Exploratory_Data_Analysis_Appendix.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3. Exploratory Data Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Appendices"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "df=pd.read_csv('StormDatasetFinal.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Describe Numerical Variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Lat</th>\n",
       "      <th>Lon</th>\n",
       "      <th>Wind</th>\n",
       "      <th>Pressure</th>\n",
       "      <th>TimeSinceStart</th>\n",
       "      <th>Duration</th>\n",
       "      <th>StartLat</th>\n",
       "      <th>StartLon</th>\n",
       "      <th>StartWind</th>\n",
       "      <th>StartPressure</th>\n",
       "      <th>EndLat</th>\n",
       "      <th>EndLon</th>\n",
       "      <th>EndWind</th>\n",
       "      <th>EndPressure</th>\n",
       "      <th>MinWind</th>\n",
       "      <th>MaxWind</th>\n",
       "      <th>MinPressure</th>\n",
       "      <th>MaxPressure</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>10448.000000</td>\n",
       "      <td>10448.000000</td>\n",
       "      <td>10448.000000</td>\n",
       "      <td>10448.000000</td>\n",
       "      <td>1.044800e+04</td>\n",
       "      <td>1.044800e+04</td>\n",
       "      <td>10448.000000</td>\n",
       "      <td>10448.000000</td>\n",
       "      <td>10448.000000</td>\n",
       "      <td>10448.000000</td>\n",
       "      <td>10448.000000</td>\n",
       "      <td>10448.000000</td>\n",
       "      <td>10448.000000</td>\n",
       "      <td>10448.000000</td>\n",
       "      <td>10448.000000</td>\n",
       "      <td>10448.000000</td>\n",
       "      <td>10448.000000</td>\n",
       "      <td>10448.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>26.339333</td>\n",
       "      <td>-59.491049</td>\n",
       "      <td>54.967171</td>\n",
       "      <td>994.539338</td>\n",
       "      <td>4.416503e+05</td>\n",
       "      <td>8.829572e+05</td>\n",
       "      <td>18.389644</td>\n",
       "      <td>-51.219698</td>\n",
       "      <td>30.790295</td>\n",
       "      <td>1008.870310</td>\n",
       "      <td>38.184475</td>\n",
       "      <td>-52.622621</td>\n",
       "      <td>37.915582</td>\n",
       "      <td>1000.966214</td>\n",
       "      <td>27.310490</td>\n",
       "      <td>91.314319</td>\n",
       "      <td>973.897109</td>\n",
       "      <td>1010.346478</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>10.248518</td>\n",
       "      <td>21.845103</td>\n",
       "      <td>27.678624</td>\n",
       "      <td>18.355330</td>\n",
       "      <td>3.635768e+05</td>\n",
       "      <td>4.439362e+05</td>\n",
       "      <td>8.336057</td>\n",
       "      <td>24.303520</td>\n",
       "      <td>8.434464</td>\n",
       "      <td>3.536614</td>\n",
       "      <td>12.354598</td>\n",
       "      <td>27.904712</td>\n",
       "      <td>15.242859</td>\n",
       "      <td>12.575154</td>\n",
       "      <td>7.419462</td>\n",
       "      <td>38.792699</td>\n",
       "      <td>27.046395</td>\n",
       "      <td>3.442950</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>7.500000</td>\n",
       "      <td>-120.500000</td>\n",
       "      <td>17.000000</td>\n",
       "      <td>908.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>6.480000e+04</td>\n",
       "      <td>7.500000</td>\n",
       "      <td>-97.400000</td>\n",
       "      <td>17.000000</td>\n",
       "      <td>988.000000</td>\n",
       "      <td>9.100000</td>\n",
       "      <td>-120.500000</td>\n",
       "      <td>17.000000</td>\n",
       "      <td>960.000000</td>\n",
       "      <td>17.000000</td>\n",
       "      <td>29.000000</td>\n",
       "      <td>908.000000</td>\n",
       "      <td>1001.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>17.700000</td>\n",
       "      <td>-76.590250</td>\n",
       "      <td>35.000000</td>\n",
       "      <td>988.000000</td>\n",
       "      <td>1.620000e+05</td>\n",
       "      <td>5.400000e+05</td>\n",
       "      <td>12.000000</td>\n",
       "      <td>-74.825000</td>\n",
       "      <td>23.000000</td>\n",
       "      <td>1007.000000</td>\n",
       "      <td>30.700000</td>\n",
       "      <td>-73.300000</td>\n",
       "      <td>29.000000</td>\n",
       "      <td>995.000000</td>\n",
       "      <td>23.000000</td>\n",
       "      <td>58.000000</td>\n",
       "      <td>955.000000</td>\n",
       "      <td>1008.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>26.087000</td>\n",
       "      <td>-60.439500</td>\n",
       "      <td>46.000000</td>\n",
       "      <td>1002.000000</td>\n",
       "      <td>3.456000e+05</td>\n",
       "      <td>8.640000e+05</td>\n",
       "      <td>15.200000</td>\n",
       "      <td>-46.400000</td>\n",
       "      <td>29.000000</td>\n",
       "      <td>1009.000000</td>\n",
       "      <td>38.200000</td>\n",
       "      <td>-52.900000</td>\n",
       "      <td>35.000000</td>\n",
       "      <td>1005.000000</td>\n",
       "      <td>29.000000</td>\n",
       "      <td>86.000000</td>\n",
       "      <td>979.000000</td>\n",
       "      <td>1010.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>33.100000</td>\n",
       "      <td>-42.462750</td>\n",
       "      <td>69.000000</td>\n",
       "      <td>1007.000000</td>\n",
       "      <td>6.372000e+05</td>\n",
       "      <td>1.144800e+06</td>\n",
       "      <td>25.100000</td>\n",
       "      <td>-32.000000</td>\n",
       "      <td>35.000000</td>\n",
       "      <td>1010.000000</td>\n",
       "      <td>45.800000</td>\n",
       "      <td>-30.900000</td>\n",
       "      <td>46.000000</td>\n",
       "      <td>1010.000000</td>\n",
       "      <td>29.000000</td>\n",
       "      <td>115.000000</td>\n",
       "      <td>998.000000</td>\n",
       "      <td>1012.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>69.000000</td>\n",
       "      <td>5.300000</td>\n",
       "      <td>184.000000</td>\n",
       "      <td>1021.000000</td>\n",
       "      <td>2.052000e+06</td>\n",
       "      <td>2.052000e+06</td>\n",
       "      <td>41.200000</td>\n",
       "      <td>-9.600000</td>\n",
       "      <td>63.000000</td>\n",
       "      <td>1021.000000</td>\n",
       "      <td>69.000000</td>\n",
       "      <td>5.300000</td>\n",
       "      <td>98.000000</td>\n",
       "      <td>1020.000000</td>\n",
       "      <td>58.000000</td>\n",
       "      <td>184.000000</td>\n",
       "      <td>1012.000000</td>\n",
       "      <td>1021.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                Lat           Lon          Wind      Pressure  TimeSinceStart  \\\n",
       "count  10448.000000  10448.000000  10448.000000  10448.000000    1.044800e+04   \n",
       "mean      26.339333    -59.491049     54.967171    994.539338    4.416503e+05   \n",
       "std       10.248518     21.845103     27.678624     18.355330    3.635768e+05   \n",
       "min        7.500000   -120.500000     17.000000    908.000000    0.000000e+00   \n",
       "25%       17.700000    -76.590250     35.000000    988.000000    1.620000e+05   \n",
       "50%       26.087000    -60.439500     46.000000   1002.000000    3.456000e+05   \n",
       "75%       33.100000    -42.462750     69.000000   1007.000000    6.372000e+05   \n",
       "max       69.000000      5.300000    184.000000   1021.000000    2.052000e+06   \n",
       "\n",
       "           Duration      StartLat      StartLon     StartWind  StartPressure  \\\n",
       "count  1.044800e+04  10448.000000  10448.000000  10448.000000   10448.000000   \n",
       "mean   8.829572e+05     18.389644    -51.219698     30.790295    1008.870310   \n",
       "std    4.439362e+05      8.336057     24.303520      8.434464       3.536614   \n",
       "min    6.480000e+04      7.500000    -97.400000     17.000000     988.000000   \n",
       "25%    5.400000e+05     12.000000    -74.825000     23.000000    1007.000000   \n",
       "50%    8.640000e+05     15.200000    -46.400000     29.000000    1009.000000   \n",
       "75%    1.144800e+06     25.100000    -32.000000     35.000000    1010.000000   \n",
       "max    2.052000e+06     41.200000     -9.600000     63.000000    1021.000000   \n",
       "\n",
       "             EndLat        EndLon       EndWind   EndPressure       MinWind  \\\n",
       "count  10448.000000  10448.000000  10448.000000  10448.000000  10448.000000   \n",
       "mean      38.184475    -52.622621     37.915582   1000.966214     27.310490   \n",
       "std       12.354598     27.904712     15.242859     12.575154      7.419462   \n",
       "min        9.100000   -120.500000     17.000000    960.000000     17.000000   \n",
       "25%       30.700000    -73.300000     29.000000    995.000000     23.000000   \n",
       "50%       38.200000    -52.900000     35.000000   1005.000000     29.000000   \n",
       "75%       45.800000    -30.900000     46.000000   1010.000000     29.000000   \n",
       "max       69.000000      5.300000     98.000000   1020.000000     58.000000   \n",
       "\n",
       "            MaxWind   MinPressure   MaxPressure  \n",
       "count  10448.000000  10448.000000  10448.000000  \n",
       "mean      91.314319    973.897109   1010.346478  \n",
       "std       38.792699     27.046395      3.442950  \n",
       "min       29.000000    908.000000   1001.000000  \n",
       "25%       58.000000    955.000000   1008.000000  \n",
       "50%       86.000000    979.000000   1010.000000  \n",
       "75%      115.000000    998.000000   1012.000000  \n",
       "max      184.000000   1012.000000   1021.000000  "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Describe Object Variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>NameYear</th>\n",
       "      <th>Season</th>\n",
       "      <th>StormType</th>\n",
       "      <th>MaxStrength</th>\n",
       "      <th>StartStormType</th>\n",
       "      <th>EndStormType</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>10448</td>\n",
       "      <td>10448</td>\n",
       "      <td>10425</td>\n",
       "      <td>10448</td>\n",
       "      <td>10448</td>\n",
       "      <td>10365</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>unique</th>\n",
       "      <td>175</td>\n",
       "      <td>4</td>\n",
       "      <td>14</td>\n",
       "      <td>5</td>\n",
       "      <td>7</td>\n",
       "      <td>7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>top</th>\n",
       "      <td>Nadine_2012</td>\n",
       "      <td>Autumn</td>\n",
       "      <td>Tropical Storm</td>\n",
       "      <td>Hurricane</td>\n",
       "      <td>Tropical Low</td>\n",
       "      <td>Extratropical</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>freq</th>\n",
       "      <td>191</td>\n",
       "      <td>6369</td>\n",
       "      <td>3760</td>\n",
       "      <td>6347</td>\n",
       "      <td>4996</td>\n",
       "      <td>4857</td>\n",
       "    </tr>\n",
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      ],
      "text/plain": [
       "           NameYear  Season       StormType MaxStrength StartStormType  \\\n",
       "count         10448   10448           10425       10448          10448   \n",
       "unique          175       4              14           5              7   \n",
       "top     Nadine_2012  Autumn  Tropical Storm   Hurricane   Tropical Low   \n",
       "freq            191    6369            3760        6347           4996   \n",
       "\n",
       "         EndStormType  \n",
       "count           10365  \n",
       "unique              7  \n",
       "top     Extratropical  \n",
       "freq             4857  "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe(include=np.object)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Correlation Matrix Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "corr = df.corr()\n",
    "ax = sns.heatmap(\n",
    "    corr, \n",
    "    vmin=-1, vmax=1, center=0,\n",
    "    cmap=sns.diverging_palette(20, 220, n=200),\n",
    "    square=True\n",
    ")\n",
    "\n",
    "ax.set_xticklabels(\n",
    "    ax.get_xticklabels(),\n",
    "    rotation=45,\n",
    "    horizontalalignment='right'\n",
    ");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x1440 with 20 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.hist(figsize=(16,20), bins=50, xlabelsize=8, ylabelsize=8);"
   ]
  }
 ],
 "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}