{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Linear regression using `statsmodels`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/data/anaconda3/lib/python3.6/site-packages/statsmodels/compat/pandas.py:56: FutureWarning: The pandas.core.datetools module is deprecated and will be removed in a future version. Please use the pandas.tseries module instead.\n",
      "  from pandas.core import datetools\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import statsmodels.formula.api as smf\n",
    "\n",
    "from statsmodels.graphics.gofplots import qqplot\n",
    "from statsmodels.graphics.tsaplots import plot_acf\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "sns.set(rc={\n",
    "    'figure.figsize': (8, 6),\n",
    "    'font.size': 14\n",
    "})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Read in the British Crime Survey 2007-2008 dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "bcs = pd.read_csv('https://github.com/estimand/teaching-datasets/raw/master/british-crime-survey/bcs.csv')"
   ]
  },
  {
   "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>case_id</th>\n",
       "      <th>sex</th>\n",
       "      <th>age</th>\n",
       "      <th>marital_status</th>\n",
       "      <th>ethnic_origin</th>\n",
       "      <th>education</th>\n",
       "      <th>paid_work_last_wk</th>\n",
       "      <th>years_in_area</th>\n",
       "      <th>same_address_last_year</th>\n",
       "      <th>tenure</th>\n",
       "      <th>...</th>\n",
       "      <th>worry_rape</th>\n",
       "      <th>worry_assault</th>\n",
       "      <th>worry_insult</th>\n",
       "      <th>worry_racism</th>\n",
       "      <th>crime_change_two_yrs</th>\n",
       "      <th>personal_crime</th>\n",
       "      <th>property_crime</th>\n",
       "      <th>antisocial_behaviour</th>\n",
       "      <th>nuisance_neighbours</th>\n",
       "      <th>victim_last_yr</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>61302140</td>\n",
       "      <td>F</td>\n",
       "      <td>36.0</td>\n",
       "      <td>Married</td>\n",
       "      <td>White</td>\n",
       "      <td>None</td>\n",
       "      <td>True</td>\n",
       "      <td>[10, 20)</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Buying with mortgage/loan</td>\n",
       "      <td>...</td>\n",
       "      <td>Not very worried</td>\n",
       "      <td>Not very worried</td>\n",
       "      <td>Fairly worried</td>\n",
       "      <td>Not very worried</td>\n",
       "      <td>A little more crime</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.117700</td>\n",
       "      <td>2.212788</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>61384060</td>\n",
       "      <td>M</td>\n",
       "      <td>44.0</td>\n",
       "      <td>Separated</td>\n",
       "      <td>White</td>\n",
       "      <td>Apprenticeship or A/AS Level</td>\n",
       "      <td>True</td>\n",
       "      <td>[0, 1)</td>\n",
       "      <td>False</td>\n",
       "      <td>Rent</td>\n",
       "      <td>...</td>\n",
       "      <td>Not at all worried</td>\n",
       "      <td>Not very worried</td>\n",
       "      <td>Not very worried</td>\n",
       "      <td>Not very worried</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-0.389274</td>\n",
       "      <td>2.139811</td>\n",
       "      <td>1.791787</td>\n",
       "      <td>-1.024336</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>63684260</td>\n",
       "      <td>M</td>\n",
       "      <td>43.0</td>\n",
       "      <td>Married</td>\n",
       "      <td>White</td>\n",
       "      <td>O Level / GCSE</td>\n",
       "      <td>True</td>\n",
       "      <td>[2, 3)</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Buying with mortgage/loan</td>\n",
       "      <td>...</td>\n",
       "      <td>Not at all worried</td>\n",
       "      <td>Not very worried</td>\n",
       "      <td>Not very worried</td>\n",
       "      <td>Not very worried</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-0.320777</td>\n",
       "      <td>0.506092</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>63790220</td>\n",
       "      <td>F</td>\n",
       "      <td>27.0</td>\n",
       "      <td>Single</td>\n",
       "      <td>Black or Black British</td>\n",
       "      <td>Apprenticeship or A/AS Level</td>\n",
       "      <td>True</td>\n",
       "      <td>[0, 1)</td>\n",
       "      <td>False</td>\n",
       "      <td>Rent</td>\n",
       "      <td>...</td>\n",
       "      <td>Fairly worried</td>\n",
       "      <td>Fairly worried</td>\n",
       "      <td>Not very worried</td>\n",
       "      <td>Not very worried</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.464605</td>\n",
       "      <td>1.602307</td>\n",
       "      <td>0.462970</td>\n",
       "      <td>0.822929</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>63843180</td>\n",
       "      <td>M</td>\n",
       "      <td>38.0</td>\n",
       "      <td>Married</td>\n",
       "      <td>White</td>\n",
       "      <td>Degree or Diploma</td>\n",
       "      <td>True</td>\n",
       "      <td>[10, 20)</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Buying with mortgage/loan</td>\n",
       "      <td>...</td>\n",
       "      <td>Not at all worried</td>\n",
       "      <td>Not very worried</td>\n",
       "      <td>Not very worried</td>\n",
       "      <td>Not very worried</td>\n",
       "      <td>A lot more crime</td>\n",
       "      <td>-0.117556</td>\n",
       "      <td>-0.657555</td>\n",
       "      <td>0.137419</td>\n",
       "      <td>-0.780199</td>\n",
       "      <td>True</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 33 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    case_id sex   age marital_status           ethnic_origin  \\\n",
       "0  61302140   F  36.0        Married                   White   \n",
       "1  61384060   M  44.0      Separated                   White   \n",
       "2  63684260   M  43.0        Married                   White   \n",
       "3  63790220   F  27.0         Single  Black or Black British   \n",
       "4  63843180   M  38.0        Married                   White   \n",
       "\n",
       "                      education paid_work_last_wk years_in_area  \\\n",
       "0                          None              True      [10, 20)   \n",
       "1  Apprenticeship or A/AS Level              True        [0, 1)   \n",
       "2                O Level / GCSE              True        [2, 3)   \n",
       "3  Apprenticeship or A/AS Level              True        [0, 1)   \n",
       "4             Degree or Diploma              True      [10, 20)   \n",
       "\n",
       "  same_address_last_year                     tenure      ...        \\\n",
       "0                    NaN  Buying with mortgage/loan      ...         \n",
       "1                  False                       Rent      ...         \n",
       "2                    NaN  Buying with mortgage/loan      ...         \n",
       "3                  False                       Rent      ...         \n",
       "4                    NaN  Buying with mortgage/loan      ...         \n",
       "\n",
       "           worry_rape     worry_assault      worry_insult      worry_racism  \\\n",
       "0    Not very worried  Not very worried    Fairly worried  Not very worried   \n",
       "1  Not at all worried  Not very worried  Not very worried  Not very worried   \n",
       "2  Not at all worried  Not very worried  Not very worried  Not very worried   \n",
       "3      Fairly worried    Fairly worried  Not very worried  Not very worried   \n",
       "4  Not at all worried  Not very worried  Not very worried  Not very worried   \n",
       "\n",
       "   crime_change_two_yrs personal_crime property_crime antisocial_behaviour  \\\n",
       "0   A little more crime            NaN            NaN             1.117700   \n",
       "1                   NaN      -0.389274       2.139811             1.791787   \n",
       "2                   NaN      -0.320777       0.506092                  NaN   \n",
       "3                   NaN       0.464605       1.602307             0.462970   \n",
       "4      A lot more crime      -0.117556      -0.657555             0.137419   \n",
       "\n",
       "  nuisance_neighbours victim_last_yr  \n",
       "0            2.212788          False  \n",
       "1           -1.024336          False  \n",
       "2                 NaN           True  \n",
       "3            0.822929           True  \n",
       "4           -0.780199           True  \n",
       "\n",
       "[5 rows x 33 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bcs.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define predictors and response."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "predictors = ['sex', 'age', 'marital_status', 'ethnic_origin', 'education', 'victim_last_yr']\n",
    "response = 'personal_crime'\n",
    "all_vars = predictors + [response]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Remove missing values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "bcs.dropna(subset=all_vars, inplace=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## EDA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fc9f7a37710>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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VDZ3ImGCASskzHcFErVJi5fWp6HG4sPOTCtHlENE5HoepbTYbLBbL4G2z2YyS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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc9f7a37e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(bcs['personal_crime'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fc9ee6dd630>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fca246e7fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.boxplot(x='sex', y='personal_crime', data=bcs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fc9ee6c8860>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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sTN3m+NfffTXcR+VCBg/ecwI3TY91vffkZFnag+y7g+zBrZiPuAepdXvov3s7/uN/fiX8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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fca2d061320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.regplot(x='age', y='personal_crime', data=bcs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fc9ee5e4630>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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7Ng8AgONxOB0AAIcixAEAcChCHAAAhyLEAQBwKEIcAACHIsQBAHAoQhwAAIci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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc9ee703ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.boxplot(x='marital_status', y='personal_crime', data=bcs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fc9ec0d2ac8>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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tjqVLlyoyMlKrVq264DQ+/vhjj9XjznIqPz+/2DJh0aJFOnr0qGu4N35zBL2b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\nBwDAxv4/c2CGv1WClCoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc9ee5965c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.boxplot(x='ethnic_origin', y='personal_crime', data=bcs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fc9ec092c88>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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0MezE3OkAADgUIQ4AgEMR4gAAOBQhDgCAQxHiAE5o06YftWnTj3aXAeAYnJ0O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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc9ee77b9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.boxplot(x='education', y='personal_crime', data=bcs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7fc9ec043898>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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pWrBggfLy8nTllVeqqqpKfr9fDzzwgNavX6+FCxeqW7duF5zvuHHjdNttt+nh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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc9ec0a4940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.boxplot(x='victim_last_yr', y='personal_crime', data=bcs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Linear regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = smf.glm(\n",
    "    'personal_crime ~ sex + age + marital_status + ethnic_origin + education + victim_last_yr',\n",
    "    data=bcs\n",
    ").fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Generalized Linear Model Regression Results</caption>\n",
       "<tr>\n",
       "  <th>Dep. Variable:</th>   <td>personal_crime</td>  <th>  No. Observations:  </th>     <td>  8382</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model:</th>                 <td>GLM</td>       <th>  Df Residuals:      </th>     <td>  8365</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Model Family:</th>       <td>Gaussian</td>     <th>  Df Model:          </th>     <td>    16</td>    \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Link Function:</th>      <td>identity</td>     <th>  Scale:             </th> <td>0.871317891544</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Method:</th>               <td>IRLS</td>       <th>  Log-Likelihood:    </th>    <td> -11308.</td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Date:</th>           <td>Sun, 03 Dec 2017</td> <th>  Deviance:          </th>    <td>  7288.6</td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Time:</th>               <td>13:23:26</td>     <th>  Pearson chi2:      </th>    <td>7.29e+03</td>   \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>No. Iterations:</th>         <td>2</td>        <th>                     </th>        <td> </td>      \n",
       "</tr>\n",
       "</table>\n",
       "<table class=\"simpletable\">\n",
       "<tr>\n",
       "                     <td></td>                        <th>coef</th>     <th>std err</th>      <th>z</th>      <th>P>|z|</th>  <th>[0.025</th>    <th>0.975]</th>  \n",
       "</tr>\n",
       "<tr>\n",
       "  <th>Intercept</th>                               <td>    1.3489</td> <td>    0.074</td> <td>   18.268</td> <td> 0.000</td> <td>    1.204</td> <td>    1.494</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>sex[T.M]</th>                                <td>   -0.5923</td> <td>    0.021</td> <td>  -28.404</td> <td> 0.000</td> <td>   -0.633</td> <td>   -0.551</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>marital_status[T.Divorced]</th>              <td>   -0.0175</td> <td>    0.049</td> <td>   -0.357</td> <td> 0.721</td> <td>   -0.114</td> <td>    0.079</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>marital_status[T.Married]</th>               <td>    0.0445</td> <td>    0.036</td> <td>    1.226</td> <td> 0.220</td> <td>   -0.027</td> <td>    0.116</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>marital_status[T.Separated]</th>             <td>   -0.1315</td> <td>    0.072</td> <td>   -1.826</td> <td> 0.068</td> <td>   -0.273</td> <td>    0.010</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>marital_status[T.Single]</th>                <td>    0.0063</td> <td>    0.041</td> <td>    0.154</td> <td> 0.878</td> <td>   -0.074</td> <td>    0.087</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>marital_status[T.Widowed]</th>               <td>   -0.0542</td> <td>    0.057</td> <td>   -0.951</td> <td> 0.341</td> <td>   -0.166</td> <td>    0.057</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ethnic_origin[T.Black or Black British]</th> <td>   -0.3872</td> <td>    0.103</td> <td>   -3.759</td> <td> 0.000</td> <td>   -0.589</td> <td>   -0.185</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ethnic_origin[T.Chinese or Other]</th>       <td>   -0.5337</td> <td>    0.112</td> <td>   -4.756</td> <td> 0.000</td> <td>   -0.754</td> <td>   -0.314</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ethnic_origin[T.Mixed]</th>                  <td>   -0.4796</td> <td>    0.170</td> <td>   -2.826</td> <td> 0.005</td> <td>   -0.812</td> <td>   -0.147</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>ethnic_origin[T.White]</th>                  <td>   -0.8565</td> <td>    0.058</td> <td>  -14.882</td> <td> 0.000</td> <td>   -0.969</td> <td>   -0.744</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>education[T.Degree or Diploma]</th>          <td>   -0.1315</td> <td>    0.029</td> <td>   -4.459</td> <td> 0.000</td> <td>   -0.189</td> <td>   -0.074</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>education[T.None]</th>                       <td>    0.1455</td> <td>    0.034</td> <td>    4.309</td> <td> 0.000</td> <td>    0.079</td> <td>    0.212</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>education[T.O Level / GCSE]</th>             <td>    0.0508</td> <td>    0.033</td> <td>    1.545</td> <td> 0.122</td> <td>   -0.014</td> <td>    0.115</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>education[T.Other]</th>                      <td>    0.1728</td> <td>    0.057</td> <td>    3.022</td> <td> 0.003</td> <td>    0.061</td> <td>    0.285</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>victim_last_yr[T.True]</th>                  <td>    0.0632</td> <td>    0.025</td> <td>    2.479</td> <td> 0.013</td> <td>    0.013</td> <td>    0.113</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <th>age</th>                                     <td>   -0.0050</td> <td>    0.001</td> <td>   -6.206</td> <td> 0.000</td> <td>   -0.007</td> <td>   -0.003</td>\n",
       "</tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<class 'statsmodels.iolib.summary.Summary'>\n",
       "\"\"\"\n",
       "                 Generalized Linear Model Regression Results                  \n",
       "==============================================================================\n",
       "Dep. Variable:         personal_crime   No. Observations:                 8382\n",
       "Model:                            GLM   Df Residuals:                     8365\n",
       "Model Family:                Gaussian   Df Model:                           16\n",
       "Link Function:               identity   Scale:                  0.871317891544\n",
       "Method:                          IRLS   Log-Likelihood:                -11308.\n",
       "Date:                Sun, 03 Dec 2017   Deviance:                       7288.6\n",
       "Time:                        13:23:26   Pearson chi2:                 7.29e+03\n",
       "No. Iterations:                     2                                         \n",
       "===========================================================================================================\n",
       "                                              coef    std err          z      P>|z|      [0.025      0.975]\n",
       "-----------------------------------------------------------------------------------------------------------\n",
       "Intercept                                   1.3489      0.074     18.268      0.000       1.204       1.494\n",
       "sex[T.M]                                   -0.5923      0.021    -28.404      0.000      -0.633      -0.551\n",
       "marital_status[T.Divorced]                 -0.0175      0.049     -0.357      0.721      -0.114       0.079\n",
       "marital_status[T.Married]                   0.0445      0.036      1.226      0.220      -0.027       0.116\n",
       "marital_status[T.Separated]                -0.1315      0.072     -1.826      0.068      -0.273       0.010\n",
       "marital_status[T.Single]                    0.0063      0.041      0.154      0.878      -0.074       0.087\n",
       "marital_status[T.Widowed]                  -0.0542      0.057     -0.951      0.341      -0.166       0.057\n",
       "ethnic_origin[T.Black or Black British]    -0.3872      0.103     -3.759      0.000      -0.589      -0.185\n",
       "ethnic_origin[T.Chinese or Other]          -0.5337      0.112     -4.756      0.000      -0.754      -0.314\n",
       "ethnic_origin[T.Mixed]                     -0.4796      0.170     -2.826      0.005      -0.812      -0.147\n",
       "ethnic_origin[T.White]                     -0.8565      0.058    -14.882      0.000      -0.969      -0.744\n",
       "education[T.Degree or Diploma]             -0.1315      0.029     -4.459      0.000      -0.189      -0.074\n",
       "education[T.None]                           0.1455      0.034      4.309      0.000       0.079       0.212\n",
       "education[T.O Level / GCSE]                 0.0508      0.033      1.545      0.122      -0.014       0.115\n",
       "education[T.Other]                          0.1728      0.057      3.022      0.003       0.061       0.285\n",
       "victim_last_yr[T.True]                      0.0632      0.025      2.479      0.013       0.013       0.113\n",
       "age                                        -0.0050      0.001     -6.206      0.000      -0.007      -0.003\n",
       "===========================================================================================================\n",
       "\"\"\""
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Diagnostics"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicted versus observed:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x7fc9d5646f28>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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/Jta9tBeD1tCJqKGlNyBhIlx6dLh7plEroRfYbO1/XLgSTkNWBovmTMG/PjoW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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc9d5646eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.jointplot(bcs[response], model.fittedvalues)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Residuals versus predicted:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x7fc9d548a940>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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CUWpEfa1zQIdqpc9HEASRa0h8CgA5MQnxkQECsmHLkYTZPF0eNvbz6iW1isWJIAgiX5D4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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc9d548aa20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.jointplot(model.fittedvalues, model.resid_response)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Residuals versus `age` (predictor):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.JointGrid at 0x7fc9d538ab70>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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N1RUwGbSwlenRYRfueOfzQ0PD/oSCn0oFcFZFCb7x+bkx76f8z+mMQWU0Klgt\nevzulZaEOQjWz+GASAHJgfY+rL30zMgKORfQsVZkxv9e4kVWefKpyIDERAubojU+PIxGhfJSXUpJ\nSbkx82RYe+lMtJ7sR6fdLZnkldIT63ez0KqVghcBufmuRETvHJMp3x5w+6BQAiEBp0SpUEQuCIxG\nhRK9sPEp0Wuwbrl42In1cxhmA6OeF8/+VruoLA5PMAR02Iew4+DpmJBgvCcgdoz4AovHXzkQoxcn\nFnJMZdeerPRNKvDGTur9zxcKVa2ECFP0xgdILSkZLt0cFu3cT5XXth3HqR53wsdZTQxCoZBoUl9s\nVyeVS0iG6HPoZagUnHmeeIc9FwzB7fGBKdWD9XPweIVzNx6vHwEuJDr0rm/AI6ua0ReQXxIfnyOI\n9gTsTg8eefWg4OsqMzIxM5LEjHT88ZPZtacqffOd6xfKfv3xFEpDKKkmFC5Fb3ySTUpKDU1LxzRN\nueGrhmobAAju6uqqrJIXhHQUWkfvHAdEmhWFmD7RDIdLXN/sZ8/vw3nnTsCS2omiF+q+QRaOQS+2\nNnUKXnDT5d1FI+ZtMBoVplSaJL20+BlJco6fzK5dSvrmYLvw96mx1Q6vL7F3CCSeD5XPeZNCMZLE\naIre+CQb3shk6aac8JVSAUy2GbH20rD+XHSITgGgRK9G87E+bGs6LRg+lMolyCH+/AAAGUP++GT9\nVRecjQNHe0VDioMePzbt68AOiUY6pQLYuPM4Pmg5c2GN/xzk5mTkIuZNsn4OdqcHQxJempyiBqHj\ny9m1S21YDrT1wimaX2PhHGShhrhxKaYemXw3ksRoit74JBPeSNSHM9bSTb6TXCrXEwwBp3rceG1b\nuNAhOkQXAuAeDsA9HN7RChnGscrrRJ+fP2Y4ES9cXabVKPDjGxfF9CdNthkThhZ9AfE3IRhCjOGJ\nhvdWoy/ccmYJJSLe25A7PVQqNyd1fEDerl3q83S6WdGcllIR7t168R/ixQ9j3WhlQnaKGD8U1vYm\nBfjwhhDxFwSpH3rfIJtU+EmIZDrJm9rsssuEoyVtEuVnFtYIvxdSx2Q0KtgsesHHVVoMmFJpinkf\nf/SVBZhaaUyzzkIYx2DYW+Uv3A/eej6e+sFlWLZgMsrNDBSApFQMD6NVQqEIKwYsXzRllLfx7D9a\nEsrwAOHcnFj/FX9//PFHrWVk1y5WQCIml8SolaKFEMEQ8Pw/PhKUINqw5agMeSMJ2akUJaIIIpqi\n93wA+UlJKc9EqUgu8S6EVHlxPHJ31OHHeiNd/YkM5JK5E2Eu0eLg0V7JpH18FdewVzh/MOwNoKPH\nFeP5aNVq/PTm89A3MIyfPb9alF+cAAAgAElEQVQPgwmaQpOB0apivFVGo4LNZsKNV9SAXTYrXCa8\n92TCsdY+XxAhxGrGyfV2oqmtsmLPEeFNAqNR4r6vCcvrJIeINVUARr064glHYzVpceiY+CiES+rP\nSrlHJlmPSUp5PBnviTyt4mJcGB+5SUkpzyQYwpg7uxmNCgtqKmXlKqSq3eIJhYBHXjmABTWVWFI7\nSfKxj71xCOVmBvNmWFA/y4Y/v90iqpAcLdmTjDIDny8oL9XjvHMnpDU3IwXvQVx7+Swc7RxEh90t\nasD5m6M14wDhAg8pBtw+0b4qfyAo+J2RuojG3yfVt8X6g6KNtnPOtuK9I8J9XE6XFwiJyzWVljCi\nG61kCnikincAyM43FVNuijjDuDA+PFJJSdbPwRcIisrVW02MrKa1RLuzeC9MqxHWN5OqdhOCv4hy\nXFBSXgcIG4wdB7ux42C3aMioPkq9OVllBtF+GZdX0psrM2oTDmPzjby/UsllueXs0TS22uXUVYyi\nqb0vPKsngRoA6+fgGPRi075TkTHl8T05YtNnk6nsO6PSMANHOwdEFTpsFoNo0YbTzeKB5z4QLGY5\n3jkgW1T2z2+3xojDSql3SHlPpN9WnIwr4yNE/K6Kl+GJ55yzLYK388bGaNBi487jCXdnvBfG969U\nWg147LXmSEVbdLUZ/zzeUJWWaOHnghgaDojG+g8e7UN5qQ6dduFxyqPXL64Bx5OcMoNEv0z/MH67\noUnUuIupGkRjMYWVKliR4XGpjipwuNiUc1Ri3nJDdQXUKoVoD1B0ybTPx4leqJOp7LvnhgaUl4bz\nc4kUOqSKNuJnK/FD7xwun6Sx5Xue+McKIWXohQbdkX5bcaK6//7778/1IuTi8cgbUZwM/FyYYTbs\nfQS40b8qlRI48akbe450o3fAi3OnWxAKhfDy5nasf6cNf999AlsaT6Ht1EDkOMMsh+OnBzHMBlA7\n88z8FS4YxMub27Fhczs27+/EjoOdMWrLIQCDQz54fRzqqypQO7McS+efhc8vnY0e5xDaTw1Ivp5h\nHwelQtyoyMXpYnHhvImRH/a50y0YZgMJVbNZXwAX1U5CiV4TczsXDCEQCMLlDeBEt2vU8xbXTsS1\nl1Xh4NE+uD0+8cF5oRA27evEe1GfhdGoi3w3HINe/H33CdH1SRkYftposs+Lfr5CER44t6R2YkwT\nKP+9EOJktwsnRTy1AbcP31o9D74AhwG3D94Eyg5zZ1gxwRr2Ci+cPxm9Ts9IaDAQsy6lQgGlQoHa\nmeVYPHcC9hzpFvxcB9w+dDs92NrYieGR+8XeoyW1E9Fysj/8eiW+I14fJ/p+xH9/pD5Pse9aIkpK\nmIxcS6TOJ5cPj4fzdJ90u/BJtwvTJ5oztaysIPXax7XnI3eXzI1cx6N3g6FQKGaktViYK3p3xvo5\nvPh2a4xispznMRoVTGYG74vE8KNRKoCBobEn+PvdPtz/zAdYOCdWqoUf7iZW4hsdaurqdaPpaC86\n7G60nwqHa8TUsIfZADZsOZYwXMa/X2Kd/Inm6xh0apzuFfYKxTyYsBFWJixiCIaAB795IcpLNJHP\nW873S6oC0unywu3xRbzHQ8d78eRfj4g+3qg/85OWq2od3lQIX4z7Br14T0IDEDjjra9aMgMPPLtX\n8rFA+HNQKhWy2h9Iv614GdfGJ9WemMZWu2jTYTxOlzemW1/u+RwuL453DkRGNnf3eSTzODzBkLzc\niRycbvEYvdj1sqG6An6Ow22P7BD0IsU8svcOf5pS2KuprTfSyc+HQOtmiYiSzq5A87G+pM+hY1Th\nEQcqJfa39Ig2dioVwPRJZviGw/enY6R5mfFMrpHRqFA7swIq5ZkNUTQqJTDZZhp1e6IGzEQ5vUQy\nRXxv2IbN7bJkj4wGLWqmlclSdyD9tuJlXBufRLNvxHC45F9QLCYdNu3vSJjLiEcB4JcvH0C5mUFd\nVTmWzJ8s63n844V26VJjCKRobLMjKGBIgDOhKqspPABtWcNk3PH4LkHDk4jknxE20h993IetH5yM\nJPItJi2mVhrh8frhdLGR0vplDZOxLYH3IkRTay++sGQG1i2vxiX1Z+HePwnv7oMhwOMNRH5UcpqK\nE1Gi18TkPwbcLC6sm4idB0Z7IxfPPyvmsWLlzfEkk9OTYn9bj6S2H4/H68fqi2cAkKfJRvptxcm4\nNj5hkt9vl5Vo0T8kz7Ooq7Ki+Wjycjf8BatvkMXWptMJQz48DdU2rL10Jo52Do4qYrjpymo8+Hxj\n0hd5qd1sKAR879p6NLXZ0Xy0N2kjO2ZCwL1P74m5yeHyweHyYVnDWVh53rRIuIn1cylpwjndLO57\nZi8WzQnPCBKb+lluZmAxM3ANDIMdGd8xFsMDhC/UHjYwqpglvr9naqUR1wkM/RPSJhSqyIyvSkQo\n+c0A6wuiYVYZ9nwo3RztdLFwe/yyNdlIv604GdfGR87sGyEaamx473CX+LRQRdgTGMtuO1miq+Ti\nS435sMj2A6dRJjKkLdHoATEsJga7D3UlvOBkCqk1Nx9z4JrLZkcuVGPZ4fe7z5SyV08tw3tHPh31\nmPrZFdColAkVrpPB6WLxl3faRlXCxRMtySRWlswXQIhVZPIX+OOdA/jlywdSWu/K86fBaNCisdUu\nGiGIztUko8lG+m3Fxbg2PqVGRlaYgI+x8z0U1142CwoFBMcWXFQ/EYvPmRgZAcD6OTBa4V6edBKJ\nu285JuppvdvcLboTT3WDPuT1p2R4lEog02osQp36cucpibH9wGnR5ykA/PGtw2ltqi0zMmg56ZT1\n2EQlzBwXjPGghfplwirexpTChTqtChOtJREjFt/nw0O5GgIY58ZHaqBZNFwQWDJvIr4cNVb6+stn\nQ6lQoLHVDqeLRZlRC6NBi48+dmLXwe6oJsGZSP3SLo6YrEpY6Vh4xykmGzSW0FCqJd0WIwONSolu\ngSbIdCFUDZVKA2o0Uu/VgfZeDInIEElhNWkxbYIJB46OLoaYc7YF7wlcwIVwSuQiHS4vmkTUzuP7\nZZLRIIzmwtqJMV7mTVfNgV6nplwNIUjRGx8pxQGXxweXzHr/lqix0kDiscP8rnLYG0i6oEEOQoYH\nAPqHxJWOhRhrTiJVHC4WpSVj1TyTpm5Wecxnn2oDqlxSDbN5WA4HjvaNCIgq4PNzkQv16otnoPWk\nU9axLSYGCoXwOspKhMOtwGgPsdTIiOa1hLCaGCyoGT09Nfo3otJqwPn85PEQEYrW+AjpQdVVlWP5\noqkoNTLYuPM49rX0yC5Jlho2VmpkRENdLSed0KoBmXO9xozURSafyOQ6LUYNjAYGB9vt2NbYGfFC\nlzVMllUKnCoKkc5/MbQaJXz+YCQky29SFsyuwFevnBPRhJObp5pztgUajRLbBXKMdbPLcfhYn0i/\nTKxqhNzcmNXE4LvX1I+M3MiuUSGR0cKnaI2PkB4UXzWWSnm1VEOblPCmw8WmpBmmVoa9F6F+Dinm\nV1fgYLtdliBpLplfXYHmo71pnUbK4/FycLrPhNYiMjZcMO0TUKMJhSB7o1Fq1EKlABz+0Z9TY3sv\nTnx6Rlvti5fMwJ4j3THebrx3q1Iq8N7hbtEmXrVSIWpQhrx+3PfMBzEFCHLmJS2osWGKzSj6GjMx\nFZhERouHopTXYf0c1r/TJirhkUoPypLaiWiYLTwLR61WYtP+DsHjatUKBFKoNQiGkttFl5sZLKmd\nhOsvn43eQS8+7hotYZMPKBXAlEojbvncHJx2eNDRM5T2c3AiscR+N4vaGeU48alwzkdKXkcOVhMD\nKMPeTMLHGhnYB8SH4EXLM7258xP0SjwWOPNdEXvtg0N+fGv1XPgCwYjcDqNVIcCFIt/b6HNGSztd\nOG8iQgBcQ35BmR4x4qWrxCSnkiEdxywEeR2eQpfYyUt5na6uLnz/+99Hb28vlEolrrnmGnz1q19N\ny7GlPBG5MBol/IEgLFHNk2JilmFSu2wxaiXYBB3kiVAA+M7aOkypNEX+TiepeIpi8FV5339qT8Yr\nAOPpd/uwR0SiaM7ZpWg5Ia6bV1qigbmEgcfrF/WcaqvKsbNZXlk96w/IavptbJUfGpYiLNPjjxF5\nfeSVA4KfQby006TykpF5ScnN3km3ICiJjBYXOTM+KpUK99xzD+bOnQu32401a9ZgyZIlmDVr7JUw\nckYAJMKo1+Der1+AjVvb0Xy0NyZ3EO/ih8U2hS8ivkBI1MBoNQoYGBVY99gu7BYTA9tILsrl8WF/\na3qT6sFgCP/xxbn4686P0d3nSUuRQqqGhxnJk/DVhS6PL6mLs0/E6205MSBa+WcyqPHjryxCeak+\nbjSCI6aKq35mObYfkGd8nC4ftOrEYaJ0hU+1GlVMb41WrYRT5NhS+c3o26LzLgBGzSFKdVidGJk4\nJpE7cmZ8KisrUVlZCQAwGo2YOXMmPv3007QYn3TIhThdLN7acTxhXwQgXR1UbtZh7gwLdhzsGnVf\nw2wb9qahObNEr4lI9ydTRCEXXyCEJ/56BOVmBufPnYCZUyx49Z1W0Qt5JrCMGBu3xw/WzwJQoGZa\nGZYvnIJfvNSE/jQUL4gZVZcngF+81BjZeEwqL8GNK+fA5fGho8cd6emSWzkJAEaDBq40TnhNzJkX\nF5ldJdLjJpbfPDM+RIONOz+ONNLyVXqsj4tpMUi3IKieUYs2SZPIaOGRFwUHHR0d+Oijj1BfX5+2\nY/IJ0/0t9pSqqiwmBs1H5bn4icQPW04INwl29LjTkgB3eXx48e0W7Dgorx8kVfoGWbx3+FO8d3h0\nd38mmWQ1oHpaWYxXwYue7jx4eszjI+QgRylg9cUzoFYqEJDhGro8/pRVJVLB6wvGCNxKza6qmVYW\n87fQzKtozzXa65czhyjZJtPo84v9lqWOSZVx+UnOjc/Q0BBuv/12/PCHP4TRKF45AwAWiwFqtfwv\nz3euX4gBN4vbfrVFMMRQUcpgXlUFtgnokdVXV2Lr/lOCx3W6vFBpNbBVlERu+/Y1DTDotdhzuAu9\n/cOoKNPjgnmTsGbZLHztwX8JHqfL4cGKz0zD2++flP2ahOh3+7CzObOGJ5f4OQ7vNo/2HIGxzy1K\nluZjfdBq1YISNiEowCVRJSL3kWUmLfrHGH5TKoEdzV0x6+YNiJ5Rwcty0DEqAAq8d6QbRzsHcMG8\nSbhhZQ2e3ngYmwWeJ0XzsT48fuelgr+Jm1fNhUolvzLtDxsPiUYxKi3ix+S4IJ752xHsOdwFe/8w\nbFHntwmof+cDJQYtlHFVe/m61rGSU+Pj9/tx++23Y9WqVbjiiisSPt7plDedM56FNZWCX975s8Nh\nFLVSMaoLe/XFM3D4WK/oGGLO54fdHltRtnrJdFx53tSYXdbhth5RGZlgEJg73QKOC4YFHQe9UKSo\nOJBMZVyh0TuQP31Lducw3hMxhE2tPago1cPeL/SdYTDk8SUdqtRpVWiYbRuzYGswCNF5UAZGjfqq\nCuz58IxH2+Mcxls7j+PtPZ+kZOB7+4fx8Sln5DcR3WTqcMivcGT9HHYdFH7tZUYtfnTjQpgMWsFj\nrt/UFvO7518TEP6tZotkjMeQQOg2/jpTSEi99pwZn1AohB/96EeYOXMmvva1r2XsPKyfw7KGyeC4\n4KgEcbygYrxrnmgMsRDxSdkpldLe3NkTTJg3o1xUKSGXpBoWUioAg04NjUohODI7WcSkhHJBqVEr\nml9yullMEEl4MxoVnCnkyC6snRieJTSyQXK4vFAg+Q1KWYn4jCeHixXVj0tZPilOPNRWUSJ4EU0U\nEpMqMhgc8mGYDUSaceOPK1YZt+dwF648byqF4HJMzozP/v378eabb6K6uhpf+MIXAAB33HEHli5d\nmpbjCyoczKrA8oVTYDXrRn3xhCp5Vp4/DftbPkVX71DMaIK1l84UPW+q8WX+/OuW8xea9Kgij4Xz\nz61MSTQ0GArL/5w3x4a9LfIr78SqAufNtGLPkfSrZhu0SniSLCHnB9IJfTYKAN0OYe/cI3P4II9J\nr8H5cydg9cUz0DfgxZqlVVh14XR09Ljx0qY20WmsouuusYk29WZCbSJRXkdus2iqk0yljFZv/zBV\nxuUBOTM+ixYtQmtra8aOL6hw0NgJlVIRU6kWT/SPIv4Lz/eovLr1GG5YUSP6PP7HNHeGJeEX/OOu\nQdRVVcQYLd4Tix+5nU3KzTp8eeWchPL4UuxLouRbAcBSyqC7b3TI6pMMNcwmY3jKjFosmlOJay+b\nhaOd+wQvhlLeiMvjT6qn6ztfqsWeD3tw35/2xlSUeX0clDIbuRRA3EVdIRx+HqPahG6kcCFaky6R\neKjQ71OokjTVSaZSRquiTE+VcXlAzgsOMoHcZjQhLyX+RyHErkPdWHvprJgvvtCPSU712XP/+BCm\nEh2GvH4443aAX7tqDgwxqsAMDDoNhob9KRmDZKibZQUzItWiUIQvZEqR8c1iJBMaCgHocQgrXH/q\nGIZFpMQ2GzAaJX5683mRERlDw8kn/61mHebNtMruA3rwhcaYv6MryuS+ryGEw9s8UhNBxQyTFBaj\nFt+7dj5sZXoAkO3xuzw+7GsR9mSFmkXlTDKN/y1LGa0L5k2ikFseUJTGJ1EzWnzJaXSprBzVY6+P\nQ+tJJ2qmWQAA9v5hNLamFhbqHwqgf2i0DlkoFMINK2qwbnk1Vl04HS5fECatMtJP8rPnP8hoIv6j\nT5xYv6k9Jv/EG57ameU4dHy0/P9YMEn0vYQATJ9khLM9+de79tKZ6Oobwkef9MPhYlMaIaFQKKAd\nuVjZnZ6UGj8bqisQzEFViMPli/EohPKbQnlRhSLxRmPhnMoYbbdEXj4fHdjfYhfNPwk1i0rlZaXC\nd2JG6+ZVc5MqeiAyQ1EaH+k4MYNN+04JNo96vAHZsjyPvNoc01yX7svKu81dmGwrwbHTg2j5xAnH\nIAuLSYsSfbjRMtNeQLdjGD1O4cKHdBseAGiYXS7pKRoYjeDtiUJZr207jnIzg/rZFWiYXYHfbjiY\n9Nq8Pg7dfUPYdbg76ZEMCoSLTlYtmY4Hnv0g6XMni1iRSLxkTqXFAC4YjExd5S/c82aWo35mOV58\np010PpDFqMXCkRCkHFg/h67eIfzlnbaE4+Cl8jhCk0wThe+EjFYyZd75wLYD4d/hpfMn53gl6aUo\njQ+jUcGg0wgaHz2jRvMx4YtnywlnUk2fmZjTw8P6g3jh/9pibnO4fFlVq870rB+lInyxqauy4pL5\nkyUnrb4nUias16nBJlB04PN9CIVSbur9r/WNKX3eIYTzhH95pz3t4xyUIyMc+GKaBbMq8JtXhI2r\nkEchdOHefuB0wtCg3K9FvKq1nFRVMg2ocsPrNH47PymsLYBMpOLyLo9P9CLQ72YxZySUlinMhqK0\n90mjVAD33NCAulnlaD7Whwee/UDS2IndNzDkg9UsL3ncfMyBulkVKax27BuND1p6YDGld3ieRq2I\n5HVUSgVmTC4VfS8sJibGoxjLYL1+dziUt/6dNvQ4PWD9wk2nvHHrG2QRCklvZsqMWixfNCWpKady\ntN6I/KUor4QDblZUNHFwyC+pD3X9iuqY0b9ajQqhYGjMytM8C2sqE4YexgPBEPDmu5/gyCfC/SVy\nsZp0OG/uBPzzvRMJH+sY9OKSukk5KWXngiFUTSmF46Oxi75qNQr4/CGw/vDVPDqvI+bxG3SaGI8i\nHcrv20bmY1lNWiyoqYwpk07GuDHqMwUdyZBqGTaRHxSl58N/KYWwmnWYXy28+22oroCBUWPd8mo8\neOv5eOL7l2Hx3AkwGsL5BrklrmJo1QqsubQKyxdNQblZl9KQuWJirIYHAGqrrBiWqZAdAvC7Nw4B\nAH70lUXQarL7AZxztgXLGs5CuVkHpSI8/2dqpREWU3IXSa1KOCy1r6UHriHhuT9Dw/4YD0XqNyIX\n3pHhjd9fNrdH7kvGuCmUZwo6koGvaBMiWf04IvsUpeeTqDdg7aUzcbRjAJ12t2jzKKNRYeOuT2K8\nlLHmQPyBUGSmyqoLp+Pj0wN49PVDRSuNw2gU8HMhUXmhdLC7uSspyRo+IT3sDcDvz+4b/8L/taHc\nzGDuTCsW1VTi7AkmmAxaHO8awIPP75d9HLdXWO1BSs28381Gcj58WfK8JEZAyGH3oW58aaQFIZmx\nJr6R9aSSl5FThl0MFFuxAVCkxgeI/lKOHuG7YctRnOo5U97MN4++tu14pMGN9XPYc1hYw4sv1+Wb\n61g/J0vyhNGqYDRoYyqMitTuAAiXyIrlA6Swmhm4hnzwyzAqqY51aDnpFB0pkEn6BlnsONCFHQe6\nUD5SFrxk3sSMn7fMyES+e42tPXC4fGkfOuj1cbA7PZhSaUpqrMlYQmRSZdhEflO0xocnFAohFDrT\nbMf6g7IqZAbcrKBAZPiYwN3XzcfMyaUAwiGGx984hE67dO9AKBTCi2+34v0PszuSIFd4WA4aFZCs\n/TlnmgW70qDsIKVN1zfIYvG8CVkfDxG/hk37OuAZzvxcH0ajwqvbjmJ7lCefkY3PSCw50jsUDKH5\naF8kfyqkiC03RCYlXUUVbYVH0Rqf+DJSPi49LNHLE12OWmpkUFGqg71/dAzdYmIwc3Jp5AdQamQw\nLEO7i/UHx43h4UnG8JRHDSJrOekcc0GA1MVVqQB8WR7HIMbuI5n/TnQ5POgS0Z1LFzqtClYzM6p3\nqK6qHNdcMQecL4CNO48LRiOkkKsDRxQWRWl8WD8nqjjw0QmHrAmOjEYFk0EraHxK9KMrh8Sq6/IZ\nKVWBbLN43gR8ZeWcyPtaP7sCW/ZnTt07GELax41nmzKjFggB/UP58d1bUG3D69uPx6hi9A2y2Np0\nGiajDqsWTwMwOhqRCLk6cERhUZTbhgE3KxrLd7h8mHO2VfC+aPef9XNwi4RDPN70Vw7lgvmzy8dc\nwZcuGK0qNpRSrFUYaSTABbHonMqcrkGBsPadTqvE7sPd2N4kvGHYc7gL6ze1Y9O+jshvk49GbNhy\nVPT4iRpJU8kpEvlBURofPaMWvagqFWG9L77cWakIKzjHN7jZ+4dhFxgkBwBOFxvTwMZoVKifnVrz\nYi7xc6GMqxjIZXdzN/oGwu836+ewO4e5mELBPRzAeefYsGzB5HDpfpbPz2iUOP/cSrD+YKQJV+z7\nZHcOSxgRu6gRoUbSMNsOdEb+KxaKMuw2zAZEfwTBUDjWn0iosLG1RzRnIFSdIxZCmDejDIc/7hdd\na6oD29LBRx87cnTm0fgCQdz91HuYWmnEuhWzZY1qJoCHX2xC+Uhe5ZL5Z+Hx1w8l3Tx6VoUBE60G\nNLb1JndyBdB2Svy7HY3FzIiuq2+QFS21pkbS4qUoPZ9SI4NykTBYuZkR/MKyfg49Ts+o0IAQ8eG5\nDrsbuw8JV2dJGZ5cMzCUH/meaE71uPFfLzXlehlZIV25cj6vsutQNxaINF1Kwfo43Py5c880P8t8\nns8XlF2qvnBOpWQ0Qs8I74OpkbR4KUrPR7rJ1Aa1ShFTkaPVKKFQhPW7pHIg0dVYXX1D2LTvFA4e\n7R1Tr0ieRL3GBTqtEqHQGVmaXGJgVOC4ENg0duA2tfXip7ecN/Jv+fJBThcLt8cXiQYc7xzAr14+\nkPC7aTUzCIVCsr7/AYkQbzAE0XHYgHAjaV2VFcsaJoP1c2SACpSiND6AdOfzy5vbsTmqkip6Tr3Y\nD0QB4NtrarHrUDfu+9P7OR9xTaSCAuWluqRHUGcCD5v+sKJjZFYVb0Re234cm/edSvg87YgiARDe\nuM0cEShN9B3nPRI5jaRHjvfBYtTA6R7tbVtNwtEInuhGUsegF5v2d6D5aC+2NZ2msusCpmiNj1jn\nM+vnsEskRCYFo1Vhx8GumDJSorBgfRzcnvwoS84EoRDwyCsHIiKft10zHwqE0NTWC4fLK7uAMJE6\nQbl5tIRNU1svHINeUW+pt38YF8ydKDgWfkGNTZb3wmhU2NrUOaqUe7yVXW870FkUcjtFa3zEsPcP\np5TMDoVCONhe2H0h450QgEGPsC5ascCXL7uHfThnhg3L5p8VCaX98uUDgs9hfaO11QRDXbPKsXzh\nFFjNupgx9GuWVmHN0irYnR48+lqzoMdUUabHuhWz48bCJ6fDJnd+D1EYFK3xEeuKTlVHi/UHwfqL\nd9ecynhpIn/Zc6QHe46EG63VKgV+/s0LYRVtrh4d9uIjB6sunI6OHjemVBojORmhCah86EvMY7pg\n3iQYGM2YdNjklF2TxE7hULTGR6wrmguGoNMqkx4OZjao4R4WL+EudEwjYyPysQKOGBsBLoR7ntqF\nsyqMgsYnXrEDkJa0kVIcEMu13rxqLhwOae3DRFDZdXFRlMZHyj3f39qDBdUV2H1YWH5HpxUWP8yH\ncI1SiYyNJyCjU9xwQWBwSNhr4BU7og2Q6OaNC4qOoedDX0LejUqlHLNGW6JRKXLFSbt6h8BRlVzO\nKUrjI+WeDw758d7hHhj1aqiVQP9QAFaTFvWzKrB80VSUGpkR8cNe9A0KD+bKFYoi9bqEqJlWitaT\nA7leRs5RKsJed//Q2Dc/YhsMXrGDD1lJbd72tdrhFtEDjA59CalMJ6vRJqRiner8nhjDFydqSlVy\nuaEojU+iQVYhhKVJor9zKpUSlRZ9TKz7gef25ZUBSnF0TcHBaJWYVG4g4wNgYoUB0yeYBavE0kVp\niRbdDg/0jBomg1Zy8+by+KFUCEvvSYW+vL6AqNhvY6s9plggkYeUSt6IxEnzj6I0+VJd0dHwISwh\ngcOBIR8ceWR4xhPlZh0OtAuHdsYKP7q63MxAoQg3Di9rOAu3rZmXkfONlb5+L9473A2dVgVGk5mf\nq9PtwyOvNuN7j7+L+57ZC71OA0YrfkEXy3vOn10uagicg1Jiv7Faibyh6BsZtsgbiujfJ+9ZyQ21\nkThp/lGUxgcIu+fLF02BSS/fudtzpHtEYqcNj7ySuMObyAynez2SI6HHwr9/cS5qppXFyPqrVEpY\nzbqMnG+ssP4gQghPCSlNKDcAACAASURBVGUzPH+In+j78xf3yx53EI3UMww6abFfXl4nE4aCxEnz\nk6IMuwFh1731ZL/ovHsh3MMB3PP7PRlcFZFrfvFSEwJR8Uve6/X5c19Qki90pzh07mB7H750qXAi\n3+OVFvvl5XXkllNLTTWNh6rk8pOiNT4PvdCIUz3utB4zlwrURHoIiCTODh7LH4XvQkWq18ZiDov9\nChmAaLHfRIbCaNCK9hiJFQ6ko0qOSD9FaXxcHh867ek1PAAZnmJmIENhvvGElBeh06oxf3ZFjKYi\nT800S+TfiQzFxp3HUyocSLVKLl+Jn+tTiHI7OTU+//mf/4lt27ahvLwcf//739N23I4ed0E0gxr1\nGtFpqQRRaCTyIsR+krsPd6P1pDPiwYgZitUXz8B9f9oreIxE8jrRVXIqrQacz08eT47JqfG5+uqr\n8eUvfxk/+MEP0nrcKZXGgpCLIcND5DuMVolQMDzsTwiFArAKeBHxORmvL4CD7eLD6uI9GKFy6h6n\nZ8zyOoxGBVtFCex2V6KXTmSYnBqfz3zmM+joSCzHniwmgxaTbca053wIYrwhZXgA4K5r52Pm5FIA\nQN+AF0aDBht3fhyTk6mbVYFLF02TNYYk2oOJb1SlwoHioihzPgDwo68swEMvNKLTXhghOIJIN9++\nZj7+uqUdp3uHUs5XShmecrMOZ08y4/XtxyLGhomTp+obZLG1MTwGQU40QsqDocKB4qKgjI/FYoBa\nLf8L9uQPLseAm8U3Ht4EDyuvlLa0REM6Z0TBU1Gmw55DXejsHZuYpxRL6s/Cv/Z1xBgDqXElcjaB\njFaNqunl0GmFL03fvqYBBr0Wew53wd4/DFuZHhfMm4SbV82FSiW/bdFmM426zesLwDnIwmJmRM+f\naUoMWihTkPsRej35TkEZH6cz+f6DvoFh2YYHAHU7E0lhMWrhzMNKud5+L3r7M6PQYTUxWFBjw6X1\nE/HAc/uSfr6UBxQKhdDb6xb1YrhgEJ5hHwIBDqEQEAhw8Az7YO91ydZos9lMMTmfsQqeyjmfXIZS\nHHb46jstkX/nU+Wb1GsvWoUDntaT/Uk9nh+1oFWH27GtJi0uqpuIr6yshkiDNjGOyUfDkyyzzjIm\n9fivrAyXND/w3L6UlCikxBP4wXZi8NI7vFSPkDRWssiR8yHST06Nzx133IHrrrsOH3/8MS655BK8\n+uqraT9HzbSylJ7nC4R/IQ6XD+8d7sYLb7dRnw9RlIQUyW2rHnntEDbt60hZAsli0sJi1IjcN3qw\nHU8mpHdI9y135DTs9pvf/Cbj5ygv1cOoDw+CSxUus5JaBJFTPu7MbtmxQa+BAgo43aNzq0KD7Xgy\nMcmUpqPmjqIPu7F+Dnde1wCjrqDSWwSRNYIAdJrsBZXtzmEMDQt7TfxgOyD82+1xeiJ/86XWQlhM\nDHx+LmlPRfqYVL6dSYr2iswnERtbe+Bw+WA1abGkeiKqJpnw1rsfp2U4F0EUCzd/bi5eeLtlTBEC\nubD+IFi/sPFxulg4Br3Y2tQpWAAgVmo95PXjvmc+yMl01HyjUKR3itb4/GVzO7ZE6Ug5XD7sau4G\no1HBWMKQ8SGIKMrNDH7570vg9vjwwUc9eGXbsYyeT6MEhCZEaDUqbNp3ClubTkdui1Y/iJfe0WrC\nfUV8oVAqQ+KKTfetUFCEUhnckSPkSmKwfg7ffWyn4PwTRq1ECKFIQQFBEGHKR7yG1RfPxF1PvBu5\noGcTRqOEUa8RVjEwavHVK+dgxiQz3B4f9rf1YMv+DsGNZLlZhwdvPV/Qc4kvteZJZkxDMiRTah1d\nMp0ucun5SL32ovR87E6P6OAtVqJjmyDGM7zX4PL4EAzm5nfC+oPw+UUKAEYmrsohlWKBeDkfIrMU\nZcGBPw0GxiAxRpggipn3P+yBL0dRaatJvAAgGahYIP8pSuMTSkPhzrCETAhBEJlhQY0NDdW2MR+n\nUIsFxhOyw25utxsnTpzA3LlzM7metKBNQuNJDMoIEUT24CV7opP8ja12OFyJlbCjKTdTsUA88dVv\nQH5UwMkyPtu3b8e9994LlUqFLVu24NChQ3jiiSfwP//zP5leX0rYLAYwGgVYP5kQgigE/vPLC1Be\nqgcQbpMAwrOCkuGOa+sxe0oZeTwFgiwX4bHHHsNrr70Gs9kMAKitrcXJkyczurCxwGhUWFw7KdfL\nIAhCJj3O4ci/o7XWkqGyTE+Gp4CQHZ+y2WLjsFqtNu2LSSeqZLdNBEEkBaNRYqJVn5ZjlRnD1xMp\nrbVEa6ECg8JClvEpKSlBb28vFCMX9Pfffx8mU/7Oj2D9HA5IjOwlCGLsVJTq8JObFsGoH3vHxo/+\nuBf3PbMXp/tcSXs8ACLXJqJwkPWtueuuu3Drrbeio6MDN954Iz755BM89dRTmV5bykiJBSZCrQSo\nFYggEtPj9OD3bx5JmyTPqR43HnqhMaXn8qMYqE+ncJBlfOrq6vDCCy+gsTH8xWhoaIjkf/IRqVnv\niSDDQxDy8HNA8zFHWo+Zam+r1Ux9Pcmw7UBnziveZOd8TCYTFi9ejPPOOw8ajQbDw8OJn5QjeLFA\ngiDGB9TXU3jI8nz+9a9/4cEHH4TdHk4EhkIhKBQKfPTRRxld3Fjg6/z3fvgpBj2j54YQBFH4lJZo\n8ZlzKqmvpwCRZXx++ctf4pFHHsH8+fOhTMNM82yiVlEikiCKldvW1mLmpNJcL4NIAVmWpLS0FAsW\nLCgowxM/612IhTUVWVwRQRDpRKdVYnKFEcDowXNE/iPL81mxYgXWr1+Pq666CgxzJqmn16enxj/d\nJOoVsJi08AeC2N8qXY490WpAt8OT7uURBJEGKkr1UKsUWL+pTXDwnJxhcuOZXMvuyDI+v/3tbwEA\nDzzwQOS2fM75DLhZyUo3Rq2CU8IjAgAFgABHpW8Eka94vAGs39SOrY1nLqKpDJMjcoMs49PSkv4B\nR5lEz6ihVABBAWk3BYBPnYkr9UIAege8aV8bQRDpwelicaBNOHrR1NaLNUurqAIuj5Hdmux0OnHw\n4EEoFArU19ejrKwsk+saE8NsQNDwAPLVqpUKwGpm0DuQWrMqQRCZpUSvRr9bZPBcCsPkiOwiKyi6\nc+dOXHnllXj++efx3HPP4aqrrsKuXbsyvbaUKTUyYNRji/cGQ0D97Mo0rYggiHTjHg6IKl/TMLn8\nR3bO56WXXkJVVRUA4NixY7j77ruxZMmSjC5uLATGOAa43MzgllVz0XbSiU67W9STIggisyggHrEQ\n+11S02n+I8v4BAKBiOEBgKqqKgQCOZqzKwN7/zDGWiugZ9RY/04rTvW407MogiBSQs6+T6kIP85q\nomFyYyGbFXCyjI/VasUbb7yBq6++GgDwxhtvwGq1ZmRB6cAXGHutf4d9CPb+E2lYDUEQc2daceR4\nenXgogmFgLuum4+Zk0vJ4ykQZCVGHnjgAbz88suora1FXV0dNmzYgJ/97GeZXlvqhNITI2P9VGpN\nEOkgk4YHCBcHmQyajJ6DSC+Sns/Ro0cj/3744YcRDAYRCoWgVCrBsvlbBabVjH2+CEEQhYPTxeLe\nZz6A1aTFgppKajItACSv0t/4xjdi/uYHNg0NDWFgYCBvm0xtZXowGiV5LgQxTuALDxwuHzbt60Aw\nFMKXV9TkdlGEJJLGZ8uWLTF/ezwePPvss1i/fj1uuummTK5rTDAaFS6qm4TN+0cnzwiCKH52H+rG\nly6dRfmfNJCpIgRZfmkgEMCLL76Iz372s+ju7sYbb7yBH/zgB2M++Y4dO7By5UqsWLECTz/99JiP\nF811l8/G8kVTYDFSHJggxhteHwe7M726jCReml4SJkc2btyIxx9/HLW1tXj++ecxY8aMtJyY4zg8\n8MADePbZZzFhwgSsXbsWl112GWbNSm+JZCEpcRMEkUbEOlCThAsGsWHLURIvTTOSxmfVqlXweDy4\n7bbbMG/ePHAcF1OEMBZD0dzcjLPPPhtTp04FAHzuc5/D5s2b02Z8+JEK6aTMqEW/W1qQlCCI9CLV\nZCqGTquCrSw9qvvx1xISL00PksZnaGgIAPDYY49BoVAgFFXCrFAosHnz5pRP/Omnn2LixImRvydM\nmIDm5uaUjxcN6+fQKDFSIRUsRi1YX/421hJEMcKolXjwGxfgsdea0dHjlm2EFlTbBG9n/Ry6eofA\n+TlZ+SCp8SwkXjo2kio4SCchgV4cRQI32WIxQK1O/EF39Q7BITFSIRUWnFOJzR+k15MiCEIaNhCE\njwuioaYSbg8Lp9sv+lgFAB0Tvj7sPtyNo50DuGDeJNy8ai4A4Jm/HcGew12w9w/DVqbHBfMm4YaV\nNRgY8sNiZqDTjr4cdvUOweESFy9VaTWwVZSM/YWOUGLQFkSqwGYzjfkYOWuImThxIrq7uyN/f/rp\np6islBbydMpMINp70y+Jc6C1J+3HJAgiMT/6/Z6Ej7EYNZhYXoKPTvRHbutxDuOtncfhGQ6HyqND\nZ/x9/3r/BFgfJ5rH4fwcrCZGcD6YxaQD5/PDbndJri2ZC/WQpzDC+q++IzxmJ74KTuq158zE1tbW\n4pNPPsGpU6fg8/nwv//7v7jsssvScuyPu6S/DKnQN1gYXwqCGI843f4YwxNNU5sdjSKbR6+PQwhn\n8jgbthyNuZ/RqNAgEsIj8dKxkTPPR61W495778XXv/51cByHNWvWYPbs2Wk5ds20/J01RBBEdnG4\nWNmKW0J5HF6ktKmtF06XFxYSL00LOdWhWbp0KZYuXZr245aX6mHUq+EepgIBghjvWIxaAGH1g0QI\nDaFTKZVYt7waa5ZWYcDNhueFkcczZvI/s5Ui//WtxTDqSeONIMY7Jfqw3pscpIbQMRoVKi0GMjxp\nomivznqtBo995xJ09bqxv82O3Yc/RY/TQ0PhCGKc4fH6sfricHM8HzrTapTw+kZrP86fXU7GJUlS\nldopWuMT3ZUsVKlCEMT4wOli4fb4I6EzlVaDl/55BNsPdI16LO1Ns0fRht34rmQyPAQxvokOpTEa\nFSxmBodF5gsdbO8j7bYsUZTGR6ormSCI/KV6amnajxldEs36ObSecIpuSvmCAyLzFGXYbcDNpl3h\ngCCIzFPCpC/fYjFpsXBksFyMOKiLhVIBwfyvVMEBkV6K0viUGhlYzcJdyQRB5C/HT6enQVytBB7+\nxuKIx7N+U1uMwoFYbocaR7NHURofvis53arWBEFklgGPuHZbMpgMZ+Z4uTw+7G8RDsMrFUAoBFjN\n1DiaKvHD5uRWvxWl8QFiu5L7Br05Xg1BENlkYMgPx6AXW5s6sa+lR3QUSgjAXdfNx8zJpeTxZJmi\nLDgAznQl33vTIjDqon2ZBEEIYDZo8fYHJ7FpX4fkDC6LkSHDkyOK/qo84GbBBkY3kxEEUbz0D/nw\n7sHRfTzxlOg1ZHhyRNEbn3SN0iUIorCQo2bi8fqprydHFL3xKS3R5noJBEHkKX2DLPX15IiiLTjg\nGWZJ2ZogCGGUCkDPFP1lMKOkqu1W9J6PnlHDbKAvF0EUOpoMXK2CIdqg5oqivSpHdzQPeoS/XGJd\nzgRB5A86rQpeHwd/BuqGrCaGFA1yRNF6PnKERcnuEET+YtSp8cMbF6BEl7k98oIaG1W75Yii9Hzk\nCovKHa1LEET2cXsD2NZ0OiM6jeWkaJBzitL4kLAoQRQHLSecY9Zp1GmV8PmDsJh0qKuy4por5gAB\njjyeJEm1sECMojQ+pUYGFpNW1sx2giDyl343i8VzJ2LX4e6Uj3H+3Am48ryzUWpkwGhUsNlMsNvT\nI2BKpE5R5nwYjQoleurvIYhCp7REi+tXVGP5oimwpFgYcPiYM2J4iPyhKI0P6+fg8aZHHZcgiNzB\n+jmolAqsW16N+2/+DEpLNImfFAcNiMtPitL4UM6HIIoDD8vhh7/fg/Wb2mDQqbFwTmXSxygzMvAF\ngiSjk2cUbc6HhskRRHHgdLPYtK8DoVAIqSg1etgA7vvTXljNDBqqbfj2NQ1pXyORPEVpfGiYHEEU\nH+8e6kJJElI4jEYJ1h+E1xf2ePoGw0bMoNdi9ZLpGVpl4ZHuKja5FGXYDQgPk1u+aApM+uRjxARB\n5B+sLyi7gvWCcyfAKPLb33O4i0JweUDRGh9+mNw9N5CLTRDFgljBgVIBKBBuHl2+aApWLZkumvft\n7R+mAoQ8oCjDbtGoVEVrXwliXKFSAvNnV2D7gdFD4i6efxauPG9apKSa9XOied+KMj3pueUBRX9l\nLjUysBgp9EYQhY5apYRCZDikWqlApcUQ6eXh875CXDBvEvX85AFF7/kwGhUWzplAxQcEUeCw/iAO\ntvcJ3negvQ9rL42VzOF125raeuF0eWExhfXcbl41Fw7HUFbWnG/kqrhAiJwYn3/+85/43e9+h2PH\njuHVV19FbW1tRs+39tKZaD3Zj067m0YoEEQeIzXmRKtWwimSq3EMhhtJKy2GyG183nfVhdPR0ePG\nlEojTAYtheLzhJwYn//f3pnHN1Wmff93sjdN0jZt2kIpQoECUlkFBJRhBx9xrCPqo86MiKiPn/Gt\ngKMzDs7jMg8ybqMzzugH/Qwv4yvIuLDIjI8OqzAKCraAgC2rUpbSLW2TNnvO+0c4IUnPOTlJk5w2\nvb7/KG16zp2z3Nd9X8vvKi0txeuvv46nn346Jef7cNdp1NbbU3IugiDi5/qRhfjqaD1c3s7Nexjm\nSvp0JFqNslMcJ7SnV3Obi7fOx+XxodXuIvkdGZDF+AwaNChl55LaXoEgiM5cN6IA333fjNb25MpV\n5Rg0GDcsHxOG52P3IX4RUbfHD41K+q6F6+nFEVrnc/Ok/ryG6c4Zg6FU0M4oFaR9zKfB2kFKBwQR\nJwoAbUk2PABgtbuxq+o8tovEZrMMGrTa+et83Jd3MPk5erg8PjS0OFBZU8/72X1HLsLW7sLOyvPB\nn3GGCQDunlXahW9CSCVpxmfhwoVobGzs9PMlS5Zg1qxZcR0zJ0cPlUra1tjn82P1lqPYe6RzWiZB\nENI4cb4Vedk6NLQ4k34ur088IJtt0EKjVqLe6uj0u7zsDAwszsHaz2qw98hFNFodgp2KG6wOHPbx\nJy4cPtWEh27LgE4jz7o8U6+BIok7L4vFmLRjx0rSrvCaNWsSfkyrtUPyZ9dtO04ZbgTRRRpanJhc\nVoiGlvj76SSKtnY39AIttbVqJd7aeBjbvznP+/tQckxaNLfxG9PGFgdOfd8UlrjQVWKZ8Ns7ktOD\njMtyS3UfI7HvnpbOTYrzEETiWDCt5HI/HXl7ZFltLtg7+F2A7Q439hy+IOk415X1gdnEX2SaY9RR\nAWqKkMX4bN26FVOnTkVVVRUeeugh3H///Qk9vtSWChp1PBq5BNG7+PzgORw904wWgXhLqjBlatDa\nzj8Gq80Nt0fcbcdJ7zxYfg1GD8nj/czoIbmU9ZYiZHFszp49G7Nnz07a8aW20c7UquH1ueHvnLnZ\nidLiLByvbU3QCAlCOsUWPWobpLucE83mf59N6PGE0qWjYdCroVIyvAlEJpFkBAD4RXkZygYFDItS\nqRCMB1EZYOpIS7ebVq2EXoKatdUuzfAAEFTIJYhkY7UlP9ifCrTqwHQTj+EBAKfLi5GD+XcsQ4uz\nRf+2IPeK9I7T7cWhE52ToQDg0IkmUrxOEWmZas2lWiaSmh9aEno8gpCK3RnfZN3dcIsYnRyjBuOG\n5mPCMAuef7eK9zNWmwuzxvWDUsGESOZoodepcfKc8PupVStgyc64cpw2Ybc813I7kQkHctGdpHT4\nSEvj09DigMud2Be23eVN6PEIorch5NJiGGDpHaPRz2KAy+NDroAadY5RB7NJh7tnleK2Hw1Cq92F\nz74+i51V4okG148MFxLNMQl3OqaEg9SRlm43sOKeW0ozIIjuQ5Zeg6zMQCadmBr1mNK8oBFxe3yo\na+rAwZP89ToAYDZqMOvafvjPmUPCfq7TqCSdg0guabnzseToodMo4OTZ/ahVCnh4dKMIgpCHlnY3\nnluzPyhvEykErGCAIosBC6aVwO31YsU7lVFFghkGWHJ5N8WHkOI193Mi+aSl8dGqlZh8TR/s4Ck4\nGzMkD4dONSbcLcfRN0+PuqYOUs/uATCg7KbuQqi8DYAwIWA/G/j3h7tOo+ZsiySRYLNRFxbniYRT\nvObcdyQsmnrS0vgAwF0zh0DBMKisaUCzzQWtOtCI6uvv+PWeEoXT5YVKycDtpWmtu0N3qPtRWdMA\ngX5xqDzeAKtEnUap7jOtWpkWyQU9kbQ1PqErm3c/q8EXR1IjD2K1u6OFnAhCVhgA9/3HUKz+pCZp\n51AwgEGnQpsjtkQdq03YuFjbXKILBgaA2dS73GfdPaNNjLQ1PqFUn7Wm7Fw5Rq0kdQWCkIt++QYM\nKDQl9RwFOXrUNcdeGJtj1IJhwJ+JZtIKGiAGwFM/H4e+FgO5z3oI6ZntFoJUqZ1EMbhvVsrORXQP\nGAAqZc/IoTRkqLDszpG4xKMMnSiK8w349c/GCeqnKUQu1ejSPMFMtLGlFvTL508g6GvJRCYVgvco\n0n7nk2UQzulPJLmmQLFb9dnmpJ6H6H6wCLQDuP6aQlSfbUFja/dVJLA7vHhy1VdwuqVV8Yu1teZj\nxeIJ6JMXMBBjSi28yvI/Gt0XTo8Pe49c6vQ7BuKZaD6/PyzbjQGQmaGC0+XFk6v2UVO4HkTaGx8A\nGNo/B1/GGPPRaZSSX1BDhgrDBuTgi8Pyy84T8vHlkboekeUo9bkGxA0FHwb9FeVrISNSfsNAPP3X\nr3n//uCJJiyYNlgwE02pUODZRRNg63DjXL0dX1fX4/ODF2C/HFuipnA9h7Q1PpH925UKBj4JM4Mh\nQ4XrRhRi1rh+WLm2UlSskMPu8OLLb2M3PAwArUA9Uk8iXqHIdCNRhkejYuD1s5J1B5OB2ajF2KEW\nlN9Qgla7CzqNCodPNkb1IJyrt2P4ADOA8KQfpUYNn9sDrVqJemuHJHkbsUw0jVoJY6YG357i12ir\nOt6I2340iOI/3Zi0NT6R/dulGB4AWHzTcBz53ooX1lZJMjwc8WS4ZRs0sMosU99VlAoGE6+2YPch\naSvjeKn4SRlW/291cIWbaNQqBQw6Jaz26C2jTXo12gT6yiQCj5eFWsnAneJk8FDhTxZAzdkW/Pbt\nvbDaPTAbNRg1OA+Tygrw+3ereA2tggFvTEarVsKSlxlsZCbmCo8mbxO5qBS6Qumk0cbRkzPb+EhL\np2hXmslVnmzEtgPnYLUnP0mhSCB42pPw+VkcPZP8bMK+FgP+9OhUvPTwJCycNxQaVWID/B6vHw4J\n7qhckxZXD8hJ6LkjyTJo4I7SUjqR5Jq0mHh1Plwef3AHa7W5UFtvDxrjZpsbO6suYN+xehQJqAYU\nWQww6qM3nJMqocMHt6hsipJ2TRpt3Z+0ND5dyXA7LKIVlSjMRi1mXdsP119TmPRzJRsFAzS1JXf3\nplIgOJHkZmVg4ohCKMRSpuKEc3/qNMKTX7vTg33H6qHTKKDTKMEw4tlb8TBmSB5yBTLFksHIQbk4\nJPG5//LbOvzyrjEozjcEv7eCCWS4Lf/5WEnHcHl8mD6mCNPH9EWuSQcFc6XRm1h9TiyLStJo6/6k\npdst3gw3hoFot0aNSgF3AnThuAru0ig9SHoCqQiwR17yVrsrIXEyg04Ju7PzbidDo8T9Nw3Hxj2n\nO0klcefl/ju5rBA/XLLhfEN73OPQqBh4fWxYVpdSeZI3UywUU4YSXj/Q4Yq9/wzDBCRoxpTmYcLw\n/KjK0BxOtw+tNmdY0L9fvrQdT6TLzGzSYuTgPMwa1w9mk66TsXB5fGEJB9EWlb2xyLQnk5bGh9vW\nR3t5I2FZIMegFXG5JWam5TJyHE4v+ubqcaGpczFen9wMNNtcSdOg62l8f7EVQ/sHAtlZBq2g7H4s\n8BkeIKBS8ZeNRyQdo/oHq6hMuhT9uEllfXDjxP5hWV3c5PlNdYPg89jmEDY6CgVEExZ+eedoXNXH\niE17zuCNDdK+a5DLqyejXhNMLpBCZBy2qc2FnZXnoVQwYZlpfEZqTGkg+UFoUZlr0uLRBSNhydHT\njqeHkJZuNyDw8s66tl9wW6/TKIPuFKG5IjtTg5GDcwWPmWi9ti+O1KHeyl8FPrhfFrwJUt/uGeWP\n4ryx6SjWbTsOn98vGjNINVabS1BvTKpw6b5jdXBHdM/kMsWeWTQe2Ybou4pIjDqVoEYalxiwac8Z\nbDtwDi3t0t2mOo1SVLBTCKfbK+gyqzreGNY9NDKuwy3WNu05LRIrsqBfvjEtDc+00UVpl2wApOnO\nB+BXrQUCLpvXN3zL6yZpaXfj21ONKM43oMPpSXphKtDZpcTx1dF6+BJge3IMWowcnIvPD0pzq0hB\nDjVoW4cH2w6cg8/nx9wJ/VF+w0AACArHyoWYHIzZpAXLsmi2iU/uLrcf/716P8xGDcYOzQ8rkDTq\nNbh2WH7Mu/i2Dq/gPfKzQGu7O66knMllBXFN8FK7h4rFdaqON+LZ+8cH/59aIfRs0tb4cETWCmQZ\ntHA4hdNkm21uNNvcmHh1AZqOSUsfTlQsKJREHW/csEC1t1qlQOVlN0ZXKcjNQIstMXGXWPn84AXs\nqroQdMU8t3giNuw5gx0HalM+FiAgB8MA2M7TvmP0kDywAG9rDz6abW5sO3AOfpbFT2cPDf48tFiz\nuc0pyfBnGzRQqZS87eRzTVqAZUWfBZVCYGEktJ2KgtTuoWJxHavNCXuHh1ohpAlp63bjw+Xx4fT5\n1qgrUQA4ftYqqE0VCaMIdE1MNPHeHCYie4jbBa544DoUmmN3mURS1+SAX6ZSfj+LTq6YijtGB12s\nXXExct00Y6GlzQWXlz/2wiI+l+eX39aFuaG4+/c/D0zE8p+PlZRdZ9BrMOmaPry/G1NqgSVHL/h8\nZ2dqYMzk/92hE01hY5OK1O6hXLIQH6FGiltUkuHpuaT9zgfoHMCUolcVS/Gnx+PHsFKzoISPggH0\nOhXUSkZSESMQmYa3HgAAHbNJREFUKPjz+PxAjJsLrZrB8p+PhyU7o9OLqVUrMWxADuqauy4qycW/\nNKrE9S5SKhCzq7HqeCM8Pn9wNdzQ4sCKdw7wKi5E26EOLc7C19WxuaIqT/BX2ANAZXUDmDjysJ1u\nHxqsHeiXbwz7uVathCFDIynDsMPpwT1zh6LD4eaVt2m1uzByUC5vltvVA83YK/Asd6V4U0r3ULFk\nIUqfTi96hfGJzLKJt9+OkNHKMepw9+wh0OtUqDreiKa2cGFJPxuQ4Jk2pi/cHr8knblrBplxoFp4\nYhPC62N5DQ8Q2PkdFpksQ5Ea19FrVXB7u17tP7msEHfOHIKX36uK2iI5FKvNCWubCyoEJq5+FgOm\nXFOIHZWdJ9XRQ/JEmwneOGkATAZtcHLUqJVgWTZu6aBYAvmduOzeikw3zjJokWNQR13EWG0utLaH\nu6gMeg027TmNp//6dTCLrDjfgHaHBy12V5hxqjlrjUmBIHKcfAjFYZtanbyZfhTXSW/S3viIBTBj\nUezNNgTkRfgC92NK86DXqnH3rFLMHV+M37z9FTw8K+x9Ry/h5V9MDhopq82JbIMWmRlqdDg9aLa5\nkGPQIDNDgxO1rTF9Tw6fH2hocfD2rm+1uyS5HIGA4dGqFHBFiT21tMdneBRMYBEQWpcRKhr5wyUb\nDlRfwtEzLaJxDrVKAZfHBx/rvzLpCcQlMrRKaDUK3vR1nUaBQrOed3JssHbgjx8eTmgCikmvhr3D\nw7uxVSoCyQrrth3vlG5854zBMOi1UY1PjlGHHJMWtlZH0EW1btvxTqnOTW0uTB9bhLnji8MMwOgh\neQJxrNww4yKcFj0Q9g4PrzHSqpXIzdLx/l2om7i3x3XSMcMtlLQ3PmIBTBbAsjtHoepEIw6fbBKd\n5Nra3ZgzvhhqlUJQ6v3vO05i/3eXeA0PEHCnNLe5eF8sbuX42f5a7KyUFqAWRGBrl6FVSTa4uSYd\nygaZ8XmU4kNjhgq2OPTWfjSm84QXPKZeg7KBuSgbmAuXx4eGFgeeWf0177hdHj8qXtkJs/FKLchB\ngcXGt6eaMWlEIXbxfKcp1/QJjiMySaVfvjGuujExxLTh1CoFPtp1KswlxsW4fD4/OkQSZjjGlOZB\np1HBdvnfYouwwyebcMf0wWH3QegRaXd54fL4gp/lq93ZduAc/n34IlxuX9CoPHLHmLDjCP0dcEWN\nmlpcpzdpb3zE1A7MRh2G9MsOTHLTfaIr3ByjDmaTTnBFFrmqFOSyYYh8sTiXyuGTsbvaQtFplLAI\nvLAOl1fyTm9MaR4WTCvB6fNtOFdvF5yMfDFKL+fG2G9Fq1YCLCs6bpYNL9wV2t0121yYfW0xVEoF\nKmvq0WxzBwQzh1gwY2y/4KTK50LiXD7c3yUTl8ePKgH3aNWJRlHB2xyDNpjhGEq0LLLQOI7L48Mh\ngfPvO3IJJ862BA29kEHj2jZw90WfoUH5lAEAAFuHG98IxNZIjbr3kPbGR2oAU6tWiq5wIz8bajik\nak6JGQYgMEGIuXakBPcnX1Mo+OJKVQYwZKhw69SB+HDXadTW20U/63BJNz4MgEcXjOwUSI+G0E6S\nj+9+aBbc3SmYwO4PABiGAQOg3enF3iMXsbPyPMzGgMuzw+kRdQU993/34yJPi2gxVYHsTDV8bKBe\nKRrZmcIqG612N7IFVDiyDRo8s2g8jHoNXB4fLja2w3fZoMaiJB1NxibM0Et0Re47chFzri3Cpj1n\ncKC6XlDGKh3VqAl+ekWqdaTagZiI4YJpJbyiiQumlQgeX6qQqZhhAALGQSlwRxQM8Pv/mtRJtYGT\nwefESu+aOUR0DEP7R1dktju8WPn/KiUZ1FhyN8wmnajxFUKtkv6YWm1uwV2SnwU+3HUqrHre5fEH\n65WabW7U1ts7Vdb/fcfJ4DG0aiWeXnRt2DMSPL6IjXS4fJIMDxCoHRISFjWbdBhdmsf7u2uH5UOv\nU2HdtuN46u19eOj32/DU2/uwbttxqJSMZCVpsXTnUKrPWpEjscSgscWBdVtPBBQVxHZupEbda0j7\nnQ/An2UjZAQiV/t+Fqitt+PDXacFOyNGEzINrVwXw+3xCaYa+1nA52MFVRvEvlNkUJiTGRLraHm+\nsV1SVqCCAdTK6IkJADCsf3xCqpYcPXQSm+5lGzRgFAzvYiDXpEX1D7G3OY90BWlUqmBixJkLrXjn\nsxpBVxzXaE/s+iiYgBE3hwqLKhjBHTj3e77Yo1gsRWoWmVRtRKvNhetGFErK3szLzpB07SmdOv0T\nDThkMT4vvPACdu7cCbVajf79+2PlypUwmUxJP2+0AGY0aQ8hX7TYyzq5rBA/mztU0gt1LoqL63d/\n+wYTrs5H+Q1XdmFSgrKRExJndEYMyMHR7/l78bAsYMxQw+YQX60XWQwYUpzFW8WvVSvg8fqhUSsB\nsPjiSB2qz1pjivkEjqPE5Gv6SFIKMOg1GNo/m/deDIujnToANLfxu4I0aiXUKiWsIjGgDK0KLo94\njOhHo/ti7gR+YVE+QyG0mJLy/EpdhF2JcQnLF0WWGHDp6XyLmrJBedgpokIhFKsi0hdZjM+UKVPw\n2GOPQaVS4aWXXsKqVavw+OOPyzGUMGIJykYSbbKQQr/Lrhwht1Fbh/tyJtEFuNz+TjEJPsQmpIvN\nHYL1PAoGMGaKGx9Dhgq//ukYaFRKKBgGlTUNsNpcyAm2YB6IdVtPhE34fFlNfGOOnBzvmjkkeI5m\nm3ChcIfTE9R961xcWYJqgfoVMbQaZZgrKHQn2XS5aJlvl5ht0IgmB2QbArptfPdPym49cuEh9fmV\nsmAJPf+7n9XgCx6jHVpiEFlLFHntF5eX4dDxet5rHxqrInoPshif66+/Pvj/o0ePxqeffirHMDoh\n5j7LytQGg9V8dLU2weXxweHyom9eJs5F6Q3DuZ+kTORiE1KLzYVCs543eN43LxMOl3gKtd3hxcbd\nZ3D3rFLBlXjNWf6dFd9OkpvUQzPRQoU2uXOcPt+Kl9cf5D2u1eYS1f9KRMp05E5SaLEwZkgeDp9q\n4g/yG7SSJtxY0o2zDFpoNfw7D41aGVcsRatWYuF/DEOGThVw29pcwbT2SGUCbpx81z4zQyN47a8d\nlk+Gpxcie8LBRx99hKlTp8o9DADi7X2tdheeW7M/KOsvdgwpmlMujw/11g50uLzBAPGTq/ahw+mB\nIUNYDp+PSEn6UKJpZT35M/6ulA/+eISkJIrKmobguSO/u5SVeCjvbQ8EpLn4CSe0+d72E2GfM+rV\ncet/hSafSMV9eScGRC9aDk1ouXt2qeDzNG6YJUkTbvRAHffsxarRxrIsWDbw32hEu/ZSu5cS6UvS\ndj4LFy5EY2PnWoElS5Zg1qxZAIA333wTSqUSP/7xjyUdMydHD5Uq/mCk0+2Ftc2FHJMWOg3/V3/k\njjHQZ2iw78hF1FvDNdBCaxYeKL8mrjH4fH6s3nIU+45cREOLAzqNEo6QTpTcxDt1TF/slthd0mpz\nQqlRw5KXyfv7KaOK8PGe0zw/74uB/fPwxq9motXuwvcX2zCgjwlZBi2cbi8sORmdrkEkzTaX4LmN\nWRmCx8jLzsCgAbnB++B0ewX1xPYeqcODt47Eus9qwq4b/3fti359xRMbHr1rHFrtLlS8slOSgQ0d\n68XGdsEYCMsCv/uvyRh6VU7we4U+T40tDuRlZ+C6sj5YdPMIKIVSG+PkYmO7YFKGy+0DVEps+uL7\n4DW08IyF7x15e9O3YTsWblEQ63tQWJCFR+8aJ+k9TDYWS2zp/qkiU6/ptmNLNEm782vWrBH9/caN\nG7Fr1y6sWbMGjMRlvlWg8Vo0hCRAhGIl5VMGYOaYvnh2zX7eyemLQxdw44TiuLJyIotRHQItkP8d\nQ/+dHKMOPrcHDQ023t/fPKk/r8DkzZP6h/1N32wd3A43GhwBAyjl+ykYwNHuRAPLP+mVlZh5EwWG\nX5WNU983Bd0y5+ptgtfC4fLhtXXfYN+x+rCfAYF0c7fHJ/idhKi3dgg2gYtk5KBc2FodsAHweXww\nGwWKlk06DL0qJ/hZjvIpA3DjhOKwDMXqUw0Jl43xeXyCdVxmkw7vb60JU8+otzrw8Z7T6HC4g5ly\nfN1DvzjEn+gRy3tgsRjD7osK6HSdUkXkWFJxPqm0d7hTOrZkI/bdZVl27N69G2+//TbeffddZGR0\nXeI/GlKkPCJxuLywCqxw4y2Ek1qMCkjXnAOip6fGE49yeXxod0Sv5PezgWsl5EISWlZ8dewSdh+8\nGJzkpgjI/3NUn23h/bleq8JLFTdAxbKi34lPoFMovseX+swRrWiZk7SJPJ8UPbOuIja2kYPMguoZ\nVccb4fP5eeV8xApJqSCU6AqyGJ/f/e53cLvduO+++wAAo0aNwnPPPZeUc8WbPp1l0MKSze8yircQ\nTmoxajQiV/tSfeaxBK9b7S7RFGIOs1EDt9cfpvfF4fL4cFBApiUyaaKeJ+khfDz8Y2mxu6BVq6AS\n2HmJ7XqFJmq+1OdQxDIbfT6/oCBoPIsgqXDGTijTb/qYIl5NOwBotjkF5Xy4QlK+OiYqCCW6gizG\nZ+vWrSk7V7zp01q1EteV9eGNlcRbCBetGDUaXGqumGJwopA61g6XD0//9WveVXwsxvbwafECRCFJ\nmVD1Zj7iLboU24mI7SRXbznKez6fz4/Dp5p4j9cVPTMh4/rs/ROg0Wngc3uCmYdC91NMzkeskJQK\nQomukPYKB7FoWkWy6OYRvLGSeLNzxNwiOk1ggmDA73LLzdLhv++9Nuje0mvVcY1BCD43kVhasu5y\nSm+kgCRwZRXfVWPLYTZqMWpIHq/ad6R6c+R3SlTRJR+RO0lbhxv/FoiPiAmCdsV9JWZcH71rXDB+\nIHY/R5fm4fDJRsF3JLKQlPrrEIkg7Y1PVzojKpWJ7ysitNrmdjOffX2Wt7vklJF9Y07NldLgS8wt\ndevUgdh3tA72kJYJBp0KTz84Eb9fc4C3niR0FS9VpiUaY4dyOyp+SRkhxHZezTYnTp9vRUlRVpel\n+7lr+E11Q1yCoPG6r6IZV6c7vE5LfKcnLOcTWUjaW/vrEIkl7Y0P0PXOiInsKyLmstFr1bh7dimU\nys49gxbdPALNzeLFpxyxZPeJrZxrzraEGR4AsDu9+NP6Q5JdmZHXXkh+hY9cU3RJGTHEdl4MgJfW\nH4y5xQMfkdeQD7NJh5GDcwV3b9x3kbJg4IjmUuY6vHKIXUOpLa4puYBIFL3C+HTHzohCL7LQWGOp\nCZEa2BZbOX9TXY9WgTbQ5xrsyDZqebMBI1fxkd/HoFdj054zon1xFAzwm5+NRZHFGFVSRgyxnRfn\n2uxq0F9qBiPXH+nkudZgm3AFE9DGWzCtJOZyACC6S1koFsZ3DbvjO0KkN7IrHKQSqeoD3YF4xxrN\nFRNa1S66crYLtyZgWWBgH/78fSFXJvd9OBfOigcnoY+Z34gUWQwo6ZudkPsUWlXPXFYg4ENMJUKM\naEkV2QZNsIqfU0znrmuoYjq3YBBr5xCJmCIHFwuLlZ70jhA9m15lfHoDsUjaiErvGDSCE7VCAfx0\nztAuSaXw9cXhpH2W/3yspGNIgVvR/88DE/HLO0cLGlQ+uR8piF9DLZ5dNAF3zyqF18cKLgoqaxok\nLxgiIckaoqfSK9xu8RDZCbKnEEt2n5hbatywfNScbeHtZDqg0IRsg7bLbprQvjjn6u3ol29ImsCk\nVq1ESVGWoAJAvEF/8Wt4Rb9NfFEgbPSiZcKRu4zoqZDxiSDM9x6h4JuIKvRkE2t2n2jBpN+PFe9U\ndopRvPR/bkDr5VhCIoLQRr0GwweYu3QMKXQl81EMKcF68UWBFgyDLhlFSgZID3pLIzmAjE8nklmF\nnipiye4TWzkrFQrenYlGJjHIRCDl2sSScQaEX0OlRh0s7AxFzPCNHRqI2yTaKBJEd6bnziJJIF4p\nnu4GNxnePHmAZHeW2Mo5VTuTVCBmbOPJOAtFq1bCkpcpKAwpxfBRIWdqiXWhQSQOMj4hdKWTaXei\nq5Nob4DP2CZ71xstPkOxm9RB74j80FUOIVrjtZ4iohhP2m5vJ5YU9a4ils5Mqc6pgd4R+SHjE0K0\nuomeMCGkchJNJ2Ltukr0XJxuL70j3QAyPhEks24i3vbFsUCTaHyky66XiI61jd6R7gDFfCKQkrkU\nK6n0L3dFxbs3k6w0bKL7kWOid6Q7QDsfAbRqJfrkZSZk0kmlfzkdXIdyQWoBvQOdRkXvSDeAdj5J\nRo707a6qePdWSC2g90DviPyQ8UkycqRvp3ISTcc6CVILSH9ooSE/ZHySjJwxmGROolQnQaQDtNCQ\nD5olkky6xmCoToIgiK5AxicFpFsgm+okCILoKuR2SwHp5l+WUidBrgyCIMSgnU8KSRfpFK5Ogvd3\nVCdBEIQEyPgQMUN1EgRBdBVyuxFxQXUSBEF0BTI+aUaq6m7SLY5FEERqIeOTJshVd0N1EgRBxAMZ\nnzQhHdp/EwTRe6CEgzSAevgQBNHTIOOTBlAPH4IgehqyuN1ee+01bN++HQqFArm5uVi5ciUKCgrk\nGEpaQD18CILoaciy81m8eDG2bNmCzZs3Y9q0afjLX/4ixzDShnTVjyMIIn2RZedjMBiC/+9wOMAw\njBzDSCuo7oYgiJ4Ew7IsK8eJX331VWzatAlGoxHvvPMOzGZz1L/xen1QqWgVL4bT7YW1zYUckxY6\nDSUzEkRPojfNcUkzPgsXLkRjY2Onny9ZsgSzZs0K/nvVqlVwuVyoqKiIesyGBltCxxgNi8WY8nMK\nQWMRpjuNh8bCT28ei8VilPzZ7nKNEoXYd0/a0njNmjWSPjd//nw89NBDkowPQRAEkR7IknDw/fff\nB/9/x44dKCkpkWMY3RqXx4d6awfV6BAEkZbIEhR45ZVXcObMGTAMg6KiIjz77LNyDKNbIiST88gd\nY+QeGkEQRMKQxfi8/vrrcpy2RyAkk6PP0KB8ygD5BkYQBJFASOGgGyEmk7PvyEVywREEkTaQ8elG\niMnkNLY4SCaHIIi0gYxPN4KTyeEjLzuDZHIIgkgbyPh0I8Rkcq4r60MyOQRBpA1UAt/NEJLJWXTz\nCDQ3t8s8OoIgiMRAxqebIdSeWqmkTSpBEOkDGZ9uCrWnJgginaHlNEEQBJFyyPgQBEEQKYeMD0EQ\nBJFyyPgQBEEQKYeMD0EQBJFyyPgQBEEQKYeMD0EQBJFyyPgQBEEQKYeMD0EQBJFyGJZlWbkHQRAE\nQfQuaOdDEARBpBwyPgRBEETKIeNDEARBpBwyPgRBEETKIeNDEARBpBwyPgRBEETKoWZyAC5evIgn\nnngCjY2NUCgUuOOOO3DvvfeipaUFS5cuxfnz51FUVITXXnsNWVlZSR+Py+XCPffcA7fbDZ/Ph7lz\n56KiogK1tbVYtmwZWltbcfXVV+PFF1+ERqNJ+nh8Ph9uu+02FBQUYNWqVbKNAwBmzJiBzMxMKBQK\nKJVKbNiwQbb71NbWhqeeegrHjx8HwzB4/vnnMXDgwJSP5fTp01i6dGnw37W1taioqEB5ebks1wUA\n1qxZgw8++AAMw6C0tBQrV65EfX29LM/N3/72N3zwwQdgWRa33347Fi5cKNszQ4TAEuylS5fYI0eO\nsCzLsjabjZ0zZw574sQJ9oUXXmBXrVrFsizLrlq1in3xxRdTMh6/38/a7XaWZVnW7XazCxYsYKuq\nqtiKigr2H//4B8uyLPvb3/6WXbt2bUrGs3r1anbZsmXsgw8+yLIsK9s4WJZlp0+fzjY1NYX9TK77\n9MQTT7Dvv/8+y7Is63K52NbWVtnGwuH1etnJkyez586dk20sdXV17PTp01mHw8GybOB5+eijj2R5\nbmpqatibbrqJ7ejoYD0eD3vvvfeyZ86ckf0+ESxLbjcA+fn5GDFiBADAYDCgpKQEly5dwvbt21Fe\nXg4AKC8vx7Zt21IyHoZhkJmZCQDwer3wer1gGAb79u3D3LlzAQC33nortm/fnvSx1NXVYdeuXViw\nYAEAgGVZWcYhhhz3yW63Y//+/cHrotFoYDKZZHtmOPbu3Yvi4mIUFRXJOhafzwen0wmv1wun0wmL\nxSLLc3Pq1CmMGjUKGRkZUKlUGD9+PLZu3Sr7fSIo5tOJc+fO4bvvvsOoUaPQ1NSE/Px8AAED1dzc\nnLJx+Hw+3HLLLZg8eTImT56M4uJimEwmqFQBT2lhYSEuXbqU9HE8//zzePzxx6FQBB4Vq9UqyzhC\nuf/++/GTn/wEf//73wFAlvtUW1sLs9mMJ598EuXl5Vi+fDk6OjpkfWYA4J///Cfmz58PQJ7rAgAF\nBQVYtGgRpk+fjuuvvx4GgwEjRoyQ5bkpLS3FgQMHYLVa4XA4sHv3btTV1cl+nwgyPmG0t7ejoqIC\nv/nNb2AwGGQdi1KpxObNm/H555/j8OHDOH36dKfPMAyT1DHs3LkTZrMZZWVlop9L9jhCee+997Bx\n40a8/fbbWLt2Lfbv35+yc4fi9Xpx7Ngx3HXXXdi0aRMyMjLw1ltvyTIWDrfbjR07dmDevHmyjqO1\ntRXbt2/H9u3bsWfPnuCkH0kqnptBgwZh8eLFWLRoERYvXoyhQ4dCqVQm/bxEdMj4XMbj8aCiogI3\n33wz5syZAwDIzc1FfX09AKC+vh5msznl4zKZTJg4cSIOHjyItrY2eL1eAAF3GLdySxaVlZXYsWMH\nZsyYgWXLlmHfvn1YsWJFyscRSkFBAYDAvZk9ezYOHz4sy30qLCxEYWEhRo0aBQCYN28ejh07Jusz\ns3v3bowYMQJ5eXkA5Ht+v/zyS/Tr1w9msxlqtRpz5sxBVVWVbM/N7bffjo0bN2Lt2rXIzs7GVVdd\n1S3e7d4OGR8E4hjLly9HSUkJ7rvvvuDPZ8yYgU2bNgEANm3ahJkzZ6ZkPM3NzWhrawMAOJ1OfPnl\nlxg0aBAmTpyIzz77DACwceNGzJgxI6njeOyxx7B7927s2LEDf/jDH3DdddfhlVdeSfk4ODo6OmC3\n24P//8UXX2DIkCGy3CeLxYLCwsLgjnTv3r0YNGiQbM8MEHC53XTTTcF/yzWWvn374tChQ3A4HGBZ\nFnv37sXgwYNle26ampoAABcuXMC//vUvzJ8/X9b7RAQgVWsABw4cwD333IPS0tJgbGPZsmUYOXIk\nlixZgosXL6JPnz744x//iOzs7KSPp7q6Gr/+9a/h8/nAsizmzZuHRx55BLW1tVi6dClaW1sxfPhw\nvPzyyylLcf7qq6+wevXqYKq1HOOora3FL37xCwCBmNj8+fPx8MMPw2q1ynKfvvvuOyxfvhwejwfF\nxcVYuXIl/H6/LGNxOByYNm0atm3bBqPRCACyXRcA+NOf/oRPPvkEKpUKw4cPx4oVK3Dp0iVZnpu7\n774bLS0tUKlUePLJJzFp0iRZrw0RgIwPQRAEkXLI7UYQBEGkHDI+BEEQRMoh40MQBEGkHDI+BEEQ\nRMoh40MQBEGkHDI+BEEQRMoh40MQBEGkHOrnQ6Q9jz32GM6cOQOPx4P+/fvj+eefR1ZWFl599VV8\n8sknyM7OxoQJE7B3715s2LABQKACf926dfD5fDAYDHjmmWdQUlIi8zchiPSBikyJtKe5uTmo3fXq\nq6/C5/Nh7NixeO2117B+/XrodDpUVFTgwoUL2LBhAw4cOIC33noLf/7zn6HRaPD555/jzTffxPr1\n62X+JgSRPtDOh0h7Nm/ejC1btsDj8aCjowMDBgyAx+PBjTfeCL1eDyDQ0+WNN94AAOzYsQPV1dW4\n/fbbAQS0/zitPYIgEgMZHyKtOXDgAN577z2sX78eZrMZW7Zswfvvvw+WZQUl/VmWxW233YZHH300\nxaMliN4DJRwQaU1bWxsMBgOys7Phdrvx0UcfAQAmTpyITz/9FA6HA36/Hx9//HHwb2bMmIHNmzej\nrq4OQEDE9MiRI7KMnyDSFdr5EGnN1KlT8fHHH+PGG29EQUEBysrK8O2332LmzJmoqqrCLbfcgoKC\nAowaNQqtra0AgPHjx2PJkiV4+OGH4fP54PF4MG/evKhN9QiCkA4lHBC9FrvdDoPBAL/fj+XLlyM/\nPx9Lly6Ve1gE0SugnQ/Ra/nVr36F8+fPw+l0YsSIEXjggQfkHhJB9Bpo50MQBEGkHEo4IAiCIFIO\nGR+CIAgi5ZDxIQiCIFIOGR+CIAgi5ZDxIQiCIFIOGR+CIAgi5fx/wXmt/0ZGq04AAAAASUVORK5C\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc9d538a898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.jointplot(bcs['age'], model.resid_response)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Autocorrelation plot (most useful for time series):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SwIEDO2ZaAAC6oIAx9nq9crvd/u24uDh5vd5m+5SWluqLL77Qtddeq5/+9KcqLi4O/qQA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\nqVq4cKG++uqrDnv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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc9d50a45c0>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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SwIEDO2ZaAAC6oIAx9nq9crvd/u24uDh5vd5m+5SWluqLL77Qtddeq5/+9KcqLi4O/qQA\nAHRRAS9TW5bV4jaHw9Fs2+fzaf/+/XruuedUUVGh+fPnq7CwUH379j3tcQcMOFsuV0Q7Rm7J6fx6\nnpiYPkE5XnfHOtrHGtrHGtrHGtrXWWsYMMZut1sVFRX+ba/Xq9jY2Gb7xMXFadSoUerRo4cSEhL0\nox/9SKWlpRoxYsRpj3v0aK2NsZtrarLkdDpUVVUdtGN2VzExfVhHm1hD+1hD+1hD+4K9hm2FPeBl\n6uTkZJWWlqqsrEwNDQ3yeDxKSUlpts+UKVO0detWSdKRI0dUWlqqhIQEm2MDANA9BDwzdrlcys7O\nVmZmpnw+nzIyMpSYmKjc3FwlJSVp8uTJuvzyy/Xee+9p+vTpioiI0L333qsBAwZ0xvwAAIQ9h9Xa\nm8KdIJin/pdckiSn06Ft23YG7ZjdFZe27GMN7WMN7WMN7Qupy9QAAKBjEWMAAAwjxgAAGEaMAQAw\njBgDAGAYMQYAwDBiDACAYcQYAADDiDEAAIYRYwAADCPGAAAYRowBADCMGAMAYBgxBgDAMGIMAIBh\nxBgAAMOIMQAAhhFjAAAMI8YAABhGjAEAMIwYAwBgGDEGAMAwYgwAgGHEGAAAw4gxAACGEWMAAAwj\nxgAAGEaMAQAwjBgDAGAYMQYAwDBiDACAYcQYAADDiDEAAIYRYwAADCPGAAAYRowBADCMGAMAYBgx\nBgDAMGIMAIBhxBgAAMOIMQAAhhFjAAAMI8YAABhGjAEAMIwYAwBgGDEGAMAwYgwAgGHEGAAAw4gx\nAACGnVGMi4uLlZaWptTUVOXl5Z12v9dee00XXnihdu7cGbQBAQDo6gLG2OfzKScnR/n5+fJ4PCos\nLNTevXtb7FdTU6PnnntOI0eO7JBBAQDoqgLGuKSkREOHDlVCQoIiIyOVnp6uoqKiFvvl5uYqMzNT\nPXv27JBBAQDoqgLG2Ov1yu12+7fj4uLk9Xqb7bN7925VVFRo0qRJwZ8QAIAuzhVoB8uyWtzmcDj8\n/97U1KRHHnlEjzzyyPd64gEDzpbLFfG9HnM6TufX88TE9AnK8bo71tE+1tA+1tA+1tC+zlrDgDF2\nu92qqKjwb3u9XsXGxvq3T5w4oc8//1w///nPJUlVVVW6+eabtXLlSiUnJ5/2uEeP1tqZu5mmJktO\np0NVVdVBO2Z3FRPTh3W0iTW0jzW0jzW0L9hr2FbYA8Y4OTlZpaWlKisrU1xcnDwej5544gn//X36\n9NHWrVv92wsWLNC9997bZogBAMC3AsbY5XIpOztbmZmZ8vl8ysjIUGJionJzc5WUlKTJkyd3xpwA\nAHRZDqu1N4U7QTBP/S+5JElOp0PbtvH3m+3i0pZ9rKF9rKF9rKF9nXmZmm/gAgDAMGIMAIBhxBgA\nAMOIMQAAhhFjAAAMI8YAABhGjAEAMIwYAwBgGDEGAMAwYgwAgGHEGAAAw4gxAACGEWMAAAwjxgAA\nGEaMAQAwjBgDAGAYMQYAwDBiDACAYcQYAADDiDEAAIYRYwAADCPGAAAYRowBADCMGAMAYBgxBgDA\nMGIMAIBhxBgAAMOIMQAAhhFjAAAMI8YAABhGjAEAMIwYAwBgGDEGAMAwYgwAgGHEGAAAw4gxAACG\nEWMAAAwjxgAAGEaMAQAwjBgDAGAYMQYAwDBiDACAYcQYAADDiDEAAIYRYwAADCPGAAAYRowBADCM\nGAMAYBgxBgDAsDOKcXFxsdLS0pSamqq8vLwW969atUrTp0/XzJkzdcMNN+jgwYNBHxQAgK4qYIx9\nPp9ycnKUn58vj8ejwsJC7d27t9k+w4YN04svvqhXXnlFaWlp+t3vftdhAwMA0NUEjHFJSYmGDh2q\nhIQERUZGKj09XUVFRc32GTt2rHr16iVJGjVqlCoqKjpmWgAAuqCAMfZ6vXK73f7tuLg4eb3e0+6/\nbt06TZw4MTjTAQDQDbgC7WBZVovbHA5Hq/tu2LBBu3bt0po1awI+8YABZ8vlijiDEQNzOr+eJyam\nT1CO192xjvaxhvaxhvaxhvZ11hoGjLHb7W522dnr9So2NrbFflu2bNHTTz+tNWvWKDIyMuATHz1a\n+z1HPb2mJktOp0NVVdVBO2Z3FRPTh3W0iTW0jzW0jzW0L9hr2FbYA16mTk5OVmlpqcrKytTQ0CCP\nx6OUlJRm++zevVvZ2dlauXKlBg4caH9iAAC6kYBnxi6XS9nZ2crMzJTP51NGRoYSExOVm5urpKQk\nTZ48WY899phqa2t1xx13SJIGDx6sp59+usOHBwCgK3BYrb0p3AmCeep/ySVJcjod2rZtZ9CO2V1x\nacs+1tA+1tA+1tC+kLpMDQAAOhYxBgDAMGIMAIBhxBgAAMOIMQAAhhFjAAAMI8YAABhGjAEAMIwY\nAwBgGDEGAMAwYgwAgGHEGAAAw4gxAACGEWMAAAwjxgAAGEaMAQAwjBgDAGAYMQYAwDBiDACAYcQY\nAADDiDEAAIYRYwAADCPGAAAYRowBADCMGAMAYJjL9ADdQeWxOj3j2aN9B7/SeT/op0XpwxTbv5fp\nsQAAIYIz407wjGePPi87Jl+Tpc/LjukZzx7TIwEAQggx7gT7Dn7V5jYAoHvjMnUnOO8H/fR52bFm\n26GGS+kAYA5nxp1gUfow1VTtldXk0wUJ/bUofZjpkVrgUjoAmMOZcSeI7d9L+zb/tyRp1ce7DE/T\nOi6lA4A5nBlDUstL56F4KR0AuipiDEnhcSkdALoqLlND0reX0p1Oh1Zt22l6HADoVogx0E3wiXkg\ndHGZGugm+MQ8ELqIMdBN8Il5IHQRY6Cb4BPzQOgixkCQVB6r06N//kSz7nlZj/75E1UeqzM9UjN8\nYh4IXXyACwiSb96TleR/T3bZ/B8bnupb4fDlM0B3xZkxECS8JwugvYgxECS8JwugvYgxECS8Jwuc\nmW8+X/H/Hns7JD9fYQLvGQNBwreYAWcm1D9fYQIxRljg26OAroPPV7TEZWqEBb49CqGAy6vBwecr\nWuLMuJNYkpp8Tao4Uvv9H2tZwR+oFT5fkyzLqUOHT7T7GLYnPc1r3XvgqxbbB6tq7D5b0DX6muS0\nnO2arTP+lBt9TZKkA3bXroOGPXL8pF76+xcqq6xRQmyUZk/4kaL7ntUxT9YOf9y4R/srqiV9fXl1\nZcEu/WJ6aH02INTXUJKm/9c5+vjjbYoadK5+GN9f0/7rHJVVhs5/z0eOn1TB37/QgcqaTrsSR4w7\niyU1WdKx6nrTk5xWkyXJsnT8RIPpUVqIH9S7WUDiB/VWde0pgxO1zrK+/uEpFGeTvv1ZpyZE51v3\nzr/8f877K6q17p1/6fopiYan+laZt7rFdk1daK1lqK+hJEX2iND/FOVKkpa+/J4k6UQIreOL/7GG\nnfWeNpepERamjz1H1ZX/VFOTT0NiojR97DmmR0IHOHS4ps1t0+IHRbW5HQpCfQ3DwXfXrDPe0z6j\nGBcXFystLU2pqanKy8trcX9DQ4PuvPNOpaamau7cuTpw4EDQB0X31j+qp/6nKFef/O0OXT8lUf2j\nepoeCR0g1GMXDj8UhvoahoPvrllnvKcdMMY+n085OTnKz8+Xx+NRYWGh9u7d22yfF154QX379tWb\nb76pG2+8UY8//niHDQyg6/omdlaIxi4cfigM9TUMB/+5hp31nQEB3zMuKSnR0KFDlZCQIElKT09X\nUVGRzj//fP8+mzZt0m233SZJSktLU05OjizLksPh6KCxAXRF38TO6XRoacHfTY8TllhD+75Zw8ge\nEVr1Ued8Z4DDCvBR3ddee03vvvuuVqxYIUkqKChQSUmJsrOz/fvMmDFD+fn5crvdkqQpU6Zo7dq1\nio6OPu1xb3zw9WDML0kqLz8oSRo8+AdBO2awlZcflGVJMXGDTY9yWlXecskhxcSG5oxV3nJJrKEd\nrKF9rGFwhPo6VnnL5XAEtyurf5N22vsCnhm31urvnvGeyT7f5YxwKFjnzUOGDAnSkTrOD4YM0anG\nJtNjtClucLzpEdoU6vNJoT9jqM8nhf6MoT6fxIzBEDc4Xj0inOqsC7wBY+x2u1VRUeHf9nq9io2N\nbbFPeXm53G63GhsbVV1drf79+7d53P//y3HtHLl1MTF9VFVVHXhHQ5r+78sqQl3//mfr2LHv/3eh\n8S3W0D7W0D7W0L7RyfGqOd45X+wS8ANcycnJKi0tVVlZmRoaGuTxeJSSktJsn5SUFL300kuSpNdf\nf11jx47l/WIAAM5QwDNjl8ul7OxsZWZmyufzKSMjQ4mJicrNzVVSUpImT56sOXPm6J577lFqaqr6\n9eunp556qjNmBwCgSwj4Aa6OEuxLylymDg4ubdnHGtrHGtrHGtoX7MvUMTF9TnsfX4fZiSJ7RJz2\nPqu9X/bbjoe19ZAeLqdcrjbevbD5o1u7X+d/HsPIj49nzul0yOnkbZq2BDoHcDjUaR+c6apYQ/s6\nc/mIcSdxOh06N76v6TEC+voKQw/TY4S1r9cw0vQYYS3Ur3SFA9bQvrN6utRZK8h3UwMAYBgxBgDA\nMGIMAIBhxBgAAMOIMQAAhhFjAAAMI8YAABhGjAEAMIwYAwBgGDEGAMAwYgwAgGHEGAAAw4gxAACG\nEWMAAAxzWIF+sSgAAOhQnBkDAGAYMQYAwDBiDACAYcQYAADDiDEAAIYRYwAADOsSMS4uLlZaWppS\nU1OVl5dnepywU15ergULFmjatGlKT0/Xn/70J9MjhS2fz6dZs2bpl7/8pelRwtLx48e1ZMkSXXnl\nlZo2bZo+/fRT0yOFpdWrVys9PV0zZsxQVlaW6uvrTY8U8pYvX65x48ZpxowZ/tuOHTumhQsXaurU\nqVq4cKG++uqrDnv+sI+xz+dTTk6O8vPz5fF4VFhYqL1795oeK6xERERo2bJlevXVV/W3v/1Nf/nL\nX1jDdnr22Wd13nnnmR4jbK1YsUKXX365XnvtNW3YsIG1bAev16tnn31WL774ogoLC+Xz+eTxeEyP\nFfKuueYa5efnN7stLy9P48aN0xtvvKFx48Z16Mle2Me4pKREQ4cOVUJCgiIjI5Wenq6ioiLTY4WV\n2NhYDR8+XJIUFRWlc889V16v1/BU4aeiokKbN2/WnDlzTI8SlmpqarRt2zb/+kVGRqpv376GpwpP\nPp9PJ0+eVGNjo06ePKnY2FjTI4W8MWPGqF+/fs1uKyoq0qxZsyRJs2bN0ltvvdVhzx/2MfZ6vXK7\n3f7tuLg4QmLDgQMHtGfPHo0cOdL0KGHn4Ycf1j333COnM+z/szKirKxM0dHRWr58uWbNmqX77rtP\ntbW1pscKO3FxcVq0aJEmTZqkCRMmKCoqShMmTDA9Vlj68ssv/T/IxMbG6siRIx32XGH/f43Wvs3T\n4XAYmCT8nThxQkuWLNGvfvUrRUVFmR4nrLz99tuKjo5WUlKS6VHCVmNjo3bv3q3rrrtOBQUF6tWr\nF58BaYevvvpKRUVFKioq0rvvvqu6ujpt2LDB9FgIIOxj7Ha7VVFR4d/2er1ckmmHU6dOacmSJZo5\nc6amTp1qepyw88knn2jTpk1KSUlRVlaWPvjgA919992mxworbrdbbrfbf1Xmyiuv1O7duw1PFX62\nbNmiIUOGKDo6Wj169NDUqVP5IFw7DRw4UJWVlZKkyspKRUdHd9hzhX2Mk5OTVVpaqrKyMjU0NMjj\n8SglJcX0WGHFsizdd999Ovfcc7Vw4ULT44Slu+66S8XFxdq0aZOefPJJjR07Vo8//rjpscJKTEyM\n3G63/vWvf0mS3n//fT7A1Q7x8fHasWOH6urqZFkW62hDSkqKCgoKJEkFBQWaPHlyhz2Xq8OO3Elc\nLpeys7OVmZkpn8+njIwMJSYmmh4rrHz88cfasGGDLrjgAl199dWSpKysLF1xxRWGJ0N3c//99+vu\nu+/WqVOnlJCQoEceecT0SGFn5MiRSktL0+zZs+VyuTRs2DDNmzfP9FghLysrSx9++KGOHj2qiRMn\n6vbbb9fixYt15513at26dRo8eLByc3M77Pn5FYoAABgW9pepAQAId8QYAADDiDEAAIYRYwAADCPG\nAAAYRowBADCMGAMAYBgxBgDAsP8F6oKBaeU8HmsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc9d50a45c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_acf(model.resid_response, lags=10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Normal Q-Q plot for residuals:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wTTmHzAHcGIY5ZJZGFfEVjwEOxauv/frrrxQUFBzbdvHFF/utKBEJbxGfrsd2\n151Y/thH4VVtcDw/l+adGvH77+UZMoe/h83D84EYIifjMcDfffddJk2ahN1uJzk5mT179tC0aVPS\n09MDUZ+IhBOnk9hnniL2uafBbCb7/ofIGzqC5FoJlHfIXNe8parz+ImZM2cOy5cvp169enzwwQfM\nnz+f//znP4GoTUTCiPm3vZyS0oW4KZNxn16Xw2+/T97wexTeIhXk8VNjtVo59dRTj63C1rJlS7Zv\n3+73wkQkfES+s4LEdi2J+PJz8rulkLV6A3VvbkdycjzlC2+Dtm2dCm8RyjCEHhkZiWEY1KtXjxde\neIE6deqQlZUViNpEJNTl5RH/8P3ELJqPEROD49np5N92B8k1yhvcoK5b5EQeA3z48OFkZ2czevRo\nHn74YRwOBw899FAgahOREGbZ/hMJA/ti3fYDzrObYZ+7GNdZTSswyxxMJjcZGQpvkeN5DPDLL78c\nAJvNxuLFi/1dj4iEOsMg+qWlxN8/FlNeHnl39Cf70Yn07FOdNWsslG+WucGAAUVMnFjg+aUiVYzH\nAJ88eXKJ28eOHevzYkQktJnsR4i/ZzjRby3HXe0U7DPnUti1e4W6bg2Zi5ycxwCPjY099u+CggLW\nrl3Lueee69eiRCT0WL/5ioRB/bHs2U3RJZdhnz0fd90zKhDeWs9cpCw8BvjQoUNP+Do1NZUxY8b4\nrSARCTFuNzEzpxL35GPgdpMzaiy5o8fR81ZbBYbM1XWLlFWZVmI7XlxcHHv27PFHLSISYswZ+7EN\nSSVy3RpcNWvheH4eRVe20pC5SACU6xq4YRh8//33NGjQwK9FiUjlF7H6IxKGpmI+eJCCqzvhmDYb\n49RTFd4iAVKua+AWi4VevXpx9dVX+7UoEanECguJe+IRYmfPwIiMJPvxp8i7czANGsaTk1PetcwN\n2rZ1sWxZnr+qFQlb5b4GLiJVl/mX/yNhUD8ivt2Ms2EjHPMW4zyvubpukSA46Sfuiy++4Pbbb+fS\nSy/l0ksvZdCgQceWUS0sLAxIgSJSOUS9vozE9lcR8e1m8nv2Juvj9QpvkSAq9VP3/vvvM3bsWK69\n9loWL17M4sWLadWqFcOHD+enn35i8ODBgaxTRIIlOxvb3YNIuOtOAOzPz8MxYw7JDWtUaC1zhbeI\nb5Q6hJ6WlsaCBQto3LjxsW1nn302F110ETfddBPXXXddQAoUkeCxbv0O28C+WP/vZ4qan489bSHu\nho3UdYtUAqV+AgsKCk4I76OaNGlCcnIyjzzyiF8LE5EgMgxi5j7PKZ3bY/2/n8kdfDeH3/mI0y77\nTwW6blB4i/heqR14UVERRUWHRYTyAAAgAElEQVRFREREnLC9sLAQwzCwWst9C7mIhADTn39iGz6Y\nqA/fx33aadhnzKGw/dUV7LoNzGaD/fsV3iK+VuqnsX379tx77704HI5j2+x2O+PGjaN9+/YBKU5E\nAivi0/Uktr2CqA/fp/CqNmSt+cyL8HZz4EC2wlvET0r9RI4aNYro6Ghat25NSkoKKSkptGnThujo\naO65555A1igi/uZ0EvvU41S74TrMmQfIfuBhjrz2Jqed10hD5iKVVKnj4JGRkUycOJGhQ4eyY8cO\nDMOgSZMm1KlTJ5D1iYifmX/bS8Kg/kR89QWuM+phn7OAWiltKXi8vIuygB5EIhI4Hi9k165dm9q1\naweiFhEJsMiVb2MbORTzkcPkd0sh+9lpJDWuQ/k7blDXLRJYFfmUikioy8sjfuxIqvW7DVNhAY5n\npxPz9mskNT6dikxUU3iLBF5QA3zdunVcc801dOzYkblz5wazFJEqw7L9JxI7tSNm8QKcZzcj68NP\nSLhnCFDeR3/C0YlqCm+RwAtagLtcLh599FHmz5/PO++8w8qVK/n555+DVY5I+DMMmDePxKtbY932\nA3l9B2Db9hWnXnUR6rpFQo/HT+2ff/7J6NGjufXWWwH46aefeOWVV7w+8JYtW6hXrx5169YlMjKS\nLl26sGrVKq/3KyL/ZjpyGNudfWDgQIzIKFJ4ndhFc8knDnXdIqHJ4yS2Bx54gFatWvHyyy8D0LBh\nQ8aMGcMtt9zi1YEzMjKoWbPmsa9r1KjBli1bTvqexMRYrFaLV8cNhqQkW7BL8ItwPS8Is3P7/HO4\n5RbYvRtatqT+py+zlzMqvDvDMAOV779PWP3M/kHnFnoCcV4eAzwjI4NbbrmFZcuWAcW3l5nN3o+8\nG4bxr20m08k7gaysXK+PG2hJSTYyMx2eXxhiwvW8IIzOze0mZsZzxD31OLjdPMYDPPrpQ7g8f+xL\n2tmxjjsz07dl+kLY/MxKoHMLPb48r5P9IeDxk/zPJVPtdnuJ4VteNWvWZP/+/ce+zsjIIDk52ev9\nigiYM/Zju2sgkevX8ju1uZUX+YS2FdiTQbNmbtauDb0/nkXCncdW+uqrr+bBBx8kJyeH5cuX069f\nP3r06OH1gc877zx27drF3r17KSws5J133qFdu3Ze71ekqotc9SGJba8gcv1aVnAdzfmuguFdfK1b\n4S1SOXnswAcMGMDbb7+N3W7nk08+4fbbb6d79+7eH9hq5cEHH2TAgAG4XC569OhR4tPPRKSMCguJ\ne/xhYufMpIBIxjCNGdxNRVZTS0vLJyXF6YciRcRXynQxrFu3bnTr1s3nB2/dujWtW7f2+X5Fqhrz\nL/9HQmo/Ir7bzHaa0ItX+Zbzy7kXLYMqEkpKDfDJkyef9I1jx471eTEiUn5Rr72KacgoIshmEX24\nmxnkEF/OveiebpFQU2qAx8bGBrIOESmv7Gw2XTGWa/a/iB0bvXmJV+hdzp0YDBhQxMSJBX4pUUT8\np9QAHzp0aCDrEJFysG75lswO/bmGnXzNRfTiVX6hUTn2oOFykVDn8Rp4dnY2zz//PF988QUmk4nL\nLruMwYMHEx9f3iE6EfGaYfB4jYVM5l6aUMjTjOZ+nqCIyHLsRMPlIuHA421k48eP5/DhwzzwwAOM\nHz+eI0eOMH78+EDUJiLHaZacy5c1ejONkRyhGp14j7E8XcbwLl673DBQeIuECY8d+C+//MLKlSuP\nfX3hhRdy3XXX+bUoEflbcnIcbVjLd9xGbf7gIzpwOy+QQU3PbwZO7LjDc9lKkarIYwdeu3ZtDh06\ndOzrrKwsTj/9dL8WJSLQs2cMtZKjeZSHWEUHksjkXp7iGj4oY3jriWEi4cxjBx4bG0v37t1p27Z4\nJae1a9dy+eWXH7vNTLeTifhWcnLxE8LOYA9ruZUr+ZRfqc8tvMKXXFaGPWiCmkhV4DHAzzzzTM48\n88xjX998881+LUikqqpdOw6n0wSYSGE5C+hPIodZxs2kksYRTinDXtRxi1QVHgNct5OJ+FfdunEU\nFBQHdzR5TGEUg5lDLjH0Zz4L6Yfn5VDVdYtUNR4DPD8/n5UrV7Jnzx6czr/XRtbQuYj3iofLi6ei\nNOMHXqUX5/E9WziPXrzKNpp52IOCW6SqKlMHbjabOeecc4iMLM+9piJSkqPXuIuZAIM7mcdURhBL\nHrO4i9E8Qz4xJ9mLglukqvMY4H/88QfvvPNOIGoRCWtt2sTy449mjh8Or8Zh5jKQm3mNQyRyKy/x\nJikn2YuCW0SKeQzwxo0bc+DAAZKTkwNRj0hYOn6o/KjL+JxXuIX67GY9V3IrL7GXM0rZg4JbRE5U\npiH0m2++maZNmxIVFXVs+7Rp0/xamEg4+Hu4/O+u24yLe5nEozyICYNHeJDHmICrxI+jgltESuYx\nwMeOHUu7du1o1qwZFoslEDWJhLySghugFvtYyn/pwCp+ow638hLraF3CHhTcInJyHgO8qKiIBx98\nMBC1iIS80oIboDPvsoQ7SOIgb9OVfizkT04rYS+6l1tEPPO4lGqLFi3Yvn17IGoRCVnJyXEkJ8dT\n/JE6MbwjKeBZRvEuXUjAzt1Mpztv/SO8izvuxESFt4iUjccOfMuWLfTo0YMGDRqccA389ddf92th\nIqHgZB03wJns5FV6cSGb+Imz6MWrfEeL416hoXIRqRiPAX7//fcHog6RkOIpuAFu5UVmMxgb2Syk\nL8OYTg7xf31XwS0i3vEY4Jdcckkg6hAJCWUJ7ngczGQod7AUOzZu4WVe5ZbjXqFhchHxnscAdzgc\nzJs3j23btlFQUHBs+9KlS/1amEhlUpbgBjifTbxKL5qwk6+4mFt4hV9o9Nd31XWLiO94nMQ2fvx4\nzGYzu3bt4uabb8ZisfCf//wnELWJBF2DBqVPTjuRwXCm8gWX0YSdTGYMV7Lhr/A2sFrdHDiQrfAW\nEZ/xGOC7d+9mxIgRREdHc91115GWlsb3338fiNpEgio5OY6cHE/BDaeRyQq6MpWRZJHINbzPvUym\niAiiooqDe98+BbeI+JbHIfSjDzCJiIjg8OHDVKtWjf379/u9MJFgMZkA4vH8CE9owxpe4lZq8wcf\n0pH/spQMaqDr3CLibx4DvH79+hw+fJiuXbvSs2dPbDYbZ599diBqEwm44mvd4Cm8LTh5mIcZz0Rc\nWBjLJJ7hHgxMHDiQ7f9CRaTK8xjgzzzzDAB9+/blvPPOw+Fw0KpVK78XJhJIZZ2kBnAGu3mZ3rTk\nM36lPr14hU3WS8jQMLmIBJDHa+BH2e12Dh8+TK1atbQmuoSN8eOjyjhJrdgNvMG3tKAln/EqPWnB\nJlYeOEfXuEUk4ErtwEePHs2AAQNo2rQphw8fpnv37sTHx5OVlcXIkSO56aabAlmniM+V9IjP0kST\nx3OMZBBp5BJDf+byVEZPfjZ5Dn0REX8o9bfXjz/+SNOmTQF46623aNSoEe+88w7Lly/nxRdfDFiB\nIr524rrlnjXjB77mYgaRxnf8h/wN63jqQK+js91ERIKi1N9gx697vnHjRjp06ABAzZo1MekXl4Sg\nGjXKek/3UQYDSeMbLuJcfuDNOoOpvedjXE3O8nOlIiKenbQFycjIID8/n6+++uqEJVWPX5GtIt57\n7z26dOlC06ZN2bp1q1f7EimL5OQ4DKOswQ2nkMX/uJk0BpFHDEcWv0zLzZMgOtq/hYqIlFGp18AH\nDhzI9ddfT0REBBdeeCFnnnkmAN9++y21a9f26qBNmjRhxowZPPTQQ17tR8ST8swuP+pyPuMVbqEe\neyi87AqM2fMprHO632oUEamIUgO8c+fOXHTRRRw8ePDYtXCAWrVq8dhjj3l10EaNGnl+kYgXKhLc\nZlyM4yke4SFMGOSMHkfuqLFg9Xi3pYhIwJ30N1NSUhJJSUknbKtRo4ZfCzqZxMRYrNbQu4UtKckW\n7BL8ojKel8UCbnf531eLfbzIbbRjDdSpAy+9RFzr1sR5fmvIqYw/N18I1/MCnVsoCsR5+a216NOn\nDwcPHvzX9hEjRhybEFdeWVm53pYVcElJNjIzHcEuw+cq23lVpOM+6lreYTF9SOIgBZ2uJerFpWS6\nI6ESnZ+vVLafm6+E63mBzi0U+fK8TvaHgN8CfPHixf7atcgxNWrEYRgVC+5ICniScYxiKkZkJI5H\nnia/30CSTk0Iy/AWkfBS5pXYRCqT9HRruWeWH+9MdvIZVzCKqTjPbEzW+2vI75+qe7tFJGQEJcA/\n+ugjWrVqxebNm0lNTaV///7BKENC0NFFWFJTY6jo/763sZQfoi7gQjaR1/t2sj5ah+vc83xbqIiI\nnwVlem3Hjh3p2LFjMA4tIcqba9xHxWNnXuQQehW+iDvChn3aAgpu0JLAIhKadH+MVGq+CG4wuIBv\n+LJBL6y//kLR+Rdgn7MQd4OGPqpSRCTwdA1cKqUT1yuvaHgbgAvHo0/xTURLrL/+Qu7QERxe8aHC\nW0RCnjpwqTTOOiuOrKyjYe1dx202G2R8vxvbsEFEPfgh7tOSODIzjaJ2FbuFUUSkslGAS9D5Zpgc\nijtugwMHcohY/wm2tndiydhPYeu22GfOxQjiIkQiIr6mAJeg8UdwU1RE7MQniZ32LFgsZE94lLwh\nw8Csq0UiEl4U4BJQtWvH4XT6Ypgcjg6V79+fA4B5z24SBvUn4puvcJ1RH3vaApwXXuzlMUREKicF\nuARE3bpxFBT4otsGMLBaDfbtyzm2JXLFm9hG3o3ZfoT8lB5kPz0VI6GaD44lIlI5aVxR/OroimkF\nBd7MJoejw+R16rg5cCD77/DOzSX+nuFU6/9fTM4iHFNn4ZizUOEtImFPHbj4Tc2acbjd3v6NeNz1\n7X+wbPuRhNS+WH/ahrPZudjnLsLV5CwvjyciEhoU4OJzxcHt/eIrJpNBRsa/gxvDIHrJQuIfvA9T\nfj55/QeS/dDjEB3txfFEREKLAlx8Yvz4KObPj/jrK++Cu04dg82bSwhuwHQ4C9uoYUStfAt3YiL2\ntEUUdu7ixfFEREKTAly8kp5uJTU1Cu+mUxgApKXlk5LiLPVV1i+/IGFwfyy/7aXw8pY4np+Hu87p\nXhxXRCR0KcClwho0iCMnx7vgPlm3fYzLRez0KcROngiGQc6Y+8gdNRYsFi+OLSIS2hTgUm7FS55C\nxbvuMgY3YN7/B7a77iRywzpctevgmD2fostbVvC4IiLhQwEuZdazZwxr1ljw7hq3u8QZ5SWJ/PA9\nbMMGYz50iIJOXXBMnYlR/VQvji0iEj50H7h41LNnDMnJ8axZY8WbJ4O1bessW3gXFBD3wL1Uu60n\nppwcHE8+g33JywpvEZHjqAOXUrVpE8uPP3r7OE/Pk9OOZ/m/ndgG9iNi63c4GzfBnrYI17nnVfD4\nIiLhSwEu/+L9ULlBVJTB3r1lGyo/KmrZy9juvQdTbg55t/6X7McnQVxcBWsQEQlvCnA5QfGa5d5c\nWSn7Ne6jTNkO4seOIvr1ZbjjbTjSFlKQcqMXNYiIhD9dAxcAzj8/juTkeC/CuxzXuI9j/W4zp7S/\niujXl1F0wYVkrd6g8BYRKQMFeBV3NLh//72i17oNBgwo5MCBbJYtyyv729xuYmbP5JRrO2D99Rdy\nh47g8IoPcddvUIEaRESqHg2hV1F/L31a8VvC6tRxl+le7n8yZWZiGzaIqFUf4U5K5sjMNIratq9w\nHSIiVZECvAo6//y4vzruijBo1szNDz9YyMwsf3hHrFuL7a47sRzIoLBNO+wz52IkJ1ewFhGRqksB\nXsVUfPlTg7ZtXccNk9vK9/aiIuImTyRm+hSwWMh+8DHy7robzLqKIyJSEQrwKuDv28KgIkPmFR0q\nP8q8ZzcJqf2I2Pg1rnr1sactxHnBRRXen4iIaBJb2EpPt9KgQdw/VlArX3hbLAZpaXlehXfk2+kk\ntruSiI1fk3/DjWSt3qDwFhHxAXXgYah4glpkBd9tYLXCrFllXz2tRLm5xE8YR8wLizFiY7FPe56C\nXreCyZt11EVE5CgFeJjxJryjotzlXj2tJJZtP5IwsA/W7T/hPOc87HMX4WrcxOv9iojI3zSEHibG\nj48iOTm+wuFdp44PwtswiF68gMRr2mDd/hO5A1LJem+VwltExA/UgYe49HQrQ4ZE4XRW/LawAQOK\nmDixwKs6TIezsI28m6h33sadmIh97mIKO13r1T5FRKR0CvAQ5u217mbN3Kxdm+t1HdYvPidhcH8s\nv/9G4eUtccyej7t2Ha/3KyIipQtKgE+aNIk1a9YQERHBGWecwZNPPklCQkIwSglZxbeGlffHZxAV\nBdOnezlB7SiXi9hpzxI7eSIAOWPHkztyDFgsHt4oIiLeCso18JYtW7Jy5UpWrFhB/fr1SUtLC0YZ\nIev88+PKHd516rg5cCCbvXuzfRPev/9OtRu7EffU47hr1uLIm++SO3qcwltEJECCEuBXXnklVmtx\nALVo0YL9+/cHo4yQc3SiWnmXQfV2IZZ/ivzwPWjenMhP11PQ+Tqy1nxK0WVX+Gz/IiLimckwDCOY\nBQwaNIjOnTvTvXt3j691Ol1YrVWvwxs2DGbMKP/7zGYYMgSmT/dRIQUFcO+9MG0aREXBs8/CXXfp\n3m4RkSDw2zXwPn36cPDgwX9tHzFiBB06dABg9uzZWCwWunXrVqZ9ZmV5P+Eq0JKSbGRmOir03vHj\no1iwIALDKF9A/rPjzsys0OFPYPm/ndgG9iNi63c4GzfB+tr/yKzdEA5me7/zSsabn1llF67nFq7n\nBTq3UOTL80pKKv25E34L8MWLF5/0++np6axdu5bFixdjUgcHFN8S9sgjUezbd/S/R/n/u7Rt6yzf\nc7k9MQyilr2MbdxoTLk55N36X7Ifn0RS/ZoQhh88EZFQEZRZ6OvWrWPevHm8+OKLxMTEBKOESse7\nW8LAajW8X/70H0zZDuLHjCT6jf/htiXgmLuIgut7+Gz/IiJScUEJ8Mcee4zCwkL69u0LQPPmzXn0\n0UeDUUrQjR8fxcKFEbjdFR+F8PUkNQDrt5tIGNgXy65fKbrwIuxzFuKuV9+nxxARkYoLSoB/9NFH\nwThspXHiUHnFg9tkMujf3/tV1E7gdhMzZxZxTzyMqaiI3LtHkjPuAYiI8N0xRETEa1qJLcDS062k\npnp32cBsNujXz8fBDZgyM0m4O5XI1R/jTkrmyKy5FLVp59NjiIiIbyjA/Sg93crjj8PevfE+2V9U\nlOG7VdT+IeKTNdiGDMRyIIPCtu2xz0jDSE72+XFERMQ3FOA+VvLwuDez7A0iIuCOO3zfcQNQVETc\npCeImfEcWCxkP/Q4eYOHFt9ELiIilZYC3Ef+Dm7fBF/16m6efLLAL932UeY9u0lI7UfExq9x1auP\nfe4inOdf6LfjiYiI7yjAfcAX17WPioszmDLFP8Pkx4t8Ox3bqGGY7UfIv+Emsp9+DsOmB8qIiIQK\nBbgPTJ1a8fu3ixmcfrrBhAn+7bgByM0lfsI4Yl5YjBEbi336bAp69tZyqCIiIUYB7gM7dng3bJ6W\n5v+OG8Dy4w8kDOyDdcd2is79D465i3Cd2djvxxUREd/TTCUvpadbsZbpzyADMLBYjGP/Pv10N2lp\nef4Pb8MgetF8Eq9pg3XHdnLvHMThdz9WeIuIhDB14F7wfO3b4IwzTNx/fwBCuhSmrEPYRt5N1Lsr\ncFevjn3+Ugqv6RyUWkRExHcU4BWUnm5l2LDoEr93/P3axU+lCU54W7/4nITB/bH8/huFV1yJY/Z8\n3LVqB6UWERHxLQ2hl1N6upUWLeJITY2hoKDkiV8uF0HruI8WEPvsJE65vjPmP/aRM3Y8R95YofAW\nEQkj6sDLID3dytSpkfz0k7lMz+Zu0sQdgKpKZv5jH7a77iTy0/W46pyOY/Z8ii67Imj1iIiIfyjA\nPajIPd7Dhxf6qZqTi/zgPWzDB2M+dIiCztfhmDoTI7F6UGoRERH/0hC6B+W5xzsqygjMrPJ/Kigg\n7v6xVLu9J6acHBxPPYt98UsKbxGRMKYOvARHh8x37DDjcpX9ff560MjJWH7eiW1gXyK+34KzyVnY\n0xbhOufcgNYgIiKBpw78H44OmW/bZsHlKtvzugN2P/fxDIOoV18isUMrIr7fQt5td5D1wVqFt4hI\nFaEO/B/KOmRuNhs0bepm+PDCgHfdJoed+DEjiV7+Gm5bAo65iyi4vkdAaxARkeBSgP9D6cuiGlit\nxTPMgxHaR1k3byQhtR+WXb9SdOFF2OcsxF2vflBqERGR4FGAc+I1b6uVEq97N2vmZu3a3MAXd5Tb\nTczsmcQ98TC4XOQOG0XOvfdDRETwahIRkaCp8gH+z9vESpu0FqxbwwBMmZkk3J1K5OqPcSXXwDEz\njaI27YJWj4iIBF+VD/DSrnlHRRm4XMEfMo/4ZA22IQOxHMigsF0H7DPSMJKSglKLiIhUHlU+wEu7\n5u1ywb592QGu5jhFRcRNeoKYGc+B1Ur2w0+QN2gImHXjgIiIKMBp0sTNtm2WErcHi3n3LhIG9SNi\n4ze46jfAPncRzhYXBK0eERGpfKp8OzdiRMnXtoN1zTvqzTdIbHclERu/If+Gm8hatV7hLSIi/1Ll\nO/Dia9t5TJtWPAs9aNe8c3OJf+BeYl5cghEbh336bAp69gaT54VkRESk6qnyAQ7FIR7Mx39afvie\nhNS+WHdsp+jc/+CYuwjXmY2DVo+IiFR+VWoIPT3dSuvWsdSqFU/r1rGkpwf57xfDIHrhPBI7tcW6\nYzu5dw7i8HurFN4iIuJRlenA/3m/97Ztlr++DsLTwwBT1iFsI+8m6t0VuKtXxz5/KYXXdA54HSIi\nEpqqTAde2v3e06aV/XGhvhLxxWcktruSqHdXUHjFlWSt+UzhLSIi5VJlAry0+71LX/vcD1wuYp95\nimrXX4v5j33k3Hs/R95YgbtW7cDVICIiYaHKDKEH+35v877fsd11J5GfbcBV53TssxfgvOzygBxb\nRETCT1A68KlTp9K1a1e6d+9Ov379yMjI8Psxg3m/d+T775LY9goiP9tAwbVdyVq9QeEtIiJeCUqA\nDxgwgBUrVvDWW2/Rpk0bZs2a5fdjpqQ4SUvLo1kzF1arQbNmLtLS/DyBLT8fhg2j2n97YcrNxTFp\nCvZFL2IkVvffMUVEpEoIyhB6fHz8sX/n5eVhCtBiJYG839vy805sA/vC91twNjkL+9zFuJqdE5Bj\ni4hI+DMZhmEE48DPPfccb775JjabjaVLl1K9uueu1Ol0YbX++zp2pWIYsHgxDB0Kublw550wdSrE\nxga7MhERCSN+C/A+ffpw8ODBf20fMWIEHTp0OPZ1WloaBQUFDBs2zOM+MzMdPq3R10wOO/FjRhK9\n/DXcCdXIfnYaCQPuqPR1V0RSki0szwt0bqEoXM8LdG6hyJfnlZRkK/V7fhtCX7x4cZled91115Ga\nmlqmAK/MrJs3kjCwL5bduyi68GLsaQtxn1Ev2GWJiEiYCsoktl27dh379+rVq2nYsGEwyvANt5uY\nWdM5pUtHzHt2kzv8Hg6//b7CW0RE/Cook9ieffZZfv31V0wmE3Xq1OGRRx7xan/p6VamTv37aWIj\nRgTmaWKmAwdIuDuVyDWrcCXXwPH8PIpatfH7cUVERIIS4DNmzPDZvoK1xnnE2tUkDBmIOfMABe07\n4pg+ByMpyW/HExEROV7IL6Ua8DXOi4qIe+whTrn5ekyHs8h+ZCL2l15TeIuISECF/FKqgVzj3Lx7\nFwmD+hGx8Rtc9Rtgn7sIZ4sLfH4cERERT0K+Ay9tLXNfr3Ee9eYbJLa7koiN35Df42ayVq1XeIuI\nSNCEfID7fY3znBziRw4lYWBfTC4X9umzcTw/D8OW4Jv9i4iIVEDID6EXT1TLY9q0v2ehDx/um1no\nlh++J2FgH6w7d1B0XnMccxfiatTY+6JFRES8FPIBDn5Y49wwiF44j/iH78dUUEDuwMHkTHgUoqJ8\ndwwREREvhEWA+5Ip6xC2EUOJem8l7urVsS9YSuHVnYNdloiIyAkU4MeJ+OIzbIP6Y9n3O4Utr8Lx\n/DzctWoHuywREZF/CflJbD7hchH79JNUu/5azBn7yRn3AEdef1vhLSIilVaV78DN+37HNngAkZ9/\niuv0uthnL8B56WXBLktEROSkqnQHHvn+uyS2vYLIzz+loEs3slZvUHiLiEhIqJodeH4+cY9OIHZ+\nGkZ0NI7Jz5F/Rz8wmYJdmYiISJlUuQC37NxBwsC+WH/YivOsptjnLsZ1drNglyUiIlIuVWcI3TCI\neuVFEju2wvrDVvJu70vWB2sV3iIiEpKqRAdush8hfuxIope/jjuhGvb5SyjslhLsskRERCos7APc\nuukbEgb2w7JnF0UXXYJ9zgLcZ9QLdlkiIiJeCd8hdLebmJnTOOW6qzHv3U3OiNEcfus9hbeIiISF\nsOzATQcOkHB3KpFrVuFKroHj+XkUtWoT7LJERER8JuwCPGLNKhKGpmLOPEBB+444ps/BSEoKdlki\nIiI+FT5D6EVFxD36IKf0TMF0OIvsRyZif+k1hbeIiISlsOjAzbt+JWFQPyI2bcTZoCGOuYtwNj8/\n2GWJiIj4Tch34FHpr5PY/ioiNm0k/8aeHF61XuEtIiJhL3Q78Jwc4u8fS8zLL2DExmGfMYeCnr2D\nXZWIiEhAhGSAW77fSkJqX6w7d1B0XnMccxfiatQ42GWJiIgETGgNoRsG0QvSSOzcDuvOHeSm3sXh\ndz9WeIuISJUTUh14wh29iXr/Hdynnop94QsUduwU7JJERESCIqQCPOr9dyi8shWO5+fhrlkr2OWI\niIgEjckwDCPYRYiIiEj5hNY1cBEREQEU4CIiIiFJAS4iIhKCFOAiIiIhSAEuIiISghTgIiIiIUgB\nHgBTp06la9eudO/enX79+pGRkRHsknxi0qRJdOrUia5duzJkyBDsdnuwS/KZ9957jy5dutC0aVO2\nbt0a7HK8tm7dOq655pzWHGsAAArwSURBVBo6duzI3Llzg12Oz9x3331cfvnlXHfddcEuxaf++OMP\nbr/9djp37kyXLl1YsmRJsEvymYKCAm688Ua6detGly5dmD59erBL8imXy8X1119Pamqq/w9miN85\nHI5j/16yZIkxYcKEIFbjO+vXrzeKiooMwzCMyZMnG5MnTw5yRb7z888/G//3f/9n3HbbbcaWLVuC\nXY5XnE6n0b59e2PPnj1GQUGB0bVrV2Pnzp3BLssnvvrqK+P77783unTpEuxSfCojI8P4/vvvDcMo\n/v1x9dVXh83PzO12G9nZ2YZhGEZhYaFx4403Gps3bw5yVb6zcOFCY9SoUcbAgQP9fix14AEQHx9/\n7N95eXmYTKYgVuM7V155JVZr8WJ+LVq0YP/+/UGuyHcaNWpEw4YNg12GT2zZsoV69epRt25dIiMj\n6dKlC6tWrQp2WT5x8cUXU61atWCX4XPJycmcc845QPHvj4YNG4bNyJ3JZCIuLg4Ap9OJ0+kMm9+J\n+/fvZ+3atdx4440BOV5ILaUayp577jnefPNNbDYbS5cuDXY5PvfGG2/QuXPnYJchJcjIyKBmzZrH\nvq5RowZbtmwJYkVSHr/99hvbtm2jefPmwS7FZ1wuFzfccAN79uyhd+/eYXNuEydOZMyYMeTk5ATk\neApwH+nTpw8HDx781/YRI0bQoUMHRo4cyciRI0lLS+PFF19k2LBhQaiy/DydF8Ds2bOxWCx069Yt\n0OV5pSznFg6MElZLDpeOJ9zl5OQwbNgwxo8ff8JIXqizWCy89dZb2O12hgwZwo4dO2jSpEmwy/LK\nmjVrqF69Oueeey5ffvnl/7d39zE1/n8cx5+nQykWMrG5Z0Ruykbubzp81ShHd+5W7uYum9xkk1io\nyVBYQzhsLUotK2eYDQs1kfu7DZupaKaQ1TGrTlfn90dzpi+SvuU4fu/HX+ec65zr874+bb3OdX2u\n8/n8ljYlwJtJUlJSo97n4+PDihUrrCbAf3ZcWVlZXL16laSkJKsLhcb+zaxd165d6w1vlJSU4Ozs\nbMGKRGMYjUbCwsLw9fVl2rRpli6nRTg6OjJq1Chyc3OtPsDv3btHdnY2OTk5VFVV8enTJzZs2EBc\nXFyLtSlj4L9BYWGh+XF2dvZfM7aak5ODTqcjMTERe3t7S5cjfmDo0KEUFhby+vVrqqurOX/+PBqN\nxtJliQaYTCY2b95M3759Wbx4saXLaVZlZWXmX6xUVlaSl5f3V/xPDA8PJycnh+zsbPbu3cvo0aNb\nNLxBzsB/i/j4eAoKClCpVHTr1o3t27dbuqRmERMTQ3V1tfkfjJubG9HR0RauqnlcunSJmJgYysrK\nWLFiBYMGDeL48eOWLqtJWrVqRVRUFEuXLkVRFAICAujfv7+ly2oW69ev59atW3z8+JGJEyeyevVq\ngoKCLF3Wf3b37l30ej0DBgxAq9UCdcc6adIkC1f235WWlhIREYGiKJhMJry9vfH09LR0WVZJlhMV\nQgghrJBcQhdCCCGskAS4EEIIYYUkwIUQQggrJAEuhBBCWCEJcCGEEMIKSYAL0URBQUFotVqmT5+O\nq6srWq0WrVbLpk2byM/Px9/f32K1VVRUoNPp6r22efNm7ty50+R9hoSEcOXKle9uKy8vJzIykilT\npuDl5cWcOXO4efNmk9tqjKSkJD58+GB+furUKfPkPJmZmVYzWZIQTSW/AxeiiTIyMoC6uaoDAgLQ\n6/XmbS09lWJNTY15IZnvqaio4NixYyxbtsz82o4dO1qsnjVr1jBgwAAuXryIWq3m1q1brF69mtTU\nVPr169cibSYnJzN27Fg6deoEwLx581qkHSH+VBLgQrQQRVGIiori/v37qFQq9u3bZw6zrKwsUlNT\nURSFdu3asW3bNvr27YuiKMTFxZGbmwvAhAkT2LBhA2q1moiICNq2bUthYSEfP34kMzOThw8fEhcX\nZ148ISwsjMmTJxMdHY3BYECr1WJvb09aWhohISEsWbIET09PDAYDsbGxPHnyBJVKxYgRI4iKiuLG\njRvs37+fqqoqFEVh5cqVzJgxo8HjvH37NgUFBeh0OtRqNQAeHh4EBgZy5MgRdu/eTUREBEOGDCE4\nOBig3vOzZ8+SnJyM0WgEYOPGjYwZMwYAjUaDVqslLy+Pd+/esWTJEoKDg0lMTKS0tJSwsDDs7OyI\nj4/nwoULfP78mY0bN35T44/6+969e8TExFBbW0tNTQ2hoaF/3dri4u8lAS5EC3nx4gU7d+4kOjqa\nxMREDh06RHx8PHfu3OHChQukpKRga2vLtWvXiIyMJC0tjfT0dJ4+fUpmZiYAy5YtIz09nfnz5wNw\n//59Tp48iYODAxUVFWzdupWjR4/i7OxMaWkpgYGBnDt3jqioqG+uCnwtNjYWBwcH9Ho9NjY2lJWV\nAeDq6kpqaipqtZr379/j7+/P+PHjG1yy8/nz5wwePJjWrVvXe93d3Z2DBw/+tJ/Gjx+Pj48PKpWK\nly9fsmjRInJycszbKysrSU9Pp7i4GF9fX/z8/AgNDSUjI4OEhISfzqHdUH/rdDoWLlzIrFmzMJlM\nGAyGn9YrxJ9CAlyIFtKnTx9cXV2BujD7Mn6cnZ3Ns2fPzFN+mkwm89zQN27cwM/PD1tbWwD8/f25\nfPmyOcC9vb1xcHAA6sK8uLi43mVylUpFUVERHTt2bLC2K1eukJmZiY1N3W0wTk5OQN081ZGRkRQV\nFaFWqykvL6egoAB3d/cf7quhyRwbs8DN69evCQ8Pp6SkhFatWvH+/XvevXtH586dAZg+fToA3bt3\nx9HRkbdv3/7SZfmG+nvUqFEcPXqUN2/eMG7cuL9mWUvx/0ECXIgW8iWEAWxsbKipqQHqAiQgIIA1\na9Z88xmTyfRN6H39/Et4f3mvi4sLKSkp3+ynuLi4STVv27YNjUbDgQMHUKlUeHl5UVVV1eBnBg4c\nyLFjxzAajfXOwh88eMDw4cOBuuUja2trzdu+3uf69euJiIhg6tSp1NbW4ubmVm+7nZ2d+bFarUZR\nlF86pob6e9GiRWg0GvLy8oiJiWHcuHGsW7ful/YvhKXIXehC/GYajQa9Xm9e4lNRFJ48eQLA2LFj\nycrKwmg0YjQaOXPmjHk8+N+GDx9OUVFRvbu9Hz16hMlkol27dlRWVpq/NPybp6cnx48fN589f7mE\nbjAY6NatGyqViuvXr1NUVPTT4xk5ciS9evViz5495nC9ffs2ly5dYvny5QD07NmTx48fA3WLWXx9\nk5/BYKB79+4AnD59murq6p+2CdC2bdtGXfJuqL8LCgro2bMnc+fOZcGCBeYahbAGcgYuxG82cuRI\n1q5dS2hoKIqiYDQa8fb2ZsiQIcyZM4dXr17h5+cH1I0Pz549+7v7ad++PYcOHWLPnj3ExsZiNBrp\n0aMHhw8fpkOHDvj6+uLr60v79u1JS0ur99lNmzYRGxuLj48ParUaDw8PtmzZQnh4ONu3b0en0+Hi\n4oKLi0ujjikhIYFdu3bxzz//YDKZ+Pz5M3q9nq5duwIwe/ZswsLCmDlzJr1792bYsGH1alm1ahVd\nunTBw8ODDh06NKrNBQsWEBkZSZs2bYiPj//h+xrq7xMnTpCfn0/r1q2xtbVly5YtjWpbiD+BrEYm\nhGhWnz59Yt26dTg5ObFz507zOLsQonlJgAshhBBWSL4aCyGEEFZIAlwIIYSwQhLgQgghhBWSABdC\nCCGskAS4EEIIYYUkwIUQQggrJAEuhBBCWKH/AQwEk2eyj0h5AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc9d5476048>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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wTTmHzAHcGIY5ZJZGFfEVjwEOxauv/frrrxQUFBzbdvHFF/utKBEJbxGfrsd2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\njaI27YJWj4iIBF+VD/DSrnlHRRm4XME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MJC0tjfT0dJ4+fUpmZiYAy5YtIz09nfnz5wNw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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fc9d5476048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "qqplot(model.resid_response, line='45')"
   ]
  }
 ],
 "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": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}