 8.5, 7.7, 8.4, 8.1, 9.1, 9.2, 9.6, 9.5, 9.3, 9.5, 9.5, 9.5, 9.6, 9.5, 9.0, 9.2, 9.5, 8.9, 9.5, 9.3, 9.0, 9.6, 9.2, 9.6, 8.6, 9.5, 8.8, 9.4, 9.4, 9.3, 8.7, 9.1, 8.9, 9.0, 9.4, 8.6, 9.0, 8.8, 8.2, 9.1, 9.3, 9.1, 9.4, 9.2, 9.4, 9.3, 9.2, 9.6, 9.0, 9.0, 9.5, 9.2, 9.3, 9.4, 8.7, 9.6, 9.2, 9.2, 9.3, 9.5, 8.6, 8.8, 8.9, 9.0, 8.4, 9.3, 9.4, 9.1, 9.2, 9.5, 9.2, 9.0, 9.4, 8.7, 8.5, 9.4, 9.5, 9.1, 9.5, 9.4, 9.3, 9.0, 9.3, 9.5, 9.4, 9.2, 9.5, 9.4, 9.5, 9.5, 9.0, 9.5, 9.5, 9.5, 9.4, 9.5, 9.6, 8.9, 9.0, 8.9, 9.2, 9.3, 9.3, 8.8, 9.3, 9.4, 9.5, 9.0, 9.5, 9.3, 9.5, 9.3, 9.5, 9.4, 9.2, 7.8, 9.6, 9.1, 9.5, 8.9, 8.8, 9.5, 8.7, 9.1, 8.3, 9.3, 9.3, 8.7, 9.2, 8.3]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}<br>Name=%{customdata[0]}<br>Brand=%{customdata[1]}\", \"legendgroup\": \"\", \"marker\": {\"color\": \"#636efa\", \"size\": [14, 19, 28, 17, 14, 16, 10, 18, 14, 42, 14, 30, 31, 14, 15, 34, 21, 57, 21, 16, 14, 11, 11, 10, 26, 29, 47, 22, 10, 54, 38, 15, 11, 11, 19, 13, 11, 16, 11, 17, 30, 20, 33, 32, 10, 10, 26, 11, 60, 27, 15, 16, 22, 31, 39, 24, 10, 19, 16, 12, 25, 24, 43, 11, 10, 13, 15, 14, 53, 15, 20, 79, 28, 15, 13, 12, 77, 56, 16, 54, 48, 15, 12, 11, 115, 25, 21, 19, 13, 106, 24, 25, 14, 41, 43, 109, 17, 10, 30, 22, 37, 14, 10, 26, 38, 11, 12, 10, 12, 18, 10, 22, 13, 16, 21, 12, 17, 19, 15, 21, 11, 33, 13, 13, 11, 11, 12, 10, 11, 11, 26, 15, 13, 43, 12, 10, 16, 17, 18, 73, 10, 39, 13, 21, 59, 13, 24, 14, 16, 15, 27, 10, 17, 10, 34, 62, 132, 12, 22, 14, 17, 43, 12, 10, 19, 13, 15, 10, 10, 12, 11, 13, 18, 26, 14, 15, 11, 61, 13, 21, 11, 10, 54, 71, 17, 20, 16, 15, 32, 19, 10, 11, 12, 31, 21, 30, 12, 11, 14, 13, 22, 14, 18, 18, 13, 20, 19, 12, 29, 28, 14, 38, 11, 17, 15, 10, 10, 28, 13, 12, 10, 14, 62, 12, 14, 11, 20, 12, 13, 55, 10, 19, 22, 12, 11, 10, 10, 12, 17, 15, 11, 21, 10, 38, 13, 38, 10, 19, 15, 19, 21, 46, 12, 21, 13, 30, 19, 16, 23, 11, 12, 10, 45, 16, 27, 15, 13, 33, 26, 10, 14, 64, 65, 19, 15, 16, 38, 18, 21, 21, 15, 47, 35, 21, 22, 16, 12, 11, 13, 24, 13, 13, 33, 13, 92, 20, 10, 13, 11, 10, 10, 14, 12, 10, 18, 11, 15, 15, 10, 21, 12, 14, 10, 15, 15, 13, 20, 22, 20, 22, 30, 14, 36, 50, 30, 13, 18, 21, 28, 71, 10, 10, 51, 24, 16, 24, 41, 33, 19, 73, 18, 16, 11, 24, 26, 10], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"\", \"showlegend\": false, \"type\": \"splom\"}],\n",
              "                        {\"dragmode\": \"select\", \"height\": 800, \"legend\": {\"itemsizing\": \"constant\", \"tracegroupgap\": 0}, \"margin\": {\"t\": 60}, \"template\": {\"data\": {\"bar\": [{\"error_x\": {\"color\": \"#2a3f5f\"}, \"error_y\": {\"color\": \"#2a3f5f\"}, \"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"bar\"}], \"barpolar\": [{\"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"barpolar\"}], \"carpet\": [{\"aaxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"baxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"type\": \"carpet\"}], \"choropleth\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"choropleth\"}], \"contour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"contour\"}], \"contourcarpet\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"contourcarpet\"}], \"heatmap\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmap\"}], \"heatmapgl\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmapgl\"}], \"histogram\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"histogram\"}], \"histogram2d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2d\"}], \"histogram2dcontour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2dcontour\"}], \"mesh3d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"mesh3d\"}], \"parcoords\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"parcoords\"}], \"pie\": [{\"automargin\": true, \"type\": \"pie\"}], \"scatter\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter\"}], \"scatter3d\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter3d\"}], \"scattercarpet\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattercarpet\"}], \"scattergeo\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergeo\"}], \"scattergl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergl\"}], \"scattermapbox\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattermapbox\"}], \"scatterpolar\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolar\"}], \"scatterpolargl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolargl\"}], \"scatterternary\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterternary\"}], \"surface\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"surface\"}], \"table\": [{\"cells\": {\"fill\": {\"color\": \"#EBF0F8\"}, \"line\": {\"color\": \"white\"}}, \"header\": {\"fill\": {\"color\": \"#C8D4E3\"}, \"line\": {\"color\": \"white\"}}, \"type\": \"table\"}]}, \"layout\": {\"annotationdefaults\": {\"arrowcolor\": \"#2a3f5f\", \"arrowhead\": 0, \"arrowwidth\": 1}, \"coloraxis\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"colorscale\": {\"diverging\": [[0, \"#8e0152\"], [0.1, \"#c51b7d\"], [0.2, \"#de77ae\"], [0.3, \"#f1b6da\"], [0.4, \"#fde0ef\"], [0.5, \"#f7f7f7\"], [0.6, \"#e6f5d0\"], [0.7, \"#b8e186\"], [0.8, \"#7fbc41\"], [0.9, \"#4d9221\"], [1, \"#276419\"]], \"sequential\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"sequentialminus\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]]}, \"colorway\": [\"#636efa\", \"#EF553B\", \"#00cc96\", \"#ab63fa\", \"#FFA15A\", \"#19d3f3\", \"#FF6692\", \"#B6E880\", \"#FF97FF\", \"#FECB52\"], \"font\": {\"color\": \"#2a3f5f\"}, \"geo\": {\"bgcolor\": \"white\", \"lakecolor\": \"white\", \"landcolor\": \"#E5ECF6\", \"showlakes\": true, \"showland\": true, \"subunitcolor\": \"white\"}, \"hoverlabel\": {\"align\": \"left\"}, \"hovermode\": \"closest\", \"mapbox\": {\"style\": \"light\"}, \"paper_bgcolor\": \"white\", \"plot_bgcolor\": \"#E5ECF6\", \"polar\": {\"angularaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"radialaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"scene\": {\"xaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"yaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"zaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}}, \"shapedefaults\": {\"line\": {\"color\": \"#2a3f5f\"}}, \"ternary\": {\"aaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"baxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"caxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}}}, \"width\": 1000},\n",
              "                        {\"responsive\": true}\n",
              "                    ).then(function(){\n",
              "                            \n",
              "var gd = document.getElementById('7df1562e-f64b-49a8-90a4-e84e5657f020');\n",
              "var x = new MutationObserver(function (mutations, observer) {{\n",
              "        var display = window.getComputedStyle(gd).display;\n",
              "        if (!display || display === 'none') {{\n",
              "            console.log([gd, 'removed!']);\n",
              "            Plotly.purge(gd);\n",
              "            observer.disconnect();\n",
              "        }}\n",
              "}});\n",
              "\n",
              "// Listen for the removal of the full notebook cells\n",
              "var notebookContainer = gd.closest('#notebook-container');\n",
              "if (notebookContainer) {{\n",
              "    x.observe(notebookContainer, {childList: true});\n",
              "}}\n",
              "\n",
              "// Listen for the clearing of the current output cell\n",
              "var outputEl = gd.closest('.output');\n",
              "if (outputEl) {{\n",
              "    x.observe(outputEl, {childList: true});\n",
              "}}\n",
              "\n",
              "                        })\n",
              "                };\n",
              "                \n",
              "            </script>\n",
              "        </div>\n",
              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "m1qdb1k_JL3Q"
      },
      "source": [
        "Como primera visualización de interés para los usuarios, se repite el diagrama de dispersión anterior pero esta vez representando la marca de los maderos por medio del canal del color de los marcadores con el propósito de facilitar el filtrado por este concepto para el usuario que interactúe con esta representación."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mOagBiQpER68",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 817
        },
        "outputId": "4f175bb3-673b-4fd6-e0bb-8c9c6b5d1013"
      },
      "source": [
        "px.scatter_matrix(interest_blades_df, dimensions=[\"Speed\", \"Control\", \"Price\", \"Stiffness\", 'Overall'], \n",
        "                  color = \"Brand\", hover_name=\"Name\", hover_data= ['Brand'], size = \"Ratings\", width=1000, height=800)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<html>\n",
              "<head><meta charset=\"utf-8\" /></head>\n",
              "<body>\n",
              "    <div>\n",
              "            <script src=\"https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-AMS-MML_SVG\"></script><script type=\"text/javascript\">if (window.MathJax) {MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}</script>\n",
              "                <script type=\"text/javascript\">window.PlotlyConfig = {MathJaxConfig: 'local'};</script>\n",
              "        <script src=\"https://cdn.plot.ly/plotly-latest.min.js\"></script>    \n",
              "            <div id=\"8bb38e65-4a2b-481d-95be-6b0f80398add\" class=\"plotly-graph-div\" style=\"height:800px; width:1000px;\"></div>\n",
              "            <script type=\"text/javascript\">\n",
              "                \n",
              "                    window.PLOTLYENV=window.PLOTLYENV || {};\n",
              "                    \n",
              "                if (document.getElementById(\"8bb38e65-4a2b-481d-95be-6b0f80398add\")) {\n",
              "                    Plotly.newPlot(\n",
              "                        '8bb38e65-4a2b-481d-95be-6b0f80398add',\n",
              "                        [{\"customdata\": [[\"Adidas\"], [\"Adidas\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [9.2, 9.0]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [8.8, 8.7]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [375000, 183750]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [6.4, 6.5]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [8.9, 9.1]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"C500 OFF+\", \"Challenge Speed\"], \"legendgroup\": \"Brand=Adidas\", \"marker\": {\"color\": \"#636efa\", \"size\": [14, 19], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Adidas\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Andro\"], [\"Andro\"], [\"Andro\"], [\"Andro\"], [\"Andro\"], [\"Andro\"], [\"Andro\"], [\"Andro\"], [\"Andro\"], [\"Andro\"], [\"Andro\"], [\"Andro\"], [\"Andro\"], [\"Andro\"], [\"Andro\"], [\"Andro\"], [\"Andro\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [9.1, 7.5, 8.5, 9.2, 9.5, 9.1, 9.4, 7.9, 9.0, 9.5, 8.5, 9.5, 8.9, 9.0, 9.2, 9.3, 8.8]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [9.1, 9.1, 8.8, 9.5, 9.4, 9.0, 8.8, 9.5, 9.2, 9.2, 9.3, 9.6, 9.2, 9.5, 9.5, 9.4, 9.6]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [225000, 225000, 206250, 562500, 562500, 243750, 243750, 191250, 262500, 232500, 168750, 318750, 330000, 300000, 337500, 468750, 562500]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [5.4, 5.1, 5.7, 6.5, 5.7, 5.1, 6.3, 6.3, 7.1, 7.3, 4.9, 6.5, 5.3, 4.8, 5.4, 5.9, 5.4]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [9.0, 9.0, 8.8, 9.4, 9.5, 9.2, 9.3, 9.3, 9.3, 9.5, 9.1, 9.6, 9.3, 9.5, 9.4, 9.5, 9.4]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"CSV OFF+\", \"Fibercomp DEF\", \"Kinetic Supreme OFF-\", \"Ligna OFF\", \"Ligna OFF+\", \"Super Core Cell OFF\", \"Super Core Cell OFF+\", \"Temper Tech ALL+\", \"Temper Tech OFF\", \"Temper Tech OFF+\", \"Temper Tech OFF-\", \"Treiber CO OFF\", \"Treiber H\", \"Treiber K\", \"Treiber Q\", \"Treiber Z\", \"Wanokiwami AO OFF\"], \"legendgroup\": \"Brand=Andro\", \"marker\": {\"color\": \"#EF553B\", \"size\": [28, 17, 14, 16, 10, 18, 14, 42, 14, 30, 31, 14, 15, 34, 21, 57, 21], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Andro\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Avalox\"], [\"Avalox\"], [\"Avalox\"], [\"Avalox\"], [\"Avalox\"], [\"Avalox\"], [\"Avalox\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [7.6, 9.0, 9.4, 9.2, 8.9, 8.3, 8.9]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [8.7, 8.5, 8.9, 8.8, 9.0, 9.1, 8.9]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [243750, 371250, 468750, 337500, 345000, 243750, 288750]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [3.9, 6.0, 8.3, 6.9, 5.2, 4.6, 5.7]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [8.7, 9.1, 9.0, 9.1, 9.3, 9.4, 9.5]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Blue Thunder 550 (BT550)\", \"Blue Thunder 777 (BT777)\", \"J-Aramid\", \"J-Power\", \"Ma Wenge C555 Carbon\", \"P500\", \"P700\"], \"legendgroup\": \"Brand=Avalox\", \"marker\": {\"color\": \"#00cc96\", \"size\": [16, 14, 11, 11, 10, 26, 29], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Avalox\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"], [\"Butterfly\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [9.6, 7.0, 8.1, 8.3, 9.7, 7.5, 4.3, 9.3, 9.0, 8.8, 8.8, 9.1, 9.4, 9.4, 9.2, 8.2, 8.8, 9.1, 8.5, 9.1, 9.3, 9.0, 9.2, 8.9, 9.5, 9.0, 7.4, 7.3, 9.5, 9.6, 9.1, 8.6, 8.0, 8.5, 8.4, 9.3, 9.1, 9.0, 6.0, 8.0, 8.5, 8.8, 8.6, 9.2, 7.8, 8.3, 9.3, 9.4, 9.0, 8.4, 7.7, 9.3, 8.3, 9.5, 9.5, 7.6, 9.0, 9.1, 8.9, 7.8, 8.5, 7.9, 7.6, 8.5, 9.6, 8.5, 8.9, 9.4, 8.8, 9.0, 8.8, 8.0, 8.6, 9.2, 9.4]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [8.7, 8.9, 9.1, 8.4, 7.1, 9.2, 9.2, 6.9, 9.5, 9.5, 8.7, 8.9, 8.1, 8.4, 8.0, 8.6, 9.1, 9.5, 9.3, 9.2, 8.2, 8.9, 8.9, 9.0, 8.5, 8.2, 8.6, 8.8, 8.8, 8.9, 9.0, 8.9, 8.0, 8.7, 8.7, 7.5, 9.5, 9.2, 8.7, 8.9, 8.4, 7.7, 8.6, 6.6, 8.9, 8.6, 8.4, 8.4, 8.4, 8.4, 8.8, 7.4, 9.2, 7.1, 7.3, 8.1, 8.6, 9.0, 8.6, 9.1, 8.2, 8.6, 8.1, 8.5, 8.0, 9.0, 8.7, 9.1, 9.3, 8.7, 8.3, 8.4, 9.1, 9.0, 9.4]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [862500, 198750, 225000, 318750, 431250, 187500, 206250, 243750, 746250, 896250, 543750, 525000, 937500, 453750, 367500, 562500, 506250, 637500, 562500, 806250, 562500, 468750, 1031250, 637500, 581250, 562500, 637500, 356250, 933750, 1402500, 933750, 356250, 337500, 375000, 300000, 1500000, 971250, 761250, 187500, 243750, 262500, 300000, 937500, 1500000, 243750, 236250, 750000, 596250, 225000, 375000, 187500, 405000, 255000, 506250, 1125000, 266250, 975000, 975000, 562500, 198750, 262500, 243750, 543750, 431250, 525000, 318750, 348750, 851250, 937500, 555000, 562500, 150000, 600000, 618750, 1548750]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [6.8, 3.7, 7.7, 4.6, 8.2, 6.1, 1.6, 6.3, 5.7, 4.5, 5.4, 6.6, 9.6, 6.9, 8.8, 4.5, 5.4, 4.3, 4.1, 5.3, 6.9, 5.8, 4.8, 3.8, 5.7, 6.7, 3.6, 6.1, 6.0, 6.7, 5.8, 5.4, 5.9, 5.4, 6.3, 7.6, 3.5, 5.0, 2.9, 5.7, 5.1, 6.7, 5.2, 8.3, 4.9, 5.0, 5.5, 4.4, 5.2, 6.5, 4.5, 7.2, 4.8, 8.4, 8.5, 5.1, 6.2, 5.2, 5.7, 3.7, 5.2, 5.3, 3.5, 5.5, 7.2, 5.3, 7.1, 5.4, 5.1, 5.0, 6.2, 4.6, 4.8, 5.7, 6.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [9.5, 8.7, 9.1, 8.8, 9.1, 9.3, 8.3, 7.8, 9.6, 9.4, 8.9, 9.2, 9.1, 9.0, 9.0, 9.0, 9.4, 9.6, 9.1, 9.4, 8.8, 9.2, 9.4, 9.3, 9.4, 8.8, 8.3, 9.1, 9.4, 9.4, 9.4, 9.0, 8.0, 9.1, 9.1, 9.2, 9.6, 9.3, 8.5, 8.8, 8.9, 8.6, 9.3, 8.8, 9.0, 8.9, 9.5, 9.2, 8.8, 8.6, 8.7, 8.9, 9.2, 8.8, 9.0, 8.4, 9.2, 9.4, 9.3, 8.7, 8.5, 8.8, 8.5, 9.3, 9.1, 9.3, 8.6, 9.3, 9.4, 9.4, 9.5, 8.0, 9.4, 9.5, 9.5]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Amultart ZL Carbon\", \"Andrzej Grubba\", \"Andrzej Grubba Carbon\", \"Balsa Carbo X5\", \"Boll TriCarbon\", \"Defence 2 (II)\", \"Defence Alpha\", \"Firehand\", \"FREITAS ALC\", \"Fukuhara Ai Pro ZLF\", \"Garaydia ALC\", \"Garaydia ZLC\", \"Gergely 21\", \"Gergely Alpha\", \"Gergely Carbon\", \"Innerforce AL\", \"Innerforce ALC\", \"Innerforce Layer ALC\", \"Innerforce Layer ALC.S\", \"Innerforce Layer ZLC\", \"Innerforce T5000\", \"Innerforce ULC\", \"Innerforce ZLC\", \"Innerforce ZLF\", \"Iolite Neo\", \"Ishlion\", \"Jonyer Hinoki\", \"Joo Se Hyuk\", \"Jun Mizutani\", \"Jun Mizutani Super ZLC\", \"Jun Mizutani ZLC\", \"Keyshot Light\", \"Kong Linghui Euro\", \"Kong Linghui Special\", \"Korbel SK7\", \"Kreanga Carbon\", \"Liu Shiwen\", \"Marcos Freitas ALC\", \"Matsushita Pro\", \"Maze Passion\", \"Maze Performance\", \"Mazunov\", \"Michael Maze\", \"Moonbeam\", \"Oh Sang Eun\", \"Petr Korbel\", \"Photino\", \"Photino Light\", \"Power 7\", \"Primo Vitesse\", \"Primorac\", \"Primorac Carbon\", \"Primorac EX\", \"Sardius\", \"Schlager Carbon\", \"Schlager Precision\", \"Taksim\", \"Tiago Apolonia ZLC\", \"Timo Boll ALC\", \"Timo Boll ALL+\", \"Timo Boll Forte\", \"Timo Boll OFF-\", \"Timo Boll Spark\", \"Timo Boll Spirit\", \"Timo Boll T5000 Tamca\", \"Timo Boll W5\", \"Timo Boll W7\", \"Timo Boll ZLC\", \"Timo Boll ZLF\", \"Viscaria\", \"Viscaria Light\", \"Wakaba-An\", \"Zhang Jike\", \"Zhang Jike ALC\", \"Zhang Jike Super ZLC\"], \"legendgroup\": \"Brand=Butterfly\", \"marker\": {\"color\": \"#ab63fa\", \"size\": [47, 22, 10, 54, 38, 15, 11, 11, 19, 13, 11, 16, 11, 17, 30, 20, 33, 32, 10, 10, 26, 11, 60, 27, 15, 16, 22, 31, 39, 24, 10, 19, 16, 12, 25, 24, 43, 11, 10, 13, 15, 14, 53, 15, 20, 79, 28, 15, 13, 12, 77, 56, 16, 54, 48, 15, 12, 11, 115, 25, 21, 19, 13, 106, 24, 25, 14, 41, 43, 109, 17, 10, 30, 22, 37], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Butterfly\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Cornilleau\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [9.1]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [8.7]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [221250]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [4.4]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [9.3]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Aero OFF+ Soft Carbon\"], \"legendgroup\": \"Brand=Cornilleau\", \"marker\": {\"color\": \"#FFA15A\", \"size\": [14], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Cornilleau\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Darker\"], [\"Darker\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [9.4, 9.5]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [9.3, 9.4]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [453750, 1125000]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [5.4, 4.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [9.2, 9.5]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Esteem\", \"Speed 90\"], \"legendgroup\": \"Brand=Darker\", \"marker\": {\"color\": \"#19d3f3\", \"size\": [10, 26], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Darker\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"], [\"Donic\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [6.8, 6.7, 7.4, 8.3, 8.7, 7.9, 8.7, 8.3, 8.1, 6.0, 5.5, 9.1, 7.7, 8.6, 8.3, 9.4, 9.2, 9.6, 8.9, 9.1, 9.0, 8.4, 7.9, 7.5, 9.4, 9.2, 8.6, 8.3, 7.3, 9.4, 8.1, 7.8, 9.1, 9.1, 9.1, 8.3, 7.7, 8.4]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [8.8, 8.9, 8.4, 9.7, 9.1, 8.8, 8.0, 8.4, 8.3, 9.3, 9.5, 9.0, 9.2, 8.1, 8.8, 7.2, 8.8, 8.2, 8.0, 8.6, 6.5, 8.7, 8.4, 8.3, 8.7, 7.6, 8.4, 8.1, 9.1, 8.1, 8.7, 9.0, 9.3, 8.9, 8.8, 8.8, 9.0, 8.5]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [105000, 165000, 161250, 420000, 195000, 187500, 318750, 187500, 108750, 187500, 187500, 251250, 213750, 213750, 157500, 210000, 296250, 236250, 255000, 371250, 198750, 296250, 120000, 161250, 206250, 206250, 180000, 112500, 112500, 213750, 217500, 180000, 337500, 217500, 487500, 187500, 150000, 228750]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [4.0, 2.5, 5.0, 5.1, 4.9, 6.3, 6.3, 5.4, 6.6, 3.5, 3.5, 6.6, 6.3, 5.5, 6.7, 7.1, 6.2, 7.7, 6.8, 6.3, 7.8, 5.2, 5.5, 5.2, 7.5, 6.1, 5.5, 6.3, 4.3, 7.4, 4.8, 4.2, 6.5, 6.5, 6.7, 5.4, 4.1, 5.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [8.9, 8.9, 8.2, 9.0, 9.3, 8.7, 8.9, 8.8, 8.6, 9.3, 9.4, 9.2, 8.7, 8.7, 8.7, 8.7, 9.2, 9.2, 8.9, 8.6, 8.4, 8.7, 8.5, 8.8, 9.2, 9.0, 8.9, 8.5, 8.3, 9.1, 9.0, 9.0, 9.4, 9.3, 9.5, 9.2, 8.9, 8.8]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Appelgren Allplay\", \"Appelgren Allplay Senso V1\", \"Appelgren Dotec Control\", \"Appelgren World Champion 89\", \"Baum Esprit\", \"Burn ALL+\", \"Burn Aratox RS\", \"Burn OFF-\", \"Cayman\", \"Defplay Classic Senso\", \"Defplay Senso\", \"Epox Carbotec\", \"Epox Control\", \"Epox Offensiv\", \"Epox PowerAllround\", \"Epox TopSpeed\", \"Li Ping Kitex\", \"Ovtcharov Carbospeed\", \"Ovtcharov Senso V1\", \"Ovtcharov True Carbon\", \"Persson Carbotec\", \"Persson Dotec OFF\", \"Persson Exclusive OFF\", \"Persson Power Allround\", \"Persson Power Carbon\", \"Persson Power Carbon Senso V1\", \"Persson Powerplay\", \"Persson Powerplay Senso V1\", \"Waldner Allplay\", \"Waldner Black Devil Carbon Balsa\", \"Waldner Diablo Senso\", \"Waldner Dicon\", \"Waldner Dotec Carbon\", \"Waldner Legend Carbon\", \"Waldner OFF World Champion 89\", \"Waldner Senso Carbon\", \"Waldner Senso V1\", \"Waldner Ultra Senso Carbon\"], \"legendgroup\": \"Brand=Donic\", \"marker\": {\"color\": \"#FF6692\", \"size\": [38, 11, 12, 10, 12, 18, 10, 22, 13, 16, 21, 12, 17, 19, 15, 21, 11, 33, 13, 13, 11, 11, 12, 10, 11, 11, 26, 15, 13, 43, 12, 10, 16, 17, 18, 73, 10, 39], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Donic\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"DHS\"], [\"DHS\"], [\"DHS\"], [\"DHS\"], [\"DHS\"], [\"DHS\"], [\"DHS\"], [\"DHS\"], [\"DHS\"], [\"DHS\"], [\"DHS\"], [\"DHS\"], [\"DHS\"], [\"DHS\"], [\"DHS\"], [\"DHS\"], [\"DHS\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [9.2, 9.4, 9.2, 9.5, 9.5, 8.1, 8.7, 9.0, 8.6, 8.4, 9.3, 9.2, 9.4, 9.7, 8.9, 9.2, 9.4]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [9.2, 9.0, 9.5, 9.2, 8.5, 8.9, 9.3, 9.4, 8.8, 8.6, 9.1, 9.5, 9.4, 9.3, 8.9, 8.7, 7.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [423750, 270000, 258750, 262500, 187500, 333750, 521250, 630000, 528750, 502500, 746250, 750000, 750000, 712500, 105000, 112500, 150000]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [7.0, 5.4, 4.1, 5.0, 7.1, 4.2, 6.2, 7.4, 5.8, 5.3, 6.8, 7.2, 5.3, 5.5, 5.9, 6.3, 9.0]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [9.4, 9.2, 9.6, 9.4, 9.3, 8.6, 9.3, 9.5, 9.1, 9.1, 9.5, 9.1, 9.6, 9.6, 9.2, 8.9, 8.6]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"506 Ma Long\", \"Fang Bo Carbon\", \"Hurricane 301\", \"Hurricane Bo 2 (Hurricane B2)\", \"Hurricane H-WL\", \"Hurricane Hao\", \"Hurricane Hao 656\", \"Hurricane Hao III\", \"Hurricane King\", \"Hurricane King 655\", \"Hurricane King III\", \"Hurricane Long 2\", \"Hurricane Long 3\", \"Hurricane Long 5\", \"Power-G PG7\", \"Power-G PG9\", \"Wind CW-C\"], \"legendgroup\": \"Brand=DHS\", \"marker\": {\"color\": \"#B6E880\", \"size\": [13, 21, 59, 13, 24, 14, 16, 15, 27, 10, 17, 10, 34, 62, 132, 12, 22], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=DHS\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Dr._Neubauer\"], [\"Dr._Neubauer\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [5.5, 8.4]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [9.4, 9.0]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [187500, 243750]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [2.7, 5.9]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [8.7, 8.9]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Barricade DEF\", \"Firewall Plus\"], \"legendgroup\": \"Brand=Dr._Neubauer\", \"marker\": {\"color\": \"#FF97FF\", \"size\": [14, 17], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Dr._Neubauer\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Friendship/729\"], [\"Friendship/729\"], [\"Friendship/729\"], [\"Friendship/729\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [8.5, 8.0, 9.1, 8.2]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [8.5, 8.7, 8.4, 8.8]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [67500, 112500, 116250, 101250]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [5.1, 4.6, 5.9, 5.0]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [8.6, 8.6, 8.5, 9.2]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Bomb\", \"C-3\", \"Dynasty Hinoki Carbon\", \"V-6\"], \"legendgroup\": \"Brand=Friendship/729\", \"marker\": {\"color\": \"#FECB52\", \"size\": [43, 12, 10, 19], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Friendship/729\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [7.6, 7.0, 9.3, 8.4, 4.3, 8.2, 9.3, 7.9, 8.2, 8.8, 9.0, 8.0, 9.1, 8.2, 9.0, 9.3, 9.1, 9.5, 9.3, 9.3, 9.6, 9.6, 8.3, 9.3, 9.5, 9.1, 9.2, 8.9, 9.0, 9.2, 8.0, 9.1, 8.7, 8.8]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [8.6, 9.4, 8.8, 8.8, 9.2, 9.0, 8.9, 9.0, 9.3, 9.2, 9.2, 8.5, 9.1, 9.5, 9.5, 8.4, 7.7, 8.9, 8.9, 8.2, 8.3, 8.8, 8.8, 8.6, 9.2, 9.2, 9.2, 9.4, 9.0, 9.2, 8.8, 9.2, 7.7, 9.0]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [45000, 105000, 75000, 183750, 75000, 67500, 112500, 138750, 168750, 168750, 82500, 48750, 56250, 56250, 56250, 206250, 150000, 93750, 131250, 112500, 131250, 217500, 150000, 105000, 225000, 150000, 165000, 150000, 172500, 225000, 150000, 56250, 78750, 116250]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [2.5, 5.1, 6.1, 5.2, 0.8, 3.4, 6.9, 5.6, 3.9, 5.7, 4.7, 4.4, 6.5, 4.1, 5.7, 8.5, 8.2, 7.0, 7.2, 8.4, 8.2, 7.2, 6.3, 6.5, 5.9, 6.1, 4.8, 4.7, 5.4, 5.9, 4.1, 6.7, 6.0, 6.4]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [8.3, 9.3, 9.1, 9.2, 9.2, 9.0, 9.3, 8.6, 9.4, 9.5, 9.2, 8.5, 9.2, 9.4, 9.4, 9.0, 9.3, 9.4, 9.1, 8.7, 9.4, 9.3, 9.1, 9.3, 9.5, 9.3, 9.2, 9.5, 9.1, 9.5, 8.9, 9.3, 9.3, 9.2]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"896\", \"980\", \"988\", \"Carbokev K-4\", \"Def 5\", \"Earth E-3\", \"EC-14\", \"J-1\", \"MC-2\", \"Mercury Y-13\", \"Mercury Y-15\", \"N-11\", \"N-9\", \"N11 S\", \"N9S\", \"T-1\", \"T-10\", \"T-11\", \"T-11+\", \"T-2\", \"T-4\", \"T-4s\", \"T-7\", \"T-8\", \"T-8S\", \"T7s\", \"Venus V-12\", \"Venus V-13\", \"Venus V-14\", \"Venus V-14 PRO\", \"W-6\", \"Y-2\", \"Y-3\", \"Y-4\"], \"legendgroup\": \"Brand=Yinhe\", \"marker\": {\"color\": \"#636efa\", \"size\": [13, 15, 10, 10, 12, 11, 13, 18, 26, 14, 15, 11, 61, 13, 21, 11, 10, 54, 71, 17, 20, 16, 15, 32, 19, 10, 11, 12, 31, 21, 30, 12, 11, 14], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Yinhe\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Gambler\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [7.6]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [8.7]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [120000]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [4.2]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [8.3]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Arylate Carbon\"], \"legendgroup\": \"Brand=Gambler\", \"marker\": {\"color\": \"#EF553B\", \"size\": [13], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Gambler\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Huaruite\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [8.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [9.2]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [45000]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [5.4]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [9.0]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Clipper\"], \"legendgroup\": \"Brand=Huaruite\", \"marker\": {\"color\": \"#00cc96\", \"size\": [22], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Huaruite\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"JOOLA\"], [\"JOOLA\"], [\"JOOLA\"], [\"JOOLA\"], [\"JOOLA\"], [\"JOOLA\"], [\"JOOLA\"], [\"JOOLA\"], [\"JOOLA\"], [\"JOOLA\"], [\"JOOLA\"], [\"JOOLA\"], [\"JOOLA\"], [\"JOOLA\"], [\"JOOLA\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [9.0, 9.7, 7.8, 8.3, 8.8, 9.6, 8.7, 9.6, 9.7, 9.3, 8.7, 8.8, 8.4, 9.6, 8.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [9.5, 8.1, 8.7, 8.8, 9.2, 8.3, 9.2, 7.7, 9.0, 8.8, 9.1, 9.3, 8.8, 8.3, 7.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [525000, 412500, 281250, 262500, 525000, 337500, 300000, 480000, 371250, 371250, 375000, 281250, 243750, 412500, 371250]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [4.9, 6.9, 5.6, 5.5, 5.6, 6.5, 4.8, 8.8, 6.0, 6.2, 5.6, 5.3, 5.9, 8.1, 5.8]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [9.5, 8.9, 8.8, 8.5, 9.5, 9.3, 9.2, 9.3, 9.4, 9.3, 9.3, 9.3, 9.2, 9.3, 8.4]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Aruna OFF\", \"Bomb Extrem MCD\", \"Chen Weixing\", \"Eagle Fast\", \"Fever\", \"Flame Extreme\", \"Flame Fast\", \"Kool\", \"MC1\", \"Rossi Force\", \"Rosskopf Emotion\", \"TPE Nature\", \"Viva\", \"Wing Passion Extreme\", \"Wing Passion Fast\"], \"legendgroup\": \"Brand=JOOLA\", \"marker\": {\"color\": \"#ab63fa\", \"size\": [14, 18, 18, 13, 20, 19, 12, 29, 28, 14, 38, 11, 17, 15, 10], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=JOOLA\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"LKT\"], [\"LKT\"], [\"LKT\"], [\"LKT\"], [\"LKT\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [7.7, 6.6, 7.9, 4.7, 9.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [8.5, 8.8, 8.4, 9.2, 8.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [82500, 60000, 60000, 90000, 120000]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [3.6, 4.2, 5.7, 1.3, 8.5]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [8.5, 7.7, 8.4, 8.1, 9.1]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Ayous Hinoki\", \"Instinct\", \"Instinct+\", \"Toxic 3\", \"Will Power\"], \"legendgroup\": \"Brand=LKT\", \"marker\": {\"color\": \"#FFA15A\", \"size\": [10, 28, 13, 12, 10], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=LKT\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Nexy\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [8.8]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [9.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [562500]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [5.0]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [9.2]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Calix\"], \"legendgroup\": \"Brand=Nexy\", \"marker\": {\"color\": \"#19d3f3\", \"size\": [14], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Nexy\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"], [\"Nittaku\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [8.5, 9.0, 9.3, 8.8, 8.7, 8.5, 9.2, 9.1, 9.1, 8.1, 8.6, 9.1, 8.8, 8.4, 8.8, 9.1, 8.4, 8.7, 6.5, 9.1, 7.2, 8.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [9.2, 9.2, 9.0, 9.6, 9.4, 9.3, 8.9, 9.4, 7.6, 8.9, 9.2, 8.3, 8.7, 9.1, 8.5, 9.6, 8.4, 9.5, 9.0, 9.0, 8.7, 9.0]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [618750, 615000, 671250, 641250, 551250, 326250, 618750, 843750, 318750, 277500, 375000, 746250, 187500, 187500, 412500, 525000, 187500, 225000, 412500, 663750, 172500, 618750]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [4.8, 5.2, 6.1, 5.2, 4.5, 5.4, 4.4, 6.2, 8.3, 4.7, 5.0, 6.3, 6.8, 4.8, 5.4, 5.2, 4.7, 3.6, 6.3, 6.8, 4.0, 3.1]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [9.6, 9.5, 9.3, 9.5, 9.5, 9.5, 9.6, 9.5, 9.0, 9.2, 9.5, 8.9, 9.5, 9.3, 9.0, 9.6, 9.2, 9.6, 8.6, 9.5, 8.8, 9.4]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Acoustic\", \"Acoustic  Large Handle\", \"Acoustic Carbon\", \"Acoustic Carbon Inner Large Handle\", \"Adelie\", \"Alulass\", \"Barwell\", \"Barwell Fleet\", \"KCZ\", \"Latika\", \"Ludeack\", \"Ludeack Fleet\", \"Narcus\", \"Redshank\", \"Rutis\", \"S-Series S-CZ\", \"Septear\", \"Septear Lead\", \"Shake Defence\", \"Tenor\", \"Torua\", \"Violin\"], \"legendgroup\": \"Brand=Nittaku\", \"marker\": {\"color\": \"#FF6692\", \"size\": [62, 12, 14, 11, 20, 12, 13, 55, 10, 19, 22, 12, 11, 10, 10, 12, 17, 15, 11, 21, 10, 38], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Nittaku\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"OSP\"], [\"OSP\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [7.6, 8.1]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [9.3, 9.2]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [420000, 420000]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [3.4, 3.8]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [9.4, 9.3]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Expert ALL+\", \"Virtuoso OFF-\"], \"legendgroup\": \"Brand=OSP\", \"marker\": {\"color\": \"#B6E880\", \"size\": [13, 38], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=OSP\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Palio\"], [\"Palio\"], [\"Palio\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [8.0, 8.8, 8.9]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [8.6, 9.2, 8.0]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [82500, 56250, 183750]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [4.8, 5.8, 8.8]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [8.7, 9.1, 8.9]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"CAT\", \"ENERGY 03\", \"TCT\"], \"legendgroup\": \"Brand=Palio\", \"marker\": {\"color\": \"#FF97FF\", \"size\": [10, 19, 15], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Palio\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Sanwei\"], [\"Sanwei\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [9.2, 8.4]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [9.0, 9.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [187500, 112500]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [5.8, 4.7]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [9.0, 9.4]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"F3 Pro\", \"FEXTRA 7\"], \"legendgroup\": \"Brand=Sanwei\", \"marker\": {\"color\": \"#FECB52\", \"size\": [19, 21], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Sanwei\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"], [\"Stiga\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [6.7, 7.5, 6.7, 7.6, 7.5, 9.3, 9.4, 9.3, 9.7, 9.3, 9.7, 8.5, 9.5, 8.9, 8.8, 5.6, 9.1, 9.4, 9.4, 7.6, 9.5, 8.6, 8.8, 9.3, 9.1, 7.6, 8.5, 8.1, 8.1, 9.2, 8.9, 9.1, 9.2, 9.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [8.9, 8.9, 9.0, 8.5, 9.2, 8.5, 8.7, 9.3, 8.7, 9.2, 8.2, 8.4, 8.8, 8.4, 8.5, 9.4, 9.0, 8.5, 9.2, 8.3, 9.0, 8.9, 8.7, 9.0, 9.1, 8.4, 8.7, 8.3, 9.0, 7.1, 8.8, 8.7, 8.6, 8.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [142500, 176250, 161250, 131250, 195000, 311250, 656250, 618750, 753750, 750000, 521250, 262500, 427500, 288750, 243750, 206250, 513750, 506250, 487500, 146250, 405000, 281250, 408750, 450000, 487500, 172500, 180000, 225000, 206250, 412500, 431250, 525000, 487500, 198750]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [3.3, 4.8, 3.2, 4.5, 4.8, 7.6, 6.8, 7.1, 7.5, 7.5, 9.7, 5.9, 5.3, 6.3, 6.1, 4.1, 6.3, 8.8, 6.7, 3.5, 7.6, 5.3, 6.1, 7.0, 4.7, 3.6, 5.1, 4.9, 4.8, 7.1, 5.8, 6.0, 5.3, 6.7]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [8.6, 9.0, 8.8, 8.2, 9.1, 9.3, 9.1, 9.4, 9.2, 9.4, 9.3, 9.2, 9.6, 9.0, 9.0, 9.5, 9.2, 9.3, 9.4, 8.7, 9.6, 9.2, 9.2, 9.3, 9.5, 8.6, 8.8, 8.9, 9.0, 8.4, 9.3, 9.4, 9.1, 9.2]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Allround Classic\", \"Allround Classic Carbon\", \"Allround Classic WRB\", \"Allround Evolution\", \"Allround NCT\", \"Carbo 7.6 WRB\", \"Carbonado 145\", \"Carbonado 190\", \"Carbonado 245\", \"Carbonado 290\", \"CC7\", \"Clipper\", \"Clipper CC\", \"Clipper CR (WRB)\", \"Clipper WRB\", \"Defensive NCT\", \"Ebenholz NCT V (5)\", \"Ebenholz NCT VII (7)\", \"Emerald VPS V\", \"Energy WRB\", \"Hybrid Wood NCT\", \"Infinity VPS V Diamond Touch\", \"Intensity NCT\", \"Intensity NCT Carbon\", \"Maplewood NCT V\", \"Offensive Classic (OC)\", \"Offensive Classic Carbon\", \"Offensive Classic WRB\", \"Offensive Wood NCT\", \"Optimum Carbo\", \"Rosewood NCT V\", \"Rosewood NCT VII\", \"Rosewood XO\", \"Tube Carbo WRB\"], \"legendgroup\": \"Brand=Stiga\", \"marker\": {\"color\": \"#636efa\", \"size\": [46, 12, 21, 13, 30, 19, 16, 23, 11, 12, 10, 45, 16, 27, 15, 13, 33, 26, 10, 14, 64, 65, 19, 15, 16, 38, 18, 21, 21, 15, 47, 35, 21, 22], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Stiga\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Tibhar\"], [\"Tibhar\"], [\"Tibhar\"], [\"Tibhar\"], [\"Tibhar\"], [\"Tibhar\"], [\"Tibhar\"], [\"Tibhar\"], [\"Tibhar\"], [\"Tibhar\"], [\"Tibhar\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [9.1, 8.4, 9.5, 8.8, 7.8, 9.0, 9.0, 9.3, 8.0, 8.9, 9.0]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [9.2, 9.0, 8.4, 9.1, 8.5, 8.0, 8.8, 9.3, 8.7, 9.3, 8.9]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [637500, 183750, 300000, 236250, 142500, 187500, 225000, 180000, 206250, 146250, 255000]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [6.5, 4.0, 7.7, 6.2, 5.3, 7.6, 5.7, 4.2, 4.8, 5.0, 4.7]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [9.5, 9.2, 9.0, 9.4, 8.7, 8.5, 9.4, 9.5, 9.1, 9.5, 9.4]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"CCA Unlimited\", \"Lebesson\", \"Phantom X\", \"Red Cypress\", \"Samsonov Alpha\", \"Samsonov Carbon\", \"Samsonov Force Pro\", \"Samsonov Force Pro Black Edition\", \"Samsonov Premium Contact\", \"Stratus Power Wood\", \"Stratus Samsonov Carbon\"], \"legendgroup\": \"Brand=Tibhar\", \"marker\": {\"color\": \"#EF553B\", \"size\": [16, 12, 11, 13, 24, 13, 13, 33, 13, 92, 20], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Tibhar\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"TSP\"], [\"TSP\"], [\"TSP\"], [\"TSP\"], [\"TSP\"], [\"TSP\"], [\"TSP\"], [\"TSP\"], [\"TSP\"], [\"TSP\"], [\"TSP\"], [\"TSP\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [9.1, 8.4, 5.0, 5.2, 7.5, 8.6, 9.3, 7.0, 9.2, 8.4, 9.1, 8.6]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [8.8, 9.0, 9.5, 9.5, 9.5, 9.1, 9.5, 9.5, 9.4, 9.4, 8.4, 9.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [337500, 168750, 225000, 243750, 243750, 243750, 206250, 243750, 157500, 168750, 375000, 120000]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [5.4, 3.2, 1.6, 3.5, 5.5, 5.7, 5.8, 4.0, 6.3, 4.0, 6.1, 5.0]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [9.3, 9.0, 9.3, 9.5, 9.4, 9.2, 9.5, 9.4, 9.5, 9.5, 9.0, 9.5]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Altero\", \"Award Offensive\", \"Balsa 2.5 Defence\", \"Balsa 3.5 DEF+\", \"Balsa 4.5 ALL\", \"Balsa 5.5 ALL+\", \"Balsa 6.5 OFF\", \"Black Balsa 5.0\", \"Black Balsa 7.0\", \"Euro Feeling\", \"Hino-Carbon Power\", \"Reflex 50 Award OFF\"], \"legendgroup\": \"Brand=TSP\", \"marker\": {\"color\": \"#00cc96\", \"size\": [10, 13, 11, 10, 10, 14, 12, 10, 18, 11, 15, 15], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=TSP\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Victas\"], [\"Victas\"], [\"Victas\"], [\"Victas\"], [\"Victas\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [9.4, 8.5, 9.5, 6.2, 5.0]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [9.2, 9.4, 9.4, 9.6, 9.7]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [378750, 378750, 525000, 356250, 401250]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [6.1, 5.0, 7.2, 2.6, 2.9]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [9.5, 9.5, 9.4, 9.5, 9.6]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Fire Fall AC\", \"Fire Fall FC\", \"Fire Fall VC\", \"Koji Matsushita\", \"Koji Matsushita Defensive\"], \"legendgroup\": \"Brand=Victas\", \"marker\": {\"color\": \"#ab63fa\", \"size\": [10, 21, 12, 14, 10], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Victas\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Xi_Enting\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [9.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [8.9]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [112500]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [7.3]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [8.9]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Shark 686\"], \"legendgroup\": \"Brand=Xi_Enting\", \"marker\": {\"color\": \"#FFA15A\", \"size\": [15], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Xi_Enting\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Xiom\"], [\"Xiom\"], [\"Xiom\"], [\"Xiom\"], [\"Xiom\"], [\"Xiom\"], [\"Xiom\"], [\"Xiom\"], [\"Xiom\"], [\"Xiom\"], [\"Xiom\"], [\"Xiom\"], [\"Xiom\"], [\"Xiom\"], [\"Xiom\"], [\"Xiom\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [6.7, 8.7, 9.4, 8.4, 9.2, 8.3, 9.6, 9.1, 8.4, 8.9, 9.5, 9.1, 8.6, 8.7, 9.5, 9.0]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [9.6, 8.5, 8.3, 9.4, 9.0, 8.0, 8.7, 9.1, 9.2, 8.6, 8.8, 8.6, 9.3, 9.2, 9.6, 8.9]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [243750, 243750, 356250, 142500, 187500, 232500, 675000, 318750, 138750, 506250, 273750, 393750, 525000, 675000, 675000, 356250]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [1.6, 5.4, 7.1, 4.7, 6.8, 4.2, 7.0, 5.8, 4.6, 6.5, 7.0, 7.0, 6.1, 6.0, 6.7, 5.9]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [9.0, 8.9, 9.2, 9.3, 9.3, 8.8, 9.3, 9.4, 9.5, 9.0, 9.5, 9.3, 9.5, 9.3, 9.5, 9.4]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Aigis\", \"Aria\", \"Axelo\", \"Diva\", \"Extreme S\", \"Fuga\", \"Hayabusa ZXi\", \"Ignito\", \"Offensive S\", \"Stradivarius\", \"Strato\", \"V1 Quad\", \"Vega Euro\", \"Vega Pro\", \"Vega Tour\", \"Zetro Quad\"], \"legendgroup\": \"Brand=Xiom\", \"marker\": {\"color\": \"#19d3f3\", \"size\": [15, 13, 20, 22, 20, 22, 30, 14, 36, 50, 30, 13, 18, 21, 28, 71], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Xiom\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"XVT\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [9.2]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [9.2]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [75000]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [6.1]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [9.2]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Black Knight 7\"], \"legendgroup\": \"Brand=XVT\", \"marker\": {\"color\": \"#FF6692\", \"size\": [10], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=XVT\", \"showlegend\": true, \"type\": \"splom\"}, {\"customdata\": [[\"Yasaka\"], [\"Yasaka\"], [\"Yasaka\"], [\"Yasaka\"], [\"Yasaka\"], [\"Yasaka\"], [\"Yasaka\"], [\"Yasaka\"], [\"Yasaka\"], [\"Yasaka\"], [\"Yasaka\"], [\"Yasaka\"], [\"Yasaka\"], [\"Yasaka\"], [\"Yasaka\"]], \"dimensions\": [{\"axis\": {\"matches\": true}, \"label\": \"Speed\", \"values\": [7.5, 9.5, 7.4, 9.2, 8.7, 7.6, 9.4, 8.7, 8.6, 7.8, 9.7, 9.0, 6.8, 8.0, 9.4]}, {\"axis\": {\"matches\": true}, \"label\": \"Control\", \"values\": [7.7, 9.0, 9.0, 9.0, 8.8, 8.9, 9.1, 8.2, 8.6, 8.0, 8.4, 8.8, 9.2, 9.3, 7.4]}, {\"axis\": {\"matches\": true}, \"label\": \"Price\", \"values\": [142500, 273750, 150000, 168750, 153750, 142500, 195000, 225000, 127500, 187500, 232500, 187500, 150000, 131250, 172500]}, {\"axis\": {\"matches\": true}, \"label\": \"Stiffness\", \"values\": [6.0, 8.4, 3.9, 6.5, 5.4, 3.7, 6.0, 5.4, 5.8, 4.8, 8.7, 5.2, 2.8, 3.6, 6.9]}, {\"axis\": {\"matches\": true}, \"label\": \"Overall\", \"values\": [7.8, 9.6, 9.1, 9.5, 8.9, 8.8, 9.5, 8.7, 9.1, 8.3, 9.3, 9.3, 8.7, 9.2, 8.3]}], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Ratings=%{marker.size}<br>%{xaxis.title.text}=%{x}<br>%{yaxis.title.text}=%{y}\", \"hovertext\": [\"Balsa\", \"Dynamix 17\", \"Extra\", \"Extra Offensive 7 Power\", \"Extra Special\", \"Gatien Extra\", \"Goiabao 5\", \"Ma Lin Carbon\", \"Ma Lin Extra Offensive\", \"Ma Lin Soft Carbon\", \"Max Carbon 3D\", \"Silverline Carbon\", \"Sweden Classic\", \"Sweden Extra\", \"X1\"], \"legendgroup\": \"Brand=Yasaka\", \"marker\": {\"color\": \"#B6E880\", \"size\": [10, 51, 24, 16, 24, 41, 33, 19, 73, 18, 16, 11, 24, 26, 10], \"sizemode\": \"area\", \"sizeref\": 0.33, \"symbol\": \"circle\"}, \"name\": \"Brand=Yasaka\", \"showlegend\": true, \"type\": \"splom\"}],\n",
              "                        {\"dragmode\": \"select\", \"height\": 800, \"legend\": {\"itemsizing\": \"constant\", \"tracegroupgap\": 0}, \"margin\": {\"t\": 60}, \"template\": {\"data\": {\"bar\": [{\"error_x\": {\"color\": \"#2a3f5f\"}, \"error_y\": {\"color\": \"#2a3f5f\"}, \"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"bar\"}], \"barpolar\": [{\"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"barpolar\"}], \"carpet\": [{\"aaxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"baxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"type\": \"carpet\"}], \"choropleth\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"choropleth\"}], \"contour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"contour\"}], \"contourcarpet\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"contourcarpet\"}], \"heatmap\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmap\"}], \"heatmapgl\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmapgl\"}], \"histogram\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"histogram\"}], \"histogram2d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2d\"}], \"histogram2dcontour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2dcontour\"}], \"mesh3d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"mesh3d\"}], \"parcoords\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"parcoords\"}], \"pie\": [{\"automargin\": true, \"type\": \"pie\"}], \"scatter\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter\"}], \"scatter3d\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter3d\"}], \"scattercarpet\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattercarpet\"}], \"scattergeo\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergeo\"}], \"scattergl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergl\"}], \"scattermapbox\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattermapbox\"}], \"scatterpolar\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolar\"}], \"scatterpolargl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolargl\"}], \"scatterternary\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterternary\"}], \"surface\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"surface\"}], \"table\": [{\"cells\": {\"fill\": {\"color\": \"#EBF0F8\"}, \"line\": {\"color\": \"white\"}}, \"header\": {\"fill\": {\"color\": \"#C8D4E3\"}, \"line\": {\"color\": \"white\"}}, \"type\": \"table\"}]}, \"layout\": {\"annotationdefaults\": {\"arrowcolor\": \"#2a3f5f\", \"arrowhead\": 0, \"arrowwidth\": 1}, \"coloraxis\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"colorscale\": {\"diverging\": [[0, \"#8e0152\"], [0.1, \"#c51b7d\"], [0.2, \"#de77ae\"], [0.3, \"#f1b6da\"], [0.4, \"#fde0ef\"], [0.5, \"#f7f7f7\"], [0.6, \"#e6f5d0\"], [0.7, \"#b8e186\"], [0.8, \"#7fbc41\"], [0.9, \"#4d9221\"], [1, \"#276419\"]], \"sequential\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"sequentialminus\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]]}, \"colorway\": [\"#636efa\", \"#EF553B\", \"#00cc96\", \"#ab63fa\", \"#FFA15A\", \"#19d3f3\", \"#FF6692\", \"#B6E880\", \"#FF97FF\", \"#FECB52\"], \"font\": {\"color\": \"#2a3f5f\"}, \"geo\": {\"bgcolor\": \"white\", \"lakecolor\": \"white\", \"landcolor\": \"#E5ECF6\", \"showlakes\": true, \"showland\": true, \"subunitcolor\": \"white\"}, \"hoverlabel\": {\"align\": \"left\"}, \"hovermode\": \"closest\", \"mapbox\": {\"style\": \"light\"}, \"paper_bgcolor\": \"white\", \"plot_bgcolor\": \"#E5ECF6\", \"polar\": {\"angularaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"radialaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"scene\": {\"xaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"yaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"zaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}}, \"shapedefaults\": {\"line\": {\"color\": \"#2a3f5f\"}}, \"ternary\": {\"aaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"baxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"caxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}}}, \"width\": 1000},\n",
              "                        {\"responsive\": true}\n",
              "                    ).then(function(){\n",
              "                            \n",
              "var gd = document.getElementById('8bb38e65-4a2b-481d-95be-6b0f80398add');\n",
              "var x = new MutationObserver(function (mutations, observer) {{\n",
              "        var display = window.getComputedStyle(gd).display;\n",
              "        if (!display || display === 'none') {{\n",
              "            console.log([gd, 'removed!']);\n",
              "            Plotly.purge(gd);\n",
              "            observer.disconnect();\n",
              "        }}\n",
              "}});\n",
              "\n",
              "// Listen for the removal of the full notebook cells\n",
              "var notebookContainer = gd.closest('#notebook-container');\n",
              "if (notebookContainer) {{\n",
              "    x.observe(notebookContainer, {childList: true});\n",
              "}}\n",
              "\n",
              "// Listen for the clearing of the current output cell\n",
              "var outputEl = gd.closest('.output');\n",
              "if (outputEl) {{\n",
              "    x.observe(outputEl, {childList: true});\n",
              "}}\n",
              "\n",
              "                        })\n",
              "                };\n",
              "                \n",
              "            </script>\n",
              "        </div>\n",
              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lA0ogITeMjcD"
      },
      "source": [
        "Estas representaciones bi-variadas dan una perspectiva más clara de las características conjuntas de los diferentes maderos y permiten una búsqueda gráfica más eficaz aprovechando la interacción que permiten los diagramas de dispersión de Plotly mostrando de manera emergente las características y el nombre de cada madero sobre el cual el usuario pase su cursor. \n",
        "\n",
        "Finalmente, se construye una representación tridimensional considerando las 3 principales variables de interés (Velocidad, Control y Precio) que permite una exploración aún más eficaz que la anterior, aunque con menos información disponible."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xopbeV4VtDRe",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 817
        },
        "outputId": "fe229f17-fb29-4641-92f8-e3d71ef7bca1"
      },
      "source": [
        "px.scatter_3d(interest_blades_df, x='Speed', y='Control', z='Price', color='Brand', hover_data= ['Name', 'Brand'], size = \"Ratings\", size_max = 132, width=1000, height=800)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<html>\n",
              "<head><meta charset=\"utf-8\" /></head>\n",
              "<body>\n",
              "    <div>\n",
              "            <script src=\"https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-AMS-MML_SVG\"></script><script type=\"text/javascript\">if (window.MathJax) {MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}</script>\n",
              "                <script type=\"text/javascript\">window.PlotlyConfig = {MathJaxConfig: 'local'};</script>\n",
              "        <script src=\"https://cdn.plot.ly/plotly-latest.min.js\"></script>    \n",
              "            <div id=\"e00da352-497b-45dd-84c6-4669c06d2759\" class=\"plotly-graph-div\" style=\"height:800px; width:1000px;\"></div>\n",
              "            <script type=\"text/javascript\">\n",
              "                \n",
              "                    window.PLOTLYENV=window.PLOTLYENV || {};\n",
              "                    \n",
              "                if (document.getElementById(\"e00da352-497b-45dd-84c6-4669c06d2759\")) {\n",
              "                    Plotly.newPlot(\n",
              "                        'e00da352-497b-45dd-84c6-4669c06d2759',\n",
              "                        [{\"customdata\": [[\"C500 OFF+\", \"Adidas\"], [\"Challenge Speed\", \"Adidas\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Adidas\", \"marker\": {\"color\": \"#636efa\", \"size\": [14, 19], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Adidas\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.2, 9.0], \"y\": [8.8, 8.7], \"z\": [375000, 183750]}, {\"customdata\": [[\"CSV OFF+\", \"Andro\"], [\"Fibercomp DEF\", \"Andro\"], [\"Kinetic Supreme OFF-\", \"Andro\"], [\"Ligna OFF\", \"Andro\"], [\"Ligna OFF+\", \"Andro\"], [\"Super Core Cell OFF\", \"Andro\"], [\"Super Core Cell OFF+\", \"Andro\"], [\"Temper Tech ALL+\", \"Andro\"], [\"Temper Tech OFF\", \"Andro\"], [\"Temper Tech OFF+\", \"Andro\"], [\"Temper Tech OFF-\", \"Andro\"], [\"Treiber CO OFF\", \"Andro\"], [\"Treiber H\", \"Andro\"], [\"Treiber K\", \"Andro\"], [\"Treiber Q\", \"Andro\"], [\"Treiber Z\", \"Andro\"], [\"Wanokiwami AO OFF\", \"Andro\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Andro\", \"marker\": {\"color\": \"#EF553B\", \"size\": [28, 17, 14, 16, 10, 18, 14, 42, 14, 30, 31, 14, 15, 34, 21, 57, 21], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Andro\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.1, 7.5, 8.5, 9.2, 9.5, 9.1, 9.4, 7.9, 9.0, 9.5, 8.5, 9.5, 8.9, 9.0, 9.2, 9.3, 8.8], \"y\": [9.1, 9.1, 8.8, 9.5, 9.4, 9.0, 8.8, 9.5, 9.2, 9.2, 9.3, 9.6, 9.2, 9.5, 9.5, 9.4, 9.6], \"z\": [225000, 225000, 206250, 562500, 562500, 243750, 243750, 191250, 262500, 232500, 168750, 318750, 330000, 300000, 337500, 468750, 562500]}, {\"customdata\": [[\"Blue Thunder 550 (BT550)\", \"Avalox\"], [\"Blue Thunder 777 (BT777)\", \"Avalox\"], [\"J-Aramid\", \"Avalox\"], [\"J-Power\", \"Avalox\"], [\"Ma Wenge C555 Carbon\", \"Avalox\"], [\"P500\", \"Avalox\"], [\"P700\", \"Avalox\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Avalox\", \"marker\": {\"color\": \"#00cc96\", \"size\": [16, 14, 11, 11, 10, 26, 29], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Avalox\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [7.6, 9.0, 9.4, 9.2, 8.9, 8.3, 8.9], \"y\": [8.7, 8.5, 8.9, 8.8, 9.0, 9.1, 8.9], \"z\": [243750, 371250, 468750, 337500, 345000, 243750, 288750]}, {\"customdata\": [[\"Amultart ZL Carbon\", \"Butterfly\"], [\"Andrzej Grubba\", \"Butterfly\"], [\"Andrzej Grubba Carbon\", \"Butterfly\"], [\"Balsa Carbo X5\", \"Butterfly\"], [\"Boll TriCarbon\", \"Butterfly\"], [\"Defence 2 (II)\", \"Butterfly\"], [\"Defence Alpha\", \"Butterfly\"], [\"Firehand\", \"Butterfly\"], [\"FREITAS ALC\", \"Butterfly\"], [\"Fukuhara Ai Pro ZLF\", \"Butterfly\"], [\"Garaydia ALC\", \"Butterfly\"], [\"Garaydia ZLC\", \"Butterfly\"], [\"Gergely 21\", \"Butterfly\"], [\"Gergely Alpha\", \"Butterfly\"], [\"Gergely Carbon\", \"Butterfly\"], [\"Innerforce AL\", \"Butterfly\"], [\"Innerforce ALC\", \"Butterfly\"], [\"Innerforce Layer ALC\", \"Butterfly\"], [\"Innerforce Layer ALC.S\", \"Butterfly\"], [\"Innerforce Layer ZLC\", \"Butterfly\"], [\"Innerforce T5000\", \"Butterfly\"], [\"Innerforce ULC\", \"Butterfly\"], [\"Innerforce ZLC\", \"Butterfly\"], [\"Innerforce ZLF\", \"Butterfly\"], [\"Iolite Neo\", \"Butterfly\"], [\"Ishlion\", \"Butterfly\"], [\"Jonyer Hinoki\", \"Butterfly\"], [\"Joo Se Hyuk\", \"Butterfly\"], [\"Jun Mizutani\", \"Butterfly\"], [\"Jun Mizutani Super ZLC\", \"Butterfly\"], [\"Jun Mizutani ZLC\", \"Butterfly\"], [\"Keyshot Light\", \"Butterfly\"], [\"Kong Linghui Euro\", \"Butterfly\"], [\"Kong Linghui Special\", \"Butterfly\"], [\"Korbel SK7\", \"Butterfly\"], [\"Kreanga Carbon\", \"Butterfly\"], [\"Liu Shiwen\", \"Butterfly\"], [\"Marcos Freitas ALC\", \"Butterfly\"], [\"Matsushita Pro\", \"Butterfly\"], [\"Maze Passion\", \"Butterfly\"], [\"Maze Performance\", \"Butterfly\"], [\"Mazunov\", \"Butterfly\"], [\"Michael Maze\", \"Butterfly\"], [\"Moonbeam\", \"Butterfly\"], [\"Oh Sang Eun\", \"Butterfly\"], [\"Petr Korbel\", \"Butterfly\"], [\"Photino\", \"Butterfly\"], [\"Photino Light\", \"Butterfly\"], [\"Power 7\", \"Butterfly\"], [\"Primo Vitesse\", \"Butterfly\"], [\"Primorac\", \"Butterfly\"], [\"Primorac Carbon\", \"Butterfly\"], [\"Primorac EX\", \"Butterfly\"], [\"Sardius\", \"Butterfly\"], [\"Schlager Carbon\", \"Butterfly\"], [\"Schlager Precision\", \"Butterfly\"], [\"Taksim\", \"Butterfly\"], [\"Tiago Apolonia ZLC\", \"Butterfly\"], [\"Timo Boll ALC\", \"Butterfly\"], [\"Timo Boll ALL+\", \"Butterfly\"], [\"Timo Boll Forte\", \"Butterfly\"], [\"Timo Boll OFF-\", \"Butterfly\"], [\"Timo Boll Spark\", \"Butterfly\"], [\"Timo Boll Spirit\", \"Butterfly\"], [\"Timo Boll T5000 Tamca\", \"Butterfly\"], [\"Timo Boll W5\", \"Butterfly\"], [\"Timo Boll W7\", \"Butterfly\"], [\"Timo Boll ZLC\", \"Butterfly\"], [\"Timo Boll ZLF\", \"Butterfly\"], [\"Viscaria\", \"Butterfly\"], [\"Viscaria Light\", \"Butterfly\"], [\"Wakaba-An\", \"Butterfly\"], [\"Zhang Jike\", \"Butterfly\"], [\"Zhang Jike ALC\", \"Butterfly\"], [\"Zhang Jike Super ZLC\", \"Butterfly\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Butterfly\", \"marker\": {\"color\": \"#ab63fa\", \"size\": [47, 22, 10, 54, 38, 15, 11, 11, 19, 13, 11, 16, 11, 17, 30, 20, 33, 32, 10, 10, 26, 11, 60, 27, 15, 16, 22, 31, 39, 24, 10, 19, 16, 12, 25, 24, 43, 11, 10, 13, 15, 14, 53, 15, 20, 79, 28, 15, 13, 12, 77, 56, 16, 54, 48, 15, 12, 11, 115, 25, 21, 19, 13, 106, 24, 25, 14, 41, 43, 109, 17, 10, 30, 22, 37], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Butterfly\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.6, 7.0, 8.1, 8.3, 9.7, 7.5, 4.3, 9.3, 9.0, 8.8, 8.8, 9.1, 9.4, 9.4, 9.2, 8.2, 8.8, 9.1, 8.5, 9.1, 9.3, 9.0, 9.2, 8.9, 9.5, 9.0, 7.4, 7.3, 9.5, 9.6, 9.1, 8.6, 8.0, 8.5, 8.4, 9.3, 9.1, 9.0, 6.0, 8.0, 8.5, 8.8, 8.6, 9.2, 7.8, 8.3, 9.3, 9.4, 9.0, 8.4, 7.7, 9.3, 8.3, 9.5, 9.5, 7.6, 9.0, 9.1, 8.9, 7.8, 8.5, 7.9, 7.6, 8.5, 9.6, 8.5, 8.9, 9.4, 8.8, 9.0, 8.8, 8.0, 8.6, 9.2, 9.4], \"y\": [8.7, 8.9, 9.1, 8.4, 7.1, 9.2, 9.2, 6.9, 9.5, 9.5, 8.7, 8.9, 8.1, 8.4, 8.0, 8.6, 9.1, 9.5, 9.3, 9.2, 8.2, 8.9, 8.9, 9.0, 8.5, 8.2, 8.6, 8.8, 8.8, 8.9, 9.0, 8.9, 8.0, 8.7, 8.7, 7.5, 9.5, 9.2, 8.7, 8.9, 8.4, 7.7, 8.6, 6.6, 8.9, 8.6, 8.4, 8.4, 8.4, 8.4, 8.8, 7.4, 9.2, 7.1, 7.3, 8.1, 8.6, 9.0, 8.6, 9.1, 8.2, 8.6, 8.1, 8.5, 8.0, 9.0, 8.7, 9.1, 9.3, 8.7, 8.3, 8.4, 9.1, 9.0, 9.4], \"z\": [862500, 198750, 225000, 318750, 431250, 187500, 206250, 243750, 746250, 896250, 543750, 525000, 937500, 453750, 367500, 562500, 506250, 637500, 562500, 806250, 562500, 468750, 1031250, 637500, 581250, 562500, 637500, 356250, 933750, 1402500, 933750, 356250, 337500, 375000, 300000, 1500000, 971250, 761250, 187500, 243750, 262500, 300000, 937500, 1500000, 243750, 236250, 750000, 596250, 225000, 375000, 187500, 405000, 255000, 506250, 1125000, 266250, 975000, 975000, 562500, 198750, 262500, 243750, 543750, 431250, 525000, 318750, 348750, 851250, 937500, 555000, 562500, 150000, 600000, 618750, 1548750]}, {\"customdata\": [[\"Aero OFF+ Soft Carbon\", \"Cornilleau\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Cornilleau\", \"marker\": {\"color\": \"#FFA15A\", \"size\": [14], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Cornilleau\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.1], \"y\": [8.7], \"z\": [221250]}, {\"customdata\": [[\"Esteem\", \"Darker\"], [\"Speed 90\", \"Darker\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Darker\", \"marker\": {\"color\": \"#19d3f3\", \"size\": [10, 26], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Darker\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.4, 9.5], \"y\": [9.3, 9.4], \"z\": [453750, 1125000]}, {\"customdata\": [[\"Appelgren Allplay\", \"Donic\"], [\"Appelgren Allplay Senso V1\", \"Donic\"], [\"Appelgren Dotec Control\", \"Donic\"], [\"Appelgren World Champion 89\", \"Donic\"], [\"Baum Esprit\", \"Donic\"], [\"Burn ALL+\", \"Donic\"], [\"Burn Aratox RS\", \"Donic\"], [\"Burn OFF-\", \"Donic\"], [\"Cayman\", \"Donic\"], [\"Defplay Classic Senso\", \"Donic\"], [\"Defplay Senso\", \"Donic\"], [\"Epox Carbotec\", \"Donic\"], [\"Epox Control\", \"Donic\"], [\"Epox Offensiv\", \"Donic\"], [\"Epox PowerAllround\", \"Donic\"], [\"Epox TopSpeed\", \"Donic\"], [\"Li Ping Kitex\", \"Donic\"], [\"Ovtcharov Carbospeed\", \"Donic\"], [\"Ovtcharov Senso V1\", \"Donic\"], [\"Ovtcharov True Carbon\", \"Donic\"], [\"Persson Carbotec\", \"Donic\"], [\"Persson Dotec OFF\", \"Donic\"], [\"Persson Exclusive OFF\", \"Donic\"], [\"Persson Power Allround\", \"Donic\"], [\"Persson Power Carbon\", \"Donic\"], [\"Persson Power Carbon Senso V1\", \"Donic\"], [\"Persson Powerplay\", \"Donic\"], [\"Persson Powerplay Senso V1\", \"Donic\"], [\"Waldner Allplay\", \"Donic\"], [\"Waldner Black Devil Carbon Balsa\", \"Donic\"], [\"Waldner Diablo Senso\", \"Donic\"], [\"Waldner Dicon\", \"Donic\"], [\"Waldner Dotec Carbon\", \"Donic\"], [\"Waldner Legend Carbon\", \"Donic\"], [\"Waldner OFF World Champion 89\", \"Donic\"], [\"Waldner Senso Carbon\", \"Donic\"], [\"Waldner Senso V1\", \"Donic\"], [\"Waldner Ultra Senso Carbon\", \"Donic\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Donic\", \"marker\": {\"color\": \"#FF6692\", \"size\": [38, 11, 12, 10, 12, 18, 10, 22, 13, 16, 21, 12, 17, 19, 15, 21, 11, 33, 13, 13, 11, 11, 12, 10, 11, 11, 26, 15, 13, 43, 12, 10, 16, 17, 18, 73, 10, 39], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Donic\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [6.8, 6.7, 7.4, 8.3, 8.7, 7.9, 8.7, 8.3, 8.1, 6.0, 5.5, 9.1, 7.7, 8.6, 8.3, 9.4, 9.2, 9.6, 8.9, 9.1, 9.0, 8.4, 7.9, 7.5, 9.4, 9.2, 8.6, 8.3, 7.3, 9.4, 8.1, 7.8, 9.1, 9.1, 9.1, 8.3, 7.7, 8.4], \"y\": [8.8, 8.9, 8.4, 9.7, 9.1, 8.8, 8.0, 8.4, 8.3, 9.3, 9.5, 9.0, 9.2, 8.1, 8.8, 7.2, 8.8, 8.2, 8.0, 8.6, 6.5, 8.7, 8.4, 8.3, 8.7, 7.6, 8.4, 8.1, 9.1, 8.1, 8.7, 9.0, 9.3, 8.9, 8.8, 8.8, 9.0, 8.5], \"z\": [105000, 165000, 161250, 420000, 195000, 187500, 318750, 187500, 108750, 187500, 187500, 251250, 213750, 213750, 157500, 210000, 296250, 236250, 255000, 371250, 198750, 296250, 120000, 161250, 206250, 206250, 180000, 112500, 112500, 213750, 217500, 180000, 337500, 217500, 487500, 187500, 150000, 228750]}, {\"customdata\": [[\"506 Ma Long\", \"DHS\"], [\"Fang Bo Carbon\", \"DHS\"], [\"Hurricane 301\", \"DHS\"], [\"Hurricane Bo 2 (Hurricane B2)\", \"DHS\"], [\"Hurricane H-WL\", \"DHS\"], [\"Hurricane Hao\", \"DHS\"], [\"Hurricane Hao 656\", \"DHS\"], [\"Hurricane Hao III\", \"DHS\"], [\"Hurricane King\", \"DHS\"], [\"Hurricane King 655\", \"DHS\"], [\"Hurricane King III\", \"DHS\"], [\"Hurricane Long 2\", \"DHS\"], [\"Hurricane Long 3\", \"DHS\"], [\"Hurricane Long 5\", \"DHS\"], [\"Power-G PG7\", \"DHS\"], [\"Power-G PG9\", \"DHS\"], [\"Wind CW-C\", \"DHS\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=DHS\", \"marker\": {\"color\": \"#B6E880\", \"size\": [13, 21, 59, 13, 24, 14, 16, 15, 27, 10, 17, 10, 34, 62, 132, 12, 22], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=DHS\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.2, 9.4, 9.2, 9.5, 9.5, 8.1, 8.7, 9.0, 8.6, 8.4, 9.3, 9.2, 9.4, 9.7, 8.9, 9.2, 9.4], \"y\": [9.2, 9.0, 9.5, 9.2, 8.5, 8.9, 9.3, 9.4, 8.8, 8.6, 9.1, 9.5, 9.4, 9.3, 8.9, 8.7, 7.3], \"z\": [423750, 270000, 258750, 262500, 187500, 333750, 521250, 630000, 528750, 502500, 746250, 750000, 750000, 712500, 105000, 112500, 150000]}, {\"customdata\": [[\"Barricade DEF\", \"Dr._Neubauer\"], [\"Firewall Plus\", \"Dr._Neubauer\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Dr._Neubauer\", \"marker\": {\"color\": \"#FF97FF\", \"size\": [14, 17], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Dr._Neubauer\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [5.5, 8.4], \"y\": [9.4, 9.0], \"z\": [187500, 243750]}, {\"customdata\": [[\"Bomb\", \"Friendship/729\"], [\"C-3\", \"Friendship/729\"], [\"Dynasty Hinoki Carbon\", \"Friendship/729\"], [\"V-6\", \"Friendship/729\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Friendship/729\", \"marker\": {\"color\": \"#FECB52\", \"size\": [43, 12, 10, 19], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Friendship/729\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [8.5, 8.0, 9.1, 8.2], \"y\": [8.5, 8.7, 8.4, 8.8], \"z\": [67500, 112500, 116250, 101250]}, {\"customdata\": [[\"896\", \"Yinhe\"], [\"980\", \"Yinhe\"], [\"988\", \"Yinhe\"], [\"Carbokev K-4\", \"Yinhe\"], [\"Def 5\", \"Yinhe\"], [\"Earth E-3\", \"Yinhe\"], [\"EC-14\", \"Yinhe\"], [\"J-1\", \"Yinhe\"], [\"MC-2\", \"Yinhe\"], [\"Mercury Y-13\", \"Yinhe\"], [\"Mercury Y-15\", \"Yinhe\"], [\"N-11\", \"Yinhe\"], [\"N-9\", \"Yinhe\"], [\"N11 S\", \"Yinhe\"], [\"N9S\", \"Yinhe\"], [\"T-1\", \"Yinhe\"], [\"T-10\", \"Yinhe\"], [\"T-11\", \"Yinhe\"], [\"T-11+\", \"Yinhe\"], [\"T-2\", \"Yinhe\"], [\"T-4\", \"Yinhe\"], [\"T-4s\", \"Yinhe\"], [\"T-7\", \"Yinhe\"], [\"T-8\", \"Yinhe\"], [\"T-8S\", \"Yinhe\"], [\"T7s\", \"Yinhe\"], [\"Venus V-12\", \"Yinhe\"], [\"Venus V-13\", \"Yinhe\"], [\"Venus V-14\", \"Yinhe\"], [\"Venus V-14 PRO\", \"Yinhe\"], [\"W-6\", \"Yinhe\"], [\"Y-2\", \"Yinhe\"], [\"Y-3\", \"Yinhe\"], [\"Y-4\", \"Yinhe\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Yinhe\", \"marker\": {\"color\": \"#636efa\", \"size\": [13, 15, 10, 10, 12, 11, 13, 18, 26, 14, 15, 11, 61, 13, 21, 11, 10, 54, 71, 17, 20, 16, 15, 32, 19, 10, 11, 12, 31, 21, 30, 12, 11, 14], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Yinhe\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [7.6, 7.0, 9.3, 8.4, 4.3, 8.2, 9.3, 7.9, 8.2, 8.8, 9.0, 8.0, 9.1, 8.2, 9.0, 9.3, 9.1, 9.5, 9.3, 9.3, 9.6, 9.6, 8.3, 9.3, 9.5, 9.1, 9.2, 8.9, 9.0, 9.2, 8.0, 9.1, 8.7, 8.8], \"y\": [8.6, 9.4, 8.8, 8.8, 9.2, 9.0, 8.9, 9.0, 9.3, 9.2, 9.2, 8.5, 9.1, 9.5, 9.5, 8.4, 7.7, 8.9, 8.9, 8.2, 8.3, 8.8, 8.8, 8.6, 9.2, 9.2, 9.2, 9.4, 9.0, 9.2, 8.8, 9.2, 7.7, 9.0], \"z\": [45000, 105000, 75000, 183750, 75000, 67500, 112500, 138750, 168750, 168750, 82500, 48750, 56250, 56250, 56250, 206250, 150000, 93750, 131250, 112500, 131250, 217500, 150000, 105000, 225000, 150000, 165000, 150000, 172500, 225000, 150000, 56250, 78750, 116250]}, {\"customdata\": [[\"Arylate Carbon\", \"Gambler\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Gambler\", \"marker\": {\"color\": \"#EF553B\", \"size\": [13], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Gambler\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [7.6], \"y\": [8.7], \"z\": [120000]}, {\"customdata\": [[\"Clipper\", \"Huaruite\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Huaruite\", \"marker\": {\"color\": \"#00cc96\", \"size\": [22], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Huaruite\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [8.3], \"y\": [9.2], \"z\": [45000]}, {\"customdata\": [[\"Aruna OFF\", \"JOOLA\"], [\"Bomb Extrem MCD\", \"JOOLA\"], [\"Chen Weixing\", \"JOOLA\"], [\"Eagle Fast\", \"JOOLA\"], [\"Fever\", \"JOOLA\"], [\"Flame Extreme\", \"JOOLA\"], [\"Flame Fast\", \"JOOLA\"], [\"Kool\", \"JOOLA\"], [\"MC1\", \"JOOLA\"], [\"Rossi Force\", \"JOOLA\"], [\"Rosskopf Emotion\", \"JOOLA\"], [\"TPE Nature\", \"JOOLA\"], [\"Viva\", \"JOOLA\"], [\"Wing Passion Extreme\", \"JOOLA\"], [\"Wing Passion Fast\", \"JOOLA\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=JOOLA\", \"marker\": {\"color\": \"#ab63fa\", \"size\": [14, 18, 18, 13, 20, 19, 12, 29, 28, 14, 38, 11, 17, 15, 10], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=JOOLA\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.0, 9.7, 7.8, 8.3, 8.8, 9.6, 8.7, 9.6, 9.7, 9.3, 8.7, 8.8, 8.4, 9.6, 8.3], \"y\": [9.5, 8.1, 8.7, 8.8, 9.2, 8.3, 9.2, 7.7, 9.0, 8.8, 9.1, 9.3, 8.8, 8.3, 7.3], \"z\": [525000, 412500, 281250, 262500, 525000, 337500, 300000, 480000, 371250, 371250, 375000, 281250, 243750, 412500, 371250]}, {\"customdata\": [[\"Ayous Hinoki\", \"LKT\"], [\"Instinct\", \"LKT\"], [\"Instinct+\", \"LKT\"], [\"Toxic 3\", \"LKT\"], [\"Will Power\", \"LKT\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=LKT\", \"marker\": {\"color\": \"#FFA15A\", \"size\": [10, 28, 13, 12, 10], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=LKT\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [7.7, 6.6, 7.9, 4.7, 9.3], \"y\": [8.5, 8.8, 8.4, 9.2, 8.3], \"z\": [82500, 60000, 60000, 90000, 120000]}, {\"customdata\": [[\"Calix\", \"Nexy\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Nexy\", \"marker\": {\"color\": \"#19d3f3\", \"size\": [14], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Nexy\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [8.8], \"y\": [9.3], \"z\": [562500]}, {\"customdata\": [[\"Acoustic\", \"Nittaku\"], [\"Acoustic  Large Handle\", \"Nittaku\"], [\"Acoustic Carbon\", \"Nittaku\"], [\"Acoustic Carbon Inner Large Handle\", \"Nittaku\"], [\"Adelie\", \"Nittaku\"], [\"Alulass\", \"Nittaku\"], [\"Barwell\", \"Nittaku\"], [\"Barwell Fleet\", \"Nittaku\"], [\"KCZ\", \"Nittaku\"], [\"Latika\", \"Nittaku\"], [\"Ludeack\", \"Nittaku\"], [\"Ludeack Fleet\", \"Nittaku\"], [\"Narcus\", \"Nittaku\"], [\"Redshank\", \"Nittaku\"], [\"Rutis\", \"Nittaku\"], [\"S-Series S-CZ\", \"Nittaku\"], [\"Septear\", \"Nittaku\"], [\"Septear Lead\", \"Nittaku\"], [\"Shake Defence\", \"Nittaku\"], [\"Tenor\", \"Nittaku\"], [\"Torua\", \"Nittaku\"], [\"Violin\", \"Nittaku\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Nittaku\", \"marker\": {\"color\": \"#FF6692\", \"size\": [62, 12, 14, 11, 20, 12, 13, 55, 10, 19, 22, 12, 11, 10, 10, 12, 17, 15, 11, 21, 10, 38], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Nittaku\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [8.5, 9.0, 9.3, 8.8, 8.7, 8.5, 9.2, 9.1, 9.1, 8.1, 8.6, 9.1, 8.8, 8.4, 8.8, 9.1, 8.4, 8.7, 6.5, 9.1, 7.2, 8.3], \"y\": [9.2, 9.2, 9.0, 9.6, 9.4, 9.3, 8.9, 9.4, 7.6, 8.9, 9.2, 8.3, 8.7, 9.1, 8.5, 9.6, 8.4, 9.5, 9.0, 9.0, 8.7, 9.0], \"z\": [618750, 615000, 671250, 641250, 551250, 326250, 618750, 843750, 318750, 277500, 375000, 746250, 187500, 187500, 412500, 525000, 187500, 225000, 412500, 663750, 172500, 618750]}, {\"customdata\": [[\"Expert ALL+\", \"OSP\"], [\"Virtuoso OFF-\", \"OSP\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=OSP\", \"marker\": {\"color\": \"#B6E880\", \"size\": [13, 38], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=OSP\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [7.6, 8.1], \"y\": [9.3, 9.2], \"z\": [420000, 420000]}, {\"customdata\": [[\"CAT\", \"Palio\"], [\"ENERGY 03\", \"Palio\"], [\"TCT\", \"Palio\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Palio\", \"marker\": {\"color\": \"#FF97FF\", \"size\": [10, 19, 15], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Palio\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [8.0, 8.8, 8.9], \"y\": [8.6, 9.2, 8.0], \"z\": [82500, 56250, 183750]}, {\"customdata\": [[\"F3 Pro\", \"Sanwei\"], [\"FEXTRA 7\", \"Sanwei\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Sanwei\", \"marker\": {\"color\": \"#FECB52\", \"size\": [19, 21], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Sanwei\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.2, 8.4], \"y\": [9.0, 9.3], \"z\": [187500, 112500]}, {\"customdata\": [[\"Allround Classic\", \"Stiga\"], [\"Allround Classic Carbon\", \"Stiga\"], [\"Allround Classic WRB\", \"Stiga\"], [\"Allround Evolution\", \"Stiga\"], [\"Allround NCT\", \"Stiga\"], [\"Carbo 7.6 WRB\", \"Stiga\"], [\"Carbonado 145\", \"Stiga\"], [\"Carbonado 190\", \"Stiga\"], [\"Carbonado 245\", \"Stiga\"], [\"Carbonado 290\", \"Stiga\"], [\"CC7\", \"Stiga\"], [\"Clipper\", \"Stiga\"], [\"Clipper CC\", \"Stiga\"], [\"Clipper CR (WRB)\", \"Stiga\"], [\"Clipper WRB\", \"Stiga\"], [\"Defensive NCT\", \"Stiga\"], [\"Ebenholz NCT V (5)\", \"Stiga\"], [\"Ebenholz NCT VII (7)\", \"Stiga\"], [\"Emerald VPS V\", \"Stiga\"], [\"Energy WRB\", \"Stiga\"], [\"Hybrid Wood NCT\", \"Stiga\"], [\"Infinity VPS V Diamond Touch\", \"Stiga\"], [\"Intensity NCT\", \"Stiga\"], [\"Intensity NCT Carbon\", \"Stiga\"], [\"Maplewood NCT V\", \"Stiga\"], [\"Offensive Classic (OC)\", \"Stiga\"], [\"Offensive Classic Carbon\", \"Stiga\"], [\"Offensive Classic WRB\", \"Stiga\"], [\"Offensive Wood NCT\", \"Stiga\"], [\"Optimum Carbo\", \"Stiga\"], [\"Rosewood NCT V\", \"Stiga\"], [\"Rosewood NCT VII\", \"Stiga\"], [\"Rosewood XO\", \"Stiga\"], [\"Tube Carbo WRB\", \"Stiga\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Stiga\", \"marker\": {\"color\": \"#636efa\", \"size\": [46, 12, 21, 13, 30, 19, 16, 23, 11, 12, 10, 45, 16, 27, 15, 13, 33, 26, 10, 14, 64, 65, 19, 15, 16, 38, 18, 21, 21, 15, 47, 35, 21, 22], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Stiga\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [6.7, 7.5, 6.7, 7.6, 7.5, 9.3, 9.4, 9.3, 9.7, 9.3, 9.7, 8.5, 9.5, 8.9, 8.8, 5.6, 9.1, 9.4, 9.4, 7.6, 9.5, 8.6, 8.8, 9.3, 9.1, 7.6, 8.5, 8.1, 8.1, 9.2, 8.9, 9.1, 9.2, 9.3], \"y\": [8.9, 8.9, 9.0, 8.5, 9.2, 8.5, 8.7, 9.3, 8.7, 9.2, 8.2, 8.4, 8.8, 8.4, 8.5, 9.4, 9.0, 8.5, 9.2, 8.3, 9.0, 8.9, 8.7, 9.0, 9.1, 8.4, 8.7, 8.3, 9.0, 7.1, 8.8, 8.7, 8.6, 8.3], \"z\": [142500, 176250, 161250, 131250, 195000, 311250, 656250, 618750, 753750, 750000, 521250, 262500, 427500, 288750, 243750, 206250, 513750, 506250, 487500, 146250, 405000, 281250, 408750, 450000, 487500, 172500, 180000, 225000, 206250, 412500, 431250, 525000, 487500, 198750]}, {\"customdata\": [[\"CCA Unlimited\", \"Tibhar\"], [\"Lebesson\", \"Tibhar\"], [\"Phantom X\", \"Tibhar\"], [\"Red Cypress\", \"Tibhar\"], [\"Samsonov Alpha\", \"Tibhar\"], [\"Samsonov Carbon\", \"Tibhar\"], [\"Samsonov Force Pro\", \"Tibhar\"], [\"Samsonov Force Pro Black Edition\", \"Tibhar\"], [\"Samsonov Premium Contact\", \"Tibhar\"], [\"Stratus Power Wood\", \"Tibhar\"], [\"Stratus Samsonov Carbon\", \"Tibhar\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Tibhar\", \"marker\": {\"color\": \"#EF553B\", \"size\": [16, 12, 11, 13, 24, 13, 13, 33, 13, 92, 20], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Tibhar\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.1, 8.4, 9.5, 8.8, 7.8, 9.0, 9.0, 9.3, 8.0, 8.9, 9.0], \"y\": [9.2, 9.0, 8.4, 9.1, 8.5, 8.0, 8.8, 9.3, 8.7, 9.3, 8.9], \"z\": [637500, 183750, 300000, 236250, 142500, 187500, 225000, 180000, 206250, 146250, 255000]}, {\"customdata\": [[\"Altero\", \"TSP\"], [\"Award Offensive\", \"TSP\"], [\"Balsa 2.5 Defence\", \"TSP\"], [\"Balsa 3.5 DEF+\", \"TSP\"], [\"Balsa 4.5 ALL\", \"TSP\"], [\"Balsa 5.5 ALL+\", \"TSP\"], [\"Balsa 6.5 OFF\", \"TSP\"], [\"Black Balsa 5.0\", \"TSP\"], [\"Black Balsa 7.0\", \"TSP\"], [\"Euro Feeling\", \"TSP\"], [\"Hino-Carbon Power\", \"TSP\"], [\"Reflex 50 Award OFF\", \"TSP\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=TSP\", \"marker\": {\"color\": \"#00cc96\", \"size\": [10, 13, 11, 10, 10, 14, 12, 10, 18, 11, 15, 15], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=TSP\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.1, 8.4, 5.0, 5.2, 7.5, 8.6, 9.3, 7.0, 9.2, 8.4, 9.1, 8.6], \"y\": [8.8, 9.0, 9.5, 9.5, 9.5, 9.1, 9.5, 9.5, 9.4, 9.4, 8.4, 9.3], \"z\": [337500, 168750, 225000, 243750, 243750, 243750, 206250, 243750, 157500, 168750, 375000, 120000]}, {\"customdata\": [[\"Fire Fall AC\", \"Victas\"], [\"Fire Fall FC\", \"Victas\"], [\"Fire Fall VC\", \"Victas\"], [\"Koji Matsushita\", \"Victas\"], [\"Koji Matsushita Defensive\", \"Victas\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Victas\", \"marker\": {\"color\": \"#ab63fa\", \"size\": [10, 21, 12, 14, 10], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Victas\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.4, 8.5, 9.5, 6.2, 5.0], \"y\": [9.2, 9.4, 9.4, 9.6, 9.7], \"z\": [378750, 378750, 525000, 356250, 401250]}, {\"customdata\": [[\"Shark 686\", \"Xi_Enting\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Xi_Enting\", \"marker\": {\"color\": \"#FFA15A\", \"size\": [15], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Xi_Enting\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.3], \"y\": [8.9], \"z\": [112500]}, {\"customdata\": [[\"Aigis\", \"Xiom\"], [\"Aria\", \"Xiom\"], [\"Axelo\", \"Xiom\"], [\"Diva\", \"Xiom\"], [\"Extreme S\", \"Xiom\"], [\"Fuga\", \"Xiom\"], [\"Hayabusa ZXi\", \"Xiom\"], [\"Ignito\", \"Xiom\"], [\"Offensive S\", \"Xiom\"], [\"Stradivarius\", \"Xiom\"], [\"Strato\", \"Xiom\"], [\"V1 Quad\", \"Xiom\"], [\"Vega Euro\", \"Xiom\"], [\"Vega Pro\", \"Xiom\"], [\"Vega Tour\", \"Xiom\"], [\"Zetro Quad\", \"Xiom\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Xiom\", \"marker\": {\"color\": \"#19d3f3\", \"size\": [15, 13, 20, 22, 20, 22, 30, 14, 36, 50, 30, 13, 18, 21, 28, 71], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Xiom\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [6.7, 8.7, 9.4, 8.4, 9.2, 8.3, 9.6, 9.1, 8.4, 8.9, 9.5, 9.1, 8.6, 8.7, 9.5, 9.0], \"y\": [9.6, 8.5, 8.3, 9.4, 9.0, 8.0, 8.7, 9.1, 9.2, 8.6, 8.8, 8.6, 9.3, 9.2, 9.6, 8.9], \"z\": [243750, 243750, 356250, 142500, 187500, 232500, 675000, 318750, 138750, 506250, 273750, 393750, 525000, 675000, 675000, 356250]}, {\"customdata\": [[\"Black Knight 7\", \"XVT\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=XVT\", \"marker\": {\"color\": \"#FF6692\", \"size\": [10], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=XVT\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.2], \"y\": [9.2], \"z\": [75000]}, {\"customdata\": [[\"Balsa\", \"Yasaka\"], [\"Dynamix 17\", \"Yasaka\"], [\"Extra\", \"Yasaka\"], [\"Extra Offensive 7 Power\", \"Yasaka\"], [\"Extra Special\", \"Yasaka\"], [\"Gatien Extra\", \"Yasaka\"], [\"Goiabao 5\", \"Yasaka\"], [\"Ma Lin Carbon\", \"Yasaka\"], [\"Ma Lin Extra Offensive\", \"Yasaka\"], [\"Ma Lin Soft Carbon\", \"Yasaka\"], [\"Max Carbon 3D\", \"Yasaka\"], [\"Silverline Carbon\", \"Yasaka\"], [\"Sweden Classic\", \"Yasaka\"], [\"Sweden Extra\", \"Yasaka\"], [\"X1\", \"Yasaka\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"Brand=%{customdata[1]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}<br>Name=%{customdata[0]}\", \"legendgroup\": \"Brand=Yasaka\", \"marker\": {\"color\": \"#B6E880\", \"size\": [10, 51, 24, 16, 24, 41, 33, 19, 73, 18, 16, 11, 24, 26, 10], \"sizemode\": \"area\", \"sizeref\": 0.007575757575757576, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Yasaka\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [7.5, 9.5, 7.4, 9.2, 8.7, 7.6, 9.4, 8.7, 8.6, 7.8, 9.7, 9.0, 6.8, 8.0, 9.4], \"y\": [7.7, 9.0, 9.0, 9.0, 8.8, 8.9, 9.1, 8.2, 8.6, 8.0, 8.4, 8.8, 9.2, 9.3, 7.4], \"z\": [142500, 273750, 150000, 168750, 153750, 142500, 195000, 225000, 127500, 187500, 232500, 187500, 150000, 131250, 172500]}],\n",
              "                        {\"height\": 800, \"legend\": {\"itemsizing\": \"constant\", \"tracegroupgap\": 0}, \"margin\": {\"t\": 60}, \"scene\": {\"domain\": {\"x\": [0.0, 1.0], \"y\": [0.0, 1.0]}, \"xaxis\": {\"title\": {\"text\": \"Speed\"}}, \"yaxis\": {\"title\": {\"text\": \"Control\"}}, \"zaxis\": {\"title\": {\"text\": \"Price\"}}}, \"template\": {\"data\": {\"bar\": [{\"error_x\": {\"color\": \"#2a3f5f\"}, \"error_y\": {\"color\": \"#2a3f5f\"}, \"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"bar\"}], \"barpolar\": [{\"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"barpolar\"}], \"carpet\": [{\"aaxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"baxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"type\": \"carpet\"}], \"choropleth\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"choropleth\"}], \"contour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"contour\"}], \"contourcarpet\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"contourcarpet\"}], \"heatmap\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmap\"}], \"heatmapgl\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmapgl\"}], \"histogram\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"histogram\"}], \"histogram2d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2d\"}], \"histogram2dcontour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2dcontour\"}], \"mesh3d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"mesh3d\"}], \"parcoords\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"parcoords\"}], \"pie\": [{\"automargin\": true, \"type\": \"pie\"}], \"scatter\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter\"}], \"scatter3d\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter3d\"}], \"scattercarpet\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattercarpet\"}], \"scattergeo\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergeo\"}], \"scattergl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergl\"}], \"scattermapbox\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattermapbox\"}], \"scatterpolar\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolar\"}], \"scatterpolargl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolargl\"}], \"scatterternary\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterternary\"}], \"surface\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"surface\"}], \"table\": [{\"cells\": {\"fill\": {\"color\": \"#EBF0F8\"}, \"line\": {\"color\": \"white\"}}, \"header\": {\"fill\": {\"color\": \"#C8D4E3\"}, \"line\": {\"color\": \"white\"}}, \"type\": \"table\"}]}, \"layout\": {\"annotationdefaults\": {\"arrowcolor\": \"#2a3f5f\", \"arrowhead\": 0, \"arrowwidth\": 1}, \"coloraxis\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"colorscale\": {\"diverging\": [[0, \"#8e0152\"], [0.1, \"#c51b7d\"], [0.2, \"#de77ae\"], [0.3, \"#f1b6da\"], [0.4, \"#fde0ef\"], [0.5, \"#f7f7f7\"], [0.6, \"#e6f5d0\"], [0.7, \"#b8e186\"], [0.8, \"#7fbc41\"], [0.9, \"#4d9221\"], [1, \"#276419\"]], \"sequential\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"sequentialminus\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]]}, \"colorway\": [\"#636efa\", \"#EF553B\", \"#00cc96\", \"#ab63fa\", \"#FFA15A\", \"#19d3f3\", \"#FF6692\", \"#B6E880\", \"#FF97FF\", \"#FECB52\"], \"font\": {\"color\": \"#2a3f5f\"}, \"geo\": {\"bgcolor\": \"white\", \"lakecolor\": \"white\", \"landcolor\": \"#E5ECF6\", \"showlakes\": true, \"showland\": true, \"subunitcolor\": \"white\"}, \"hoverlabel\": {\"align\": \"left\"}, \"hovermode\": \"closest\", \"mapbox\": {\"style\": \"light\"}, \"paper_bgcolor\": \"white\", \"plot_bgcolor\": \"#E5ECF6\", \"polar\": {\"angularaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"radialaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"scene\": {\"xaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"yaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"zaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}}, \"shapedefaults\": {\"line\": {\"color\": \"#2a3f5f\"}}, \"ternary\": {\"aaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"baxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"caxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}}}, \"width\": 1000},\n",
              "                        {\"responsive\": true}\n",
              "                    ).then(function(){\n",
              "                            \n",
              "var gd = document.getElementById('e00da352-497b-45dd-84c6-4669c06d2759');\n",
              "var x = new MutationObserver(function (mutations, observer) {{\n",
              "        var display = window.getComputedStyle(gd).display;\n",
              "        if (!display || display === 'none') {{\n",
              "            console.log([gd, 'removed!']);\n",
              "            Plotly.purge(gd);\n",
              "            observer.disconnect();\n",
              "        }}\n",
              "}});\n",
              "\n",
              "// Listen for the removal of the full notebook cells\n",
              "var notebookContainer = gd.closest('#notebook-container');\n",
              "if (notebookContainer) {{\n",
              "    x.observe(notebookContainer, {childList: true});\n",
              "}}\n",
              "\n",
              "// Listen for the clearing of the current output cell\n",
              "var outputEl = gd.closest('.output');\n",
              "if (outputEl) {{\n",
              "    x.observe(outputEl, {childList: true});\n",
              "}}\n",
              "\n",
              "                        })\n",
              "                };\n",
              "                \n",
              "            </script>\n",
              "        </div>\n",
              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "B6wGspei7AyQ"
      },
      "source": [
        "## Relaciones entre las variables\n",
        "Con el fin de visualizar preliminarmente la relación entre las distintas variables, se presentan la matrices de correlación entre las variables de interés con el fin de cuantificar la relación que existe entre estas. Se considera la correlación de Pearson en busca de relaciones lineales que no parecen tan evidentes según los diagramas de dispersión y también la correlación de Spearman dado que los datos visualmente parecen tener relaciones de crecimiento conjunto, pero no lineales."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JqouYERsiTDZ",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 415
        },
        "outputId": "083bee14-5c39-47cb-95ef-23ffe7c0f38c"
      },
      "source": [
        "fig, ax = plt.subplots(1,2,figsize=(14,7))\n",
        "ax[0].set_title('Correlación de Pearson')\n",
        "sns.heatmap(interest_blades_df.corr(), cmap='vlag', center = 0, square=True, ax = ax[0], annot= True);\n",
        "ax[1].set_title('Correlación de Spearman')\n",
        "sns.heatmap(interest_blades_df.corr(method='spearman'), cmap='vlag', center = 0, square=True, ax = ax[1], annot= True);"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 1008x504 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "VsjRzCHPVzXF"
      },
      "source": [
        "Se observan relaciones esperadas y conocidas:\n",
        "\n",
        "*   Correlación positiva alta entre la velocidad y la rigidez de los maderos.\n",
        "*   Correlación negativa baja entre la velocidad y el control de los maderos.\n",
        "*   Correlación positiva moderada entre el control y la calificación general de los maderos.\n",
        "\n",
        "Se observan relaciones debatidas:\n",
        "\n",
        "*   Correlación negativa moderada entre el control y la rigidez.\n",
        "*   Mayor correlación entre control y calificación general que entre velocidad y calificación general.\n",
        "\n",
        "Se observa como resultado contraintuitivo que a pesar de que el control es la característica que parece estar más fuertemente relacionada con la calificación general, esta no presenta una correlación significativa con el precio.\n",
        "\n",
        "## ¿son estas correlaciones significativas?\n",
        "Para determinar esto, se calculan los coeficientes de correlación de Pearson y Spearman para cada una de las relaciones observadas anteriormente junto con sus p-valores para determinar su significancia estadística.\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "c9Ay9fGFFI4f"
      },
      "source": [
        "def correlacion_pearson_con_significancia(x, y, alfa=0.05):\n",
        "  coef, p = stats.pearsonr(x, y)\n",
        "  print('Coeficiente de correlación de Pearson: {:.2f}'.format(coef))\n",
        "  if p > alfa:\n",
        "    print('Las muestras no están correlacionadas (no rechazar H0) p={:.3f}'.format(p))\n",
        "  else:\n",
        "    print('Las muestras están correlacionadas (rechazar H0) p={:.3f}'.format(p))\n",
        "\n",
        "def correlacion_spearman_con_significancia(x,y,alfa = 0.05):\n",
        "  coef, p = stats.spearmanr(x, y)\n",
        "  print('Coeficiente de correlación de Spearman: {:.2f}'.format(coef))\n",
        "  if p > alfa:\n",
        "    print('Las muestras no están correlacionadas (no rechazar H0) p={:.3f}'.format(p))\n",
        "  else:\n",
        "    print('Las muestras están correlacionadas (rechazar H0) p={:.3f}'.format(p))"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LP_SzUJ6FflM",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 85
        },
        "outputId": "0c552b34-5c18-4ada-bca8-65db520b0a69"
      },
      "source": [
        "correlacion_pearson_con_significancia(interest_blades_df['Speed'], interest_blades_df['Stiffness'])\n",
        "correlacion_spearman_con_significancia(interest_blades_df['Speed'], interest_blades_df['Stiffness'])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Coeficiente de correlación de Pearson: 0.70\n",
            "Las muestras están correlacionadas (rechazar H0) p=0.000\n",
            "Coeficiente de correlación de Spearman: 0.69\n",
            "Las muestras están correlacionadas (rechazar H0) p=0.000\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Nu7mfugGF2ZY",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 85
        },
        "outputId": "4d380bde-45c3-464c-f926-a90bc7186e72"
      },
      "source": [
        "correlacion_pearson_con_significancia(interest_blades_df['Speed'], interest_blades_df['Control'])\n",
        "correlacion_spearman_con_significancia(interest_blades_df['Speed'], interest_blades_df['Control'])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Coeficiente de correlación de Pearson: -0.20\n",
            "Las muestras están correlacionadas (rechazar H0) p=0.000\n",
            "Coeficiente de correlación de Spearman: -0.11\n",
            "Las muestras están correlacionadas (rechazar H0) p=0.035\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2qyGC_ZlF9L0",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 85
        },
        "outputId": "088ba625-c32b-41cc-f395-6da6d1eab52f"
      },
      "source": [
        "correlacion_pearson_con_significancia(interest_blades_df['Control'], interest_blades_df['Overall'])\n",
        "correlacion_spearman_con_significancia(interest_blades_df['Control'], interest_blades_df['Overall'])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Coeficiente de correlación de Pearson: 0.55\n",
            "Las muestras están correlacionadas (rechazar H0) p=0.000\n",
            "Coeficiente de correlación de Spearman: 0.61\n",
            "Las muestras están correlacionadas (rechazar H0) p=0.000\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "hDqlmufHGDZ0",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 85
        },
        "outputId": "c795bb34-7bcd-4ea5-a39d-aedec286d887"
      },
      "source": [
        "correlacion_pearson_con_significancia(interest_blades_df['Control'], interest_blades_df['Stiffness'])\n",
        "correlacion_spearman_con_significancia(interest_blades_df['Control'], interest_blades_df['Stiffness'])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Coeficiente de correlación de Pearson: -0.44\n",
            "Las muestras están correlacionadas (rechazar H0) p=0.000\n",
            "Coeficiente de correlación de Spearman: -0.36\n",
            "Las muestras están correlacionadas (rechazar H0) p=0.000\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "BLMnhc0tGWI0",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 85
        },
        "outputId": "ba567ce8-0dae-4d0e-f5d1-ebecf740a2d7"
      },
      "source": [
        "correlacion_pearson_con_significancia(interest_blades_df['Speed'], interest_blades_df['Overall'])\n",
        "correlacion_spearman_con_significancia(interest_blades_df['Speed'], interest_blades_df['Overall'])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Coeficiente de correlación de Pearson: 0.37\n",
            "Las muestras están correlacionadas (rechazar H0) p=0.000\n",
            "Coeficiente de correlación de Spearman: 0.41\n",
            "Las muestras están correlacionadas (rechazar H0) p=0.000\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "1sZMI8E2OvBV",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 85
        },
        "outputId": "8d35a375-3b74-4e3c-a12a-4ac1a09f7a63"
      },
      "source": [
        "correlacion_pearson_con_significancia(interest_blades_df['Price'], interest_blades_df['Control'])\n",
        "correlacion_spearman_con_significancia(interest_blades_df['Price'], interest_blades_df['Control'])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Coeficiente de correlación de Pearson: 0.01\n",
            "Las muestras no están correlacionadas (no rechazar H0) p=0.908\n",
            "Coeficiente de correlación de Spearman: 0.08\n",
            "Las muestras no están correlacionadas (no rechazar H0) p=0.138\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3-uUwniy8CJ_"
      },
      "source": [
        "Al verificar los p-valores que determinan la significancia de las correlaciones de Pearson y de Spearman de interés observadas, se confirma que todas son estadísticamente significativas."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rbhVBv358GPT"
      },
      "source": [
        "# ¿Cuáles son los mejores maderos?\n",
        "Decidir cuáles son los mejores maderos es un problema multiobjetivo, queremos maximizar la velocidad y el control de la raqueta a la vez que queremos minimizar su precio. Para esto tomaremos como conjunto de interés las maderas que forman parte del frente de Pareto en cuanto a estas tres variables."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LQoJ7pT7xuF2"
      },
      "source": [
        "def find_pareto_front(df):\n",
        "  pareto_df = df.copy()\n",
        "  pareto_df['Front'] = True\n",
        "  pareto_np = pareto_df.to_numpy();\n",
        "  for i in range(0,len(pareto_np)):\n",
        "    if pareto_np[i,8]:\n",
        "      for j in range(0,len(pareto_np)):\n",
        "        if pareto_np[j,8]:\n",
        "          if (\n",
        "              (pareto_np[i,1]>=pareto_np[j,1] and pareto_np[i,2]>=pareto_np[j,2] and pareto_np[i,5]<=pareto_np[j,5]) and\n",
        "              (pareto_np[i,1]> pareto_np[j,1] or  pareto_np[i,2]> pareto_np[j,2] or  pareto_np[i,5]< pareto_np[j,5])\n",
        "              ):\n",
        "            pareto_np[j,8] = False\n",
        "          elif ((pareto_np[i,1]>=pareto_np[j,1] and pareto_np[i,2]>=pareto_np[j,2] and pareto_np[i,5]<=pareto_np[j,6]) and\n",
        "                (pareto_np[i,1]>pareto_np[j,1]  or  pareto_np[i,2]> pareto_np[j,2] or  pareto_np[i,5]< pareto_np[j,6])):\n",
        "            pareto_np[i,8] = False\n",
        "            break\n",
        "  pareto_df['Front'] = pareto_np[:,8]\n",
        "  pareto_df = pareto_df[pareto_df['Front']]\n",
        "  pareto_df = pareto_df[['Brand', 'Name', 'Speed', 'Control', 'Price','Ratings']]\n",
        "  return pareto_df"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VFnt8Llyncvu",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 669
        },
        "outputId": "9208a1c6-35dd-4380-f0b2-4911120bf641"
      },
      "source": [
        "pareto_df = find_pareto_front(interest_blades_df)\n",
        "pareto_df"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Brand</th>\n",
              "      <th>Name</th>\n",
              "      <th>Speed</th>\n",
              "      <th>Control</th>\n",
              "      <th>Price</th>\n",
              "      <th>Ratings</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>184</th>\n",
              "      <td>Andro</td>\n",
              "      <td>Treiber CO OFF</td>\n",
              "      <td>9.5</td>\n",
              "      <td>9.6</td>\n",
              "      <td>318750</td>\n",
              "      <td>14</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>679</th>\n",
              "      <td>Donic</td>\n",
              "      <td>Appelgren World Champion 89</td>\n",
              "      <td>8.3</td>\n",
              "      <td>9.7</td>\n",
              "      <td>420000</td>\n",
              "      <td>10</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>872</th>\n",
              "      <td>DHS</td>\n",
              "      <td>Hurricane Long 5</td>\n",
              "      <td>9.7</td>\n",
              "      <td>9.3</td>\n",
              "      <td>712500</td>\n",
              "      <td>62</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1023</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>988</td>\n",
              "      <td>9.3</td>\n",
              "      <td>8.8</td>\n",
              "      <td>75000</td>\n",
              "      <td>10</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1101</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>N9S</td>\n",
              "      <td>9.0</td>\n",
              "      <td>9.5</td>\n",
              "      <td>56250</td>\n",
              "      <td>21</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1124</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>T-11</td>\n",
              "      <td>9.5</td>\n",
              "      <td>8.9</td>\n",
              "      <td>93750</td>\n",
              "      <td>54</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1128</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>T-4</td>\n",
              "      <td>9.6</td>\n",
              "      <td>8.3</td>\n",
              "      <td>131250</td>\n",
              "      <td>20</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1129</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>T-4s</td>\n",
              "      <td>9.6</td>\n",
              "      <td>8.8</td>\n",
              "      <td>217500</td>\n",
              "      <td>16</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1134</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>T-8S</td>\n",
              "      <td>9.5</td>\n",
              "      <td>9.2</td>\n",
              "      <td>225000</td>\n",
              "      <td>19</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1169</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>Y-2</td>\n",
              "      <td>9.1</td>\n",
              "      <td>9.2</td>\n",
              "      <td>56250</td>\n",
              "      <td>12</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1277</th>\n",
              "      <td>Huaruite</td>\n",
              "      <td>Clipper</td>\n",
              "      <td>8.3</td>\n",
              "      <td>9.2</td>\n",
              "      <td>45000</td>\n",
              "      <td>22</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1380</th>\n",
              "      <td>JOOLA</td>\n",
              "      <td>MC1</td>\n",
              "      <td>9.7</td>\n",
              "      <td>9.0</td>\n",
              "      <td>371250</td>\n",
              "      <td>28</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2141</th>\n",
              "      <td>Tibhar</td>\n",
              "      <td>Samsonov Force Pro Black Edition</td>\n",
              "      <td>9.3</td>\n",
              "      <td>9.3</td>\n",
              "      <td>180000</td>\n",
              "      <td>33</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2176</th>\n",
              "      <td>TSP</td>\n",
              "      <td>Balsa 6.5 OFF</td>\n",
              "      <td>9.3</td>\n",
              "      <td>9.5</td>\n",
              "      <td>206250</td>\n",
              "      <td>12</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2190</th>\n",
              "      <td>TSP</td>\n",
              "      <td>Black Balsa 7.0</td>\n",
              "      <td>9.2</td>\n",
              "      <td>9.4</td>\n",
              "      <td>157500</td>\n",
              "      <td>18</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2300</th>\n",
              "      <td>Victas</td>\n",
              "      <td>Koji Matsushita Defensive</td>\n",
              "      <td>5.0</td>\n",
              "      <td>9.7</td>\n",
              "      <td>401250</td>\n",
              "      <td>10</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2333</th>\n",
              "      <td>Xiom</td>\n",
              "      <td>Aigis</td>\n",
              "      <td>6.7</td>\n",
              "      <td>9.6</td>\n",
              "      <td>243750</td>\n",
              "      <td>15</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2418</th>\n",
              "      <td>XVT</td>\n",
              "      <td>Black Knight 7</td>\n",
              "      <td>9.2</td>\n",
              "      <td>9.2</td>\n",
              "      <td>75000</td>\n",
              "      <td>10</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2459</th>\n",
              "      <td>Yasaka</td>\n",
              "      <td>Goiabao 5</td>\n",
              "      <td>9.4</td>\n",
              "      <td>9.1</td>\n",
              "      <td>195000</td>\n",
              "      <td>33</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2474</th>\n",
              "      <td>Yasaka</td>\n",
              "      <td>Max Carbon 3D</td>\n",
              "      <td>9.7</td>\n",
              "      <td>8.4</td>\n",
              "      <td>232500</td>\n",
              "      <td>16</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "         Brand                              Name  ...   Price  Ratings\n",
              "184      Andro                    Treiber CO OFF  ...  318750       14\n",
              "679      Donic       Appelgren World Champion 89  ...  420000       10\n",
              "872        DHS                  Hurricane Long 5  ...  712500       62\n",
              "1023     Yinhe                               988  ...   75000       10\n",
              "1101     Yinhe                               N9S  ...   56250       21\n",
              "1124     Yinhe                              T-11  ...   93750       54\n",
              "1128     Yinhe                               T-4  ...  131250       20\n",
              "1129     Yinhe                              T-4s  ...  217500       16\n",
              "1134     Yinhe                              T-8S  ...  225000       19\n",
              "1169     Yinhe                               Y-2  ...   56250       12\n",
              "1277  Huaruite                           Clipper  ...   45000       22\n",
              "1380     JOOLA                               MC1  ...  371250       28\n",
              "2141    Tibhar  Samsonov Force Pro Black Edition  ...  180000       33\n",
              "2176       TSP                     Balsa 6.5 OFF  ...  206250       12\n",
              "2190       TSP                   Black Balsa 7.0  ...  157500       18\n",
              "2300    Victas         Koji Matsushita Defensive  ...  401250       10\n",
              "2333      Xiom                             Aigis  ...  243750       15\n",
              "2418       XVT                    Black Knight 7  ...   75000       10\n",
              "2459    Yasaka                         Goiabao 5  ...  195000       33\n",
              "2474    Yasaka                     Max Carbon 3D  ...  232500       16\n",
              "\n",
              "[20 rows x 6 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 17
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mqGLXeMOAKZx",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 617
        },
        "outputId": "1797a627-5289-4fc9-81a8-b987ed7d1e50"
      },
      "source": [
        "px.scatter_3d(pareto_df, x='Speed', y='Control', z='Price', color='Brand', hover_name=\"Name\" , hover_data= [\"Brand\"], size = \"Ratings\", size_max=62, width=800, height=600)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<html>\n",
              "<head><meta charset=\"utf-8\" /></head>\n",
              "<body>\n",
              "    <div>\n",
              "            <script src=\"https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-AMS-MML_SVG\"></script><script type=\"text/javascript\">if (window.MathJax) {MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}</script>\n",
              "                <script type=\"text/javascript\">window.PlotlyConfig = {MathJaxConfig: 'local'};</script>\n",
              "        <script src=\"https://cdn.plot.ly/plotly-latest.min.js\"></script>    \n",
              "            <div id=\"8748f6ab-2ad3-4c13-a6af-2981f59cc4c1\" class=\"plotly-graph-div\" style=\"height:600px; width:800px;\"></div>\n",
              "            <script type=\"text/javascript\">\n",
              "                \n",
              "                    window.PLOTLYENV=window.PLOTLYENV || {};\n",
              "                    \n",
              "                if (document.getElementById(\"8748f6ab-2ad3-4c13-a6af-2981f59cc4c1\")) {\n",
              "                    Plotly.newPlot(\n",
              "                        '8748f6ab-2ad3-4c13-a6af-2981f59cc4c1',\n",
              "                        [{\"customdata\": [[\"Andro\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Treiber CO OFF\"], \"legendgroup\": \"Brand=Andro\", \"marker\": {\"color\": \"#636efa\", \"size\": [14], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Andro\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.5], \"y\": [9.6], \"z\": [318750]}, {\"customdata\": [[\"Donic\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Appelgren World Champion 89\"], \"legendgroup\": \"Brand=Donic\", \"marker\": {\"color\": \"#EF553B\", \"size\": [10], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Donic\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [8.3], \"y\": [9.7], \"z\": [420000]}, {\"customdata\": [[\"DHS\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Hurricane Long 5\"], \"legendgroup\": \"Brand=DHS\", \"marker\": {\"color\": \"#00cc96\", \"size\": [62], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=DHS\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.7], \"y\": [9.3], \"z\": [712500]}, {\"customdata\": [[\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"988\", \"N9S\", \"T-11\", \"T-4\", \"T-4s\", \"T-8S\", \"Y-2\"], \"legendgroup\": \"Brand=Yinhe\", \"marker\": {\"color\": \"#ab63fa\", \"size\": [10, 21, 54, 20, 16, 19, 12], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Yinhe\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.3, 9.0, 9.5, 9.6, 9.6, 9.5, 9.1], \"y\": [8.8, 9.5, 8.9, 8.3, 8.8, 9.2, 9.2], \"z\": [75000, 56250, 93750, 131250, 217500, 225000, 56250]}, {\"customdata\": [[\"Huaruite\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Clipper\"], \"legendgroup\": \"Brand=Huaruite\", \"marker\": {\"color\": \"#FFA15A\", \"size\": [22], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Huaruite\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [8.3], \"y\": [9.2], \"z\": [45000]}, {\"customdata\": [[\"JOOLA\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"MC1\"], \"legendgroup\": \"Brand=JOOLA\", \"marker\": {\"color\": \"#19d3f3\", \"size\": [28], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=JOOLA\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.7], \"y\": [9.0], \"z\": [371250]}, {\"customdata\": [[\"Tibhar\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Samsonov Force Pro Black Edition\"], \"legendgroup\": \"Brand=Tibhar\", \"marker\": {\"color\": \"#FF6692\", \"size\": [33], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Tibhar\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.3], \"y\": [9.3], \"z\": [180000]}, {\"customdata\": [[\"TSP\"], [\"TSP\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Balsa 6.5 OFF\", \"Black Balsa 7.0\"], \"legendgroup\": \"Brand=TSP\", \"marker\": {\"color\": \"#B6E880\", \"size\": [12, 18], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=TSP\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.3, 9.2], \"y\": [9.5, 9.4], \"z\": [206250, 157500]}, {\"customdata\": [[\"Victas\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Koji Matsushita Defensive\"], \"legendgroup\": \"Brand=Victas\", \"marker\": {\"color\": \"#FF97FF\", \"size\": [10], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Victas\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [5.0], \"y\": [9.7], \"z\": [401250]}, {\"customdata\": [[\"Xiom\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Aigis\"], \"legendgroup\": \"Brand=Xiom\", \"marker\": {\"color\": \"#FECB52\", \"size\": [15], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Xiom\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [6.7], \"y\": [9.6], \"z\": [243750]}, {\"customdata\": [[\"XVT\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Black Knight 7\"], \"legendgroup\": \"Brand=XVT\", \"marker\": {\"color\": \"#636efa\", \"size\": [10], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=XVT\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.2], \"y\": [9.2], \"z\": [75000]}, {\"customdata\": [[\"Yasaka\"], [\"Yasaka\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Goiabao 5\", \"Max Carbon 3D\"], \"legendgroup\": \"Brand=Yasaka\", \"marker\": {\"color\": \"#EF553B\", \"size\": [33, 16], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Yasaka\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.4, 9.7], \"y\": [9.1, 8.4], \"z\": [195000, 232500]}],\n",
              "                        {\"height\": 600, \"legend\": {\"itemsizing\": \"constant\", \"tracegroupgap\": 0}, \"margin\": {\"t\": 60}, \"scene\": {\"domain\": {\"x\": [0.0, 1.0], \"y\": [0.0, 1.0]}, \"xaxis\": {\"title\": {\"text\": \"Speed\"}}, \"yaxis\": {\"title\": {\"text\": \"Control\"}}, \"zaxis\": {\"title\": {\"text\": \"Price\"}}}, \"template\": {\"data\": {\"bar\": [{\"error_x\": {\"color\": \"#2a3f5f\"}, \"error_y\": {\"color\": \"#2a3f5f\"}, \"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"bar\"}], \"barpolar\": [{\"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"barpolar\"}], \"carpet\": [{\"aaxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"baxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"type\": \"carpet\"}], \"choropleth\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"choropleth\"}], \"contour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"contour\"}], \"contourcarpet\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"contourcarpet\"}], \"heatmap\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmap\"}], \"heatmapgl\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmapgl\"}], \"histogram\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"histogram\"}], \"histogram2d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2d\"}], \"histogram2dcontour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2dcontour\"}], \"mesh3d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"mesh3d\"}], \"parcoords\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"parcoords\"}], \"pie\": [{\"automargin\": true, \"type\": \"pie\"}], \"scatter\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter\"}], \"scatter3d\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter3d\"}], \"scattercarpet\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattercarpet\"}], \"scattergeo\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergeo\"}], \"scattergl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergl\"}], \"scattermapbox\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattermapbox\"}], \"scatterpolar\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolar\"}], \"scatterpolargl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolargl\"}], \"scatterternary\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterternary\"}], \"surface\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"surface\"}], \"table\": [{\"cells\": {\"fill\": {\"color\": \"#EBF0F8\"}, \"line\": {\"color\": \"white\"}}, \"header\": {\"fill\": {\"color\": \"#C8D4E3\"}, \"line\": {\"color\": \"white\"}}, \"type\": \"table\"}]}, \"layout\": {\"annotationdefaults\": {\"arrowcolor\": \"#2a3f5f\", \"arrowhead\": 0, \"arrowwidth\": 1}, \"coloraxis\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"colorscale\": {\"diverging\": [[0, \"#8e0152\"], [0.1, \"#c51b7d\"], [0.2, \"#de77ae\"], [0.3, \"#f1b6da\"], [0.4, \"#fde0ef\"], [0.5, \"#f7f7f7\"], [0.6, \"#e6f5d0\"], [0.7, \"#b8e186\"], [0.8, \"#7fbc41\"], [0.9, \"#4d9221\"], [1, \"#276419\"]], \"sequential\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"sequentialminus\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]]}, \"colorway\": [\"#636efa\", \"#EF553B\", \"#00cc96\", \"#ab63fa\", \"#FFA15A\", \"#19d3f3\", \"#FF6692\", \"#B6E880\", \"#FF97FF\", \"#FECB52\"], \"font\": {\"color\": \"#2a3f5f\"}, \"geo\": {\"bgcolor\": \"white\", \"lakecolor\": \"white\", \"landcolor\": \"#E5ECF6\", \"showlakes\": true, \"showland\": true, \"subunitcolor\": \"white\"}, \"hoverlabel\": {\"align\": \"left\"}, \"hovermode\": \"closest\", \"mapbox\": {\"style\": \"light\"}, \"paper_bgcolor\": \"white\", \"plot_bgcolor\": \"#E5ECF6\", \"polar\": {\"angularaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"radialaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"scene\": {\"xaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"yaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"zaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}}, \"shapedefaults\": {\"line\": {\"color\": \"#2a3f5f\"}}, \"ternary\": {\"aaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"baxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"caxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}}}, \"width\": 800},\n",
              "                        {\"responsive\": true}\n",
              "                    ).then(function(){\n",
              "                            \n",
              "var gd = document.getElementById('8748f6ab-2ad3-4c13-a6af-2981f59cc4c1');\n",
              "var x = new MutationObserver(function (mutations, observer) {{\n",
              "        var display = window.getComputedStyle(gd).display;\n",
              "        if (!display || display === 'none') {{\n",
              "            console.log([gd, 'removed!']);\n",
              "            Plotly.purge(gd);\n",
              "            observer.disconnect();\n",
              "        }}\n",
              "}});\n",
              "\n",
              "// Listen for the removal of the full notebook cells\n",
              "var notebookContainer = gd.closest('#notebook-container');\n",
              "if (notebookContainer) {{\n",
              "    x.observe(notebookContainer, {childList: true});\n",
              "}}\n",
              "\n",
              "// Listen for the clearing of the current output cell\n",
              "var outputEl = gd.closest('.output');\n",
              "if (outputEl) {{\n",
              "    x.observe(outputEl, {childList: true});\n",
              "}}\n",
              "\n",
              "                        })\n",
              "                };\n",
              "                \n",
              "            </script>\n",
              "        </div>\n",
              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "FsX5sUwwgp1C"
      },
      "source": [
        "Ahora vemos cómo cambia el frente de Pareto si cambiamos el número mínimo de reseñas requerido para considerar el madero como relevante.\n",
        "## Con 5 o más reseñas"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "AOHF2T8Tgoh9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 297
        },
        "outputId": "4948e3e0-3f02-4974-9175-70fa426435fb"
      },
      "source": [
        "blades_r5_df = preprocess(blades_df,5)\n",
        "blades_r5_df.describe()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Speed</th>\n",
              "      <th>Control</th>\n",
              "      <th>Stiffness</th>\n",
              "      <th>Overall</th>\n",
              "      <th>Price</th>\n",
              "      <th>Ratings</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>680.000000</td>\n",
              "      <td>680.000000</td>\n",
              "      <td>680.000000</td>\n",
              "      <td>680.000000</td>\n",
              "      <td>6.800000e+02</td>\n",
              "      <td>680.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>8.521324</td>\n",
              "      <td>8.724559</td>\n",
              "      <td>5.565294</td>\n",
              "      <td>9.014706</td>\n",
              "      <td>3.204816e+05</td>\n",
              "      <td>14.810294</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>0.930549</td>\n",
              "      <td>0.626701</td>\n",
              "      <td>1.427977</td>\n",
              "      <td>0.462103</td>\n",
              "      <td>2.328658e+05</td>\n",
              "      <td>14.752476</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>4.300000</td>\n",
              "      <td>5.700000</td>\n",
              "      <td>0.800000</td>\n",
              "      <td>7.300000</td>\n",
              "      <td>3.750000e+04</td>\n",
              "      <td>5.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>8.100000</td>\n",
              "      <td>8.400000</td>\n",
              "      <td>4.700000</td>\n",
              "      <td>8.775000</td>\n",
              "      <td>1.687500e+05</td>\n",
              "      <td>7.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>8.800000</td>\n",
              "      <td>8.800000</td>\n",
              "      <td>5.500000</td>\n",
              "      <td>9.100000</td>\n",
              "      <td>2.437500e+05</td>\n",
              "      <td>10.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>9.200000</td>\n",
              "      <td>9.200000</td>\n",
              "      <td>6.500000</td>\n",
              "      <td>9.400000</td>\n",
              "      <td>4.125000e+05</td>\n",
              "      <td>16.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>9.700000</td>\n",
              "      <td>10.000000</td>\n",
              "      <td>10.000000</td>\n",
              "      <td>10.000000</td>\n",
              "      <td>1.875000e+06</td>\n",
              "      <td>132.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "            Speed     Control   Stiffness     Overall         Price     Ratings\n",
              "count  680.000000  680.000000  680.000000  680.000000  6.800000e+02  680.000000\n",
              "mean     8.521324    8.724559    5.565294    9.014706  3.204816e+05   14.810294\n",
              "std      0.930549    0.626701    1.427977    0.462103  2.328658e+05   14.752476\n",
              "min      4.300000    5.700000    0.800000    7.300000  3.750000e+04    5.000000\n",
              "25%      8.100000    8.400000    4.700000    8.775000  1.687500e+05    7.000000\n",
              "50%      8.800000    8.800000    5.500000    9.100000  2.437500e+05   10.000000\n",
              "75%      9.200000    9.200000    6.500000    9.400000  4.125000e+05   16.000000\n",
              "max      9.700000   10.000000   10.000000   10.000000  1.875000e+06  132.000000"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 19
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "akeg8ksKhvEU",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 607
        },
        "outputId": "1a49d3c6-b82a-4abf-d377-393a64da2e02"
      },
      "source": [
        "pareto_5_df = find_pareto_front(blades_r5_df)\n",
        "pareto_5_df"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Brand</th>\n",
              "      <th>Name</th>\n",
              "      <th>Speed</th>\n",
              "      <th>Control</th>\n",
              "      <th>Price</th>\n",
              "      <th>Ratings</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>184</th>\n",
              "      <td>Andro</td>\n",
              "      <td>Treiber CO OFF</td>\n",
              "      <td>9.5</td>\n",
              "      <td>9.6</td>\n",
              "      <td>318750</td>\n",
              "      <td>14</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>214</th>\n",
              "      <td>Ariex</td>\n",
              "      <td>Grampus Wisdom</td>\n",
              "      <td>9.6</td>\n",
              "      <td>10.0</td>\n",
              "      <td>356250</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>980</th>\n",
              "      <td>Friendship/729</td>\n",
              "      <td>Dynasty Super Carbon</td>\n",
              "      <td>9.7</td>\n",
              "      <td>7.1</td>\n",
              "      <td>120000</td>\n",
              "      <td>8</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1018</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>983</td>\n",
              "      <td>9.5</td>\n",
              "      <td>6.3</td>\n",
              "      <td>78750</td>\n",
              "      <td>6</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1023</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>988</td>\n",
              "      <td>9.3</td>\n",
              "      <td>8.8</td>\n",
              "      <td>75000</td>\n",
              "      <td>10</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1086</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>Mercury Y-16</td>\n",
              "      <td>9.6</td>\n",
              "      <td>9.5</td>\n",
              "      <td>101250</td>\n",
              "      <td>6</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1101</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>N9S</td>\n",
              "      <td>9.0</td>\n",
              "      <td>9.5</td>\n",
              "      <td>56250</td>\n",
              "      <td>21</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1124</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>T-11</td>\n",
              "      <td>9.5</td>\n",
              "      <td>8.9</td>\n",
              "      <td>93750</td>\n",
              "      <td>54</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1149</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>Uranus U-3</td>\n",
              "      <td>9.3</td>\n",
              "      <td>9.6</td>\n",
              "      <td>112500</td>\n",
              "      <td>9</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1169</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>Y-2</td>\n",
              "      <td>9.1</td>\n",
              "      <td>9.2</td>\n",
              "      <td>56250</td>\n",
              "      <td>12</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1252</th>\n",
              "      <td>Globe</td>\n",
              "      <td>583</td>\n",
              "      <td>8.0</td>\n",
              "      <td>8.2</td>\n",
              "      <td>37500</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1277</th>\n",
              "      <td>Huaruite</td>\n",
              "      <td>Clipper</td>\n",
              "      <td>8.3</td>\n",
              "      <td>9.2</td>\n",
              "      <td>45000</td>\n",
              "      <td>22</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1380</th>\n",
              "      <td>JOOLA</td>\n",
              "      <td>MC1</td>\n",
              "      <td>9.7</td>\n",
              "      <td>9.0</td>\n",
              "      <td>371250</td>\n",
              "      <td>28</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1422</th>\n",
              "      <td>JOOLA</td>\n",
              "      <td>Toni Hold White Spot</td>\n",
              "      <td>5.5</td>\n",
              "      <td>9.7</td>\n",
              "      <td>168750</td>\n",
              "      <td>6</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2271</th>\n",
              "      <td>TSP</td>\n",
              "      <td>X Series Defensive Combi</td>\n",
              "      <td>5.4</td>\n",
              "      <td>9.7</td>\n",
              "      <td>123750</td>\n",
              "      <td>6</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2358</th>\n",
              "      <td>Xiom</td>\n",
              "      <td>Feel ZX2</td>\n",
              "      <td>9.7</td>\n",
              "      <td>9.6</td>\n",
              "      <td>487500</td>\n",
              "      <td>5</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2418</th>\n",
              "      <td>XVT</td>\n",
              "      <td>Black Knight 7</td>\n",
              "      <td>9.2</td>\n",
              "      <td>9.2</td>\n",
              "      <td>75000</td>\n",
              "      <td>10</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2474</th>\n",
              "      <td>Yasaka</td>\n",
              "      <td>Max Carbon 3D</td>\n",
              "      <td>9.7</td>\n",
              "      <td>8.4</td>\n",
              "      <td>232500</td>\n",
              "      <td>16</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "               Brand                      Name  Speed  Control   Price  Ratings\n",
              "184            Andro            Treiber CO OFF    9.5      9.6  318750       14\n",
              "214            Ariex            Grampus Wisdom    9.6     10.0  356250        5\n",
              "980   Friendship/729      Dynasty Super Carbon    9.7      7.1  120000        8\n",
              "1018           Yinhe                       983    9.5      6.3   78750        6\n",
              "1023           Yinhe                       988    9.3      8.8   75000       10\n",
              "1086           Yinhe              Mercury Y-16    9.6      9.5  101250        6\n",
              "1101           Yinhe                       N9S    9.0      9.5   56250       21\n",
              "1124           Yinhe                      T-11    9.5      8.9   93750       54\n",
              "1149           Yinhe                Uranus U-3    9.3      9.6  112500        9\n",
              "1169           Yinhe                       Y-2    9.1      9.2   56250       12\n",
              "1252           Globe                       583    8.0      8.2   37500        5\n",
              "1277        Huaruite                   Clipper    8.3      9.2   45000       22\n",
              "1380           JOOLA                       MC1    9.7      9.0  371250       28\n",
              "1422           JOOLA      Toni Hold White Spot    5.5      9.7  168750        6\n",
              "2271             TSP  X Series Defensive Combi    5.4      9.7  123750        6\n",
              "2358            Xiom                  Feel ZX2    9.7      9.6  487500        5\n",
              "2418             XVT            Black Knight 7    9.2      9.2   75000       10\n",
              "2474          Yasaka             Max Carbon 3D    9.7      8.4  232500       16"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 20
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "a_Na6KILiWsv",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 617
        },
        "outputId": "d3caaf30-115b-4210-9e8f-ecf6c0635de2"
      },
      "source": [
        "px.scatter_3d(pareto_5_df, x='Speed', y='Control', z='Price', color='Brand', hover_name=\"Name\" , hover_data= [\"Brand\"], size = \"Ratings\", size_max = 54, width=800, height=600)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<html>\n",
              "<head><meta charset=\"utf-8\" /></head>\n",
              "<body>\n",
              "    <div>\n",
              "            <script src=\"https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-AMS-MML_SVG\"></script><script type=\"text/javascript\">if (window.MathJax) {MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}</script>\n",
              "                <script type=\"text/javascript\">window.PlotlyConfig = {MathJaxConfig: 'local'};</script>\n",
              "        <script src=\"https://cdn.plot.ly/plotly-latest.min.js\"></script>    \n",
              "            <div id=\"75667e16-98fa-4cf1-b0b0-5eff304a6500\" class=\"plotly-graph-div\" style=\"height:600px; width:800px;\"></div>\n",
              "            <script type=\"text/javascript\">\n",
              "                \n",
              "                    window.PLOTLYENV=window.PLOTLYENV || {};\n",
              "                    \n",
              "                if (document.getElementById(\"75667e16-98fa-4cf1-b0b0-5eff304a6500\")) {\n",
              "                    Plotly.newPlot(\n",
              "                        '75667e16-98fa-4cf1-b0b0-5eff304a6500',\n",
              "                        [{\"customdata\": [[\"Andro\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Treiber CO OFF\"], \"legendgroup\": \"Brand=Andro\", \"marker\": {\"color\": \"#636efa\", \"size\": [14], \"sizemode\": \"area\", \"sizeref\": 0.018518518518518517, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Andro\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.5], \"y\": [9.6], \"z\": [318750]}, {\"customdata\": [[\"Ariex\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Grampus Wisdom\"], \"legendgroup\": \"Brand=Ariex\", \"marker\": {\"color\": \"#EF553B\", \"size\": [5], \"sizemode\": \"area\", \"sizeref\": 0.018518518518518517, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Ariex\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.6], \"y\": [10.0], \"z\": [356250]}, {\"customdata\": [[\"Friendship/729\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Dynasty Super Carbon\"], \"legendgroup\": \"Brand=Friendship/729\", \"marker\": {\"color\": \"#00cc96\", \"size\": [8], \"sizemode\": \"area\", \"sizeref\": 0.018518518518518517, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Friendship/729\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.7], \"y\": [7.1], \"z\": [120000]}, {\"customdata\": [[\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"983\", \"988\", \"Mercury Y-16\", \"N9S\", \"T-11\", \"Uranus U-3\", \"Y-2\"], \"legendgroup\": \"Brand=Yinhe\", \"marker\": {\"color\": \"#ab63fa\", \"size\": [6, 10, 6, 21, 54, 9, 12], \"sizemode\": \"area\", \"sizeref\": 0.018518518518518517, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Yinhe\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.5, 9.3, 9.6, 9.0, 9.5, 9.3, 9.1], \"y\": [6.3, 8.8, 9.5, 9.5, 8.9, 9.6, 9.2], \"z\": [78750, 75000, 101250, 56250, 93750, 112500, 56250]}, {\"customdata\": [[\"Globe\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"583\"], \"legendgroup\": \"Brand=Globe\", \"marker\": {\"color\": \"#FFA15A\", \"size\": [5], \"sizemode\": \"area\", \"sizeref\": 0.018518518518518517, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Globe\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [8.0], \"y\": [8.2], \"z\": [37500]}, {\"customdata\": [[\"Huaruite\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Clipper\"], \"legendgroup\": \"Brand=Huaruite\", \"marker\": {\"color\": \"#19d3f3\", \"size\": [22], \"sizemode\": \"area\", \"sizeref\": 0.018518518518518517, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Huaruite\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [8.3], \"y\": [9.2], \"z\": [45000]}, {\"customdata\": [[\"JOOLA\"], [\"JOOLA\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"MC1\", \"Toni Hold White Spot\"], \"legendgroup\": \"Brand=JOOLA\", \"marker\": {\"color\": \"#FF6692\", \"size\": [28, 6], \"sizemode\": \"area\", \"sizeref\": 0.018518518518518517, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=JOOLA\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.7, 5.5], \"y\": [9.0, 9.7], \"z\": [371250, 168750]}, {\"customdata\": [[\"TSP\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"X Series Defensive Combi\"], \"legendgroup\": \"Brand=TSP\", \"marker\": {\"color\": \"#B6E880\", \"size\": [6], \"sizemode\": \"area\", \"sizeref\": 0.018518518518518517, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=TSP\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [5.4], \"y\": [9.7], \"z\": [123750]}, {\"customdata\": [[\"Xiom\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Feel ZX2\"], \"legendgroup\": \"Brand=Xiom\", \"marker\": {\"color\": \"#FF97FF\", \"size\": [5], \"sizemode\": \"area\", \"sizeref\": 0.018518518518518517, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Xiom\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.7], \"y\": [9.6], \"z\": [487500]}, {\"customdata\": [[\"XVT\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Black Knight 7\"], \"legendgroup\": \"Brand=XVT\", \"marker\": {\"color\": \"#FECB52\", \"size\": [10], \"sizemode\": \"area\", \"sizeref\": 0.018518518518518517, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=XVT\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.2], \"y\": [9.2], \"z\": [75000]}, {\"customdata\": [[\"Yasaka\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Max Carbon 3D\"], \"legendgroup\": \"Brand=Yasaka\", \"marker\": {\"color\": \"#636efa\", \"size\": [16], \"sizemode\": \"area\", \"sizeref\": 0.018518518518518517, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Yasaka\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.7], \"y\": [8.4], \"z\": [232500]}],\n",
              "                        {\"height\": 600, \"legend\": {\"itemsizing\": \"constant\", \"tracegroupgap\": 0}, \"margin\": {\"t\": 60}, \"scene\": {\"domain\": {\"x\": [0.0, 1.0], \"y\": [0.0, 1.0]}, \"xaxis\": {\"title\": {\"text\": \"Speed\"}}, \"yaxis\": {\"title\": {\"text\": \"Control\"}}, \"zaxis\": {\"title\": {\"text\": \"Price\"}}}, \"template\": {\"data\": {\"bar\": [{\"error_x\": {\"color\": \"#2a3f5f\"}, \"error_y\": {\"color\": \"#2a3f5f\"}, \"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"bar\"}], \"barpolar\": [{\"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"barpolar\"}], \"carpet\": [{\"aaxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"baxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"type\": \"carpet\"}], \"choropleth\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"choropleth\"}], \"contour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"contour\"}], \"contourcarpet\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"contourcarpet\"}], \"heatmap\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmap\"}], \"heatmapgl\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmapgl\"}], \"histogram\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"histogram\"}], \"histogram2d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2d\"}], \"histogram2dcontour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2dcontour\"}], \"mesh3d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"mesh3d\"}], \"parcoords\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"parcoords\"}], \"pie\": [{\"automargin\": true, \"type\": \"pie\"}], \"scatter\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter\"}], \"scatter3d\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter3d\"}], \"scattercarpet\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattercarpet\"}], \"scattergeo\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergeo\"}], \"scattergl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergl\"}], \"scattermapbox\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattermapbox\"}], \"scatterpolar\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolar\"}], \"scatterpolargl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolargl\"}], \"scatterternary\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterternary\"}], \"surface\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"surface\"}], \"table\": [{\"cells\": {\"fill\": {\"color\": \"#EBF0F8\"}, \"line\": {\"color\": \"white\"}}, \"header\": {\"fill\": {\"color\": \"#C8D4E3\"}, \"line\": {\"color\": \"white\"}}, \"type\": \"table\"}]}, \"layout\": {\"annotationdefaults\": {\"arrowcolor\": \"#2a3f5f\", \"arrowhead\": 0, \"arrowwidth\": 1}, \"coloraxis\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"colorscale\": {\"diverging\": [[0, \"#8e0152\"], [0.1, \"#c51b7d\"], [0.2, \"#de77ae\"], [0.3, \"#f1b6da\"], [0.4, \"#fde0ef\"], [0.5, \"#f7f7f7\"], [0.6, \"#e6f5d0\"], [0.7, \"#b8e186\"], [0.8, \"#7fbc41\"], [0.9, \"#4d9221\"], [1, \"#276419\"]], \"sequential\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"sequentialminus\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]]}, \"colorway\": [\"#636efa\", \"#EF553B\", \"#00cc96\", \"#ab63fa\", \"#FFA15A\", \"#19d3f3\", \"#FF6692\", \"#B6E880\", \"#FF97FF\", \"#FECB52\"], \"font\": {\"color\": \"#2a3f5f\"}, \"geo\": {\"bgcolor\": \"white\", \"lakecolor\": \"white\", \"landcolor\": \"#E5ECF6\", \"showlakes\": true, \"showland\": true, \"subunitcolor\": \"white\"}, \"hoverlabel\": {\"align\": \"left\"}, \"hovermode\": \"closest\", \"mapbox\": {\"style\": \"light\"}, \"paper_bgcolor\": \"white\", \"plot_bgcolor\": \"#E5ECF6\", \"polar\": {\"angularaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"radialaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"scene\": {\"xaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"yaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"zaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}}, \"shapedefaults\": {\"line\": {\"color\": \"#2a3f5f\"}}, \"ternary\": {\"aaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"baxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"caxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}}}, \"width\": 800},\n",
              "                        {\"responsive\": true}\n",
              "                    ).then(function(){\n",
              "                            \n",
              "var gd = document.getElementById('75667e16-98fa-4cf1-b0b0-5eff304a6500');\n",
              "var x = new MutationObserver(function (mutations, observer) {{\n",
              "        var display = window.getComputedStyle(gd).display;\n",
              "        if (!display || display === 'none') {{\n",
              "            console.log([gd, 'removed!']);\n",
              "            Plotly.purge(gd);\n",
              "            observer.disconnect();\n",
              "        }}\n",
              "}});\n",
              "\n",
              "// Listen for the removal of the full notebook cells\n",
              "var notebookContainer = gd.closest('#notebook-container');\n",
              "if (notebookContainer) {{\n",
              "    x.observe(notebookContainer, {childList: true});\n",
              "}}\n",
              "\n",
              "// Listen for the clearing of the current output cell\n",
              "var outputEl = gd.closest('.output');\n",
              "if (outputEl) {{\n",
              "    x.observe(outputEl, {childList: true});\n",
              "}}\n",
              "\n",
              "                        })\n",
              "                };\n",
              "                \n",
              "            </script>\n",
              "        </div>\n",
              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "tztyyJrLryua"
      },
      "source": [
        "## Con 20 o más reseñas"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "y7vZNWZRryuc",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 297
        },
        "outputId": "a96e31cd-d80c-4bcf-cede-197688463f73"
      },
      "source": [
        "blades_r20_df = preprocess(blades_df,20)\n",
        "blades_r20_df.describe()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Speed</th>\n",
              "      <th>Control</th>\n",
              "      <th>Stiffness</th>\n",
              "      <th>Overall</th>\n",
              "      <th>Price</th>\n",
              "      <th>Ratings</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>132.000000</td>\n",
              "      <td>132.000000</td>\n",
              "      <td>132.000000</td>\n",
              "      <td>132.000000</td>\n",
              "      <td>1.320000e+02</td>\n",
              "      <td>132.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>8.731818</td>\n",
              "      <td>8.817424</td>\n",
              "      <td>5.614394</td>\n",
              "      <td>9.193182</td>\n",
              "      <td>3.980682e+05</td>\n",
              "      <td>37.310606</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>0.776400</td>\n",
              "      <td>0.537523</td>\n",
              "      <td>1.356023</td>\n",
              "      <td>0.317479</td>\n",
              "      <td>2.980094e+05</td>\n",
              "      <td>20.834181</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>5.500000</td>\n",
              "      <td>7.100000</td>\n",
              "      <td>2.800000</td>\n",
              "      <td>7.700000</td>\n",
              "      <td>4.500000e+04</td>\n",
              "      <td>20.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>8.375000</td>\n",
              "      <td>8.600000</td>\n",
              "      <td>4.775000</td>\n",
              "      <td>9.000000</td>\n",
              "      <td>1.875000e+05</td>\n",
              "      <td>22.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>8.900000</td>\n",
              "      <td>8.900000</td>\n",
              "      <td>5.400000</td>\n",
              "      <td>9.300000</td>\n",
              "      <td>2.887500e+05</td>\n",
              "      <td>30.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>9.300000</td>\n",
              "      <td>9.200000</td>\n",
              "      <td>6.500000</td>\n",
              "      <td>9.400000</td>\n",
              "      <td>5.521875e+05</td>\n",
              "      <td>43.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>9.700000</td>\n",
              "      <td>9.600000</td>\n",
              "      <td>9.000000</td>\n",
              "      <td>9.600000</td>\n",
              "      <td>1.548750e+06</td>\n",
              "      <td>132.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "            Speed     Control   Stiffness     Overall         Price     Ratings\n",
              "count  132.000000  132.000000  132.000000  132.000000  1.320000e+02  132.000000\n",
              "mean     8.731818    8.817424    5.614394    9.193182  3.980682e+05   37.310606\n",
              "std      0.776400    0.537523    1.356023    0.317479  2.980094e+05   20.834181\n",
              "min      5.500000    7.100000    2.800000    7.700000  4.500000e+04   20.000000\n",
              "25%      8.375000    8.600000    4.775000    9.000000  1.875000e+05   22.000000\n",
              "50%      8.900000    8.900000    5.400000    9.300000  2.887500e+05   30.000000\n",
              "75%      9.300000    9.200000    6.500000    9.400000  5.521875e+05   43.000000\n",
              "max      9.700000    9.600000    9.000000    9.600000  1.548750e+06  132.000000"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 22
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7RqR8tUCryug",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 483
        },
        "outputId": "a65b11c8-c1ed-4e68-b7e8-39f44570c586"
      },
      "source": [
        "pareto_20_df = find_pareto_front(blades_r20_df)\n",
        "pareto_20_df"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Brand</th>\n",
              "      <th>Name</th>\n",
              "      <th>Speed</th>\n",
              "      <th>Control</th>\n",
              "      <th>Price</th>\n",
              "      <th>Ratings</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>170</th>\n",
              "      <td>Andro</td>\n",
              "      <td>Temper Tech OFF+</td>\n",
              "      <td>9.5</td>\n",
              "      <td>9.2</td>\n",
              "      <td>232500</td>\n",
              "      <td>30</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>193</th>\n",
              "      <td>Andro</td>\n",
              "      <td>Treiber Z</td>\n",
              "      <td>9.3</td>\n",
              "      <td>9.4</td>\n",
              "      <td>468750</td>\n",
              "      <td>57</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>196</th>\n",
              "      <td>Andro</td>\n",
              "      <td>Wanokiwami AO OFF</td>\n",
              "      <td>8.8</td>\n",
              "      <td>9.6</td>\n",
              "      <td>562500</td>\n",
              "      <td>21</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>851</th>\n",
              "      <td>DHS</td>\n",
              "      <td>Hurricane 301</td>\n",
              "      <td>9.2</td>\n",
              "      <td>9.5</td>\n",
              "      <td>258750</td>\n",
              "      <td>59</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>872</th>\n",
              "      <td>DHS</td>\n",
              "      <td>Hurricane Long 5</td>\n",
              "      <td>9.7</td>\n",
              "      <td>9.3</td>\n",
              "      <td>712500</td>\n",
              "      <td>62</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1098</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>N-9</td>\n",
              "      <td>9.1</td>\n",
              "      <td>9.1</td>\n",
              "      <td>56250</td>\n",
              "      <td>61</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1101</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>N9S</td>\n",
              "      <td>9.0</td>\n",
              "      <td>9.5</td>\n",
              "      <td>56250</td>\n",
              "      <td>21</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1124</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>T-11</td>\n",
              "      <td>9.5</td>\n",
              "      <td>8.9</td>\n",
              "      <td>93750</td>\n",
              "      <td>54</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1128</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>T-4</td>\n",
              "      <td>9.6</td>\n",
              "      <td>8.3</td>\n",
              "      <td>131250</td>\n",
              "      <td>20</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1277</th>\n",
              "      <td>Huaruite</td>\n",
              "      <td>Clipper</td>\n",
              "      <td>8.3</td>\n",
              "      <td>9.2</td>\n",
              "      <td>45000</td>\n",
              "      <td>22</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1380</th>\n",
              "      <td>JOOLA</td>\n",
              "      <td>MC1</td>\n",
              "      <td>9.7</td>\n",
              "      <td>9.0</td>\n",
              "      <td>371250</td>\n",
              "      <td>28</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2141</th>\n",
              "      <td>Tibhar</td>\n",
              "      <td>Samsonov Force Pro Black Edition</td>\n",
              "      <td>9.3</td>\n",
              "      <td>9.3</td>\n",
              "      <td>180000</td>\n",
              "      <td>33</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2405</th>\n",
              "      <td>Xiom</td>\n",
              "      <td>Vega Tour</td>\n",
              "      <td>9.5</td>\n",
              "      <td>9.6</td>\n",
              "      <td>675000</td>\n",
              "      <td>28</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2459</th>\n",
              "      <td>Yasaka</td>\n",
              "      <td>Goiabao 5</td>\n",
              "      <td>9.4</td>\n",
              "      <td>9.1</td>\n",
              "      <td>195000</td>\n",
              "      <td>33</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "         Brand                              Name  ...   Price  Ratings\n",
              "170      Andro                  Temper Tech OFF+  ...  232500       30\n",
              "193      Andro                         Treiber Z  ...  468750       57\n",
              "196      Andro                 Wanokiwami AO OFF  ...  562500       21\n",
              "851        DHS                     Hurricane 301  ...  258750       59\n",
              "872        DHS                  Hurricane Long 5  ...  712500       62\n",
              "1098     Yinhe                               N-9  ...   56250       61\n",
              "1101     Yinhe                               N9S  ...   56250       21\n",
              "1124     Yinhe                              T-11  ...   93750       54\n",
              "1128     Yinhe                               T-4  ...  131250       20\n",
              "1277  Huaruite                           Clipper  ...   45000       22\n",
              "1380     JOOLA                               MC1  ...  371250       28\n",
              "2141    Tibhar  Samsonov Force Pro Black Edition  ...  180000       33\n",
              "2405      Xiom                         Vega Tour  ...  675000       28\n",
              "2459    Yasaka                         Goiabao 5  ...  195000       33\n",
              "\n",
              "[14 rows x 6 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 23
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TY2cEK-wryui",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 617
        },
        "outputId": "7e2b77f6-ab7c-4363-e354-35ca6f5ec07e"
      },
      "source": [
        "px.scatter_3d(pareto_20_df, x='Speed', y='Control', z='Price', color='Brand', hover_name=\"Name\" , hover_data= [\"Brand\"], size = \"Ratings\", size_max = 62, width=800, height=600)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<html>\n",
              "<head><meta charset=\"utf-8\" /></head>\n",
              "<body>\n",
              "    <div>\n",
              "            <script src=\"https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-AMS-MML_SVG\"></script><script type=\"text/javascript\">if (window.MathJax) {MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}</script>\n",
              "                <script type=\"text/javascript\">window.PlotlyConfig = {MathJaxConfig: 'local'};</script>\n",
              "        <script src=\"https://cdn.plot.ly/plotly-latest.min.js\"></script>    \n",
              "            <div id=\"e3ecd114-0e73-4ef2-a1a7-02f58328f686\" class=\"plotly-graph-div\" style=\"height:600px; width:800px;\"></div>\n",
              "            <script type=\"text/javascript\">\n",
              "                \n",
              "                    window.PLOTLYENV=window.PLOTLYENV || {};\n",
              "                    \n",
              "                if (document.getElementById(\"e3ecd114-0e73-4ef2-a1a7-02f58328f686\")) {\n",
              "                    Plotly.newPlot(\n",
              "                        'e3ecd114-0e73-4ef2-a1a7-02f58328f686',\n",
              "                        [{\"customdata\": [[\"Andro\"], [\"Andro\"], [\"Andro\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Temper Tech OFF+\", \"Treiber Z\", \"Wanokiwami AO OFF\"], \"legendgroup\": \"Brand=Andro\", \"marker\": {\"color\": \"#636efa\", \"size\": [30, 57, 21], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Andro\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.5, 9.3, 8.8], \"y\": [9.2, 9.4, 9.6], \"z\": [232500, 468750, 562500]}, {\"customdata\": [[\"DHS\"], [\"DHS\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Hurricane 301\", \"Hurricane Long 5\"], \"legendgroup\": \"Brand=DHS\", \"marker\": {\"color\": \"#EF553B\", \"size\": [59, 62], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=DHS\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.2, 9.7], \"y\": [9.5, 9.3], \"z\": [258750, 712500]}, {\"customdata\": [[\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"], [\"Yinhe\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"N-9\", \"N9S\", \"T-11\", \"T-4\"], \"legendgroup\": \"Brand=Yinhe\", \"marker\": {\"color\": \"#00cc96\", \"size\": [61, 21, 54, 20], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Yinhe\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.1, 9.0, 9.5, 9.6], \"y\": [9.1, 9.5, 8.9, 8.3], \"z\": [56250, 56250, 93750, 131250]}, {\"customdata\": [[\"Huaruite\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Clipper\"], \"legendgroup\": \"Brand=Huaruite\", \"marker\": {\"color\": \"#ab63fa\", \"size\": [22], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Huaruite\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [8.3], \"y\": [9.2], \"z\": [45000]}, {\"customdata\": [[\"JOOLA\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"MC1\"], \"legendgroup\": \"Brand=JOOLA\", \"marker\": {\"color\": \"#FFA15A\", \"size\": [28], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=JOOLA\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.7], \"y\": [9.0], \"z\": [371250]}, {\"customdata\": [[\"Tibhar\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Samsonov Force Pro Black Edition\"], \"legendgroup\": \"Brand=Tibhar\", \"marker\": {\"color\": \"#19d3f3\", \"size\": [33], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Tibhar\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.3], \"y\": [9.3], \"z\": [180000]}, {\"customdata\": [[\"Xiom\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Vega Tour\"], \"legendgroup\": \"Brand=Xiom\", \"marker\": {\"color\": \"#FF6692\", \"size\": [28], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Xiom\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.5], \"y\": [9.6], \"z\": [675000]}, {\"customdata\": [[\"Yasaka\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Goiabao 5\"], \"legendgroup\": \"Brand=Yasaka\", \"marker\": {\"color\": \"#B6E880\", \"size\": [33], \"sizemode\": \"area\", \"sizeref\": 0.016129032258064516, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Yasaka\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.4], \"y\": [9.1], \"z\": [195000]}],\n",
              "                        {\"height\": 600, \"legend\": {\"itemsizing\": \"constant\", \"tracegroupgap\": 0}, \"margin\": {\"t\": 60}, \"scene\": {\"domain\": {\"x\": [0.0, 1.0], \"y\": [0.0, 1.0]}, \"xaxis\": {\"title\": {\"text\": \"Speed\"}}, \"yaxis\": {\"title\": {\"text\": \"Control\"}}, \"zaxis\": {\"title\": {\"text\": \"Price\"}}}, \"template\": {\"data\": {\"bar\": [{\"error_x\": {\"color\": \"#2a3f5f\"}, \"error_y\": {\"color\": \"#2a3f5f\"}, \"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"bar\"}], \"barpolar\": [{\"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"barpolar\"}], \"carpet\": [{\"aaxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"baxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"type\": \"carpet\"}], \"choropleth\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"choropleth\"}], \"contour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"contour\"}], \"contourcarpet\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"contourcarpet\"}], \"heatmap\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmap\"}], \"heatmapgl\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmapgl\"}], \"histogram\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"histogram\"}], \"histogram2d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2d\"}], \"histogram2dcontour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2dcontour\"}], \"mesh3d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"mesh3d\"}], \"parcoords\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"parcoords\"}], \"pie\": [{\"automargin\": true, \"type\": \"pie\"}], \"scatter\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter\"}], \"scatter3d\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter3d\"}], \"scattercarpet\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattercarpet\"}], \"scattergeo\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergeo\"}], \"scattergl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergl\"}], \"scattermapbox\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattermapbox\"}], \"scatterpolar\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolar\"}], \"scatterpolargl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolargl\"}], \"scatterternary\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterternary\"}], \"surface\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"surface\"}], \"table\": [{\"cells\": {\"fill\": {\"color\": \"#EBF0F8\"}, \"line\": {\"color\": \"white\"}}, \"header\": {\"fill\": {\"color\": \"#C8D4E3\"}, \"line\": {\"color\": \"white\"}}, \"type\": \"table\"}]}, \"layout\": {\"annotationdefaults\": {\"arrowcolor\": \"#2a3f5f\", \"arrowhead\": 0, \"arrowwidth\": 1}, \"coloraxis\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"colorscale\": {\"diverging\": [[0, \"#8e0152\"], [0.1, \"#c51b7d\"], [0.2, \"#de77ae\"], [0.3, \"#f1b6da\"], [0.4, \"#fde0ef\"], [0.5, \"#f7f7f7\"], [0.6, \"#e6f5d0\"], [0.7, \"#b8e186\"], [0.8, \"#7fbc41\"], [0.9, \"#4d9221\"], [1, \"#276419\"]], \"sequential\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"sequentialminus\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]]}, \"colorway\": [\"#636efa\", \"#EF553B\", \"#00cc96\", \"#ab63fa\", \"#FFA15A\", \"#19d3f3\", \"#FF6692\", \"#B6E880\", \"#FF97FF\", \"#FECB52\"], \"font\": {\"color\": \"#2a3f5f\"}, \"geo\": {\"bgcolor\": \"white\", \"lakecolor\": \"white\", \"landcolor\": \"#E5ECF6\", \"showlakes\": true, \"showland\": true, \"subunitcolor\": \"white\"}, \"hoverlabel\": {\"align\": \"left\"}, \"hovermode\": \"closest\", \"mapbox\": {\"style\": \"light\"}, \"paper_bgcolor\": \"white\", \"plot_bgcolor\": \"#E5ECF6\", \"polar\": {\"angularaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"radialaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"scene\": {\"xaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"yaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"zaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}}, \"shapedefaults\": {\"line\": {\"color\": \"#2a3f5f\"}}, \"ternary\": {\"aaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"baxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"caxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}}}, \"width\": 800},\n",
              "                        {\"responsive\": true}\n",
              "                    ).then(function(){\n",
              "                            \n",
              "var gd = document.getElementById('e3ecd114-0e73-4ef2-a1a7-02f58328f686');\n",
              "var x = new MutationObserver(function (mutations, observer) {{\n",
              "        var display = window.getComputedStyle(gd).display;\n",
              "        if (!display || display === 'none') {{\n",
              "            console.log([gd, 'removed!']);\n",
              "            Plotly.purge(gd);\n",
              "            observer.disconnect();\n",
              "        }}\n",
              "}});\n",
              "\n",
              "// Listen for the removal of the full notebook cells\n",
              "var notebookContainer = gd.closest('#notebook-container');\n",
              "if (notebookContainer) {{\n",
              "    x.observe(notebookContainer, {childList: true});\n",
              "}}\n",
              "\n",
              "// Listen for the clearing of the current output cell\n",
              "var outputEl = gd.closest('.output');\n",
              "if (outputEl) {{\n",
              "    x.observe(outputEl, {childList: true});\n",
              "}}\n",
              "\n",
              "                        })\n",
              "                };\n",
              "                \n",
              "            </script>\n",
              "        </div>\n",
              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pEt9Z8wgsaH6"
      },
      "source": [
        "\n",
        "## Con 30 o más reseñas"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YoFk04p9saH7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 297
        },
        "outputId": "e53c0288-5547-461e-f48b-387a756f2097"
      },
      "source": [
        "blades_r30_df = preprocess(blades_df,30)\n",
        "blades_r30_df.describe()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Speed</th>\n",
              "      <th>Control</th>\n",
              "      <th>Stiffness</th>\n",
              "      <th>Overall</th>\n",
              "      <th>Price</th>\n",
              "      <th>Ratings</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>69.000000</td>\n",
              "      <td>69.000000</td>\n",
              "      <td>69.000000</td>\n",
              "      <td>69.000000</td>\n",
              "      <td>6.900000e+01</td>\n",
              "      <td>69.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>8.823188</td>\n",
              "      <td>8.827536</td>\n",
              "      <td>5.694203</td>\n",
              "      <td>9.243478</td>\n",
              "      <td>4.210870e+05</td>\n",
              "      <td>50.115942</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>0.686240</td>\n",
              "      <td>0.531614</td>\n",
              "      <td>1.325639</td>\n",
              "      <td>0.275723</td>\n",
              "      <td>3.058060e+05</td>\n",
              "      <td>21.924695</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>6.700000</td>\n",
              "      <td>7.100000</td>\n",
              "      <td>3.100000</td>\n",
              "      <td>8.600000</td>\n",
              "      <td>5.625000e+04</td>\n",
              "      <td>30.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>8.500000</td>\n",
              "      <td>8.600000</td>\n",
              "      <td>4.800000</td>\n",
              "      <td>9.100000</td>\n",
              "      <td>1.875000e+05</td>\n",
              "      <td>34.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>9.000000</td>\n",
              "      <td>8.900000</td>\n",
              "      <td>5.500000</td>\n",
              "      <td>9.300000</td>\n",
              "      <td>3.562500e+05</td>\n",
              "      <td>43.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>9.400000</td>\n",
              "      <td>9.200000</td>\n",
              "      <td>6.500000</td>\n",
              "      <td>9.500000</td>\n",
              "      <td>5.625000e+05</td>\n",
              "      <td>59.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>9.700000</td>\n",
              "      <td>9.500000</td>\n",
              "      <td>8.800000</td>\n",
              "      <td>9.600000</td>\n",
              "      <td>1.548750e+06</td>\n",
              "      <td>132.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "           Speed    Control  Stiffness    Overall         Price     Ratings\n",
              "count  69.000000  69.000000  69.000000  69.000000  6.900000e+01   69.000000\n",
              "mean    8.823188   8.827536   5.694203   9.243478  4.210870e+05   50.115942\n",
              "std     0.686240   0.531614   1.325639   0.275723  3.058060e+05   21.924695\n",
              "min     6.700000   7.100000   3.100000   8.600000  5.625000e+04   30.000000\n",
              "25%     8.500000   8.600000   4.800000   9.100000  1.875000e+05   34.000000\n",
              "50%     9.000000   8.900000   5.500000   9.300000  3.562500e+05   43.000000\n",
              "75%     9.400000   9.200000   6.500000   9.500000  5.625000e+05   59.000000\n",
              "max     9.700000   9.500000   8.800000   9.600000  1.548750e+06  132.000000"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 25
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "-2Ww0hKasaH9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 514
        },
        "outputId": "ba021e18-322d-4aba-a9a2-14dff6e5d334"
      },
      "source": [
        "pareto_30_df = find_pareto_front(blades_r30_df)\n",
        "pareto_30_df"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Brand</th>\n",
              "      <th>Name</th>\n",
              "      <th>Speed</th>\n",
              "      <th>Control</th>\n",
              "      <th>Price</th>\n",
              "      <th>Ratings</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>168</th>\n",
              "      <td>Andro</td>\n",
              "      <td>Temper Tech ALL+</td>\n",
              "      <td>7.9</td>\n",
              "      <td>9.5</td>\n",
              "      <td>191250</td>\n",
              "      <td>42</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>170</th>\n",
              "      <td>Andro</td>\n",
              "      <td>Temper Tech OFF+</td>\n",
              "      <td>9.5</td>\n",
              "      <td>9.2</td>\n",
              "      <td>232500</td>\n",
              "      <td>30</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>193</th>\n",
              "      <td>Andro</td>\n",
              "      <td>Treiber Z</td>\n",
              "      <td>9.3</td>\n",
              "      <td>9.4</td>\n",
              "      <td>468750</td>\n",
              "      <td>57</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>315</th>\n",
              "      <td>Butterfly</td>\n",
              "      <td>Boll TriCarbon</td>\n",
              "      <td>9.7</td>\n",
              "      <td>7.1</td>\n",
              "      <td>431250</td>\n",
              "      <td>38</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>735</th>\n",
              "      <td>Donic</td>\n",
              "      <td>Ovtcharov Carbospeed</td>\n",
              "      <td>9.6</td>\n",
              "      <td>8.2</td>\n",
              "      <td>236250</td>\n",
              "      <td>33</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>851</th>\n",
              "      <td>DHS</td>\n",
              "      <td>Hurricane 301</td>\n",
              "      <td>9.2</td>\n",
              "      <td>9.5</td>\n",
              "      <td>258750</td>\n",
              "      <td>59</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>871</th>\n",
              "      <td>DHS</td>\n",
              "      <td>Hurricane Long 3</td>\n",
              "      <td>9.4</td>\n",
              "      <td>9.4</td>\n",
              "      <td>750000</td>\n",
              "      <td>34</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>872</th>\n",
              "      <td>DHS</td>\n",
              "      <td>Hurricane Long 5</td>\n",
              "      <td>9.7</td>\n",
              "      <td>9.3</td>\n",
              "      <td>712500</td>\n",
              "      <td>62</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1098</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>N-9</td>\n",
              "      <td>9.1</td>\n",
              "      <td>9.1</td>\n",
              "      <td>56250</td>\n",
              "      <td>61</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1124</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>T-11</td>\n",
              "      <td>9.5</td>\n",
              "      <td>8.9</td>\n",
              "      <td>93750</td>\n",
              "      <td>54</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2141</th>\n",
              "      <td>Tibhar</td>\n",
              "      <td>Samsonov Force Pro Black Edition</td>\n",
              "      <td>9.3</td>\n",
              "      <td>9.3</td>\n",
              "      <td>180000</td>\n",
              "      <td>33</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2152</th>\n",
              "      <td>Tibhar</td>\n",
              "      <td>Stratus Power Wood</td>\n",
              "      <td>8.9</td>\n",
              "      <td>9.3</td>\n",
              "      <td>146250</td>\n",
              "      <td>92</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2370</th>\n",
              "      <td>Xiom</td>\n",
              "      <td>Hayabusa ZXi</td>\n",
              "      <td>9.6</td>\n",
              "      <td>8.7</td>\n",
              "      <td>675000</td>\n",
              "      <td>30</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2385</th>\n",
              "      <td>Xiom</td>\n",
              "      <td>Offensive S</td>\n",
              "      <td>8.4</td>\n",
              "      <td>9.2</td>\n",
              "      <td>138750</td>\n",
              "      <td>36</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2459</th>\n",
              "      <td>Yasaka</td>\n",
              "      <td>Goiabao 5</td>\n",
              "      <td>9.4</td>\n",
              "      <td>9.1</td>\n",
              "      <td>195000</td>\n",
              "      <td>33</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "          Brand                              Name  ...   Price  Ratings\n",
              "168       Andro                  Temper Tech ALL+  ...  191250       42\n",
              "170       Andro                  Temper Tech OFF+  ...  232500       30\n",
              "193       Andro                         Treiber Z  ...  468750       57\n",
              "315   Butterfly                    Boll TriCarbon  ...  431250       38\n",
              "735       Donic              Ovtcharov Carbospeed  ...  236250       33\n",
              "851         DHS                     Hurricane 301  ...  258750       59\n",
              "871         DHS                  Hurricane Long 3  ...  750000       34\n",
              "872         DHS                  Hurricane Long 5  ...  712500       62\n",
              "1098      Yinhe                               N-9  ...   56250       61\n",
              "1124      Yinhe                              T-11  ...   93750       54\n",
              "2141     Tibhar  Samsonov Force Pro Black Edition  ...  180000       33\n",
              "2152     Tibhar                Stratus Power Wood  ...  146250       92\n",
              "2370       Xiom                      Hayabusa ZXi  ...  675000       30\n",
              "2385       Xiom                       Offensive S  ...  138750       36\n",
              "2459     Yasaka                         Goiabao 5  ...  195000       33\n",
              "\n",
              "[15 rows x 6 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 26
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6aZ6tNIMsaH_",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 617
        },
        "outputId": "c679648a-7610-4723-8516-55ee3c7e6910"
      },
      "source": [
        "px.scatter_3d(pareto_30_df, x='Speed', y='Control', z='Price', color='Brand', hover_name=\"Name\" , hover_data= [\"Brand\"], size = \"Ratings\", size_max = 92, width=800, height=600)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<html>\n",
              "<head><meta charset=\"utf-8\" /></head>\n",
              "<body>\n",
              "    <div>\n",
              "            <script src=\"https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-AMS-MML_SVG\"></script><script type=\"text/javascript\">if (window.MathJax) {MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}</script>\n",
              "                <script type=\"text/javascript\">window.PlotlyConfig = {MathJaxConfig: 'local'};</script>\n",
              "        <script src=\"https://cdn.plot.ly/plotly-latest.min.js\"></script>    \n",
              "            <div id=\"ea77a4a1-0d65-4d22-926b-72a6484e468d\" class=\"plotly-graph-div\" style=\"height:600px; width:800px;\"></div>\n",
              "            <script type=\"text/javascript\">\n",
              "                \n",
              "                    window.PLOTLYENV=window.PLOTLYENV || {};\n",
              "                    \n",
              "                if (document.getElementById(\"ea77a4a1-0d65-4d22-926b-72a6484e468d\")) {\n",
              "                    Plotly.newPlot(\n",
              "                        'ea77a4a1-0d65-4d22-926b-72a6484e468d',\n",
              "                        [{\"customdata\": [[\"Andro\"], [\"Andro\"], [\"Andro\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Temper Tech ALL+\", \"Temper Tech OFF+\", \"Treiber Z\"], \"legendgroup\": \"Brand=Andro\", \"marker\": {\"color\": \"#636efa\", \"size\": [42, 30, 57], \"sizemode\": \"area\", \"sizeref\": 0.010869565217391304, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Andro\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [7.9, 9.5, 9.3], \"y\": [9.5, 9.2, 9.4], \"z\": [191250, 232500, 468750]}, {\"customdata\": [[\"Butterfly\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Boll TriCarbon\"], \"legendgroup\": \"Brand=Butterfly\", \"marker\": {\"color\": \"#EF553B\", \"size\": [38], \"sizemode\": \"area\", \"sizeref\": 0.010869565217391304, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Butterfly\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.7], \"y\": [7.1], \"z\": [431250]}, {\"customdata\": [[\"Donic\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Ovtcharov Carbospeed\"], \"legendgroup\": \"Brand=Donic\", \"marker\": {\"color\": \"#00cc96\", \"size\": [33], \"sizemode\": \"area\", \"sizeref\": 0.010869565217391304, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Donic\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.6], \"y\": [8.2], \"z\": [236250]}, {\"customdata\": [[\"DHS\"], [\"DHS\"], [\"DHS\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Hurricane 301\", \"Hurricane Long 3\", \"Hurricane Long 5\"], \"legendgroup\": \"Brand=DHS\", \"marker\": {\"color\": \"#ab63fa\", \"size\": [59, 34, 62], \"sizemode\": \"area\", \"sizeref\": 0.010869565217391304, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=DHS\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.2, 9.4, 9.7], \"y\": [9.5, 9.4, 9.3], \"z\": [258750, 750000, 712500]}, {\"customdata\": [[\"Yinhe\"], [\"Yinhe\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"N-9\", \"T-11\"], \"legendgroup\": \"Brand=Yinhe\", \"marker\": {\"color\": \"#FFA15A\", \"size\": [61, 54], \"sizemode\": \"area\", \"sizeref\": 0.010869565217391304, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Yinhe\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.1, 9.5], \"y\": [9.1, 8.9], \"z\": [56250, 93750]}, {\"customdata\": [[\"Tibhar\"], [\"Tibhar\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Samsonov Force Pro Black Edition\", \"Stratus Power Wood\"], \"legendgroup\": \"Brand=Tibhar\", \"marker\": {\"color\": \"#19d3f3\", \"size\": [33, 92], \"sizemode\": \"area\", \"sizeref\": 0.010869565217391304, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Tibhar\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.3, 8.9], \"y\": [9.3, 9.3], \"z\": [180000, 146250]}, {\"customdata\": [[\"Xiom\"], [\"Xiom\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Hayabusa ZXi\", \"Offensive S\"], \"legendgroup\": \"Brand=Xiom\", \"marker\": {\"color\": \"#FF6692\", \"size\": [30, 36], \"sizemode\": \"area\", \"sizeref\": 0.010869565217391304, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Xiom\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.6, 8.4], \"y\": [8.7, 9.2], \"z\": [675000, 138750]}, {\"customdata\": [[\"Yasaka\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Goiabao 5\"], \"legendgroup\": \"Brand=Yasaka\", \"marker\": {\"color\": \"#B6E880\", \"size\": [33], \"sizemode\": \"area\", \"sizeref\": 0.010869565217391304, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Yasaka\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.4], \"y\": [9.1], \"z\": [195000]}],\n",
              "                        {\"height\": 600, \"legend\": {\"itemsizing\": \"constant\", \"tracegroupgap\": 0}, \"margin\": {\"t\": 60}, \"scene\": {\"domain\": {\"x\": [0.0, 1.0], \"y\": [0.0, 1.0]}, \"xaxis\": {\"title\": {\"text\": \"Speed\"}}, \"yaxis\": {\"title\": {\"text\": \"Control\"}}, \"zaxis\": {\"title\": {\"text\": \"Price\"}}}, \"template\": {\"data\": {\"bar\": [{\"error_x\": {\"color\": \"#2a3f5f\"}, \"error_y\": {\"color\": \"#2a3f5f\"}, \"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"bar\"}], \"barpolar\": [{\"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"barpolar\"}], \"carpet\": [{\"aaxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"baxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"type\": \"carpet\"}], \"choropleth\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"choropleth\"}], \"contour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"contour\"}], \"contourcarpet\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"contourcarpet\"}], \"heatmap\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmap\"}], \"heatmapgl\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmapgl\"}], \"histogram\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"histogram\"}], \"histogram2d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2d\"}], \"histogram2dcontour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2dcontour\"}], \"mesh3d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"mesh3d\"}], \"parcoords\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"parcoords\"}], \"pie\": [{\"automargin\": true, \"type\": \"pie\"}], \"scatter\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter\"}], \"scatter3d\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter3d\"}], \"scattercarpet\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattercarpet\"}], \"scattergeo\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergeo\"}], \"scattergl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergl\"}], \"scattermapbox\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattermapbox\"}], \"scatterpolar\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolar\"}], \"scatterpolargl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolargl\"}], \"scatterternary\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterternary\"}], \"surface\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"surface\"}], \"table\": [{\"cells\": {\"fill\": {\"color\": \"#EBF0F8\"}, \"line\": {\"color\": \"white\"}}, \"header\": {\"fill\": {\"color\": \"#C8D4E3\"}, \"line\": {\"color\": \"white\"}}, \"type\": \"table\"}]}, \"layout\": {\"annotationdefaults\": {\"arrowcolor\": \"#2a3f5f\", \"arrowhead\": 0, \"arrowwidth\": 1}, \"coloraxis\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"colorscale\": {\"diverging\": [[0, \"#8e0152\"], [0.1, \"#c51b7d\"], [0.2, \"#de77ae\"], [0.3, \"#f1b6da\"], [0.4, \"#fde0ef\"], [0.5, \"#f7f7f7\"], [0.6, \"#e6f5d0\"], [0.7, \"#b8e186\"], [0.8, \"#7fbc41\"], [0.9, \"#4d9221\"], [1, \"#276419\"]], \"sequential\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"sequentialminus\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]]}, \"colorway\": [\"#636efa\", \"#EF553B\", \"#00cc96\", \"#ab63fa\", \"#FFA15A\", \"#19d3f3\", \"#FF6692\", \"#B6E880\", \"#FF97FF\", \"#FECB52\"], \"font\": {\"color\": \"#2a3f5f\"}, \"geo\": {\"bgcolor\": \"white\", \"lakecolor\": \"white\", \"landcolor\": \"#E5ECF6\", \"showlakes\": true, \"showland\": true, \"subunitcolor\": \"white\"}, \"hoverlabel\": {\"align\": \"left\"}, \"hovermode\": \"closest\", \"mapbox\": {\"style\": \"light\"}, \"paper_bgcolor\": \"white\", \"plot_bgcolor\": \"#E5ECF6\", \"polar\": {\"angularaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"radialaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"scene\": {\"xaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"yaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"zaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}}, \"shapedefaults\": {\"line\": {\"color\": \"#2a3f5f\"}}, \"ternary\": {\"aaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"baxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"caxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}}}, \"width\": 800},\n",
              "                        {\"responsive\": true}\n",
              "                    ).then(function(){\n",
              "                            \n",
              "var gd = document.getElementById('ea77a4a1-0d65-4d22-926b-72a6484e468d');\n",
              "var x = new MutationObserver(function (mutations, observer) {{\n",
              "        var display = window.getComputedStyle(gd).display;\n",
              "        if (!display || display === 'none') {{\n",
              "            console.log([gd, 'removed!']);\n",
              "            Plotly.purge(gd);\n",
              "            observer.disconnect();\n",
              "        }}\n",
              "}});\n",
              "\n",
              "// Listen for the removal of the full notebook cells\n",
              "var notebookContainer = gd.closest('#notebook-container');\n",
              "if (notebookContainer) {{\n",
              "    x.observe(notebookContainer, {childList: true});\n",
              "}}\n",
              "\n",
              "// Listen for the clearing of the current output cell\n",
              "var outputEl = gd.closest('.output');\n",
              "if (outputEl) {{\n",
              "    x.observe(outputEl, {childList: true});\n",
              "}}\n",
              "\n",
              "                        })\n",
              "                };\n",
              "                \n",
              "            </script>\n",
              "        </div>\n",
              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "v3AMciX9s-Qs"
      },
      "source": [
        "\n",
        "## Con 40 o más reseñas"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zfr6Bwcus-Qt",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 297
        },
        "outputId": "9c334795-09b2-41bf-9e44-ff77e0a301f0"
      },
      "source": [
        "blades_r40_df = preprocess(blades_df,40)\n",
        "blades_r40_df.describe()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Speed</th>\n",
              "      <th>Control</th>\n",
              "      <th>Stiffness</th>\n",
              "      <th>Overall</th>\n",
              "      <th>Price</th>\n",
              "      <th>Ratings</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>39.000000</td>\n",
              "      <td>39.000000</td>\n",
              "      <td>39.000000</td>\n",
              "      <td>39.000000</td>\n",
              "      <td>3.900000e+01</td>\n",
              "      <td>39.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>8.848718</td>\n",
              "      <td>8.776923</td>\n",
              "      <td>5.787179</td>\n",
              "      <td>9.225641</td>\n",
              "      <td>4.344231e+05</td>\n",
              "      <td>62.666667</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>0.630318</td>\n",
              "      <td>0.555575</td>\n",
              "      <td>1.281278</td>\n",
              "      <td>0.294438</td>\n",
              "      <td>3.098194e+05</td>\n",
              "      <td>21.912906</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>6.700000</td>\n",
              "      <td>7.100000</td>\n",
              "      <td>3.300000</td>\n",
              "      <td>8.600000</td>\n",
              "      <td>5.625000e+04</td>\n",
              "      <td>41.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>8.500000</td>\n",
              "      <td>8.600000</td>\n",
              "      <td>5.000000</td>\n",
              "      <td>9.050000</td>\n",
              "      <td>1.875000e+05</td>\n",
              "      <td>47.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>8.900000</td>\n",
              "      <td>8.900000</td>\n",
              "      <td>5.700000</td>\n",
              "      <td>9.300000</td>\n",
              "      <td>3.562500e+05</td>\n",
              "      <td>56.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>9.300000</td>\n",
              "      <td>9.100000</td>\n",
              "      <td>6.500000</td>\n",
              "      <td>9.450000</td>\n",
              "      <td>5.906250e+05</td>\n",
              "      <td>71.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>9.700000</td>\n",
              "      <td>9.500000</td>\n",
              "      <td>8.500000</td>\n",
              "      <td>9.600000</td>\n",
              "      <td>1.125000e+06</td>\n",
              "      <td>132.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "           Speed    Control  Stiffness    Overall         Price     Ratings\n",
              "count  39.000000  39.000000  39.000000  39.000000  3.900000e+01   39.000000\n",
              "mean    8.848718   8.776923   5.787179   9.225641  4.344231e+05   62.666667\n",
              "std     0.630318   0.555575   1.281278   0.294438  3.098194e+05   21.912906\n",
              "min     6.700000   7.100000   3.300000   8.600000  5.625000e+04   41.000000\n",
              "25%     8.500000   8.600000   5.000000   9.050000  1.875000e+05   47.000000\n",
              "50%     8.900000   8.900000   5.700000   9.300000  3.562500e+05   56.000000\n",
              "75%     9.300000   9.100000   6.500000   9.450000  5.906250e+05   71.000000\n",
              "max     9.700000   9.500000   8.500000   9.600000  1.125000e+06  132.000000"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 28
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "K7inuQ2Ts-Qw",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 297
        },
        "outputId": "55c10f9c-5635-47f0-9c0a-7345a1e6d89c"
      },
      "source": [
        "pareto_40_df = find_pareto_front(blades_r40_df)\n",
        "pareto_40_df"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Brand</th>\n",
              "      <th>Name</th>\n",
              "      <th>Speed</th>\n",
              "      <th>Control</th>\n",
              "      <th>Price</th>\n",
              "      <th>Ratings</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>168</th>\n",
              "      <td>Andro</td>\n",
              "      <td>Temper Tech ALL+</td>\n",
              "      <td>7.9</td>\n",
              "      <td>9.5</td>\n",
              "      <td>191250</td>\n",
              "      <td>42</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>193</th>\n",
              "      <td>Andro</td>\n",
              "      <td>Treiber Z</td>\n",
              "      <td>9.3</td>\n",
              "      <td>9.4</td>\n",
              "      <td>468750</td>\n",
              "      <td>57</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>851</th>\n",
              "      <td>DHS</td>\n",
              "      <td>Hurricane 301</td>\n",
              "      <td>9.2</td>\n",
              "      <td>9.5</td>\n",
              "      <td>258750</td>\n",
              "      <td>59</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>872</th>\n",
              "      <td>DHS</td>\n",
              "      <td>Hurricane Long 5</td>\n",
              "      <td>9.7</td>\n",
              "      <td>9.3</td>\n",
              "      <td>712500</td>\n",
              "      <td>62</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1098</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>N-9</td>\n",
              "      <td>9.1</td>\n",
              "      <td>9.1</td>\n",
              "      <td>56250</td>\n",
              "      <td>61</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1124</th>\n",
              "      <td>Yinhe</td>\n",
              "      <td>T-11</td>\n",
              "      <td>9.5</td>\n",
              "      <td>8.9</td>\n",
              "      <td>93750</td>\n",
              "      <td>54</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2152</th>\n",
              "      <td>Tibhar</td>\n",
              "      <td>Stratus Power Wood</td>\n",
              "      <td>8.9</td>\n",
              "      <td>9.3</td>\n",
              "      <td>146250</td>\n",
              "      <td>92</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2441</th>\n",
              "      <td>Yasaka</td>\n",
              "      <td>Dynamix 17</td>\n",
              "      <td>9.5</td>\n",
              "      <td>9.0</td>\n",
              "      <td>273750</td>\n",
              "      <td>51</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "       Brand                Name  Speed  Control   Price  Ratings\n",
              "168    Andro    Temper Tech ALL+    7.9      9.5  191250       42\n",
              "193    Andro           Treiber Z    9.3      9.4  468750       57\n",
              "851      DHS       Hurricane 301    9.2      9.5  258750       59\n",
              "872      DHS    Hurricane Long 5    9.7      9.3  712500       62\n",
              "1098   Yinhe                 N-9    9.1      9.1   56250       61\n",
              "1124   Yinhe                T-11    9.5      8.9   93750       54\n",
              "2152  Tibhar  Stratus Power Wood    8.9      9.3  146250       92\n",
              "2441  Yasaka          Dynamix 17    9.5      9.0  273750       51"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 29
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GqyeIrfcs-Qy",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 617
        },
        "outputId": "886b2006-e827-4781-f5eb-9d4a238ab4dc"
      },
      "source": [
        "px.scatter_3d(pareto_40_df, x='Speed', y='Control', z='Price', color='Brand', hover_name=\"Name\" , hover_data= [\"Brand\"], size = \"Ratings\", size_max = 92, width=800, height=600)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "<html>\n",
              "<head><meta charset=\"utf-8\" /></head>\n",
              "<body>\n",
              "    <div>\n",
              "            <script src=\"https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-AMS-MML_SVG\"></script><script type=\"text/javascript\">if (window.MathJax) {MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}</script>\n",
              "                <script type=\"text/javascript\">window.PlotlyConfig = {MathJaxConfig: 'local'};</script>\n",
              "        <script src=\"https://cdn.plot.ly/plotly-latest.min.js\"></script>    \n",
              "            <div id=\"852d3b8d-deb1-4b80-99a9-7aa7c58aa1f8\" class=\"plotly-graph-div\" style=\"height:600px; width:800px;\"></div>\n",
              "            <script type=\"text/javascript\">\n",
              "                \n",
              "                    window.PLOTLYENV=window.PLOTLYENV || {};\n",
              "                    \n",
              "                if (document.getElementById(\"852d3b8d-deb1-4b80-99a9-7aa7c58aa1f8\")) {\n",
              "                    Plotly.newPlot(\n",
              "                        '852d3b8d-deb1-4b80-99a9-7aa7c58aa1f8',\n",
              "                        [{\"customdata\": [[\"Andro\"], [\"Andro\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Temper Tech ALL+\", \"Treiber Z\"], \"legendgroup\": \"Brand=Andro\", \"marker\": {\"color\": \"#636efa\", \"size\": [42, 57], \"sizemode\": \"area\", \"sizeref\": 0.010869565217391304, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Andro\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [7.9, 9.3], \"y\": [9.5, 9.4], \"z\": [191250, 468750]}, {\"customdata\": [[\"DHS\"], [\"DHS\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Hurricane 301\", \"Hurricane Long 5\"], \"legendgroup\": \"Brand=DHS\", \"marker\": {\"color\": \"#EF553B\", \"size\": [59, 62], \"sizemode\": \"area\", \"sizeref\": 0.010869565217391304, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=DHS\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.2, 9.7], \"y\": [9.5, 9.3], \"z\": [258750, 712500]}, {\"customdata\": [[\"Yinhe\"], [\"Yinhe\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"N-9\", \"T-11\"], \"legendgroup\": \"Brand=Yinhe\", \"marker\": {\"color\": \"#00cc96\", \"size\": [61, 54], \"sizemode\": \"area\", \"sizeref\": 0.010869565217391304, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Yinhe\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.1, 9.5], \"y\": [9.1, 8.9], \"z\": [56250, 93750]}, {\"customdata\": [[\"Tibhar\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Stratus Power Wood\"], \"legendgroup\": \"Brand=Tibhar\", \"marker\": {\"color\": \"#ab63fa\", \"size\": [92], \"sizemode\": \"area\", \"sizeref\": 0.010869565217391304, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Tibhar\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [8.9], \"y\": [9.3], \"z\": [146250]}, {\"customdata\": [[\"Yasaka\"]], \"hoverlabel\": {\"namelength\": 0}, \"hovertemplate\": \"<b>%{hovertext}</b><br><br>Brand=%{customdata[0]}<br>Speed=%{x}<br>Control=%{y}<br>Price=%{z}<br>Ratings=%{marker.size}\", \"hovertext\": [\"Dynamix 17\"], \"legendgroup\": \"Brand=Yasaka\", \"marker\": {\"color\": \"#FFA15A\", \"size\": [51], \"sizemode\": \"area\", \"sizeref\": 0.010869565217391304, \"symbol\": \"circle\"}, \"mode\": \"markers\", \"name\": \"Brand=Yasaka\", \"scene\": \"scene\", \"showlegend\": true, \"type\": \"scatter3d\", \"x\": [9.5], \"y\": [9.0], \"z\": [273750]}],\n",
              "                        {\"height\": 600, \"legend\": {\"itemsizing\": \"constant\", \"tracegroupgap\": 0}, \"margin\": {\"t\": 60}, \"scene\": {\"domain\": {\"x\": [0.0, 1.0], \"y\": [0.0, 1.0]}, \"xaxis\": {\"title\": {\"text\": \"Speed\"}}, \"yaxis\": {\"title\": {\"text\": \"Control\"}}, \"zaxis\": {\"title\": {\"text\": \"Price\"}}}, \"template\": {\"data\": {\"bar\": [{\"error_x\": {\"color\": \"#2a3f5f\"}, \"error_y\": {\"color\": \"#2a3f5f\"}, \"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"bar\"}], \"barpolar\": [{\"marker\": {\"line\": {\"color\": \"#E5ECF6\", \"width\": 0.5}}, \"type\": \"barpolar\"}], \"carpet\": [{\"aaxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"baxis\": {\"endlinecolor\": \"#2a3f5f\", \"gridcolor\": \"white\", \"linecolor\": \"white\", \"minorgridcolor\": \"white\", \"startlinecolor\": \"#2a3f5f\"}, \"type\": \"carpet\"}], \"choropleth\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"choropleth\"}], \"contour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"contour\"}], \"contourcarpet\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"contourcarpet\"}], \"heatmap\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmap\"}], \"heatmapgl\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"heatmapgl\"}], \"histogram\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"histogram\"}], \"histogram2d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2d\"}], \"histogram2dcontour\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"histogram2dcontour\"}], \"mesh3d\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"type\": \"mesh3d\"}], \"parcoords\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"parcoords\"}], \"pie\": [{\"automargin\": true, \"type\": \"pie\"}], \"scatter\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter\"}], \"scatter3d\": [{\"line\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatter3d\"}], \"scattercarpet\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattercarpet\"}], \"scattergeo\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergeo\"}], \"scattergl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattergl\"}], \"scattermapbox\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scattermapbox\"}], \"scatterpolar\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolar\"}], \"scatterpolargl\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterpolargl\"}], \"scatterternary\": [{\"marker\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"type\": \"scatterternary\"}], \"surface\": [{\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}, \"colorscale\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"type\": \"surface\"}], \"table\": [{\"cells\": {\"fill\": {\"color\": \"#EBF0F8\"}, \"line\": {\"color\": \"white\"}}, \"header\": {\"fill\": {\"color\": \"#C8D4E3\"}, \"line\": {\"color\": \"white\"}}, \"type\": \"table\"}]}, \"layout\": {\"annotationdefaults\": {\"arrowcolor\": \"#2a3f5f\", \"arrowhead\": 0, \"arrowwidth\": 1}, \"coloraxis\": {\"colorbar\": {\"outlinewidth\": 0, \"ticks\": \"\"}}, \"colorscale\": {\"diverging\": [[0, \"#8e0152\"], [0.1, \"#c51b7d\"], [0.2, \"#de77ae\"], [0.3, \"#f1b6da\"], [0.4, \"#fde0ef\"], [0.5, \"#f7f7f7\"], [0.6, \"#e6f5d0\"], [0.7, \"#b8e186\"], [0.8, \"#7fbc41\"], [0.9, \"#4d9221\"], [1, \"#276419\"]], \"sequential\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]], \"sequentialminus\": [[0.0, \"#0d0887\"], [0.1111111111111111, \"#46039f\"], [0.2222222222222222, \"#7201a8\"], [0.3333333333333333, \"#9c179e\"], [0.4444444444444444, \"#bd3786\"], [0.5555555555555556, \"#d8576b\"], [0.6666666666666666, \"#ed7953\"], [0.7777777777777778, \"#fb9f3a\"], [0.8888888888888888, \"#fdca26\"], [1.0, \"#f0f921\"]]}, \"colorway\": [\"#636efa\", \"#EF553B\", \"#00cc96\", \"#ab63fa\", \"#FFA15A\", \"#19d3f3\", \"#FF6692\", \"#B6E880\", \"#FF97FF\", \"#FECB52\"], \"font\": {\"color\": \"#2a3f5f\"}, \"geo\": {\"bgcolor\": \"white\", \"lakecolor\": \"white\", \"landcolor\": \"#E5ECF6\", \"showlakes\": true, \"showland\": true, \"subunitcolor\": \"white\"}, \"hoverlabel\": {\"align\": \"left\"}, \"hovermode\": \"closest\", \"mapbox\": {\"style\": \"light\"}, \"paper_bgcolor\": \"white\", \"plot_bgcolor\": \"#E5ECF6\", \"polar\": {\"angularaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"radialaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"scene\": {\"xaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"yaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}, \"zaxis\": {\"backgroundcolor\": \"#E5ECF6\", \"gridcolor\": \"white\", \"gridwidth\": 2, \"linecolor\": \"white\", \"showbackground\": true, \"ticks\": \"\", \"zerolinecolor\": \"white\"}}, \"shapedefaults\": {\"line\": {\"color\": \"#2a3f5f\"}}, \"ternary\": {\"aaxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"baxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}, \"bgcolor\": \"#E5ECF6\", \"caxis\": {\"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\"}}, \"title\": {\"x\": 0.05}, \"xaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}, \"yaxis\": {\"automargin\": true, \"gridcolor\": \"white\", \"linecolor\": \"white\", \"ticks\": \"\", \"title\": {\"standoff\": 15}, \"zerolinecolor\": \"white\", \"zerolinewidth\": 2}}}, \"width\": 800},\n",
              "                        {\"responsive\": true}\n",
              "                    ).then(function(){\n",
              "                            \n",
              "var gd = document.getElementById('852d3b8d-deb1-4b80-99a9-7aa7c58aa1f8');\n",
              "var x = new MutationObserver(function (mutations, observer) {{\n",
              "        var display = window.getComputedStyle(gd).display;\n",
              "        if (!display || display === 'none') {{\n",
              "            console.log([gd, 'removed!']);\n",
              "            Plotly.purge(gd);\n",
              "            observer.disconnect();\n",
              "        }}\n",
              "}});\n",
              "\n",
              "// Listen for the removal of the full notebook cells\n",
              "var notebookContainer = gd.closest('#notebook-container');\n",
              "if (notebookContainer) {{\n",
              "    x.observe(notebookContainer, {childList: true});\n",
              "}}\n",
              "\n",
              "// Listen for the clearing of the current output cell\n",
              "var outputEl = gd.closest('.output');\n",
              "if (outputEl) {{\n",
              "    x.observe(outputEl, {childList: true});\n",
              "}}\n",
              "\n",
              "                        })\n",
              "                };\n",
              "                \n",
              "            </script>\n",
              "        </div>\n",
              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7dC7jlpFEfhZ"
      },
      "source": [
        "# Conclusiones\n",
        "Basados en los análisis desarrollados sobre la base de datos de maderos recuperada, se llegó a los siguientes resultados y conclusiones:\n",
        "\n",
        "*   Se elaboraron 2 visualizaciones multivariadas que permiten observar las relaciones entre las características que describen un madero de tenis de mesa que potencialmente pueden permitir a un usuario identificar con mayor rapidez y eficacia un madero de su interés comparado a la navegación tradicional por el sitio web Revspin.\n",
        "\n",
        "*   Se determinaron y tabularon las correlaciones entre las distintas variables de los maderos de tenis de mesa teniendo en cuenta sus respectivas significancias estadísticas lo cual además de permitir cuantificar y visualizar la relación entre las variables de interés, sirve como referente para contrastar creencias sobre las mismas prevalentes en la comunidad.\n",
        "\n",
        "*   Se determinaron varios frentes de Pareto que optimizan las características velocidad, control y precio que pueden ser llamados como los mejores dentro de los grupos correspondientes a los que pertenecen. \n",
        "\n",
        "# ¿Cómo pueden aprovecharse estos resultados?\n",
        "Estos resultados pueden aprovecharse desde distintos ámbitos por parte de la comunidad del tenis de mesa. \n",
        "*   Desde la perspectiva de los jugadores, tener una relación más clara entre las variables que describen los maderos y la identificación de los frentes de pareto les permite tener un criterio más solido a la hora de elegir sus implementos los cuales son fundamentales en el desarrollo de la práctica.\n",
        "*   Desde la perspectiva de los vendedores de elementos deportivos, identificar que maderos poseen las mejores características les permite tener una ventaja competitiva a la hora de identificar con qué grupos de productos abastecerse. Además, el mejoramiento del criterio sobre los productos también les permite dar un valor agregado a sus clientes dando recomendaciones informadas sobre los mismos.\n",
        "\n",
        "# Trabajo futuro\n",
        "A partir del desarrollo de este proyecto se vislumbran como posibles continuaciones del mismo las siguientes actividades:\n",
        "\n",
        "*   Implementar mecanismos de actualización de los datos periódicamente que permitan que los análisis desarrollados no sean estáticos, sino que se mantengan cerca del estado actual de forma automatizada.\n",
        "\n",
        "*   Buscar el origen de las relaciones entre las variables halladas. Por ejemplo, la relación inversa entre la velocidad y el control de los maderos era esperada. Sin embargo, resulta comparativamente pequeña lo cual puede tener distintas explicaciones. Por ejemplo, puede que los usuarios no evalúen esta variable de manera independiente, sino que la evalúen en relación a la velocidad, la frase \"tiene buen control para la velocidad que tiene\" la cual es bastante común permite inferir que esta calificación no es independiente como debería para un análisis más detallado.\n",
        "\n",
        "*   Extender el análisis de elementos de tenis de mesa no solo a maderos sino también a cauchos pues estos tienen muchas más variables que determinan su calidad y las relaciones entre estos son aún menos claras que las encontradas en los maderos. Para esto se requiere la recopilación de una base de datos sobre los mismos potencialmente vía Webscrapping como fue obtenida originalmente la base de datos con la que se trabajó por parte del usuario StefPY de Kaggle.\n",
        "<br>![alt text](https://www.zonatt.com/media/zonatt/image/noticias/873_Foto.1585821750.png)\n",
        "\n",
        "*   Estandarizar la calificación de los elementos de tenis de mesa con criterios más científicos dado que variables como el control aunque son bien conocidas en la comunidad son altamente subjetivas y la comparación sobre estas parece no ser tan robusta.\n",
        "\n",
        "*   Desarrollar sistemas de recomendación que permitan determinar a partir de los datos de un usuario que productos tienen una alta probabilidad de ser de interés de este en base a registros anteriores u otros datos de este."
      ]
    }
  ]
}