{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## PCA ##\n",
    "\n",
    "Explain the initial dataset\n",
    "\n",
    "What type of transformation was performed?\n",
    "\n",
    "What is the meaning of this transformation?\n",
    "\n",
    "What other type of processing may be performed?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "df=pd.read_csv(\"https://raw.githubusercontent.com/masterfloss/data/main/worlddata.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Country                                            object\n",
       "Area_km2                                            int64\n",
       "Birth rate(births/1000 population)                float64\n",
       "Current account balance                           float64\n",
       "Death rate(deaths/1000 population)                float64\n",
       "Debt - external                                   float64\n",
       "Electricity - consumption(kWh)                    float64\n",
       "Electricity - production(kWh)                     float64\n",
       "Exports                                           float64\n",
       "GDP                                                object\n",
       "GDPpercapita                                      float64\n",
       "GDP - real growth rate(%)                         float64\n",
       "HIV/AIDS - adult prevalence rate(%)               float64\n",
       "HIV/AIDS - deaths                                 float64\n",
       "HIV/AIDS - people living with HIV/AIDS            float64\n",
       "Highways(km)                                      float64\n",
       "Imports                                           float64\n",
       "Industrial production growth rate(%)              float64\n",
       "Infant mortality rate(deaths/1000 live births)    float64\n",
       "Inflation rate (consumer prices)(%)               float64\n",
       "Internet hosts                                    float64\n",
       "Internet users                                    float64\n",
       "Investment (gross fixed)(% of GDP)                float64\n",
       "Labor force                                       float64\n",
       "Life expectancy at birth(years)                   float64\n",
       "Military expenditures - dollar figure             float64\n",
       "MilitPercentGDP                                   float64\n",
       "Natural gas - consumption(cu m)                   float64\n",
       "Natural gas - exports(cu m)                       float64\n",
       "Natural gas - imports(cu m)                       float64\n",
       "Natural gas - production(cu m)                    float64\n",
       "Natural gas - proved reserves(cu m)               float64\n",
       "Oil - consumption(bbl/day)                        float64\n",
       "Oil - exports(bbl/day)                            float64\n",
       "Oil - imports(bbl/day)                            float64\n",
       "Oil - production(bbl/day)                         float64\n",
       "Oil - proved reserves(bbl)                        float64\n",
       "Population                                        float64\n",
       "Public debt(% of GDP)                             float64\n",
       "Railways(km)                                      float64\n",
       "Reserves of foreign exchange & gold               float64\n",
       "Telephones - main lines in use                    float64\n",
       "Telephones - mobile cellular                      float64\n",
       "Total fertility rate(children born/woman)         float64\n",
       "Unemploy rate(%)                                  float64\n",
       "dtype: object"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.dtypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['GDP']=pd.to_numeric(df['GDP'], downcast='float', errors='coerce')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(263, 45)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "df1=df\n",
    "#remove all columns that have more than 210 observations, df1[columns].count()<210\n",
    "for column1 in df1:\n",
    "    if df1[column1].count()<200:\n",
    "        df1=df1.drop([column1],axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "df1=df1.dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "df1=df1.drop(['Country'], axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "standardizer=StandardScaler()\n",
    "X=standardizer.fit_transform(df1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "PCAModel = PCA(n_components=4)\n",
    "XPCA = PCAModel.fit_transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Original number of features: 23\n",
      "Reduced number of features: 4\n"
     ]
    }
   ],
   "source": [
    "\n",
    "print('Original number of features:', X.shape[1])\n",
    "print('Reduced number of features:', XPCA.shape[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.47834598, 0.1899588 , 0.07468206, 0.05152297])"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "PCAModel.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['Area_km2',\n",
       " 'Birth rate(births/1000 population)',\n",
       " 'Death rate(deaths/1000 population)',\n",
       " 'Debt - external',\n",
       " 'Electricity - consumption(kWh)',\n",
       " 'Electricity - production(kWh)',\n",
       " 'Exports',\n",
       " 'GDP',\n",
       " 'GDPpercapita',\n",
       " 'GDP - real growth rate(%)',\n",
       " 'Highways(km)',\n",
       " 'Imports',\n",
       " 'Infant mortality rate(deaths/1000 live births)',\n",
       " 'Inflation rate (consumer prices)(%)',\n",
       " 'Internet users',\n",
       " 'Labor force',\n",
       " 'Life expectancy at birth(years)',\n",
       " 'Oil - consumption(bbl/day)',\n",
       " 'Oil - production(bbl/day)',\n",
       " 'Population',\n",
       " 'Telephones - main lines in use',\n",
       " 'Telephones - mobile cellular',\n",
       " 'Total fertility rate(children born/woman)']"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "compScores=PCAModel.components_.T\n",
    "columnList = list (df1.columns.values)\n",
    "columnList"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "#dfscores=pd.DataFrame(compScores, columns=columnList)\n",
    "dfscores=pd.DataFrame(compScores)\n",
    "dfscores['variables']=columnList\n",
    "dfscores=dfscores.set_index('variables')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
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       "        }</style><table id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53\" ><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >0</th>        <th class=\"col_heading level0 col1\" >1</th>        <th class=\"col_heading level0 col2\" >2</th>        <th class=\"col_heading level0 col3\" >3</th>    </tr>    <tr>        <th class=\"index_name level0\" >variables</th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row0\" class=\"row_heading level0 row0\" >Area_km2</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row0_col0\" class=\"data row0 col0\" >0.196918</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row0_col1\" class=\"data row0 col1\" >0.078018</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row0_col2\" class=\"data row0 col2\" >0.050004</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row0_col3\" class=\"data row0 col3\" >0.318586</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row1\" class=\"row_heading level0 row1\" >Birth rate(births/1000 population)</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row1_col0\" class=\"data row1 col0\" >-0.089315</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row1_col1\" class=\"data row1 col1\" >0.409577</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row1_col2\" class=\"data row1 col2\" >-0.064021</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row1_col3\" class=\"data row1 col3\" >0.092177</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row2\" class=\"row_heading level0 row2\" >Death rate(deaths/1000 population)</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row2_col0\" class=\"data row2 col0\" >-0.048461</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row2_col1\" class=\"data row2 col1\" >0.328146</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row2_col2\" class=\"data row2 col2\" >-0.200144</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row2_col3\" class=\"data row2 col3\" >-0.244899</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row3\" class=\"row_heading level0 row3\" >Debt - external</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row3_col0\" class=\"data row3 col0\" >0.130537</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row3_col1\" class=\"data row3 col1\" >-0.045956</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row3_col2\" class=\"data row3 col2\" >-0.295037</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row3_col3\" class=\"data row3 col3\" >-0.172489</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row4\" class=\"row_heading level0 row4\" >Electricity - consumption(kWh)</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row4_col0\" class=\"data row4 col0\" >0.288651</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row4_col1\" class=\"data row4 col1\" >0.062448</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row4_col2\" class=\"data row4 col2\" >-0.119725</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row4_col3\" class=\"data row4 col3\" >0.055438</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row5\" class=\"row_heading level0 row5\" >Electricity - production(kWh)</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row5_col0\" class=\"data row5 col0\" >0.290630</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row5_col1\" class=\"data row5 col1\" >0.064372</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row5_col2\" class=\"data row5 col2\" >-0.097005</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row5_col3\" class=\"data row5 col3\" >0.044311</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row6\" class=\"row_heading level0 row6\" >Exports</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row6_col0\" class=\"data row6 col0\" >0.274613</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row6_col1\" class=\"data row6 col1\" >-0.031945</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row6_col2\" class=\"data row6 col2\" >-0.120021</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row6_col3\" class=\"data row6 col3\" >-0.073495</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row7\" class=\"row_heading level0 row7\" >GDP</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row7_col0\" class=\"data row7 col0\" >0.294102</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row7_col1\" class=\"data row7 col1\" >0.072188</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row7_col2\" class=\"data row7 col2\" >-0.012551</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row7_col3\" class=\"data row7 col3\" >-0.040399</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row8\" class=\"row_heading level0 row8\" >GDPpercapita</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row8_col0\" class=\"data row8 col0\" >0.108571</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row8_col1\" class=\"data row8 col1\" >-0.304671</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row8_col2\" class=\"data row8 col2\" >-0.237989</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row8_col3\" class=\"data row8 col3\" >-0.117714</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row9\" class=\"row_heading level0 row9\" >GDP - real growth rate(%)</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row9_col0\" class=\"data row9 col0\" >0.016927</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row9_col1\" class=\"data row9 col1\" >0.009405</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row9_col2\" class=\"data row9 col2\" >0.168792</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row9_col3\" class=\"data row9 col3\" >0.633484</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row10\" class=\"row_heading level0 row10\" >Highways(km)</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row10_col0\" class=\"data row10 col0\" >0.270373</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row10_col1\" class=\"data row10 col1\" >0.068151</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row10_col2\" class=\"data row10 col2\" >-0.109271</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row10_col3\" class=\"data row10 col3\" >0.039071</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row11\" class=\"row_heading level0 row11\" >Imports</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row11_col0\" class=\"data row11 col0\" >0.278818</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row11_col1\" class=\"data row11 col1\" >-0.001610</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row11_col2\" class=\"data row11 col2\" >-0.235177</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row11_col3\" class=\"data row11 col3\" >-0.070954</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row12\" class=\"row_heading level0 row12\" >Infant mortality rate(deaths/1000 live births)</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row12_col0\" class=\"data row12 col0\" >-0.078195</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row12_col1\" class=\"data row12 col1\" >0.430071</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row12_col2\" class=\"data row12 col2\" >-0.051599</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row12_col3\" class=\"data row12 col3\" >0.018524</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row13\" class=\"row_heading level0 row13\" >Inflation rate (consumer prices)(%)</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row13_col0\" class=\"data row13 col0\" >-0.027746</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row13_col1\" class=\"data row13 col1\" >0.174029</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row13_col2\" class=\"data row13 col2\" >-0.056930</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row13_col3\" class=\"data row13 col3\" >0.000404</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row14\" class=\"row_heading level0 row14\" >Internet users</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row14_col0\" class=\"data row14 col0\" >0.289896</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row14_col1\" class=\"data row14 col1\" >0.055756</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row14_col2\" class=\"data row14 col2\" >-0.071564</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row14_col3\" class=\"data row14 col3\" >-0.066624</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row15\" class=\"row_heading level0 row15\" >Labor force</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row15_col0\" class=\"data row15 col0\" >0.199585</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row15_col1\" class=\"data row15 col1\" >0.113688</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row15_col2\" class=\"data row15 col2\" >0.508396</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row15_col3\" class=\"data row15 col3\" >-0.150078</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row16\" class=\"row_heading level0 row16\" >Life expectancy at birth(years)</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row16_col0\" class=\"data row16 col0\" >0.083859</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row16_col1\" class=\"data row16 col1\" >-0.431921</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row16_col2\" class=\"data row16 col2\" >0.094147</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row16_col3\" class=\"data row16 col3\" >0.106816</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row17\" class=\"row_heading level0 row17\" >Oil - consumption(bbl/day)</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row17_col0\" class=\"data row17 col0\" >0.276043</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row17_col1\" class=\"data row17 col1\" >0.047094</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row17_col2\" class=\"data row17 col2\" >-0.216795</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row17_col3\" class=\"data row17 col3\" >0.076420</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row18\" class=\"row_heading level0 row18\" >Oil - production(bbl/day)</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row18_col0\" class=\"data row18 col0\" >0.184365</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row18_col1\" class=\"data row18 col1\" >0.026926</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row18_col2\" class=\"data row18 col2\" >-0.100888</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row18_col3\" class=\"data row18 col3\" >0.512215</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row19\" class=\"row_heading level0 row19\" >Population</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row19_col0\" class=\"data row19 col0\" >0.194928</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row19_col1\" class=\"data row19 col1\" >0.118476</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row19_col2\" class=\"data row19 col2\" >0.500456</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row19_col3\" class=\"data row19 col3\" >-0.129348</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row20\" class=\"row_heading level0 row20\" >Telephones - main lines in use</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row20_col0\" class=\"data row20 col0\" >0.276921</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row20_col1\" class=\"data row20 col1\" >0.078700</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row20_col2\" class=\"data row20 col2\" >0.203591</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row20_col3\" class=\"data row20 col3\" >-0.102200</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row21\" class=\"row_heading level0 row21\" >Telephones - mobile cellular</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row21_col0\" class=\"data row21 col0\" >0.267611</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row21_col1\" class=\"data row21 col1\" >0.057041</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row21_col2\" class=\"data row21 col2\" >0.199527</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row21_col3\" class=\"data row21 col3\" >-0.159440</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53level0_row22\" class=\"row_heading level0 row22\" >Total fertility rate(children born/woman)</th>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row22_col0\" class=\"data row22 col0\" >-0.083487</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row22_col1\" class=\"data row22 col1\" >0.400337</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row22_col2\" class=\"data row22 col2\" >-0.091452</td>\n",
       "                        <td id=\"T_4059bf40_2eb4_11eb_a525_6045cbc30d53row22_col3\" class=\"data row22 col3\" >0.083502</td>\n",
       "            </tr>\n",
       "    </tbody></table>"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x244164a2908>"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def selectColor(val):\n",
    "    if (val > 0.25 or val<-0.25):\n",
    "        color = 'red' \n",
    "    else:\n",
    "        color = 'black'\n",
    "    return 'color: %s' % color\n",
    "\n",
    "df_pintado = dfscores.style.applymap(selectColor)\n",
    "df_pintado"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[-1.88576998e+00  5.20264054e+00 -6.87254154e-01  1.62418637e-01]\n",
      " [-7.34929255e-01 -1.41402718e+00  5.40786078e-01  2.45319708e-01]\n",
      " [ 1.05844480e-02 -1.00301604e+00  5.04663624e-01  1.04577475e+00]\n",
      " [-1.83325846e+00  6.37517684e+00 -1.18690695e+00  8.76912644e-01]\n",
      " [-7.88442514e-01 -1.33927879e+00  2.23418275e-01 -1.95169163e-01]\n",
      " [ 6.12135475e-01 -1.06794953e+00  3.07886706e-01  9.19881971e-01]\n",
      " [-7.43593504e-01 -1.29490609e+00  5.63807601e-01  4.43795555e-01]\n",
      " [-4.83432832e-01 -2.51297169e+00 -2.55500363e-01 -1.05994673e+00]\n",
      " [ 2.48227142e+00 -1.96143885e+00 -6.27728438e-01  6.15050683e-01]\n",
      " [ 6.15450992e-01 -2.55153607e+00 -5.89536541e-01 -1.01756285e+00]\n",
      " [-9.33467808e-01  4.98820381e-01  2.68640696e-01  6.90733684e-01]\n",
      " [-7.93198008e-01 -1.00401233e+00 -1.33289980e-01 -4.87513161e-01]\n",
      " [-6.14452800e-01 -1.61645017e+00  1.30936664e-01  1.66676208e-01]\n",
      " [-5.41999888e-01  1.06887613e+00  1.02328974e+00 -1.59577740e-01]\n",
      " [-6.75704864e-01 -1.67296281e+00  2.43150150e-03 -6.03882120e-01]\n",
      " [-5.10151442e-01 -7.54728350e-01  8.39576586e-02 -2.22230423e-01]\n",
      " [ 1.39524765e+00 -2.38073308e+00 -1.04445618e+00 -1.12248964e+00]\n",
      " [-1.06159687e+00 -7.41458940e-02  1.14834446e-01  4.15780203e-02]\n",
      " [-4.06967567e-01 -2.56203006e+00 -3.92846599e-01 -7.45901647e-01]\n",
      " [-8.98780684e-01  2.48397319e-01  2.33643048e-01  1.06921980e-01]\n",
      " [-7.03023718e-01 -1.31602995e+00  3.61710647e-01 -8.80760711e-02]\n",
      " [-1.37252211e+00  2.48904076e+00 -1.06072106e+00 -1.36820895e+00]\n",
      " [ 4.61735906e+00  3.27609787e-01  1.06326022e+00  1.28238304e+00]\n",
      " [-4.18232611e-01 -2.60308349e+00 -3.84871899e-01 -7.42889632e-01]\n",
      " [-5.44882694e-01 -1.95245252e+00 -1.80908935e-03 -1.10323436e-01]\n",
      " [-5.28147928e-01 -1.06046069e+00  1.08704376e-01 -4.11110659e-01]\n",
      " [-1.73984778e+00  3.83449848e+00 -6.33900784e-01 -2.14129133e-01]\n",
      " [-9.44106991e-01  8.29070826e-01  1.17837892e-01 -1.07432605e+00]\n",
      " [-1.68486253e+00  3.22724041e+00 -6.17687972e-01 -4.81454825e-01]\n",
      " [-1.17937315e+00  9.96437519e-01  1.65500233e-01  1.16709571e-01]\n",
      " [-1.34919571e+00  2.29003746e+00 -2.67241830e-01 -1.49962561e-01]\n",
      " [ 5.59528307e+00 -1.69118820e+00 -1.96363037e+00  1.51689391e+00]\n",
      " [-4.31082627e-01 -2.66350404e+00 -1.87184539e-01 -5.76705504e-01]\n",
      " [-7.09329217e-02 -1.57685434e+00  3.79385368e-01  1.67613162e-01]\n",
      " [ 2.18431048e+01  4.61643703e+00  1.05517487e+01 -2.91539251e+00]\n",
      " [-4.71850018e-02 -6.53082772e-01  5.14955060e-01  1.73950488e-01]\n",
      " [-1.44932951e+00  1.71816195e+00 -1.35720746e-01 -7.88346091e-02]\n",
      " [-1.29796945e+00  3.75277576e+00 -1.33088930e-01  6.87568227e-01]\n",
      " [-6.50713438e-01 -1.40545903e+00  3.15869813e-01  2.58373307e-02]\n",
      " [-1.42586957e+00  2.56966513e+00 -4.93362348e-01 -9.25997151e-01]\n",
      " [-4.75486118e-01 -1.66292842e+00  1.15017005e-01 -5.14030583e-01]\n",
      " [-5.91651857e-01 -1.60225802e+00  4.71734990e-01 -1.89545575e-01]\n",
      " [-7.02072033e-01 -1.68759667e+00  3.10896574e-01 -3.24517294e-01]\n",
      " [ 2.27883647e-01 -1.97307710e+00 -8.11469508e-02 -6.72832402e-01]\n",
      " [ 2.68425512e-01 -2.32932838e+00 -5.88261339e-01 -8.34888395e-01]\n",
      " [-1.75876309e+00  3.56055375e+00 -7.31431482e-01 -5.09452528e-01]\n",
      " [-8.20589541e-01 -1.38241104e+00  2.14627411e-01 -7.30104884e-01]\n",
      " [-4.81529936e-01 -8.53136923e-01  4.66674596e-01  6.43576531e-01]\n",
      " [ 1.22931929e-02 -1.51807799e-01  5.94673473e-01  4.28593840e-01]\n",
      " [-9.23895219e-01 -3.41726196e-01  1.91616395e-01 -1.99195447e-01]\n",
      " [-5.79745029e-01 -1.52585489e+00  2.76788494e-02 -3.23511166e-01]\n",
      " [-5.78385882e-01 -1.93841737e+00  1.60946783e-01  4.76100206e-01]\n",
      " [-9.08523921e-01 -8.17470691e-01  2.85294623e-01 -1.67535405e-02]\n",
      " [ 2.22206900e-01 -2.33625627e+00 -4.04448784e-01 -7.05468374e-01]\n",
      " [-1.29414749e+00  1.58602891e+00 -3.87252831e-01 -2.63750730e-01]\n",
      " [-1.53107658e+00  2.32791942e+00 -2.41866513e-01  2.51494378e-01]\n",
      " [-6.97354698e-01 -1.39435996e+00  6.23100757e-01  5.13987462e-01]\n",
      " [-1.06528441e+00  9.13704683e-01  1.23515175e-01 -6.27949581e-02]\n",
      " [ 1.35782427e-01 -2.15212395e+00 -1.08185960e-01 -6.18681445e-01]\n",
      " [-9.66509273e-01 -5.96173226e-01  1.85581939e-01 -2.89606744e-01]\n",
      " [-1.09110063e+00  7.51062375e-01  3.80876338e-02 -3.27137719e-02]\n",
      " [-1.65918991e+00  3.33475988e+00 -6.80330648e-01 -5.49742376e-01]\n",
      " [-1.68158845e+00  3.12151694e+00 -5.76347432e-01 -4.96866404e-01]\n",
      " [-9.46369102e-01 -4.86413891e-01  1.67777672e-01 -4.09097799e-01]\n",
      " [-1.55114727e+00  2.47739751e+00 -5.99641591e-01 -1.10206125e+00]\n",
      " [-1.09252979e+00  3.71598982e-01  1.68410771e-01  1.40289328e-01]\n",
      " [ 1.57616495e+00 -3.31933966e+00 -1.00289269e+00 -5.35548989e-01]\n",
      " [-1.45367888e-02 -1.46935321e+00 -1.90441911e-01 -7.25777510e-01]\n",
      " [-3.92973059e-01 -2.53799521e+00 -2.61855340e-01 -6.27858039e-01]\n",
      " [ 7.22145494e+00  3.07693240e+00  6.77383766e+00 -1.32198087e+00]\n",
      " [ 1.47847525e+00  1.77580174e-01  1.55772553e+00  1.41610112e-01]\n",
      " [ 1.12548567e+00 -3.49852219e-01  1.76777464e-01  1.88218813e+00]\n",
      " [-4.01411881e-01  1.06669913e+00  1.51198312e+00  7.49625477e+00]\n",
      " [ 1.99150240e-01 -2.33949465e+00 -4.26581894e-01 -4.06816438e-01]\n",
      " [-1.15176963e-01 -1.86909032e+00 -6.37078222e-02 -2.75451143e-01]\n",
      " [ 4.38655999e+00 -2.03560023e+00 -1.50888374e+00 -2.16383863e+00]\n",
      " [-7.45020565e-01 -1.28361105e+00  3.59199561e-01 -2.59757426e-01]\n",
      " [-7.31595852e-01 -1.21247384e+00  5.48597228e-01  3.96849036e-01]\n",
      " [-6.74367816e-02 -5.21079325e-01  2.65729492e-01  1.23142994e+00]\n",
      " [-1.35717371e+00  2.66178215e+00 -3.05583369e-01 -4.41145867e-01]\n",
      " [-1.29024037e+00  9.04791001e-01 -2.42082123e-02 -2.64048240e-01]\n",
      " [ 3.17618949e+00 -1.81339688e+00 -4.70493172e-01 -9.33104238e-01]\n",
      " [-7.29553810e-02 -1.66959721e+00 -6.77369448e-02  1.32659832e+00]\n",
      " [-9.53702322e-01 -2.41358680e-01  3.91968061e-01  2.97452514e-01]\n",
      " [-1.45505665e+00  2.28893573e+00 -2.02926305e-01  2.16872421e-01]\n",
      " [-5.96698107e-01 -1.37471571e+00  1.34327348e-01 -1.24918104e-01]\n",
      " [-7.61268431e-01 -1.05505688e+00  3.65368927e-01 -4.72250776e-02]\n",
      " [-1.57062353e+00  2.85974333e+00 -8.25509218e-01 -1.11450865e+00]\n",
      " [-3.37774685e-01 -6.23872558e-01  2.31216836e-01  1.23707786e+00]\n",
      " [-4.48171260e-01 -1.81615516e+00  2.27033769e-01 -1.31838486e-01]\n",
      " [-3.71449191e-01 -2.84641657e+00  7.35228243e-01  1.35143864e+00]\n",
      " [-7.05110658e-01 -1.56145784e+00  2.35192347e-01 -6.02148333e-01]\n",
      " [-1.43289234e+00  2.52715472e+00 -1.31850112e-01  3.25229383e-01]\n",
      " [-1.87315609e+00  4.51630531e+00 -9.33099559e-01 -6.17177465e-01]\n",
      " [ 5.43732869e-01 -7.53776818e-01  3.53936290e-02  5.29425877e-01]\n",
      " [-1.73342116e+00  4.27844313e+00 -7.15219124e-01 -1.14847344e-01]\n",
      " [-5.39347058e-01 -2.25510896e+00  2.94343633e-02 -7.15935576e-01]\n",
      " [-1.49136454e+00  2.68144182e+00 -4.03614505e-01  2.69259067e-03]\n",
      " [-7.11074816e-01 -1.44413210e+00  2.08531163e-01 -9.27528871e-02]\n",
      " [ 2.80434344e+00 -5.72609528e-01 -9.50743490e-02  1.09327085e+00]\n",
      " [-9.70625880e-01 -1.12034242e-01  2.14419296e-01 -2.42681912e-02]\n",
      " [-8.61664678e-01  1.21784241e-01  5.08421905e-01  1.06862775e+00]\n",
      " [-5.80960854e-01 -3.62869238e-01  4.99322601e-01  7.77263563e-02]\n",
      " [-1.62377320e+00  3.99114388e+00 -5.26723880e-01  3.80126660e-02]\n",
      " [-1.20097242e+00  1.56274893e+00 -4.74727845e-01 -5.04401610e-01]\n",
      " [-1.23084181e+00  1.32434431e+00  9.35868444e-02 -1.57712577e-01]\n",
      " [-7.04726632e-01 -1.67179735e+00  1.40187179e-01 -5.78088529e-01]\n",
      " [-1.50115786e-01 -2.13399365e+00 -6.82365334e-02 -2.06968497e-01]\n",
      " [-9.60836173e-01 -3.80003698e-01  3.77395762e-01  1.77101644e-01]\n",
      " [-1.82850048e+00  4.67617839e+00 -8.93326464e-01 -2.68469476e-01]\n",
      " [-5.81138637e-01  3.85420120e+00 -2.78328911e-02  7.70232297e-01]\n",
      " [ 9.14067752e-01 -2.58039170e+00 -9.21764969e-01  5.51332268e-01]\n",
      " [-8.53916473e-01  1.43448930e-01 -2.27334103e-01  3.04137142e-01]\n",
      " [-2.80145774e-01  1.47625519e+00  8.52432259e-01  2.04303845e-01]\n",
      " [-7.84819632e-01 -9.41556139e-01  3.44013173e-01  2.23194381e-01]\n",
      " [-1.13783842e+00  6.82720010e-01  2.95534997e-02 -2.28203964e-01]\n",
      " [-8.81466084e-01 -2.34903494e-01  2.51975318e-01  1.58963414e-01]\n",
      " [-4.27412819e-01 -4.81157945e-01  4.06160314e-01  1.96593444e-01]\n",
      " [ 9.12217974e-02 -1.52471102e-01  7.64705365e-01  8.48625891e-02]\n",
      " [ 9.58114931e-01 -1.43982616e+00  1.67996339e-01 -4.58383595e-01]\n",
      " [ 1.44479840e-01 -1.96725578e+00 -3.07973559e-01 -1.06822013e+00]\n",
      " [-4.35023237e-01 -1.66874666e+00  3.83453757e-02  7.76173112e-01]\n",
      " [-9.16666883e-02 -9.24628582e-01  2.82389128e-01  7.81245455e-02]\n",
      " [ 6.44753587e+00  7.63355950e-01 -2.47908233e-01  5.23439809e+00]\n",
      " [-1.67594326e+00  3.21006028e+00 -6.30581283e-01 -6.89650028e-01]\n",
      " [-8.62713962e-01 -1.09179230e+00 -1.77803813e-02 -9.46570575e-01]\n",
      " [-8.48210064e-01 -1.19045958e+00  3.75572580e-01 -4.19135066e-02]\n",
      " [-8.38683643e-01 -1.33454755e+00  3.68206109e-01 -4.47151224e-01]\n",
      " [-9.18317320e-01 -7.59572308e-01  3.05677192e-01  1.05815174e-01]\n",
      " [ 1.81473358e+00 -3.92553790e-01 -7.46451857e-01  4.14361485e+00]\n",
      " [-1.31571511e+00  1.59025415e+00 -9.98697114e-02 -1.24435352e-01]\n",
      " [-5.84479098e-01 -1.09534085e+00  4.54063646e-01  4.82397271e-02]\n",
      " [-8.05049168e-01 -1.33470598e+00  2.31152316e-01 -4.36450422e-01]\n",
      " [-1.87827660e+00  4.34675811e+00 -7.37005323e-01 -1.71487518e-01]\n",
      " [ 7.99563160e-01 -3.04271937e+00 -2.89632330e-01  5.52306546e-02]\n",
      " [-2.94662294e-01 -1.77233865e+00  9.48168760e-02 -2.77582154e-01]\n",
      " [-3.83879067e-01 -2.14307197e+00 -2.59806361e-02 -5.32925600e-01]\n",
      " [-1.09423202e+00 -3.43741401e-02  3.71727599e-01  5.74019481e-01]\n",
      " [ 1.96809931e-01  1.59590966e+00 -6.06750541e-01 -1.02281511e+00]\n",
      " [ 2.85862751e+00 -1.99754358e+00 -1.05352905e+00 -1.43165296e+00]\n",
      " [-6.64993570e-01 -1.20365366e+00  5.48975262e-01  5.78540839e-02]\n",
      " [-9.39458146e-01  1.80853842e+00  1.85334847e-01  8.28099157e-01]\n",
      " [-9.43565334e-01 -4.54258072e-01  2.07861770e-01 -1.76424442e-02]\n",
      " [-1.55957454e+00  2.80501872e+00 -9.28764074e-01 -1.24166410e+00]\n",
      " [ 9.03831016e-01 -2.32062812e+00 -5.74372110e-01 -7.31432496e-01]\n",
      " [-7.52547614e-01 -1.24372688e-01  2.36848315e-01  1.82006185e-01]\n",
      " [ 1.70659154e+00 -2.13277885e+00 -3.13064410e-01 -5.25771753e-01]\n",
      " [-1.30627710e+00  1.70578605e+00  2.20476741e-01  9.96613007e-01]\n",
      " [-1.41028187e+00  3.28055666e+00 -2.24073268e-01 -2.79974863e-02]\n",
      " [ 8.97941443e-01 -9.24326705e-01  6.03414339e-01 -1.34858414e-01]\n",
      " [-1.41292088e+00  1.83141266e+00 -2.19554284e-01 -2.64565779e-01]\n",
      " [-1.02081387e+00 -4.44696940e-01  2.33398006e-01 -2.03733809e-01]\n",
      " [-7.16844552e-01 -1.15369019e+00  1.68892544e-01 -6.01359883e-02]\n",
      " [-5.69874949e-01 -1.38112048e+00  4.58060832e-01  1.34835408e-01]\n",
      " [ 1.03665566e+00 -5.12227118e-01  7.20520144e-01  2.10313537e-01]\n",
      " [-1.07078159e+00  9.19078378e-01  5.63768210e-02  5.22113359e-01]\n",
      " [-1.55662067e+00  3.11219292e+00 -2.55820554e-01  1.58446292e-01]\n",
      " [ 2.05874787e-01 -3.48867160e-01  3.80717308e-01  3.46869244e-01]\n",
      " [ 2.06768168e-01 -1.66184785e+00 -3.64724780e-01  9.64816951e-01]\n",
      " [ 6.46121533e+00 -2.24351449e+00 -4.72296485e+00 -2.95501317e+00]\n",
      " [ 3.11932755e+01  3.12141809e+00 -7.80141695e+00  1.09179881e+00]\n",
      " [-5.88595316e-01 -1.51938458e+00  3.15005524e-01  5.40463287e-01]\n",
      " [-8.42478947e-01  6.55676604e-01  2.96120756e-01  1.29444423e-01]\n",
      " [ 2.68453626e-01 -6.28818599e-01  5.78791229e-01  2.80590240e+00]\n",
      " [-1.06550268e-01 -6.28268526e-01  9.98875891e-01  4.08624204e-01]\n",
      " [-1.33069836e+00  2.38814868e+00 -2.35028819e-01  2.34063061e-01]\n",
      " [-1.64452516e+00  3.93383145e+00 -7.49372117e-01 -3.24335934e-01]\n",
      " [-1.82174012e+00  4.82223769e+00 -1.77434236e+00 -2.53293667e+00]]\n"
     ]
    }
   ],
   "source": [
    "print(XPCA)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<memory at 0x0000024416084F28>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}