E1_SuavizaciónExponencial_Simple.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Forecast | Time Series | Media Movil | Suavización Exponencial"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "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>date</th>\n",
       "      <th>value</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1991-07-01</td>\n",
       "      <td>3.526591</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1991-08-01</td>\n",
       "      <td>3.180891</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1991-09-01</td>\n",
       "      <td>3.252221</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1991-10-01</td>\n",
       "      <td>3.611003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1991-11-01</td>\n",
       "      <td>3.565869</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date     value\n",
       "0 1991-07-01  3.526591\n",
       "1 1991-08-01  3.180891\n",
       "2 1991-09-01  3.252221\n",
       "3 1991-10-01  3.611003\n",
       "4 1991-11-01  3.565869"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv ('https://raw.githubusercontent.com/selva86/datasets/master/a10.csv', parse_dates=['date'],)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(df.index,df['value'])\n",
    "\n",
    "plt.xlabel('Períodos')\n",
    "plt.ylabel('Ventas')\n",
    "plt.title('Series de Tiempo')\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Manipulación de datos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "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>date</th>\n",
       "      <th>value</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1991-07-01</td>\n",
       "      <td>3.526591</td>\n",
       "      <td>1991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1991-08-01</td>\n",
       "      <td>3.180891</td>\n",
       "      <td>1991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1991-09-01</td>\n",
       "      <td>3.252221</td>\n",
       "      <td>1991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1991-10-01</td>\n",
       "      <td>3.611003</td>\n",
       "      <td>1991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1991-11-01</td>\n",
       "      <td>3.565869</td>\n",
       "      <td>1991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>199</th>\n",
       "      <td>2008-02-01</td>\n",
       "      <td>21.654285</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <td>2008-03-01</td>\n",
       "      <td>18.264945</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>201</th>\n",
       "      <td>2008-04-01</td>\n",
       "      <td>23.107677</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>202</th>\n",
       "      <td>2008-05-01</td>\n",
       "      <td>22.912510</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>203</th>\n",
       "      <td>2008-06-01</td>\n",
       "      <td>19.431740</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>204 rows × 3 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "          date      value  year\n",
       "0   1991-07-01   3.526591  1991\n",
       "1   1991-08-01   3.180891  1991\n",
       "2   1991-09-01   3.252221  1991\n",
       "3   1991-10-01   3.611003  1991\n",
       "4   1991-11-01   3.565869  1991\n",
       "..         ...        ...   ...\n",
       "199 2008-02-01  21.654285  2008\n",
       "200 2008-03-01  18.264945  2008\n",
       "201 2008-04-01  23.107677  2008\n",
       "202 2008-05-01  22.912510  2008\n",
       "203 2008-06-01  19.431740  2008\n",
       "\n",
       "[204 rows x 3 columns]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['year'] = df['date'].apply(lambda x: pd.Timestamp(x).strftime('%Y'))\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\hp\\AppData\\Local\\Temp\\ipykernel_560\\4093919967.py:1: FutureWarning: The default value of numeric_only in DataFrameGroupBy.sum is deprecated. In a future version, numeric_only will default to False. Either specify numeric_only or select only columns which should be valid for the function.\n",
      "  anual = df.groupby('year').sum()\n"
     ]
    },
    {
     "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>year</th>\n",
       "      <th>value</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1991</td>\n",
       "      <td>21.442946</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1992</td>\n",
       "      <td>45.686946</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1993</td>\n",
       "      <td>55.532688</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1994</td>\n",
       "      <td>60.816080</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1995</td>\n",
       "      <td>67.326599</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1996</td>\n",
       "      <td>77.397927</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1997</td>\n",
       "      <td>85.131672</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1998</td>\n",
       "      <td>93.310626</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1999</td>\n",
       "      <td>105.959043</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2000</td>\n",
       "      <td>122.496586</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>2001</td>\n",
       "      <td>136.467442</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>2002</td>\n",
       "      <td>149.066136</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>2003</td>\n",
       "      <td>156.464261</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>2004</td>\n",
       "      <td>183.798935</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2005</td>\n",
       "      <td>199.655595</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>2006</td>\n",
       "      <td>220.354676</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>2007</td>\n",
       "      <td>265.718966</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2008</td>\n",
       "      <td>135.036513</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    year       value\n",
       "0   1991   21.442946\n",
       "1   1992   45.686946\n",
       "2   1993   55.532688\n",
       "3   1994   60.816080\n",
       "4   1995   67.326599\n",
       "5   1996   77.397927\n",
       "6   1997   85.131672\n",
       "7   1998   93.310626\n",
       "8   1999  105.959043\n",
       "9   2000  122.496586\n",
       "10  2001  136.467442\n",
       "11  2002  149.066136\n",
       "12  2003  156.464261\n",
       "13  2004  183.798935\n",
       "14  2005  199.655595\n",
       "15  2006  220.354676\n",
       "16  2007  265.718966\n",
       "17  2008  135.036513"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "anual = df.groupby('year').sum()\n",
    "anual = anual.reset_index()\n",
    "anual"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(anual.index,anual['value'], marker='o')\n",
    "\n",
    "plt.xlabel('Períodos')\n",
    "plt.ylabel('Ventas')\n",
    "plt.title('Series de Tiempo')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "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>year</th>\n",
       "      <th>value</th>\n",
       "      <th>MA</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1991</td>\n",
       "      <td>21.442946</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1992</td>\n",
       "      <td>45.686946</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1993</td>\n",
       "      <td>55.532688</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1994</td>\n",
       "      <td>60.816080</td>\n",
       "      <td>40.887527</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1995</td>\n",
       "      <td>67.326599</td>\n",
       "      <td>54.011905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1996</td>\n",
       "      <td>77.397927</td>\n",
       "      <td>61.225122</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1997</td>\n",
       "      <td>85.131672</td>\n",
       "      <td>68.513535</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1998</td>\n",
       "      <td>93.310626</td>\n",
       "      <td>76.618732</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1999</td>\n",
       "      <td>105.959043</td>\n",
       "      <td>85.280075</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2000</td>\n",
       "      <td>122.496586</td>\n",
       "      <td>94.800447</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>2001</td>\n",
       "      <td>136.467442</td>\n",
       "      <td>107.255418</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>2002</td>\n",
       "      <td>149.066136</td>\n",
       "      <td>121.641023</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>2003</td>\n",
       "      <td>156.464261</td>\n",
       "      <td>136.010054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>2004</td>\n",
       "      <td>183.798935</td>\n",
       "      <td>147.332613</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2005</td>\n",
       "      <td>199.655595</td>\n",
       "      <td>163.109777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>2006</td>\n",
       "      <td>220.354676</td>\n",
       "      <td>179.972931</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>2007</td>\n",
       "      <td>265.718966</td>\n",
       "      <td>201.269735</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2008</td>\n",
       "      <td>135.036513</td>\n",
       "      <td>228.576412</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    year       value          MA\n",
       "0   1991   21.442946         NaN\n",
       "1   1992   45.686946         NaN\n",
       "2   1993   55.532688         NaN\n",
       "3   1994   60.816080   40.887527\n",
       "4   1995   67.326599   54.011905\n",
       "5   1996   77.397927   61.225122\n",
       "6   1997   85.131672   68.513535\n",
       "7   1998   93.310626   76.618732\n",
       "8   1999  105.959043   85.280075\n",
       "9   2000  122.496586   94.800447\n",
       "10  2001  136.467442  107.255418\n",
       "11  2002  149.066136  121.641023\n",
       "12  2003  156.464261  136.010054\n",
       "13  2004  183.798935  147.332613\n",
       "14  2005  199.655595  163.109777\n",
       "15  2006  220.354676  179.972931\n",
       "16  2007  265.718966  201.269735\n",
       "17  2008  135.036513  228.576412"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "anual['MA'] = anual['value'].rolling(window=3).mean().shift(1)\n",
    "anual"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(anual.index,anual['value'], marker='o', color = 'black', label=\"Data\")\n",
    "plt.plot(anual.index,anual['MA'], marker='o', color = 'red', label=\"Forecast\")\n",
    "\n",
    "plt.xlabel('Períodos')\n",
    "plt.ylabel('Ventas')\n",
    "plt.title('Series de Tiempo')\n",
    "plt.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "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>year</th>\n",
       "      <th>value</th>\n",
       "      <th>MA</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1991</td>\n",
       "      <td>21.442946</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1992</td>\n",
       "      <td>45.686946</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1993</td>\n",
       "      <td>55.532688</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1994</td>\n",
       "      <td>60.816080</td>\n",
       "      <td>40.887527</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1995</td>\n",
       "      <td>67.326599</td>\n",
       "      <td>54.011905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1996</td>\n",
       "      <td>77.397927</td>\n",
       "      <td>61.225122</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1997</td>\n",
       "      <td>85.131672</td>\n",
       "      <td>68.513535</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1998</td>\n",
       "      <td>93.310626</td>\n",
       "      <td>76.618732</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1999</td>\n",
       "      <td>105.959043</td>\n",
       "      <td>85.280075</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2000</td>\n",
       "      <td>122.496586</td>\n",
       "      <td>94.800447</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>2001</td>\n",
       "      <td>136.467442</td>\n",
       "      <td>107.255418</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>2002</td>\n",
       "      <td>149.066136</td>\n",
       "      <td>121.641023</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>2003</td>\n",
       "      <td>156.464261</td>\n",
       "      <td>136.010054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>2004</td>\n",
       "      <td>183.798935</td>\n",
       "      <td>147.332613</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2005</td>\n",
       "      <td>199.655595</td>\n",
       "      <td>163.109777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>2006</td>\n",
       "      <td>220.354676</td>\n",
       "      <td>179.972931</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>2007</td>\n",
       "      <td>265.718966</td>\n",
       "      <td>201.269735</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2008</td>\n",
       "      <td>135.036513</td>\n",
       "      <td>228.576412</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>2009</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    year       value          MA\n",
       "0   1991   21.442946         NaN\n",
       "1   1992   45.686946         NaN\n",
       "2   1993   55.532688         NaN\n",
       "3   1994   60.816080   40.887527\n",
       "4   1995   67.326599   54.011905\n",
       "5   1996   77.397927   61.225122\n",
       "6   1997   85.131672   68.513535\n",
       "7   1998   93.310626   76.618732\n",
       "8   1999  105.959043   85.280075\n",
       "9   2000  122.496586   94.800447\n",
       "10  2001  136.467442  107.255418\n",
       "11  2002  149.066136  121.641023\n",
       "12  2003  156.464261  136.010054\n",
       "13  2004  183.798935  147.332613\n",
       "14  2005  199.655595  163.109777\n",
       "15  2006  220.354676  179.972931\n",
       "16  2007  265.718966  201.269735\n",
       "17  2008  135.036513  228.576412\n",
       "18  2009    0.000000    0.000000"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "anual.loc[len(anual)] = [int(anual.iloc[len(anual)-1][0])+1,0,0]\n",
    "anual"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "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>year</th>\n",
       "      <th>value</th>\n",
       "      <th>MA</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1991</td>\n",
       "      <td>21.442946</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1992</td>\n",
       "      <td>45.686946</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1993</td>\n",
       "      <td>55.532688</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1994</td>\n",
       "      <td>60.816080</td>\n",
       "      <td>40.887527</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1995</td>\n",
       "      <td>67.326599</td>\n",
       "      <td>54.011905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1996</td>\n",
       "      <td>77.397927</td>\n",
       "      <td>61.225122</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1997</td>\n",
       "      <td>85.131672</td>\n",
       "      <td>68.513535</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1998</td>\n",
       "      <td>93.310626</td>\n",
       "      <td>76.618732</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1999</td>\n",
       "      <td>105.959043</td>\n",
       "      <td>85.280075</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2000</td>\n",
       "      <td>122.496586</td>\n",
       "      <td>94.800447</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>2001</td>\n",
       "      <td>136.467442</td>\n",
       "      <td>107.255418</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>2002</td>\n",
       "      <td>149.066136</td>\n",
       "      <td>121.641023</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>2003</td>\n",
       "      <td>156.464261</td>\n",
       "      <td>136.010054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>2004</td>\n",
       "      <td>183.798935</td>\n",
       "      <td>147.332613</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2005</td>\n",
       "      <td>199.655595</td>\n",
       "      <td>163.109777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>2006</td>\n",
       "      <td>220.354676</td>\n",
       "      <td>179.972931</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>2007</td>\n",
       "      <td>265.718966</td>\n",
       "      <td>201.269735</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2008</td>\n",
       "      <td>135.036513</td>\n",
       "      <td>228.576412</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>2009</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>207.036718</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    year       value          MA\n",
       "0   1991   21.442946         NaN\n",
       "1   1992   45.686946         NaN\n",
       "2   1993   55.532688         NaN\n",
       "3   1994   60.816080   40.887527\n",
       "4   1995   67.326599   54.011905\n",
       "5   1996   77.397927   61.225122\n",
       "6   1997   85.131672   68.513535\n",
       "7   1998   93.310626   76.618732\n",
       "8   1999  105.959043   85.280075\n",
       "9   2000  122.496586   94.800447\n",
       "10  2001  136.467442  107.255418\n",
       "11  2002  149.066136  121.641023\n",
       "12  2003  156.464261  136.010054\n",
       "13  2004  183.798935  147.332613\n",
       "14  2005  199.655595  163.109777\n",
       "15  2006  220.354676  179.972931\n",
       "16  2007  265.718966  201.269735\n",
       "17  2008  135.036513  228.576412\n",
       "18  2009    0.000000  207.036718"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "anual['MA'] = anual['value'].rolling(window=3).mean().shift(1)\n",
    "\n",
    "anual['year'] = anual['year'].astype(int)\n",
    "anual['value'] = anual['value'].astype(float)\n",
    "anual['MA'] = anual['MA'].astype(float)\n",
    "\n",
    "anual"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(anual['year'][:-1],anual['value'][:-1], marker='o', color = 'black', label=\"Data\")\n",
    "plt.plot(anual['year'],anual['MA'], marker='o', color = 'red', label=\"Forecast\")\n",
    "\n",
    "plt.xlabel('Años')\n",
    "plt.ylabel('Ventas')\n",
    "plt.title('Series de Tiempo')\n",
    "plt.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "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>year</th>\n",
       "      <th>value</th>\n",
       "      <th>MA</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1991</td>\n",
       "      <td>21.442946</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1992</td>\n",
       "      <td>45.686946</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1993</td>\n",
       "      <td>55.532688</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1994</td>\n",
       "      <td>60.816080</td>\n",
       "      <td>40.887527</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1995</td>\n",
       "      <td>67.326599</td>\n",
       "      <td>54.011905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1996</td>\n",
       "      <td>77.397927</td>\n",
       "      <td>61.225122</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1997</td>\n",
       "      <td>85.131672</td>\n",
       "      <td>68.513535</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1998</td>\n",
       "      <td>93.310626</td>\n",
       "      <td>76.618732</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1999</td>\n",
       "      <td>105.959043</td>\n",
       "      <td>85.280075</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2000</td>\n",
       "      <td>122.496586</td>\n",
       "      <td>94.800447</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>2001</td>\n",
       "      <td>136.467442</td>\n",
       "      <td>107.255418</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>2002</td>\n",
       "      <td>149.066136</td>\n",
       "      <td>121.641023</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>2003</td>\n",
       "      <td>156.464261</td>\n",
       "      <td>136.010054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>2004</td>\n",
       "      <td>183.798935</td>\n",
       "      <td>147.332613</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2005</td>\n",
       "      <td>199.655595</td>\n",
       "      <td>163.109777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>2006</td>\n",
       "      <td>220.354676</td>\n",
       "      <td>179.972931</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>2007</td>\n",
       "      <td>265.718966</td>\n",
       "      <td>201.269735</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2008</td>\n",
       "      <td>135.036513</td>\n",
       "      <td>228.576412</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>2009</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>207.036718</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>2010</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>2011</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>2012</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    year       value          MA\n",
       "0   1991   21.442946         NaN\n",
       "1   1992   45.686946         NaN\n",
       "2   1993   55.532688         NaN\n",
       "3   1994   60.816080   40.887527\n",
       "4   1995   67.326599   54.011905\n",
       "5   1996   77.397927   61.225122\n",
       "6   1997   85.131672   68.513535\n",
       "7   1998   93.310626   76.618732\n",
       "8   1999  105.959043   85.280075\n",
       "9   2000  122.496586   94.800447\n",
       "10  2001  136.467442  107.255418\n",
       "11  2002  149.066136  121.641023\n",
       "12  2003  156.464261  136.010054\n",
       "13  2004  183.798935  147.332613\n",
       "14  2005  199.655595  163.109777\n",
       "15  2006  220.354676  179.972931\n",
       "16  2007  265.718966  201.269735\n",
       "17  2008  135.036513  228.576412\n",
       "18  2009    0.000000  207.036718\n",
       "19  2010    0.000000    0.000000\n",
       "20  2011    0.000000    0.000000\n",
       "21  2012    0.000000    0.000000"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "for n in range(3):\n",
    "    anual.loc[len(anual)] = [int(anual.iloc[len(anual)-1][0])+1,0,0]\n",
    "anual"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "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>year</th>\n",
       "      <th>value</th>\n",
       "      <th>MA</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1991</td>\n",
       "      <td>21.442946</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1992</td>\n",
       "      <td>45.686946</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1993</td>\n",
       "      <td>55.532688</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1994</td>\n",
       "      <td>60.816080</td>\n",
       "      <td>40.887527</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1995</td>\n",
       "      <td>67.326599</td>\n",
       "      <td>54.011905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1996</td>\n",
       "      <td>77.397927</td>\n",
       "      <td>61.225122</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1997</td>\n",
       "      <td>85.131672</td>\n",
       "      <td>68.513535</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1998</td>\n",
       "      <td>93.310626</td>\n",
       "      <td>76.618732</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1999</td>\n",
       "      <td>105.959043</td>\n",
       "      <td>85.280075</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2000</td>\n",
       "      <td>122.496586</td>\n",
       "      <td>94.800447</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>2001</td>\n",
       "      <td>136.467442</td>\n",
       "      <td>107.255418</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>2002</td>\n",
       "      <td>149.066136</td>\n",
       "      <td>121.641023</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>2003</td>\n",
       "      <td>156.464261</td>\n",
       "      <td>136.010054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>2004</td>\n",
       "      <td>183.798935</td>\n",
       "      <td>147.332613</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2005</td>\n",
       "      <td>199.655595</td>\n",
       "      <td>163.109777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>2006</td>\n",
       "      <td>220.354676</td>\n",
       "      <td>179.972931</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>2007</td>\n",
       "      <td>265.718966</td>\n",
       "      <td>201.269735</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2008</td>\n",
       "      <td>135.036513</td>\n",
       "      <td>228.576412</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>2009</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>207.036718</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>2010</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>133.585160</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>2011</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>45.012171</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>2012</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    year       value          MA\n",
       "0   1991   21.442946         NaN\n",
       "1   1992   45.686946         NaN\n",
       "2   1993   55.532688         NaN\n",
       "3   1994   60.816080   40.887527\n",
       "4   1995   67.326599   54.011905\n",
       "5   1996   77.397927   61.225122\n",
       "6   1997   85.131672   68.513535\n",
       "7   1998   93.310626   76.618732\n",
       "8   1999  105.959043   85.280075\n",
       "9   2000  122.496586   94.800447\n",
       "10  2001  136.467442  107.255418\n",
       "11  2002  149.066136  121.641023\n",
       "12  2003  156.464261  136.010054\n",
       "13  2004  183.798935  147.332613\n",
       "14  2005  199.655595  163.109777\n",
       "15  2006  220.354676  179.972931\n",
       "16  2007  265.718966  201.269735\n",
       "17  2008  135.036513  228.576412\n",
       "18  2009    0.000000  207.036718\n",
       "19  2010    0.000000  133.585160\n",
       "20  2011    0.000000   45.012171\n",
       "21  2012    0.000000    0.000000"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "anual['MA'] = anual['value'].rolling(window=3).mean().shift(1)\n",
    "\n",
    "anual['year'] = anual['year'].astype(int)\n",
    "anual['value'] = anual['value'].astype(float)\n",
    "anual['MA'] = anual['MA'].astype(float)\n",
    "\n",
    "anual"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(anual['year'][:-4],anual['value'][:-4], marker='o', color = 'black', label=\"Data\")\n",
    "plt.plot(anual['year'],anual['MA'], marker='o', color = 'red', label=\"Forecast\")\n",
    "\n",
    "plt.xlabel('Años')\n",
    "plt.ylabel('Ventas')\n",
    "plt.title('Series de Tiempo')\n",
    "plt.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Suavización Exponencial | StatsModels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\hp\\AppData\\Local\\Temp\\ipykernel_560\\755192111.py:1: FutureWarning: The default value of numeric_only in DataFrameGroupBy.sum is deprecated. In a future version, numeric_only will default to False. Either specify numeric_only or select only columns which should be valid for the function.\n",
      "  anual = df.groupby('year').sum()\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
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       "\n",
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       "        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>year</th>\n",
       "      <th>value</th>\n",
       "      <th>MA</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1991</td>\n",
       "      <td>21.442946</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1992</td>\n",
       "      <td>45.686946</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1993</td>\n",
       "      <td>55.532688</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1994</td>\n",
       "      <td>60.816080</td>\n",
       "      <td>40.887527</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1995</td>\n",
       "      <td>67.326599</td>\n",
       "      <td>54.011905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1996</td>\n",
       "      <td>77.397927</td>\n",
       "      <td>61.225122</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1997</td>\n",
       "      <td>85.131672</td>\n",
       "      <td>68.513535</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1998</td>\n",
       "      <td>93.310626</td>\n",
       "      <td>76.618732</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1999</td>\n",
       "      <td>105.959043</td>\n",
       "      <td>85.280075</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2000</td>\n",
       "      <td>122.496586</td>\n",
       "      <td>94.800447</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>2001</td>\n",
       "      <td>136.467442</td>\n",
       "      <td>107.255418</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>2002</td>\n",
       "      <td>149.066136</td>\n",
       "      <td>121.641023</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>2003</td>\n",
       "      <td>156.464261</td>\n",
       "      <td>136.010054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>2004</td>\n",
       "      <td>183.798935</td>\n",
       "      <td>147.332613</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2005</td>\n",
       "      <td>199.655595</td>\n",
       "      <td>163.109777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>2006</td>\n",
       "      <td>220.354676</td>\n",
       "      <td>179.972931</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>2007</td>\n",
       "      <td>265.718966</td>\n",
       "      <td>201.269735</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2008</td>\n",
       "      <td>135.036513</td>\n",
       "      <td>228.576412</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    year       value          MA\n",
       "0   1991   21.442946         NaN\n",
       "1   1992   45.686946         NaN\n",
       "2   1993   55.532688         NaN\n",
       "3   1994   60.816080   40.887527\n",
       "4   1995   67.326599   54.011905\n",
       "5   1996   77.397927   61.225122\n",
       "6   1997   85.131672   68.513535\n",
       "7   1998   93.310626   76.618732\n",
       "8   1999  105.959043   85.280075\n",
       "9   2000  122.496586   94.800447\n",
       "10  2001  136.467442  107.255418\n",
       "11  2002  149.066136  121.641023\n",
       "12  2003  156.464261  136.010054\n",
       "13  2004  183.798935  147.332613\n",
       "14  2005  199.655595  163.109777\n",
       "15  2006  220.354676  179.972931\n",
       "16  2007  265.718966  201.269735\n",
       "17  2008  135.036513  228.576412"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "anual = df.groupby('year').sum()\n",
    "anual = anual.reset_index()\n",
    "anual['MA'] = anual['value'].rolling(window=3).mean().shift()\n",
    "anual"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.api import SimpleExpSmoothing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "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>year</th>\n",
       "      <th>value</th>\n",
       "      <th>MA</th>\n",
       "      <th>ES</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1991</td>\n",
       "      <td>21.442946</td>\n",
       "      <td>NaN</td>\n",
       "      <td>21.442946</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1992</td>\n",
       "      <td>45.686946</td>\n",
       "      <td>NaN</td>\n",
       "      <td>21.442946</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1993</td>\n",
       "      <td>55.532688</td>\n",
       "      <td>NaN</td>\n",
       "      <td>33.564946</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1994</td>\n",
       "      <td>60.816080</td>\n",
       "      <td>40.887527</td>\n",
       "      <td>44.548817</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1995</td>\n",
       "      <td>67.326599</td>\n",
       "      <td>54.011905</td>\n",
       "      <td>52.682448</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1996</td>\n",
       "      <td>77.397927</td>\n",
       "      <td>61.225122</td>\n",
       "      <td>60.004524</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1997</td>\n",
       "      <td>85.131672</td>\n",
       "      <td>68.513535</td>\n",
       "      <td>68.701225</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1998</td>\n",
       "      <td>93.310626</td>\n",
       "      <td>76.618732</td>\n",
       "      <td>76.916448</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1999</td>\n",
       "      <td>105.959043</td>\n",
       "      <td>85.280075</td>\n",
       "      <td>85.113537</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>2000</td>\n",
       "      <td>122.496586</td>\n",
       "      <td>94.800447</td>\n",
       "      <td>95.536290</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>2001</td>\n",
       "      <td>136.467442</td>\n",
       "      <td>107.255418</td>\n",
       "      <td>109.016438</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>2002</td>\n",
       "      <td>149.066136</td>\n",
       "      <td>121.641023</td>\n",
       "      <td>122.741940</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>2003</td>\n",
       "      <td>156.464261</td>\n",
       "      <td>136.010054</td>\n",
       "      <td>135.904038</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>2004</td>\n",
       "      <td>183.798935</td>\n",
       "      <td>147.332613</td>\n",
       "      <td>146.184150</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>2005</td>\n",
       "      <td>199.655595</td>\n",
       "      <td>163.109777</td>\n",
       "      <td>164.991542</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>2006</td>\n",
       "      <td>220.354676</td>\n",
       "      <td>179.972931</td>\n",
       "      <td>182.323569</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>2007</td>\n",
       "      <td>265.718966</td>\n",
       "      <td>201.269735</td>\n",
       "      <td>201.339122</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>2008</td>\n",
       "      <td>135.036513</td>\n",
       "      <td>228.576412</td>\n",
       "      <td>233.529044</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    year       value          MA          ES\n",
       "0   1991   21.442946         NaN   21.442946\n",
       "1   1992   45.686946         NaN   21.442946\n",
       "2   1993   55.532688         NaN   33.564946\n",
       "3   1994   60.816080   40.887527   44.548817\n",
       "4   1995   67.326599   54.011905   52.682448\n",
       "5   1996   77.397927   61.225122   60.004524\n",
       "6   1997   85.131672   68.513535   68.701225\n",
       "7   1998   93.310626   76.618732   76.916448\n",
       "8   1999  105.959043   85.280075   85.113537\n",
       "9   2000  122.496586   94.800447   95.536290\n",
       "10  2001  136.467442  107.255418  109.016438\n",
       "11  2002  149.066136  121.641023  122.741940\n",
       "12  2003  156.464261  136.010054  135.904038\n",
       "13  2004  183.798935  147.332613  146.184150\n",
       "14  2005  199.655595  163.109777  164.991542\n",
       "15  2006  220.354676  179.972931  182.323569\n",
       "16  2007  265.718966  201.269735  201.339122\n",
       "17  2008  135.036513  228.576412  233.529044"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mod = SimpleExpSmoothing(anual['value']).fit(smoothing_level = 0.5, optimized=False)\n",
    "anual['ES'] = mod.fittedvalues\n",
    "anual "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(anual['year'],anual['value'], marker='o', color = 'black', label=\"Data\")\n",
    "plt.plot(anual['year'],anual['MA'], marker='o', color = 'red', label=\"MA\")\n",
    "plt.plot(anual['year'],anual['ES'], marker='o', color = 'green', label=\"ES\")\n",
    "\n",
    "plt.xlabel('Años')\n",
    "plt.ylabel('Ventas')\n",
    "plt.title('Series de Tiempo')\n",
    "plt.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Error | Sklearn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import mean_squared_error as MSE "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_true = anual['value']\n",
    "\n",
    "y_ma = anual['MA']\n",
    "y_es = anual['ES']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# MSE media movil\n",
    "MSE = (y_true[3:] , y_ma.dropna())\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "# MSe suavisación exponencial\n",
    "MSE = (y_true , y_ma)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>SimpleExpSmoothing Model Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>           <td>value</td>       <th>  No. Observations:  </th>        <td>18</td>       \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>            <td>SimpleExpSmoothing</td> <th>  SSE                </th>     <td>23329.700</td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Optimized:</th>               <td>False</td>       <th>  AIC                </th>      <td>133.008</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Trend:</th>                   <td>None</td>        <th>  BIC                </th>      <td>134.789</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Seasonal:</th>                <td>None</td>        <th>  AICC               </th>      <td>136.085</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Seasonal Periods:</th>        <td>None</td>        <th>  Date:              </th> <td>Wed, 19 Apr 2023</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Box-Cox:</th>                 <td>False</td>       <th>  Time:              </th>     <td>19:04:23</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Box-Cox Coeff.:</th>          <td>None</td>        <th>                     </th>         <td> </td>       \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "         <td></td>                 <th>coeff</th>                <th>code</th>               <th>optimized</th>     \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>smoothing_level</th> <td>           0.5000000</td> <td>               alpha</td> <td>               False</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>initial_level</th>   <td>           21.442946</td> <td>                 l.0</td> <td>               False</td>\n",
       "</tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                       SimpleExpSmoothing Model Results                       \n",
       "==============================================================================\n",
       "Dep. Variable:                  value   No. Observations:                   18\n",
       "Model:             SimpleExpSmoothing   SSE                          23329.700\n",
       "Optimized:                      False   AIC                            133.008\n",
       "Trend:                           None   BIC                            134.789\n",
       "Seasonal:                        None   AICC                           136.085\n",
       "Seasonal Periods:                None   Date:                 Wed, 19 Apr 2023\n",
       "Box-Cox:                        False   Time:                         19:04:23\n",
       "Box-Cox Coeff.:                  None                                         \n",
       "==============================================================================\n",
       "                       coeff                 code              optimized      \n",
       "------------------------------------------------------------------------------\n",
       "smoothing_level            0.5000000                alpha                False\n",
       "initial_level              21.442946                  l.0                False\n",
       "------------------------------------------------------------------------------\n",
       "\"\"\""
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mod.summary()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Forecast | Exponential Smoothing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "18    184.282778\n",
       "19    184.282778\n",
       "20    184.282778\n",
       "21    184.282778\n",
       "22    184.282778\n",
       "dtype: float64"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pred = mod.forecast(5)\n",
    "pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(anual.index,anual['value'], marker='o', color = 'black', label=\"Data\")\n",
    "plt.plot(anual.index,anual['ES'], marker='o', color = 'red', label=\"ES\")\n",
    "plt.plot(pred, marker='o', color = 'green', label=\"Pred\")\n",
    "\n",
    "plt.xlabel('Años')\n",
    "plt.ylabel('Ventas')\n",
    "plt.title('Series de Tiempo')\n",
    "plt.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0      21.442946\n",
       "1      21.442946\n",
       "2      33.564946\n",
       "3      44.548817\n",
       "4      52.682448\n",
       "5      60.004524\n",
       "6      68.701225\n",
       "7      76.916448\n",
       "8      85.113537\n",
       "9      95.536290\n",
       "10    109.016438\n",
       "11    122.741940\n",
       "12    135.904038\n",
       "13    146.184150\n",
       "14    164.991542\n",
       "15    182.323569\n",
       "16    201.339122\n",
       "17    233.529044\n",
       "18    184.282778\n",
       "19    184.282778\n",
       "20    184.282778\n",
       "21    184.282778\n",
       "22    184.282778\n",
       "dtype: float64"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expo_s = pd.concat([anual['ES'], pred])\n",
    "expo_s"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(anual.index,anual['value'], marker='o', color = 'black', label=\"Data\")\n",
    "plt.plot(expo_s, marker='o', color = 'red', label=\"ES\")\n",
    "\n",
    "\n",
    "plt.xlabel('Años')\n",
    "plt.ylabel('Ventas')\n",
    "plt.title('Series de Tiempo')\n",
    "plt.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Suavización Exponencial | StatsModels | Aplicando los conceptos"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "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>date</th>\n",
       "      <th>value</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1991-07-01</td>\n",
       "      <td>3.526591</td>\n",
       "      <td>1991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1991-08-01</td>\n",
       "      <td>3.180891</td>\n",
       "      <td>1991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1991-09-01</td>\n",
       "      <td>3.252221</td>\n",
       "      <td>1991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1991-10-01</td>\n",
       "      <td>3.611003</td>\n",
       "      <td>1991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1991-11-01</td>\n",
       "      <td>3.565869</td>\n",
       "      <td>1991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>199</th>\n",
       "      <td>2008-02-01</td>\n",
       "      <td>21.654285</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200</th>\n",
       "      <td>2008-03-01</td>\n",
       "      <td>18.264945</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>201</th>\n",
       "      <td>2008-04-01</td>\n",
       "      <td>23.107677</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>202</th>\n",
       "      <td>2008-05-01</td>\n",
       "      <td>22.912510</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>203</th>\n",
       "      <td>2008-06-01</td>\n",
       "      <td>19.431740</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>204 rows × 3 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "          date      value  year\n",
       "0   1991-07-01   3.526591  1991\n",
       "1   1991-08-01   3.180891  1991\n",
       "2   1991-09-01   3.252221  1991\n",
       "3   1991-10-01   3.611003  1991\n",
       "4   1991-11-01   3.565869  1991\n",
       "..         ...        ...   ...\n",
       "199 2008-02-01  21.654285  2008\n",
       "200 2008-03-01  18.264945  2008\n",
       "201 2008-04-01  23.107677  2008\n",
       "202 2008-05-01  22.912510  2008\n",
       "203 2008-06-01  19.431740  2008\n",
       "\n",
       "[204 rows x 3 columns]"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "mod = SimpleExpSmoothing(df['value']).fit(smoothing_level=0.5, optimized=False)\n",
    "df['ES'] = mod.fittedvalues\n",
    "pred = mod.forecast(30)\n",
    "\n",
    "expo_s = pd.concat([df['ES'], pred])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE: 4.060010524676766\n",
      "MAPE: 0.1277276193446603\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import mean_squared_error as MSE \n",
    "from sklearn.metrics import mean_absolute_percentage_error as MAPE\n",
    "\n",
    "print(f'MSE: {MSE(df[\"value\"], df[\"ES\"])}')\n",
    "print(f'MAPE: {MAPE(df[\"value\"], df[\"ES\"])}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(df.index, df['value'], marker='o', color = 'black', label=\"Data\")\n",
    "plt.plot(expo_s, marker='o', color = 'Green', label=\"ES\")\n",
    "\n",
    "\n",
    "plt.xlabel('Años')\n",
    "plt.ylabel('Ventas')\n",
    "plt.title('Series de Tiempo')\n",
    "plt.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.4"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}