{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Influence Measures for GLM Logit\n",
    "\n",
    "\n",
    "Based on draft version for GLMInfluence, which will also apply to discrete Logit, Probit and Poisson, and eventually be extended to cover most models outside of time series analysis.\n",
    "\n",
    "The example for logistic regression was used by Pregibon (1981) \"Logistic Regression diagnostics\" and is based on data by Finney (1947).\n",
    "\n",
    "GLMInfluence includes the basic influence measures but still misses some measures described in Pregibon (1981), for example those related to deviance and effects on confidence intervals."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import os.path\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "from statsmodels.genmod.generalized_linear_model import GLM\n",
    "from statsmodels.genmod import families"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import statsmodels.stats.tests.test_influence\n",
    "test_module = statsmodels.stats.tests.test_influence.__file__\n",
    "cur_dir = cur_dir = os.path.abspath(os.path.dirname(test_module))\n",
    "\n",
    "file_name = 'binary_constrict.csv'\n",
    "file_path = os.path.join(cur_dir, 'results', file_name)\n",
    "df = pd.read_csv(file_path, index_col=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                 Generalized Linear Model Regression Results                  \n",
      "==============================================================================\n",
      "Dep. Variable:              constrict   No. Observations:                   39\n",
      "Model:                            GLM   Df Residuals:                       36\n",
      "Model Family:                Binomial   Df Model:                            2\n",
      "Link Function:                  logit   Scale:                          1.0000\n",
      "Method:                          IRLS   Log-Likelihood:                -14.614\n",
      "Date:                Fri, 10 Jul 2020   Deviance:                       29.227\n",
      "Time:                        05:46:36   Pearson chi2:                     34.2\n",
      "No. Iterations:                     7                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "===============================================================================\n",
      "                  coef    std err          z      P>|z|      [0.025      0.975]\n",
      "-------------------------------------------------------------------------------\n",
      "const          -2.8754      1.321     -2.177      0.029      -5.464      -0.287\n",
      "log_rate        4.5617      1.838      2.482      0.013       0.959       8.164\n",
      "log_volumne     5.1793      1.865      2.777      0.005       1.524       8.834\n",
      "===============================================================================\n"
     ]
    }
   ],
   "source": [
    "res = GLM(df['constrict'], df[['const', 'log_rate', 'log_volumne']],\n",
    "          family=families.Binomial()).fit(attach_wls=True, atol=1e-10)\n",
    "print(res.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## get the influence measures\n",
    "\n",
    "GLMResults has a `get_influence` method similar to OLSResults, that returns and instance of the GLMInfluence class. This class has methods and (cached) attributes to inspect influence and outlier measures.\n",
    "\n",
    "This measures are based on a one-step approximation to the the results for deleting one observation. One-step approximations are usually accurate for small changes but underestimate the magnitude of large changes. Event though large changes are underestimated, they still show clearly the effect of influential observations\n",
    "\n",
    "In this example observation 4 and 18 have a large standardized residual and large Cook's distance, but not a large leverage. Observation 13 has the largest leverage but only small Cook's distance and not a large studentized residual.\n",
    "\n",
    "Only the two observations 4 and 18 have a large impact on the parameter estimates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "infl = res.get_influence(observed=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "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>dfb_const</th>\n",
       "      <th>dfb_log_rate</th>\n",
       "      <th>dfb_log_volumne</th>\n",
       "      <th>cooks_d</th>\n",
       "      <th>standard_resid</th>\n",
       "      <th>hat_diag</th>\n",
       "      <th>dffits_internal</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Case</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.073359</td>\n",
       "      <td>-0.930200</td>\n",
       "      <td>-1.017953</td>\n",
       "      <td>0.429085</td>\n",
       "      <td>3.681352</td>\n",
       "      <td>0.086745</td>\n",
       "      <td>1.134573</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>0.959508</td>\n",
       "      <td>-0.827905</td>\n",
       "      <td>-0.847666</td>\n",
       "      <td>0.328152</td>\n",
       "      <td>3.055542</td>\n",
       "      <td>0.095386</td>\n",
       "      <td>0.992197</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>-0.259120</td>\n",
       "      <td>0.202363</td>\n",
       "      <td>-0.004883</td>\n",
       "      <td>0.066770</td>\n",
       "      <td>-1.150095</td>\n",
       "      <td>0.131521</td>\n",
       "      <td>-0.447560</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>0.236747</td>\n",
       "      <td>-0.194984</td>\n",
       "      <td>0.028643</td>\n",
       "      <td>0.065370</td>\n",
       "      <td>0.984729</td>\n",
       "      <td>0.168219</td>\n",
       "      <td>0.442844</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>0.116501</td>\n",
       "      <td>-0.099602</td>\n",
       "      <td>0.132197</td>\n",
       "      <td>0.055382</td>\n",
       "      <td>0.713771</td>\n",
       "      <td>0.245917</td>\n",
       "      <td>0.407609</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>-0.128107</td>\n",
       "      <td>0.041039</td>\n",
       "      <td>-0.100410</td>\n",
       "      <td>0.051950</td>\n",
       "      <td>-1.420261</td>\n",
       "      <td>0.071721</td>\n",
       "      <td>-0.394777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>-0.093083</td>\n",
       "      <td>-0.009463</td>\n",
       "      <td>0.177532</td>\n",
       "      <td>0.046492</td>\n",
       "      <td>-0.847046</td>\n",
       "      <td>0.162757</td>\n",
       "      <td>-0.373465</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>-0.196119</td>\n",
       "      <td>0.127482</td>\n",
       "      <td>0.035689</td>\n",
       "      <td>0.031168</td>\n",
       "      <td>-1.065576</td>\n",
       "      <td>0.076085</td>\n",
       "      <td>-0.305786</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>-0.088174</td>\n",
       "      <td>-0.013657</td>\n",
       "      <td>-0.002161</td>\n",
       "      <td>0.027481</td>\n",
       "      <td>-1.238185</td>\n",
       "      <td>0.051031</td>\n",
       "      <td>-0.287130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>-0.092235</td>\n",
       "      <td>0.170980</td>\n",
       "      <td>0.038080</td>\n",
       "      <td>0.026230</td>\n",
       "      <td>0.661478</td>\n",
       "      <td>0.152431</td>\n",
       "      <td>0.280520</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      dfb_const  dfb_log_rate  dfb_log_volumne   cooks_d  standard_resid  \\\n",
       "Case                                                                       \n",
       "4      1.073359     -0.930200        -1.017953  0.429085        3.681352   \n",
       "18     0.959508     -0.827905        -0.847666  0.328152        3.055542   \n",
       "19    -0.259120      0.202363        -0.004883  0.066770       -1.150095   \n",
       "29     0.236747     -0.194984         0.028643  0.065370        0.984729   \n",
       "31     0.116501     -0.099602         0.132197  0.055382        0.713771   \n",
       "24    -0.128107      0.041039        -0.100410  0.051950       -1.420261   \n",
       "13    -0.093083     -0.009463         0.177532  0.046492       -0.847046   \n",
       "23    -0.196119      0.127482         0.035689  0.031168       -1.065576   \n",
       "33    -0.088174     -0.013657        -0.002161  0.027481       -1.238185   \n",
       "6     -0.092235      0.170980         0.038080  0.026230        0.661478   \n",
       "\n",
       "      hat_diag  dffits_internal  \n",
       "Case                             \n",
       "4     0.086745         1.134573  \n",
       "18    0.095386         0.992197  \n",
       "19    0.131521        -0.447560  \n",
       "29    0.168219         0.442844  \n",
       "31    0.245917         0.407609  \n",
       "24    0.071721        -0.394777  \n",
       "13    0.162757        -0.373465  \n",
       "23    0.076085        -0.305786  \n",
       "33    0.051031        -0.287130  \n",
       "6     0.152431         0.280520  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "summ_df = infl.summary_frame()\n",
    "summ_df.sort_values('cooks_d', ascending=False)[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "infl.plot_influence()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "infl.plot_index(y_var='cooks', threshold=2 * infl.cooks_distance[0].mean())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "infl.plot_index(y_var='resid', threshold=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAAEdCAYAAAAikTHKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nO3de7xVdZ3/8ddbJCDGBkk0QAlsjHTS1A6Z2RjlBdMmyLTMKO3GNKNdbEZFKzVtkrJyaiqTn9lolo6ZIZNOJBpmNppHoSzNsETjIqCGV1CBz++PtQ5utvuyzr6ctfY+7+fjcR5777W+Z+3PWWzWZ38v6/tVRGBmZtZf2+QdgJmZdSYnEDMza4gTiJmZNcQJxMzMGuIEYmZmDXECMTOzhjiB2KAh6XhJIenvWnjMRZIWtep4Gd9zWfp3hKTNkv4i6SpJryop0/e3TuznsSdKOkvSrq2O27qPE4hZZ1oA7A+8ETgDeB1ws6QdmzzuROBMwAnE6to27wDMrCEPR8St6fNfSfozsAiYCXw1t6hsUHENxAa1tAnql5IOlnSnpKcl/U7SjAplj5H0B0nPSPq9pHdUOeYOki6QtCIt+wdJs0r2j5W0RtKPy35vVtrsdEQDf8rt6WPV5jlJQyV9Pm0CezZ9/Lykoen+qcDP0+LXlzSTTW0gHhsEnEDM4BXA10i+uR8JrAKuKu0rkXQw8ANgaVrmvPR3JpceSNJLgFuAI4Cz0sf/AS6Q9DGAiFgFfACYIemj6e/tDpwP/GdEXNvA3zApfVxXo8wlwGzgUuBtwHeBU9PtAHcCJ6TPP07SRLZ/ut3sBdyEZQY7AAdGxFIASXeSJJF3AV9Iy3wO+AMwPSI2p+XuAW4F7i051ieAlwN79h0PWChpFHCmpAsiYmNEXCvp68BXJd0OXAzcB5ySMWZJ2pbkS+ArgQuBzcBVVQq/GngP8LmIOCvd/DNJm4BzJM2JiN9Kujvdd09JE5lZRa6BmMHSkos9EbEGWANMAJA0BJgCXNWXPNJytwHLyo51GHAbcL+kbft+SDq9XwrsUVL2FOCPJDWW3YD3RMSGjDEfCzwHPAPcBYwDjo6IarWFA9PHy8q2971+U8b3NdvCNRAzeLTCtmeA4enzHYChwOoK5cq37UjSD/Fclfd6ad+TiHhG0n+T1HKuiYi7q/xOJf9LMvpqE7AyIirFVmp0+riqbPtDZfvNMnMCMavvYZKEsFOFfTsBD5S8foSk9vKJKsfa0twl6e+BzwK9wHRJ0yPimowxPRoRvRnLwvNJ8mXAn0q2vyx9fKQfxzID3IRlVldEbCIZ5XSUpC3/ZyTtR3LfRKmfAq8CHoyI3go/T6S/Oxy4nKRf5QDgauA7ksa16c+4KX08pmz7e9PHX6SPz6SPI9oUh3UR10DMsjkT+BkwT9KFwBiSjvWHysqdD7yb5Ka+80lqHCNJkso/RMT0tNx5JKO/9o2IZyV9BPgN8D1Jh5T2tbRCRPxe0uXAWWmfzK9IRlh9Frg8In6bFv0jsBH4oKRHSRLKvX2Jz6yUayBmGUTEQpJv65NJagsnA59k6xFYRMRjwBuA60iGyC4gGWE1nfQeC0lvA04EPhER96a/9yjJTYBT02O3w3HAF4EPpvF9KH19XEn8j6SxvYak1nI78No2xWMdTl7S1szMGuEaiJmZNcQJxMzMGuIEYmZmDXECMTOzhgyqYbw77LBDTJw4Me8wzMw6yh133PFwRIwp3z6oEsjEiRPp7e3PzbtmZibpgUrb3YRlZmYNcQIxM7OGOIGYmVlDnEDMzKwhTiBmZtaQQiYQSYdJulfSfZJmV9j/Xkm/TX9+Jek1ecRpVs+8xSs4YM6NTJp9LQfMuZF5i1fkHZJZyxRuGG+6fOg3gUOA5cDtkuaXrdZ2P/CmiPirpLcCc4H9Bj5as+rmLV7BaVffxfrnNgGwYt16Trv6LgBm7DM+z9DMWqKINZDXAfdFxJ8j4lngCpKpsLeIiF9FxF/Tl7cCOw9wjGZ1nbfg3i3Jo8/65zZx3oJ7q/yGWWcpYgIZD/yl5PXydFs1HyJZH9qsUFauW9+v7WadpogJRBW2VVy0RNKbSRLIqVUPJs2S1Cupd+3atS0K0ay+caMqrwpbbbtZpyliAlkO7FLyemdgZXkhSXsBFwHT01XUKoqIuRHRExE9Y8a8YCoXs7Y5edpkRgwdstW2EUOHcPK0yTlFZNZahetEJ1lCczdJk4AVwDHAsaUFJE0gWVb0fRHxx4EPsTjmLV7BeQvuZeW69YwbNYKTp012B21B9P07+N/HulXhEkhEbJR0Isla0kOAiyPi95I+mu7/NnAG8FLgW5IANkZET14x58WjfIpvxj7j/W9hXWtQrYne09MT3TQb7wFzbmRFhQ7Z8aNGcMvst+QQkZl1I0l3VPqSXsQ+EMvIo3zMLE9OIB3Mo3zMLE+F6wOxrdXqJD952uSt+kDAo3zKeZCBFVmnfz6dQAqsXie5R/nU5kEGVmTd8Pl0J3qBuZO8OT5/nf8Nt5t10uezWie6ayAF5k7y5gyG81crQXTDN9xu1g2fT3eiF5g7yZvT7eevL0GsWLee4PkE0TdlvCdzLLZu+Hw6gRSYp8JoTrefv3oJohu+4Xazbvh8ugmrwNxJ3pxuP3/1EsS4USMqtrF30jfcbtYNn08nkILzVBjN6ebzVy9BeJh38TX7+cx7kISbsMw6VL0mkBn7jOfcI/dk/KgRiGR0z7lH7tm1CXWwqdcHNhBcAzHrUFmaQLq5BlYEedYAavWBDVQMTiBmHcwJIj95D5MuwiAJN2GZmTUgyzDpeYtXcMCcG5k0+1oOmHNjS5uXijAM2AnEzKwB9WoA7e6jKMIw4H41YUnaBtiDZDGn3oh4qi1RdZG8R0kUnc+Pdap6o+Da3UdRhGHAmROIpBOAM0mSB8AU4E5J84AbI+LrbYivo+XdRppFnhfwTjg/1l6d/AWi3jDpVvRR1Ds/efeBZWrCkvQR4GvAPODdgEp23wy8s/Whdb6iTyWR9zDAVpyfdrYxW3vPb96fv2bVGybdbB9FJ5yfrDWQTwFfiYhTJQ0p2/cH4OTWhtUdijBKopa8hwE2e35cg2mvVpzfWt+g8/78tUKtGkCzN3J2wvnJ2ok+CVhQZd9TwKjWhNNdijBKopa8E1yz56foNbws8q5B1Xr/Zs9vvW/QeX/+2q3ZGzk74fxkTSAPAxOr7JsMFKdOVSBFGCVRS94Jrtnz0wn/wWrJu4mi3Rf4egko78/fQJixz3humf0W7p9zBLfMfku/ag6dcH6yJpD/Ac6QtGvJtpC0A3ASSd+IlSn6VBJ5J7hmz08n/AerJe8aVCsu8LVqMPUSUN6fv6LrhPOTtQ/kM8BbgN8BtwEBfB14FbAGOLst0XWBvEdJ1FKEYYDNnJ9WTBaY5yigvGtQWS7wtc5vvT6SesNci/D5K7JOOD+ZEkhEPCKpB/gkMA34U/q73wDOj4jH2xdivjp5mGEWRU5w9TT7HyzvTvi8p1tv9gJfr5M3S4Lv9Nlo263o58drotdQfoGB5D9AaTNLt3+Au/nvy3tN6rw/X1nev5ZJs6+l0tVDwP1zjih8/N2uleenqTXRJf0ZeEdE/KbCvlcD8yNi1xf+Zmer9w0r72+w7dbtf1+WJqR2XgDrfcNv9/lvtgaXpQbVzhpuJwxzzdNAnJ+sfSATgWFV9g0HXt6SaFKSDiO5cXEIcFFEzCnbr3T/4cDTwPERcWcrY4D6F5hO+AA3cwHM8vfVO36RazD1LoADkUBrXWAH4vOVdx9UM/LuQyq6gTg//ZlMsVpbVw+wrgWxAJDeqPhN4K0k8269R9IeZcXeCuyW/swCLmjV+5eqNwql6B/gZoeJNjtZXN7DVOupN8ol71FSRf985T3KsBWj8PK+D6edBmKUYtUEIukkSQ9KepAkefxP3+uSn7UkF/uftiwieB1wX0T8OSKeBa4AppeVmQ5cGolbgVGSxrYwBqD+Babow0ibvQDW+/vqHb/oU5XUuwDmfQEv+ucLmrvPoVnNDnMt+hecZg3EMOBaTVh/Bm5Inx8H9AJry8o8A9wNXNSyiGA88JeS18uB/TKUGQ+samEcdduI867C19PsBbDZyeI6YaqSWk04eY+SKvrnK2/N9uG0oom2yAZiGHDVBBIR1wDXACRdDpwdEfe37J2rU4Vt5c1nWcokBaVZJM1cTJgwod/B1LrAFH2cdrMXwHp/X73jN/v+efcx5X0BL/rnqwia6cPJ2kTbyYNI2j1MP+t9IB9oWwQvtBzYpeT1zsDKBsoAEBFzgbmQDONtXZiJIt9H0YoLYDOTxTX7/nk3IRXhAl7kz1eny3s9j27Qn/VAXkTSeT2ZZORVqYiIc1oU0+3AbpImkcyxdQxwbFmZ+cCJkq4gad56LCJa2nzVDdp9Aax3/IEYJtpuvoB3r4FYz6PbZb0PZBzwS5LhvMHzTUil3+hbkkAiYqOkE0lm/x0CXBwRv5f00XT/t4HrSIbw3kcyjHcga0gdpd0XwHrH7+Rhotbdmm2itYx3okv6PvB3JAtHPUjyrX8t8EGSBaYOjYgH2hhnS/T3TnTLXyd3Ylpn853uz2vqTnTgH4B/4/l+hs0RsYxkht4hJBMrlg+1NWuam5AsL0XoAyu6rAnkpcDKiNgs6Slg+5J9NwIntjwyM7Oc+QtMbVnvRF8O7JA+/xNwaMm+1wEbWhmUmZkVX9YayM+BN5EsHHUh8E1JewPPkUzvfmF7wjMzs6Lqz4JSowEi4gJJ25J0nr8Y+BJeUMrMbNDJmkCeA7aMsoqI/wT+sy0RmZlZR6jbB5LWNh5h634PMzMb5OomkIjYCKwGNtUra2Zmg0fWUViXAR9uZyBmZtZZsvaBLAOOlXQ7yQy9qyib/TYiLm5taGZmzfFMBu2VNYF8M30cD7y2wv4AnEDMrDC6YTr2osuaQCa1NQozsxbzdOztl3U9kMwTJSpZfeqzwNyIeKjRwMzMmuHp2Nsvayd6f495JjCuDcc2M8ukE9aU73TtSCBQeclZM7MBc/K0yYwYOmSrbV5PprUyr0hoZtZJPB17+zmBmFnX8nTs7dWuJiwzM+tyTiBmZtYQJxAzM2tIOxJIkEz9/kwbjm1mZgXR8k70iNiM71w3M+t6mRKIpBtr7N4MPAbcAXwnIla3IjAzMyu2rDUQAa8ExgL3k6wPshNJTWNV+vpw4CRJb4qIu9sQq5mZFUjWPpCvAhuA10bEKyLiDRHxCmBKuv1zwG7AWuDf2xKpmZkVStYE8nngrIhYXLoxIu4gSR6fj4jlwHnAga0N0czMiihrE9YrgYer7FsL/F36/E/AyGYCkjQa+G9gIslCVu+KiL+WldkFuBR4GUkfzNyI+Foz72tmxeMFoYotaw1kGdWXtJ2V7gfYAXikuZCYDdwQEbsBN6Svy20E/jUidgdeD5wgaY8m39fMCqRvQagV69YTPL8g1LzFK/IOzVJZayBnA5dJ+i3wI2ANsCPwTuDVwLFpuYOB25qMaTowNX1+CbAIOLW0QESsIum8JyKekHQPyWqJ7rw36xJeEKr4si4odbmkh0n6O04HhgLPAb3AoRGxMC36KWBT5aNktlOaIIiIVZJ2rFVY0kRgH6okLkmzSGpJTJgwocnQzGygeEGo4st8I2FEXA9cL2kbkqaqh9ObBkvLbMhyLEkLSfovyn06azzpcf6GpEb0yYh4vErcc4G5AD09PdGf45tZfsaNGsGKCsnCC0IVRyN3or8YGAaMAJ5q5E0j4uBq+yStljQ2rX2MJWkuq1RuKEny+H5EXN1IHGZWXCdPm8xpV9+1VTOWF4QqlsxzYUmaJqkXWEfSaf6YpF9LOqTFMc0HjkufHwdcUyEWAd8B7omIr7b4/c2sAGbsM55zj9yT8aNGIGD8qBGce+Se7v8oEEXUb9WRNA24FrgPuBx4iOSu9HeTDOE9PG3iaj4g6aXAlcAE4EHg6Ih4VNI44KKIOFzSG4GbgbtIhvECnB4R19U6dk9PT/T29rYiTDOzQUPSHRHR84LtGRPI/wF/Bd5W2u+R9of8BBgVEW9oYbxt4QRiZtZ/1RJI1ias1wDfrNBpvhn4FrB38yGamVknyZpAngFeUmXfdnjtDzOzQSdrAlkEnCNpq3U+JE0AzgJ+3tqwzMys6LIO4z0VuAW4V9KtJHeBv4xkGpF1lN0pbmZm3S9TDSQi/gjsBXyd5B6QfYHhwNeAvSNiadsiNDOzQurPneirgH9rYyxmZtZBMt9IaGZmVqpqDaTOOujlIiIOakE8ZmbWIWo1YW0DZJ18UC2IxczMOkjVBBIRUwcwDjMz6zDuAzEzs4Y4gZiZWUOcQMzMrCFOIGZm1hAnEDMza0jdBCLpRZLOlzRlIAIyM7POUDeBRMSzwD+RrIFuZmYGZG/CWgzs2c5AzMyss2RNIP8K/Jukt0nyXedmZpZ5Nt4fAn8LXANslLSGrac5iYh4eauDMzOz4sqaQG4g+7xYZmY2CGRKIBFxfJvjMDOzDuP7QMzMrCGZE4ikPSVdJWmtpI2S1ki6UpJHZ5mZDUKZmrDSmwhvAtYD84GHgJcB/wgcIenAiLijbVGamVnhZO1EPxf4HXBQRDzRt1HSdsDCdP+hrQ/PzMyKKmsT1uuBc0uTB0D6+ovA/q0KSNJoSddLWpo+bl+j7BBJiyX9pFXvb2Zm2WRNIPWG8LZyiO9s4IaI2I1k+PDsGmU/AdzTwvc2M7OMsiaQ24DT0yarLSSNBE4Fbm1hTNOBS9LnlwAzKhWStDNwBHBRC9/bzMwyytoHcjqwCHggbS5aRdKJfgTJJItTWxjTThGxCiAiVknasUq5/wBOAbarsh8ASbOAWQATJkxoYZhmZoNb1hsJfy3p9cAZwDRgNPAocCNwTkTc1Z83lbSQJAGV+3TG338bsCYi7pA0tU7sc4G5AD09Pb6b3sysRaomEEkfB66IiDWSJgD3RMRRrXjTiDi4xvuuljQ2rX2MBdZUKHYA8HZJhwPDgZdIuiwiZrYiPjMzq69WH8j5wMT0+f3APm2PJjEfOC59fhzJBI5biYjTImLniJgIHAPc6ORhZjawaiWQdTzfzCQGbjLFOcAhkpYCh6SvkTRO0nUDFIOZmdVRqw/kFuASSb9JX18g6fEqZSMiDmpFQBHxCPCCY0XESuDwCtsXkXTwm5nZAKpVA/kIcDmwmaT2sS0wtMrPi9obppmZFU3VGkhErAb+BUDSZmBWRPx6oAIzM7Niy3ofyCRgZTsDMTOzzpL1PpAH2h2ImZl1Fi8oZWZmDXECMTOzhjiBmJlZQ1qSQCS9uBXHMTOzztFUApE0VdJ3SZa4NTOzQSTrMN4tJO0GvB94H7AL8AxwdYvjMjOzgsuUQCT9LcmkhccB+/H83FhfBL4YEY+1LUIzMyukqk1YkraRdISkK0kWkLqApMbxJZLp1AX81MnDzGxwqlUDWQHsCDwN/Ai4FFgYEZHWSMzMbBCrlUB2Sh9/DcwDFkWEV/QzMzOg9iisfwAuAvYFrgQekvStdGlbMzMb5KomkIi4JSJmAWOBmcDtJFO83wIsIelE334ggjQzs+Kpex9IRGyIiMsj4jBgAnAa8CRJJ/qPJC2UdGyb4zQzs4KpNQrrYkmTSrdFxKqI+FJE7AlMIRmZtRfwvfaGaWZmRVOrBnI8MKbazoi4IyI+BowD3tniuMzMrOD6fSd6uYjYSDJKy8zMBhHPxmtmZg2pVwP5R0mvznKgiLi4BfGYmVmHqJdAPp3xOAE4gZiZDSL1Esg7SO75MDMz20q9BLIqIh4YkEjMzKyjuBPdzMwaUrgEImm0pOslLU0fK06XImmUpKsk/UHSPZL2H+hYzcwGs1oJ5M3A3QMVSInZwA0RsRtwQ/q6kq+RrEfyKuA1wD0DFJ+ZmVE7gUynbLJESUeWrwUi6ZWS5rcwpunAJenzS4AZ5QUkvQQ4EPgOQEQ8GxHrWhiDmZnVUSuBfIJkJl4AJA0Bfgi8oqzc9sARLYxpp4hYBcncWySLWpXbFVgLfFfSYkkXSRpZ6WCSZknqldS7du3aFoZpZja41Uogyrit39IZfH9X4Wd6xkNsS7JOyQURsQ/wFFWauiJibkT0RETPmDFVp/YyM7N+anourEZExMHV9klaLWlsRKySNBZYU6HYcmB5RNyWvr6K6n0lZmbWBoUbhQXMB45Lnx8HXFNeICIeAv4iaXK66SDy6fA3Mxu06iWQSmugt3td9DnAIZKWAoekr5E0TtJ1JeU+Bnxf0m+BvYEvtDkuMzMrUa8Ja66kJ8q2fUfSkyWvt2tlQBHxCEmNonz7SuDwktdLgJ5WvreZmWVXK4H8ghfWNm6qUG5dWtbMzAaRqgkkIqYOYBxmZtZhitiJbmZmHaChYbySpgF7kdzMd3VEPN7SqMzMrPCq1kAkvUjS1yStkvSwpG+k2+YD/wt8kWQRqbskjRuogM3MrBhqNWGdAvwLsBC4EpiZPk4B3gX8PXAsMAz4THvDNDOzoqnVhPVe4JyIOBsgvQdjPvDRiLgqLXOPpB1I5s0yM7NBpFYN5OVsPTy3bwjvXWXlfgPs0sqgzMys+GolkOHA0yWv+54/U1buWWBoK4MyM7PiK+JUJmZm1gEKN5WJmZl1Bk9lYmZmDfFUJmZm1hBPZWJmZg2pdSf6pZImlW3bVZJHXJmZWc0ayExgyyLikoYAS4E92x2UmZkVX3+bsNSWKMzMrOO4D8TMzBriBGJmZg2pdyPhLElvS5+L5L6Qf5a0qqxcRMSZLY/OzMwKq14C+WCFbR+qsC0AJxAzs0Gk1o2Ebt4yM7OqnCTMzKwhmRKIpOGS3ijpaElHSTpA0vB2B2dWdN/4xjfo6elh2LBhHH/88Vvtu/LKK9l9993Zbrvt2GOPPZg3b14+QZq1Sc0+EEnDgC8BHyFZurbvPpAANki6ADg9Ip5ta5RmBTVu3Dg+85nPsGDBAtavX79l+4oVK5g5cybXXHMNhx12GNdddx1HH300y5YtY8cdd8wxYrPWqZpAJAn4CfAW4BrgOuBBkiSyC/A24CRgD+DwtkdqVkBHHnkkAL29vSxfvnzL9uXLlzNq1Cje+ta3AnDEEUcwcuRI/vSnPzmBWNeo1YR1FPBm4KiIODIiLoqIn0XEgvT5DOBo4FBJR7YqIEmjJV0vaWn6uH2VcidJ+r2k30m63E1qViQ9PT3svvvuzJ8/n02bNjFv3jyGDRvGXnvtlXdoZi1TK4G8B7gyIn5crUBEXA38EHhvC2OaDdwQEbsBN6SvtyJpPPBxoCciXg0MAY5pYQxmTRkyZAjvf//7OfbYYxk2bBjHHnssF154ISNHjsw7NLOWqZVA9gGuzXCMnwD7tiYcAKYDl6TPLwFmVCm3LTBC0rbAi4GVLYzBrCkLFy7klFNOYdGiRTz77LPcdNNNfPjDH2bJkiV5h2bWMrUSyBiSPo96HgRa2ai7U0SsAkgfX3DsiFgBfDl971XAYxHxs0oHkzRLUq+k3rVr17YwTLPqlixZwoEHHkhPTw/bbLMNU6ZMYb/99mPhwoV5h2bWMrUSyIuBZzIc41mgX/0PkhamfRflP9Mz/v72JDWVScA4YKSkmZXKRsTciOiJiJ4xY8ZUKmLWsI0bN7JhwwY2bdrEpk2b2LBhAxs3bmTKlCncfPPNW2ocixcv5uabb3YfiHWVelOZjJe0a50yO/f3TSPi4Gr7JK2WNDYiVkkaC6ypUOxg4P6IWJv+ztXAG4DL+huLWTNmnnAK/z33/C2vL7vsMs4880zOOusszjrrLI466ihWr17NmDFjOP300zn00ENzjNasteolkKsyHKNvksVWmQ8cB8xJH6+pUOZB4PWSXgysBw4CelsYg1ld8xav4Dc7HsrLTz1oy7YRQ4ew9/RkzbUTTzyRE088Ma/wzNquVgL5wIBFsbU5wJWSPkSSKI4GkDQOuCgiDo+I2yRdBdwJbAQWA3NzitcGqfMW3Mv65zZttW39c5s4b8G9zNhnfE5RmQ2cWpMpXlJtXztFxCMkNYry7SspuWExnT7eMwBbblauW9+v7WbdxpMpmjVo3KgR/dpu1m2cQMwadPK0yYwYOmSrbSOGDuHkaZNzishsYNXrRDezKvr6Oc5bcC8r161n3KgRnDxtsvs/bNBwAjFrwox9xjth2KDlJiwzM2uIE4iZmTXECaRAli5dyvDhw5k5s+KsLGZmheIEUiAnnHACU6ZMyTsMM7NMnEAK4oorrmDUqFEcdNAL7qE0MyskJ5ACePzxxznjjDP4yle+kncoZmaZOYEUwGc/+1k+9KEPscsuu+QdiplZZr4PJGdLlixh4cKFLF68OO9QzMz6xQkkZ4sWLWLZsmVMmDABgCeffJJNmzZx9913c+edd+YcnZlZdYpo5VIexdbT0xO9vcVaNuTpp5/m8ccf3/L6y1/+MsuWLeOCCy7AKyiaWRFIuiMiesq3uwaSs5/d+9et5lLa5YnNDB8+3MnDzArPCSRH8xav4LSr79qyKNGKdet5dMdDOffIPXOOzMysPo/CylGtFe3MzIrOCSRHXtHOzDqZE0iOvKKdmXUyJ5AceUU7M+tk7kTPkVe0M7NO5gSSM69oZ2adyk1YZmbWECcQMzNriBOImZk1xAnEzMwa4gRiZmYNGVSz8UpaCzzQ4K/vADzcwnBazfE1x/E1x/E1p+jxvTwiXjDD66BKIM2Q1FtpOuOicHzNcXzNcXzNKXp81bgJy8zMGuIEYmZmDXECyW5u3gHU4fia4/ia4/iaU/T4KnIfiJmZNcQ1EDMza4gTiJmZNcQJpA5Jh0m6V9J9kmbnHU8lkpZJukvSEkm9BYjnYklrJP2uZNtoSddLWpo+bl+w+M6StCI9h0skHZ5jfLtI+rmkeyT9XtIn0u2FOIc14ivEOZQ0XNKvJf0mje9z6fainL9q8RXi/PWH+0BqkDQE+CNwCLAcuB14T0TcnWtgZSQtA3oiohA3Ikk6EHgSuDQiXp1u+xLwaETMSRPx9hFxaoHiOwt4MiK+nEdMpSSNBcZGxJ2StgPuAGYAx1OAc1gjvndRgHMoScDIiHhS0lDgl8AngCMpxvmrFt9hFOD89YdrILW9DrgvIv4cEc8CVwDTc46p8CLiF8CjZT7+iOYAAAejSURBVJunA5ekzy8hueDkokp8hRERqyLizvT5E8A9wHgKcg5rxFcIkXgyfTk0/QmKc/6qxddxnEBqGw/8peT1cgr0H6VEAD+TdIekWXkHU8VOEbEKkgsQsGPO8VRyoqTfpk1cuTWxlZI0EdgHuI0CnsOy+KAg51DSEElLgDXA9RFRqPNXJT4oyPnLygmkNlXYVsRvCgdExL7AW4ET0iYa658LgFcAewOrgK/kGw5I+hvgR8AnI+LxvOMpVyG+wpzDiNgUEXsDOwOvk/TqvGKppEp8hTl/WTmB1LYc2KXk9c7AypxiqSoiVqaPa4AfkzS9Fc3qtO28rw19Tc7xbCUiVqf/qTcD/4+cz2HaNv4j4PsRcXW6uTDnsFJ8RTuHaUzrgEUk/QuFOX99SuMr4vmrxwmkttuB3SRNkvQi4Bhgfs4xbUXSyLQjE0kjgUOB39X+rVzMB45Lnx8HXJNjLC/Qd2FJvYMcz2Hayfod4J6I+GrJrkKcw2rxFeUcShojaVT6fARwMPAHinP+KsZXlPPXHx6FVUc6lO4/gCHAxRHx7zmHtBVJu5LUOgC2BX6Qd4ySLgemkkxRvRo4E5gHXAlMAB4Ejo6IXDqyq8Q3laTpIIBlwD/1tZfnEN8bgZuBu4DN6ebTSfoZcj+HNeJ7DwU4h5L2IukkH0LyJfnKiDhb0kspxvmrFt/3KMD56w8nEDMza4ibsMzMrCFOIGZm1hAnEDMza4gTiJmZNcQJxMzMGuIEYl1H0qGS/lfSI5I2SPqjpC+WTw0hKSR9Pq8420XSDEmfqrB9avo3T80hLOtCTiDWVSSdDiwANgAfBqYB3yaZyfZ2SbtU/+2uMQN4QQIB7gT2Tx/NmrZt3gGYtYqkNwOfB/4jIk4q2XWTpB+TTDt+KfDmPOKrRNKwiHhmIN4rna/q1oF4LxscXAOxbnIKyTTtp5XviIj7gTnAVEn7leySpE9LWi5pvaRfSNqbrQtMk/QrSY9JelLJAmNnlJV5jaT5kv6aHucWSf9QVua/0vfZPz3eeuBLkq6TdEd5zJLGStoo6ZPp6zGSLkyb5J6W9BdJP5A0vvQ9SKbpGJ82V4WS9WIqNmEpcVL6Nz0raZWkb0h6SVksIenzkj4u6X5JT0i6SdLf1/j3sC7nBGJdQdK2wJtIpsbeUKVY3zxmbynZ9n7gcOBEkmaunYAbJI1Oj7tr+nv3A+8G3g58FRhZ8t77Ar8CRgMfAd4JPAIslPTashj+lmRdmctJZk/+AUmtaF9Je5SVPTZ9vDx9HE3SNHcayeSAJwO7AbdIGp6WOQe4DlhL0ly1P8m8StX8e/r3XA/8I/Cl9DxcK6n8+jATOIJk8aMPkEwJck167m0wigj/+Kfjf0gu/AGcW6PM8LTMt9LXATxMsjpcX5mJwHPAOenro9JyL6lx3BtIFlV6Ucm2Iem2eSXb/is91vSy3x8BPFYeO7AEuK7G+w4hmS06gHeUvc/yCuWnpmWnpq/7EtJ/lZWbmZZ7e8m2AJYCQ0u29Z2bN+T97++ffH5cA7FuUWntliyui4in+l5ExDKSfoL9001LSBLKFZKOkrTVIkTpbKpvAn4IbJa0bfqNXMBCoHxtlo3AT0o3RMR6kqnR35vOdIukPYHXkNROSt/vn5Wspf1keqwH012TG/jbXw8MAy4r235Feuw3lW2/PiKeK3l9V/o4oYH3ti7gBGLd4mFgPUkNopq+faWrTK6uUG416cqTEXEfyUiubYDvAQ9Juk1S38V1NElN4LMkiab050Rg+7KmoDURsanCe15KUpuYmr5+H/AEJVOOS/oY8C2SxHQkyXoRr0939zVh9cfo9HGrGV8jYiNJE9zosvLlM9f2df438t7WBdx2aV0hIjZK+gVwiKThUbkf5O3p440l23aqUG4nYEXJsX8O/FzSMOAA4GySPoKJwDqSKc2/SVltoeT3N5e+rPIn3ERSm5gp6SaSqdGvSmsnfY4BboiIf+3bIGlSleNl0ZcQXgb8vuSY2wIvJUkiZlW5BmLd5DySC98XynekF9pTgV/E8+tPAxyuZCGuvnITSb7V/1/5MSLimYi4kaSjeSQwKW3+upmkuenOiOgt/8kSeEQE8H2SfoXDSVa/LE9ILyap2ZT6QIXDPUPSr1LPrWnZY8q2v5vky+VNGY5hg5hrINY1IuKGdHjt2WkiuBT4K7AvMJuko/p9Zb+2HviZpPNI+gM+BzwOnA8g6aMk/RjXkTR97UAyCmolz68Y9yngF8ACSd8haRLaIX3fIRExO+OfcGl67G+n71V+Af8pcGp6s+SvSUaTHVXhOHcDoyX9M9ALbIiIu8oLRcSjkr4KnCbpqfRv3J3kXppfAtdmjNsGKScQ6yoRcY6k24GTgO+SfGt/kOTifG68cAW6S4GngG+QXPRvB44pKfcbkuG25wI7kjT7/BJ4b1/zUkTcKWkKycqGXycZqruW5I7vb/cj9j9I6gV60ljLm7vOBkalf9twkgQzDfhzWbmLSGpRX0jLP0D1vqFPp7F+FPgXkmarS4HTyprezF7AKxKamVlD3AdiZmYNcQIxM7OGOIGYmVlDnEDMzKwhTiBmZtYQJxAzM2uIE4iZmTXECcTMzBry/wEgS6yhmy516QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "infl.plot_index(y_var='dfbeta', idx=1, threshold=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZAAAAEdCAYAAAAikTHKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nO3de7xVdZ3/8dc7REGnhlRUQAlsjNHU1DnkrZRKw9QJIqfQKE2LnJ/dzPFWeUktLRovjWUxamkXTc2QSSYUzEs6moCUV9LyxkXAC14KRODz+2Oto5vNvqyzr2uf834+Hvuxz17ru9f+nMVhf9b3sr5fRQRmZmY99aZ2B2BmZp3JCcTMzGriBGJmZjVxAjEzs5o4gZiZWU2cQMzMrCZOINZnSDpKUkj6pwYe81ZJtzbqeBk/84n09whJ6yQ9Lek6Sf9cUKb7dx3Rw2OPkHSmpO0bHbf1Pk4gZp1pJrA38B7gdODdwB2StqrzuCOAMwAnEKtqo3YHYGY1eTYi7k5/vkvSX4FbgUnA+W2LyvoU10CsT0uboH4v6QBJ8yT9XdIDksaXKDtR0iOSXpX0oKSPlDnmlpIukbQoLfuIpMkF+4dIWibp10Xvm5w2Ox1Sw69yb/pctnlOUn9J56RNYKvT53Mk9U/3jwF+lxa/uaCZbEwN8Vgf4ARiBm8HLiK5cp8ALAGuK+wrkXQA8Avg0bTMlPQ9owoPJOktwJ3AIcCZ6fP/AJdI+gJARCwBPg2Ml3Rs+r4dgQuA/4qIG2v4HUamzysqlLkCOAW4EjgU+DFwcrodYB5wXPrzF0mayPZOt5ttwE1YZrAlsF9EPAogaR5JEvkY8K20zDeAR4BxEbEuLfcwcDewoOBYXwLeBuzSfTxglqRBwBmSLomINRFxo6TvAedLuhe4HHgMOCljzJK0EclF4DuAHwHrgOvKFN4ZOBz4RkScmW6+SdJa4GxJ50XEnyQ9lO57uKCJzKwk10DM4NGCL3siYhmwDBgOIKkfMBq4rjt5pOXuAZ4oOtZBwD3A45I26n6QdHpvAexUUPYk4M8kNZYdgMMjYlXGmI8AXgNeBe4HhgL/FhHlagv7pc8/K9re/Xr/jJ9r9jrXQMzg+RLbXgUGpD9vCfQHlpYoV7xtK5J+iNfKfNYW3T9ExKuSfklSy7khIh4q855S/pdk9NVaYHFElIqt0Obp85Ki7c8U7TfLzAnErLpnSRLC1iX2bQ08WfD6OZLay5fKHOv15i5J7wROA+YA4ySNi4gbMsb0fETMyVgW3kiS2wB/Kdi+Tfr8XA+OZQa4CcusqohYSzLK6TBJr/+fkbQnyX0ThX4L/DPwVETMKfF4OX3vAOAqkn6VfYHrgcskDW3Sr3Fb+jyxaPsn0ufb0+dX0+eBTYrDehHXQMyyOQO4CZgm6UfAYJKO9WeKyl0AfJzkpr4LSGocm5EklfdGxLi03BSS0V97RMRqSZ8F/gj8VNKBhX0tjRARD0q6Cjgz7ZO5i2SE1WnAVRHxp7Ton4E1wNGSnidJKAu6E59ZIddAzDKIiFkkV+ujSGoLJwJfZv0RWETEi8A+wAySIbIzSUZYjSO9x0LSocDngS9FxIL0fc+T3AQ4Jj12MxwJfBs4Oo3vmPT1kQXxP5fG9i6SWsu9wL80KR7rcPKStmZmVgvXQMzMrCZOIGZmVhMnEDMzq4kTiJmZ1aRPDePdcsstY8SIEe0Ow8yso8ydO/fZiBhcvL1PJZARI0YwZ05Pbt41MzNJT5ba7iYsMzOrSS4TiKSDJC2Q9JikU0rs/4SkP6WPuyS9qx1xmpn1ZblLIOnU2d8HPkQy9fXhknYqKvY4sH9E7AqcDUxtbZRmZpa7BAK8G3gsIv4aEauBq0mmgXhdRNwVES+kL+8Gtm1xjGZmfV4eE8gw4OmC1wvTbeUcQ7I2gpmZtVAeR2GpxLaSE3ZJeh9JAnlP2YNJk4HJAMOHD29EfNZC0+5bxJSZC1i8YiVDBw3kxLGjGL97pesJM2uVPNZAFgLbFbzeFlhcXEjSrsClJGtUl10MJyKmRkRXRHQNHrzBMGbLsWn3LeLU6+9n0YqVBLBoxUpOvf5+pt23qN2hmRn5TCD3AjtIGilpY5IFcKYXFpA0nGRK7U9GxJ/bEKM1yLT7FrHvebcw8pQb2fe8W9ZLDlNmLmDla2vXK7/ytbVMmbmg+DBm1ga5a8KKiDWSPk+yjkI/4PJ0MZxj0/0/JFkLegvgB5IA1kREV7tittp01zC6k0R3DQNg/O7DWLxiZcn3ldtuZq2VuwQCEBEzSBa8Kdz2w4KfPwN8ptVxWWNVqmGM330YQwcNZFGJZDF0kFdbNcuDHjVhSXqTpJ0l7S9ps2YFZX1DtRrGiWNHMbB/v/X2DezfjxPHjmp6bGZWXeYaiKTjSNaF3iLdNBqYJ2kacEtEfK8J8VkvVq2G0T3ayqOwzEpr9yjFTAlE0meBi0jWdr4JuKZg9x3ARwEnEOuRE8eOWq8PBDasYYzffZgThlkJ1foQWyFrDeQrwH9GxMnpVCOFHgFObGxY1he4hmHN1u4r9Gaq1ofYClkTyEiSUVGl/A0Y1JhwrK9xDcOaJQ9X6M2Uh1GKWTvRnwVGlNk3CvCdXWZtUOk+mr6ut99HVG40YitHKWZNIP8DnC5p+4JtIWlL4HhgWsMjM7OKfKd+ZXm4Qm+mPIxSzJpAvg68CjwAzCKZm+p7wMPAWuCspkRnZmX19ivseuXhCr2Zxu8+jHMn7MKwQQMRMGzQQM6dsEv+RmFFxHOSuoAvA2OBv6TvvRi4ICJeal6IZlZKb7jCbmYnd5ZRfnlX7fy0uw8x830gEfEyyeJNZzcvHDPLqtPv1G92J3enj/LrhEEAuZzKxMyq6/Qr7FYMQ233FXo98jBMt5qe3Il+JHA4MBwYULQ7IuLtjQzMzCrr9Cvs3tAE10ydcH6y3ol+GvANkk70+SQd6mbWZnm/wq7Uht/pTXDN1gnnJ2sN5Bjgoog4vpnBmFm+1NPJXa0Nv9Ob4KD6+ann/HXC+cmaQLYguRfErKP05qksmq3eTtxqbfid3gRX7fxkOX+V/j474fxkTSC3Ae8CbmliLLlU7xdQu9/f7uO3UyeMYsmzejtxs7Th570JrpJq56fa/ix/n3k/P1kTyJeB6yU9R7LQ0/PFBSJiXSMDy4N6v4Da/f52H78VKiXAThjFkucEXm8nbie04dej2vmptr8T/j6ryXon+p+BnYEfA0uB14oeq5sSXZvVe6dvu9/f7uM3W7WpPPI+iiXvU5HUeyd3HqbaaKZq56fa/lb8fTZ7rrSsNZCzSKYv6VPq/QduxfvruYLN+xdsNZ2+JG7er0CzdOJ2eht+Paqdn2r7m/332YoWhqxTmZzZkE/rMPX+Azf7/fX+geT9C7aaLEvi5nkUS6uuQGv9Aq+WAHpDG349qp2favub/ffZigsU34leQb1XYPX+gVR7f71/IHn/gq2mEUvitrMPohOuQCslgFZ8QeW5jwiqJ8hK+5tdQ2vFBUpP7kTfETgM2I7Sd6If2bCocqLeK7B6/0Cqvb/eP5BOb2Kod0ncdg8iqPcCpZpmf8E3+wuq3f8+rdDMGlorWhiy3on+KZL10ANYxoad5r22f6TeK7B6/0Aqvb8RfyDV4svzFWC9CbDdfRCNaCKqpNlf8M3+gsry75Pnv892a0ULQ9YayGnADcAxEbGiYZ/e4drdCd3sP5BOuAKsJ0E3e5BCFs1sImr2F3yz//6q/ft0wt9nO7WihSFrAtkGOLZVyUPSQcBFQD/g0og4r2i/0v0HA38HjoqIea2IrVC7O6Gb3cbfiCvAPF8hNnuQQr3qvUBp9hd8s7+gqv37tLsG2QmaPYghawK5E9gRmN20SFKS+gHfBw4EFgL3SpoeEQ8VFPsQsEP62BO4JH1uqTx0Qjezjb/eK8B2fwFX0+xBClBfAq33AqUVV6DN/IKq9u/TiBaATr4AyoOsCeTzvHEn+k3AC8UFGngn+ruBxyLirwCSrgbGAYUJZBxwZUQEcLekQZKGRMSSBsWQSd47oZvdBFLvVA7t1uxBCvUm0EZcoHTyMNpq/z71JthOvwDKg6wJZCFwH/CzMvujB8eqZhjwdNFnF9cuSpUZBrQ0gUC+/4M2uwmk3qkc8qCZgxTqTaB5v0BphUr/PvUm2E6/AMqDrF/6/w18HJgGPEJzpy5RiW3Fo7yylEkKSpOByQDDhw+vL7IO0+wmkGrHb3cfUb3q/YJqRALN8wVKu9WbYHvDBVC7ZU0g44ATI+KiZgaTWkhyr0m3bYHFNZQBICKmAlMBurq6eu1w41Ka3QRS71QOeVfvF1SnJ9BOUE+C7e0XQK2QdTLFv7F+H0Qz3QvsIGmkpI2BicD0ojLTgU8psRfwYqv7PzrB+N2Hce6EXRg2aCAChg0ayLkTdmnYFW214zf781th/O7DuPOU9/P4eYdw5ynv71HsvX0ywU5X7d/H/37VKemHrlJI+hYwJCI+3fyQQNLBwIUkw3gvj4hvSjoWICJ+mA7jvRg4iGQY76cjYk6143Z1dcWcOVWLmTWMR/Hkm0dhZSNpbkR0bbA9YwL5HHAK8BjwW0qPwrq8AXE2lROImVnPlUsgWftALkmf3wZ8oMT+IJnqxMzM+oisCWRkU6MwM7OOk3U9kCebHYiZmXWWrKOwzMzM1pN1OvfHqTJle0Rs35CIzMysI2TtA7mNDRPIFsA+wCvALY0MyszM8i9rH8hRpbZLGkQyrHdWA2MyM7MOUFcfSLo+yBTg9MaEY2ZmnaIRM+iuIpmLysw6jO+0tnrUnEAkbQTsDJwJPNiogMysNbzehdUrUxOWpHWS1hY+gFeBucA/Acc3M0gza7xK612YZZG1BnIWG47CWgU8CfxvRLzY0KjMrOm83oXVK+sorDObHIeZtZjXu7B6+U50sz7K611YvcrWQCT1ZHbdiIhjGhCPmbWI11y3elVqwno/VaYvKdCnloo16y285rrVo2wCiYgRLYzDzMw6jPtAzMysJplvJJS0KXA0sD+wOfAccCvwk4j4e1OiMzOz3Mp6I+E2wDzge0AXsCkwGrgYmCtp66ZFaGZmuZS1Ces7wFuB90bEyIjYOyJGAu8BBgHfblaAZmaWT1kTyIeAUyPizsKNEXEX8HXgkEYHZmZm+ZY1gfwDsLjMvoXpfjMz60OyJpAFwCfL7JsEPNKYcMzMrFNkHYX1XeDKtLP8F8ASYBtgInAA5ZOLmZn1UlknU/xZOoz3LODSgl1LgWMj4heNCkjS5sAvgRHAE8DHIuKFojLbAVeSJLF1wNSIuKhRMZiZWXWZbySMiKnAUOCdwHvT52ER8d8NjukUYHZE7ADMTl8XWwOcEBE7AnsBx0naqcFxmJlZBVnvA9kVICLWRcTDEXFn+ryuCTGNA65If74CGF9cICKWRMS89OeXgYcBT+hjZtZCWWsg8yX9UdIJkoY0NSLYOiKWQJIogK0qFZY0AtgduKfM/smS5kias3z58gaHambWd2VNIIeTrD54LvCUpJmSPpH2i/SYpFmSHijxGNfD4/wD8CvgyxHxUqkyETE1Iroiomvw4MG1hGtmZiVk7UT/JfBLSVuSJJNJwE+BVyT9GvhpRMzK+qERcUC5fZKWShoSEUvS2s6yMuX6kySPn0fE9Vk/28zMGqNHs/FGxLMR8V8RsScwCrgQOBD4bQNjmg4cmf58JHBDcQFJAi4DHo6I8xv42WZmllFN07mnTVfvTh9bkYyKapTzgAMlPUqSnM5LP3OopBlpmX1J7j15v6T56ePgBsZgZmZV9GQ6d/HGTYMfATYD/g84juS+jYaIiOeAD5TYvhg4OP3594Aa9ZlmZtZzmRKIpCnAEcAQ4C8kd6b/NCL+2sTYzMwsx7LWQI4GriFJGnc1MR4zM+sQWRPIkIhYnaVg2tR1Gsn0Is/UHJmZmeVapk70rMmj4JhnkEx7YmZmvVRNo7AycAe3mVkv16wEYmZmvZwTiJmZ1cQJxMzMauIEYmZmNXECMTOzmjQjgQTJ1O+vNuHYZmaWE5nnwsoqXaVwZKOPa2Zm+ZJ1LqxbKuxeB7wIzAUui4iljQjMzMzyLWsNRMA7SCZTfBxYCmxNUtNYkr4+GDhe0v4R8VATYjUzsxzJ2gdyPrAK+JeIeHtE7BMRbwdGp9u/AewALAe+2ZRIzcwsV7ImkHOAMyPivsKNETGXJHmcExELgSnAfo0N0czM8ihrAnkH8GyZfcuBf0p//gvJQlNmZtbLZU0gTwCfKbNvcrofYEvgufpCMjOzTpC1E/0s4GeS/gT8ClhGshb6R4GdSVYrhGTJ23saHaSZmeVPpgQSEVdJepakv+OrQH/gNWAO8MGImJUW/QqwthmBmplZvmS+kTAibgZulvQmkqaqZ9ObBgvLrGpwfGZmllO1TGWyKbAJMLDBsZiZWQfJnEAkjZU0B1hB0mn+oqQ/SDqwWcGZmVl+ZZ3KZCxwI/AYcDbwDMld6R8HZkg6OG3iMjOzPiJrH8iZwE3AoYX9HpLOAn5D0rnekAQiaXPgl8AIkprOxyLihTJl+5F05C+KiEMb8flmZpZN1iasdwHfL9Fpvg74AbBbA2M6BZgdETsAs9PX5XwJeLiBn21mZhllTSCvAm8ps+/NNHbtj3HAFenPVwDjSxWStC1wCHBpAz/bzMwyyppAbgXOlrTeOh+ShpM0b/2ugTFtHRFLANLnrcqUuxA4iWQ6+bIkTZY0R9Kc5cuXNzBMM7O+LWsfyMnAncACSXeTTOG+DbAXyaisk3vyoZJmpe8v9rWM7z8UWBYRcyWNqVQ2IqYCUwG6urqiJ3GamVl5We9E/7OkXYETgPcCewDPAxcBF3TXGLKKiAPK7ZO0VNKQiFgiaQjJtCnF9gU+LOlgYADwFkk/i4hJPYnDzMxq15M70ZcA/9HEWLpNB44EzkufbygRy6nAqQBpDeQ/nDzMzFqrljvRm+084EBJjwIHpq+RNFTSjLZGZmZmrytbA6myDnqxiIgPNCAeIuI5YINjRcRikmVzi7ffStLJb2ZmLVSpCetNQNZOZzUgFjMz6yBlE0hEjGlhHGZm1mHy2AdiZmYdwAnEzMxq4gRiZmY1cQIxM7OaOIGYmVlNqiYQSRtLukDS6FYEZGZmnaFqAomI1cDn8BroZmZWIGsT1n3ALs0MxMzMOkvWBHIC8B+SDpXku87NzCzzbLzXAv9IMjPuGknLWH+ak4iItzU6ODMzy6+sCWQ22efFMjOzPiDrglJHNTkOMzPrML4PxMzMapI5gUjaRdJ1kpZLWiNpmaRrJHl0lplZH5SpCSu9ifA2YCXJkrPPANsA/wocImm/iJjbtCjNzCx3snainws8AHwgIl7u3ijpzcCsdP8HGx+emZnlVdYmrL2AcwuTB0D6+tvA3o0OzMzM8i1rAqk2hNdDfM3M+pisCeQe4Ktpk9XrJG0GnAzc3ejAzMws37L2gXwVuBV4UtJvgCUkneiHkEyyOKYZwZmZWX5lvZHwD5L2Ak4HxgKbA88DtwBnR8T9zQvRzMzyqGwCkfRF4OqIWCZpOPBwRBzWutDMzCzPKvWBXACMSH9+HNi96dEAkjaXdLOkR9Pnt5YpNyi9sfERSQ9L8kgwM7MWqpRAVpD0cwCI1o20OgWYHRE7kEzieEqZchcBv42IfwbeBTzcovjMzIzKfSB3AldI+mP6+hJJL5UpGxHxgQbFNI43OuWvIOm8P7mwgKS3APsBR6UfvhpY3aDPNzOzDCrVQD4LXAWsI6l9bAT0L/PYuIExbR0RSwDS561KlNkeWA78WNJ9ki5NhxRvQNJkSXMkzVm+fHkDwzQz69sUUb1lStI6YK+I+ENDPlSaxRvNY4W+BlwREYMKyr4QEev1g0jqIrn3ZN+IuEfSRcBLEXFapc/t6uqKOXPm1P8LmJn1IZLmRkRX8fas94GMBBY3KpiIOKDcPklLJQ2JiCWShgDLShRbCCyMiHvS19dRvq/EzMyaINOd6BHxZES81uxgUtOBI9OfjyRZRrc4nmeApyWNSjd9AHioNeGZmRnkc0Gp84ADJT0KHJi+RtJQSTMKyn0B+LmkPwG7Ad9qeaRmZn1Y1iaslomI50hqFMXbFwMHF7yeD2zQJmdmZq2RxxqImZl1gIYkEEmbNuI4ZmbWOepKIJLGSPoxyRK3ZmbWh/S4D0TSDsCngE8C2wGvAtc3OC4zM8u5TAlE0j8CE0mG1e7JG3NjfRv4dkS82LQIzcwsl8o2YUl6k6RDJF1DsoDUJSQ1ju8A+5Ikkd86eZiZ9U2VaiCLSOah+jvwK+BKYFZERFojMTOzPqxSAtk6ff4DMA24NbJMnGVmZn1CpVFY7wUuBfYArgGekfSDdGlbMzPr48omkIi4MyImA0OAScC9JFO83wnMJ+lEL7laoJmZ9X5V7wOJiFURcVVEHAQMB04FXiHpRP+VpFmSjmhynGZmljOVRmFdLmlk4baIWBIR34mIXYDRJCOzdgV+2twwzcwsbyrVQI4CBpfbGRFzI+ILwFDgow2Oy8zMcq7u2XgjYg3JKC0zM+tDPBuvmZnVpFoN5F8l7ZzlQBFxeQPiMTOzDlEtgXwt43ECcAIxM+tDqiWQj5Dc82FmZraeaglkSUQ82ZJIzMyso7gT3czMauIEYmZmNamUQN4HPNSqQMzMrLNUSiDjKJosUdKE4rVAJL1D0vRmBGdmZvlVKYF8iWQmXgAk9QOuBd5eVO6twCGND83MzPKsUgJRxm0NJWlzSTdLejR9LjllvKTjJT0o6QFJV0ka0OzYzIpdfPHFdHV1sckmm3DUUUett++aa65hxx135M1vfjM77bQT06Z5xh/rXfLYiX4KMDsidgBmp6/XI2kY8EWgKyJ2BvoBE1sapRkwdOhQvv71r3P00Uevt33RokVMmjSJ888/n5deeokpU6ZwxBFHsGzZsjZFatZ4eUwg44Ar0p+vAMaXKbcRMFDSRsCmwOIWxGa2ngkTJjB+/Hi22GKL9bYvXLiQQYMG8aEPfQhJHHLIIWy22Wb85S9/aVOkZo1XLYGUWgO92euibx0RSyBZfwTYaoMAIhYB3wWeApYAL0bETaUOJmmypDmS5ixfvryJYZu9oaurix133JHp06ezdu1apk2bxiabbMKuu+7a7tDMGqbanehTJb1ctO0ySa8UvH5zTz9U0ixgmxK7Ms29lfaLjANGAiuAayVNioifFZeNiKnAVICurq5mJz8zAPr168enPvUpjjjiCFatWsXGG2/Mtddey2abbdbu0MwaplIN5HaSL+e1BY/bgBeLtq1Iy2YWEQdExM4lHjcASyUNAUifSzUaHwA8HhHLI+I14Hpgn57EYNZMs2bN4qSTTuLWW29l9erV3HbbbXzmM59h/nxPLWe9R9kaSESMaWEchaYDRwLnpc83lCjzFLCXpE2BlcAHgDkti9Csivnz57PffvvR1dUFwOjRo9lzzz2ZNWsWu+22W5ujM2uMPHainwccKOlR4MD0NZKGSpoBEBH3ANcB84D7SX6Pqe0J1/qyNWvWsGrVKtauXcvatWtZtWoVa9asYfTo0dxxxx2v1zjuu+8+7rjjDveBWK+iiJ53C0gaC+wKLAeuj4iXGh1YM3R1dcWcOa6oWONM/NxX+OXUC9bbdsYZZ3DmmWdy8cUXc+GFF7J06VIGDx7McccdxwknnNCmSM1qJ2luRHRtsL1cApG0MTAF+BjQH7ga+ArJlf+hBUWfBvaOiNwPo3UCsUaadt8iTr3+fla+tvb1bQP79+PcCbswfvdhbYzMrLHKJZBKTVgnAf8PmAVcA0xKn0eTJJV3AkcAmwBfb3TAZnk3ZeaC9ZIHwMrX1jJl5oI2RWTWWpWG8X4CODsizgJI+x+mA8dGxHVpmYclbUkyb5ZZn7J4xcoebTfrbSrVQN7G+sNzb0uf7y8q90dgu0YGZdYJhg4a2KPtZr1NpQQyAPh7wevun18tKreapI/ErE85cewoBvbvt962gf37ceLYUW2KyKy1qt2J3o6pTMw6QndH+ZSZC1i8YiVDBw3kxLGj3IFufUZbpjIx6y3G7z7MCcP6rEoJ5HY2rG3cVqJcj6cyMTOzzpfHqUzMzKwD5HEqEzMz6wBlE4ikKyWNLNq2vSSPuDIzs4o1kEnA4O4XkvoBjwK7NDsoMzPLv542YakpUZiZWcdxH4iZmdXECcTMzGpS7UbCyZK6p24XyX0h/y5pSVG5iIgzGh6dmZnlVrUEcnSJbceU2BaAE4iZWR9S6UZCN2+ZmVlZThJmZlaTTAlE0gBJ75H0b5IOk7SvpAHNDq6vefTRRxkwYACTJk1qdyhmZlVV7AORtAnwHeCzJEvXdt8HEsAqSZcAX42I1U2Nso847rjjGD16dLvDMDPLpGwCkSTgN8D7gRuAGcBTJElkO+BQ4HhgJ+Dgpkfay1199dUMGjSIffbZh8cee6zd4ZiZVVWpBnIY8D7gsIj4dYn9l0qaAFwjaUJEXN+UCPuAl156idNPP53Zs2dz2WWXtTscM7NMKvWBHA5cUyZ5AJAmjWuBTzQ6sL7ktNNO45hjjmG77by0vJl1jkoJZHfgxgzH+A2wR2PCgbSj/kFJ6yR1VSh3kKQFkh6TdEqjPr/V5s+fz6xZszj++OPbHYqZWY9UasIaTNLnUc1TwFaNCQeAB4AJwI/KFUhnBv4+cCCwELhX0vSIeKiBcbTErbfeyhNPPMHw4cMBeOWVV1i7di0PPfQQ8+bNa3N0ZmblVUogmwKvZjjGaqBhQ3oj4mGApA+/rHcDj0XEX9OyVwPjgI5LIJMnT2bixImvv/7ud7/LE088wSWXXNLGqMzMqqs2lckwSdtXKbNto4LpgWHA0wWvFwJ7liooaTIwGXj9Kj9PblrwAlNmLmDxipUMHTSQ7V5ex4ABAxg8eHD1N5uZtVG1BHJdhmN0T7KYmaRZwDYldn0tIm7I+JnFSsYQEVOBqQBdXV09irPZpt23iFOvv5+Vr60FYNGKlTy/1Qc5d4LX7DKz/KuUQD7drA+NiAPqPMRCkntRum0LLK7zmC03ZeaC15NHt5WvrWXKzAWM331Ym6IyM8um0mSKV7QykB66F9ghXbN9ETAROKK9IfXc4hUre7TdzCxPcjeZogq7GcwAAAm6SURBVKSPSFoI7A3cKGlmun2opBkAEbEG+DwwE3iY5H6VB9sVc62GDhrYo+1mZnmSuwQSEb+OiG0jYpOI2DoixqbbF0fEwQXlZkTEOyLi7RHxzfZFXLsTx45iYP9+620b2L8fJ44d1aaIzMyyq9aJbk3U3c9ROArrxLGj3P9hZh3BCaTNxu8+zAnDzDpS7pqwzMysMziBmJlZTZxAzMysJk4gZmZWEycQMzOriSJyNT1UU0laDjxZ49u3BJ5tYDiN5vjq4/jq4/jqk/f43hYRG8zw2qcSSD0kzYmIsgtctZvjq4/jq4/jq0/e4yvHTVhmZlYTJxAzM6uJE0h2U9sdQBWOrz6Orz6Orz55j68k94GYmVlNXAMxM7OaOIGYmVlNnECqkHSQpAWSHpN0SrvjKUXSE5LulzRf0pwcxHO5pGWSHijYtrmkmyU9mj6/NWfxnSlpUXoO50s6uNIxmhzfdpJ+J+lhSQ9K+lK6PRfnsEJ8uTiHkgZI+oOkP6bxfSPdnpfzVy6+XJy/nnAfSAWS+gF/Bg4kWYf9XuDwiHiorYEVkfQE0BURubgRSdJ+wCvAlRGxc7rtO8DzEXFemojfGhEn5yi+M4FXIuK77YipkKQhwJCImCfpzcBcYDxwFDk4hxXi+xg5OIeSBGwWEa9I6g/8HvgSMIF8nL9y8R1EDs5fT7gGUtm7gcci4q8RsRq4GhjX5phyLyJuB54v2jwOuCL9+QqSL5y2KBNfbkTEkoiYl/78MsmyzcPIyTmsEF8uROKV9GX/9BHk5/yVi6/jOIFUNgx4uuD1QnL0H6VAADdJmitpcruDKWPriFgCyRcQsFWb4ynl85L+lDZxta2JrZCkEcDuwD3k8BwWxQc5OYeS+kmaDywDbo6IXJ2/MvFBTs5fVk4glanEtjxeKewbEXsAHwKOS5torGcuAd4O7AYsAf6zveGApH8AfgV8OSJeanc8xUrEl5tzGBFrI2I3YFvg3ZJ2blcspZSJLzfnLysnkMoWAtsVvN4WWNymWMqKiMXp8zLg1yRNb3mzNG07725DX9bmeNYTEUvT/9TrgP+mzecwbRv/FfDziLg+3Zybc1gqvrydwzSmFcCtJP0LuTl/3Qrjy+P5q8YJpLJ7gR0kjZS0MTARmN7mmNYjabO0IxNJmwEfBB6o/K62mA4cmf58JHBDG2PZQPcXS+ojtPEcpp2slwEPR8T5BbtycQ7LxZeXcyhpsKRB6c8DgQOAR8jP+SsZX17OX094FFYV6VC6C4F+wOUR8c02h7QeSduT1DoANgJ+0e4YJV0FjCGZonopcAYwDbgGGA48BfxbRLSlI7tMfGNImg4CeAL4XHd7eRview9wB3A/sC7d/FWSfoa2n8MK8R1ODs6hpF1JOsn7kVwkXxMRZ0nagnycv3Lx/ZQcnL+ecAIxM7OauAnLzMxq4gRiZmY1cQIxM7OaOIGYmVlNnEDMzKwmTiDW60j6oKT/lfScpFWS/izp28VTQ0gKSee0K85mkTRe0ldKbB+T/s5j2hCW9UJOINarSPoqMBNYBXwGGAv8kGQm23slbVf+3b3GeGCDBALMA/ZOn83qtlG7AzBrFEnvA84BLoyI4wt23Sbp1yTTjl8JvK8d8ZUiaZOIeLUVn5XOV3V3Kz7L+gbXQKw3OYlkmvZTi3dExOPAecAYSXsW7JKkr0laKGmlpNsl7cb6BcZKukvSi5JeUbLA2OlFZd4labqkF9Lj3CnpvUVlfpJ+zt7p8VYC35E0Q9Lc4pglDZG0RtKX09eDJf0obZL7u6SnJf1C0rDCzyCZpmNY2lwVStaLKdmEpcTx6e+0WtISSRdLektRLCHpHElflPS4pJcl3SbpnRX+PayXcwKxXkHSRsD+JFNjrypTrHses/cXbPsUcDDweZJmrq2B2ZI2T4+7ffq+x4GPAx8Gzgc2K/jsPYC7gM2BzwIfBZ4DZkn6l6IY/pFkXZmrSGZP/gVJrWgPSTsVlT0ifb4qfd6cpGnuVJLJAU8EdgDulDQgLXM2MANYTtJctTfJvErlfDP9fW4G/hX4TnoebpRU/P0wCTiEZPGjT5NMCXJDeu6tL4oIP/zo+AfJF38A51YoMyAt84P0dQDPkqwO111mBPAacHb6+rC03FsqHHc2yaJKGxds65dum1aw7SfpscYVvX8g8GJx7MB8YEaFz+1HMlt0AB8p+pyFJcqPScuOSV93J6SfFJWblJb7cMG2AB4F+hds6z43+7T739+P9jxcA7HeotTaLVnMiIi/db+IiCdI+gn2TjfNJ0koV0s6TNJ6ixCls6nuD1wLrJO0UXpFLmAWULw2yxrgN4UbImIlydTon0hnukXSLsC7SGonhZ/370rW0n4lPdZT6a5RNfzuewGbAD8r2n51euz9i7bfHBGvFby+P30eXsNnWy/gBGK9xbPASpIaRDnd+wpXmVxaotxS0pUnI+IxkpFcbwJ+Cjwj6R5J3V+um5PUBE4jSTSFj88Dby1qCloWEWtLfOaVJLWJMenrTwIvUzDluKQvAD8gSUwTSNaL2Cvd3d2E1RObp8/rzfgaEWtImuA2LypfPHNtd+d/LZ9tvYDbLq1XiIg1km4HDpQ0IEr3g3w4fb6lYNvWJcptDSwqOPbvgN9J2gTYFziLpI9gBLCCZErz71NUWyh4/7rCl2V+hdtIahOTJN1GMjX6dWntpNtEYHZEnNC9QdLIMsfLojshbAM8WHDMjYAtSJKIWVmugVhvMoXki+9bxTvSL9qTgdvjjfWnAQ5WshBXd7kRJFf1/1d8jIh4NSJuIelo3gwYmTZ/3UHS3DQvIuYUP7IEHhEB/JykX+FgktUvixPSpiQ1m0KfLnG4V0n6Vaq5Oy07sWj7x0kuLm/LcAzrw1wDsV4jImanw2vPShPBlcALwB7AKSQd1Z8settK4CZJU0j6A74BvARcACDpWJJ+jBkkTV9bkoyCWswbK8Z9BbgdmCnpMpImoS3Tz+0XEadk/BWuTI/9w/Szir/AfwucnN4s+QeS0WSHlTjOQ8Dmkv4dmAOsioj7iwtFxPOSzgdOlfS39HfckeRemt8DN2aM2/ooJxDrVSLibEn3AscDPya5an+K5Mv53NhwBborgb8BF5N86d8LTCwo90eS4bbnAluRNPv8HvhEd/NSRMyTNJpkZcPvkQzVXU5yx/cPexD7I5LmAF1prMXNXWcBg9LfbQBJghkL/LWo3KUktahvpeWfpHzf0NfSWI8F/h9Js9WVwKlFTW9mG/CKhGZmVhP3gZiZWU2cQMzMrCZOIGZmVhMnEDMzq4kTiJmZ1cQJxMzMauIEYmZmNXECMTOzmvx/5IEO7dc9jNcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "infl.plot_index(y_var='dfbeta', idx=2, threshold=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAY8AAAEdCAYAAAD0NOuvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nO3deZhcZZn38e+PJoEQ0QiELRATfRGJgsI0myiEUQmLmhBB2WQZNS8jKC4vq4IozICiKA4IZoSBiMKwxJCRaDBgAsqg6UAgAgYjBMgiCSCbJIGE+/3jnA6VotZUVZ9TXb/PdfVVXec8fequ01V117Oc51FEYGZmVo8Nsg7AzMzaj5OHmZnVzcnDzMzq5uRhZmZ1c/IwM7O6OXmYmVndnDysI0g6XlJI+j9NPOZMSTObdbwaH3Nh+jxC0muSnpR0k6R3FZTpfa4j6jz2CEnnSnp7s+O2/sfJw6z9TAf2Bj4AnAPsAdwlacsGjzsC+Abg5GFVbZh1AGZWt6cj4p7097slPQrMBI4BLs4sKusornlYx0qbnX4n6cOS7pX0sqQ/SRpXouwRkv4saZWkByUdWuaYW0i6XNLitOyfJU0o2L+NpGWSflH0dxPSpqZD1uOpzE5vyzbJSRog6fy02euV9PZ8SQPS/aOB36bFf1PQNDZ6PeKxDuDkYZ3uHcAlJN/YxwNLgZsK+0YkfRj4OfCXtMxF6d/sWHggSW8Gfg8cApyb3v4PcLmkLwBExFLgBGCcpBPTv9sJ+D7wHxFx63o8h5Hp7XMVylwDnAFMAj4K/Bdwerod4F7gpPT3L5I0i+2dbjd7AzdbWafbAtg3Iv4CIOlekgTySeDf0zLfBP4MjI2I19JyDwP3APMLjnUK8DZg597jATMkDQG+IenyiFgdEbdK+iFwsaTZwFXAAuC0GmOWpA1Jvvy9E/gx8BpwU5nC7wGOBL4ZEeemm2+TtAY4T9KFEfGApIfSfQ8XNIuZleSah3W6vxR80BMRy4BlwHAASV3A7sBNvYkjLfcHYGHRsQ4E/gA8JmnD3h+SDu7NgVEFZU8DHiGpqewAHBkRK2uM+SjgVWAVMA/YFjg8IsrVEvZNb68t2t57f78aH9dsLdc8rNM9W2LbKmDj9PctgAHAUyXKFW/bkqTf4dUyj7V57y8RsUrSf5PUbm6JiIfK/E0pvyIZZbUGWBIRpWIrtFl6u7Ro+9+K9pvVzMnDrLKnSZLBViX2bQU8XnD/GZJayylljrW2iUvSu4GzgR5grKSxEXFLjTE9GxE9NZaF1xPk1sBfC7Zvnd4+U8exzAA3W5lVFBFrSEYzHSZp7ftF0p4k10UU+jXwLuCJiOgp8fNi+rcbA9eR9KPsA0wGrpS0bYuexqz09oii7Uent3emt6vS20EtisP6Edc8zKr7BnAbMEXSj4GhJJ3ofysq933gUyQX7H2fpKYxmCShfDAixqblLiIZ5bVbRLwi6XPA/cBPJX2ksG+lGSLiQUnXAeemfTB3k4ykOhu4LiIeSIs+AqwG/kXSsyTJZH5v0jMr5JqHWRURMYPkW/qOJLWEU4Evse5IKyLieeD9wDSSYbDTSUZSjSW9hkLSR4GTgVMiYn76d8+SXOA3Oj12KxwHfBv4lzS+z6T3jyuI/5k0tveS1FZmA//UoniszcnL0JqZWb1c8zAzs7o5eZiZWd2cPMzMrG5OHjkgaQdJKyUVXwFsZpZLHdNhvsUWW8SIESOyDqOkRx55hIhg4MCBjBw5svofmJn1gTlz5jwdEUNL7euY6zxGjBhBT089F+X2jeuvv57JkyczatQoFixYwLXXuvJhZvkg6fFy+9xslaEXXniBc845h+9973tZh2JmVhcnjwydffbZfOYzn2H77bfPOhQzs7p0TLNV3sydO5cZM2Zw3333ZR2KmVndnDwyMnPmTBYuXMjw4cMBeOmll1izZg0PPfQQ997rxdvMLN86ZrRVd3d35KnD/OWXX+aFF15Ye/+73/0uCxcu5PLLL2fo0JKDG8zM+pSkORHRXWqfax4Z2WSTTbht/t+5aPp8ljy3gtVzl/P2ga85cZhZW3DyyMiU+xZz5uR5rHh1DQBd3Z9k2YAupty3mHG7Dss4OjOzyjzaKiMXTZ+/NnH0WvHqGi6aPr/MX5iZ5YeTR0aWPLeiru1mZnni5JGRbYeUXumz3HYzszxx8sjIqWN2ZNCArnW2DRrQxaljdswoIjOz2rnDPCO9neK9o622HTKIU8fs6M5yM2sLTh4ZGrfrMCcLM2tLbrYyM7O6OXmYradLL72U7u5uNtpoI44//vh19t1www3stNNObLrppowaNYopU6ZkE6RZi7jZymw9bbvttnz9619n+vTprFjx+hDrxYsXc8wxx3DLLbdw4IEHMm3aNA4//HAWLlzIlltumWHEZs2Tu5qHpKskLZP0pzL7JemHkhZIekDSbn0doxnA+PHjGTduHJtvvvk62xctWsSQIUM46KCDkMQhhxzC4MGD+etf/5pRpGbNl7vkAVwNHFhh/0HADunPBODyPojJrGbd3d3stNNOTJ06lTVr1jBlyhQ22mgjdtlll6xDM2ua3DVbRcSdkkZUKDIWmBTJdMD3SBoiaZuIWNonAZpV0dXVxbHHHstRRx3FypUrGThwIDfeeCODBw/OOjSzpsljzaOaYcCTBfcXpdveQNIEST2SepYvX94nwZnNmDGD0047jZkzZ/LKK68wa9YsPvvZzzJ37tysQzNrmnZMHiqxreSiJBExMSK6I6LbU51bX5k7dy777rsv3d3dbLDBBuy+++7sueeezJgxI+vQzJqmHZPHIqBw0e/tgCUZxWIdbPXq1axcuZI1a9awZs0aVq5cyerVq9l9992566671tY07rvvPu666y73eVi/0o7JYypwbDrqai/gefd3WBaOOek0Bg0axIUXXsi1117LoEGDOP/889lvv/0499xzOeyww9h00035xCc+wVlnncUBBxyQdchmTZO7ZWglXQeMBrYAngK+AQwAiIgrJAm4lGRE1svACRFRdX3ZvC1Da+2teDEvSCa2vGD8zp5yxvqNtlqGNiKOrLI/gJP6KByzkiot5uXkYZ2gHZutzDLnxbys0zl5mK0HL+Zlnc7Jw2w9eDEv63S56/MwawdezMs6nZOH2XryYl7WydxsZWZmdXPyMDOzujl5mJlZ3Zw8zMysbk4eZmZWNycPMzOrm5OHmZnVzcnDzMzq5uRhZmZ1c/IwM7O61ZQ8JF0laWSZfW+TdFVzwzIzszyrteZxPDC0zL4tgOOaEo2ZmbWFepqtyq1XuzXgFXDMzDpI2Vl1JR0KHFqw6ZuSni4qNgj4IDCnBbGZmVlOVZqSfThJYoCk1vE+YFVRmVXA3cCZzQ/NzMzyqmzyiIhLgEsAJD0GjIuI+/sqMDMzy6+a+jwiYmRfJQ5JB0qaL2mBpDNK7H+LpP+RdL+kByWd0BdxmZnZ62odqju28EM6HZ77v5JelHSTpDc1IxhJXcBlwEHAKOBISaOKip0EPBQR7wVGA9+TNLAZj29mZrWpdbTV11l3qO7FwHbARGBf4NwmxbMHsCAiHo2IV4DrgbFFZQLYVJKANwHPAqub9PhmZlaDWpPHO4AHACQNAg4GvhIRXwXOYt1RWY0YBjxZcH9Ruq3QpcBOwBJgHnBKRLxW6mCSJkjqkdSzfPnyJoVoZma1Jo+Nef1ajveTdLTflt6fD2zbpHhUYlvx9SVjgLnpY74PuFTSm0sdLCImRkR3RHQPHVruGkczM6tXrcljIfCB9PexwJyIeD69vyXwfKk/Wg+LgO0L7m9HUsModAIwORILgMeAdzXp8c3MrAa1Jo8fA+dK6gE+D1xZsG9v4KEmxTMb2EHSyLQT/AhgalGZJ4APAUjaCtgReLRJj29mZjWodJHgWhFxSXp1+V7ADyNiUsHuTYGrmxFMRKyWdDIwHegCroqIByWdmO6/AjgPuFrSPJJmrtMjovjKdzMzayFFlJuyqn/p7u6Onp6erMMwM2sbkuZERHepfTXVPIoOtiVJB/o6IuKJ9YjNzMzaUE3JIx3NdAnwKWCjMsW6mhWUmZnlW601j8uAT5B0lM/jjRMkmplZB6k1eYwBTo2Iy1oZjJmZtYdah+qK5GJAMzOzmpPH9cDHWhmImZm1j1qbrW4DfiBpU2AayWSE64iIO5oZmJmZ5VetyeOW9HYkcHzB9iBp0go82srMrGPUmjz2b2kUZmbWVmqdnmRWqwMxM7P2UdcV5pI2I5kIcTPgGeCeiHhD/4eZmfVvNScPSecDXwUG8vq6G6skfTcizm5FcGZmlk+1Tk/yJZIVA68ErgX+BmwNHAOcJWl5RPywZVGamVmu1FrzOBG4JCK+XLBtPjBL0kska3w4eZiZdYhaLxIcAdxaZt+t6X4zM+sQtSaPZ4D3lNn37nS/mZl1iFqTxy+A8yR9WtIAAEkbSjoS+BZwc6sCNDOz/Kk1eZwJzAWuAV6W9BSwAvgZcD9JZ7qZmXWIWi8SfFHSvsAhwAdJrvN4FpgF/Co6ZS1bMzMD6rjOI00Qv0x/zMysg9XUbCXpo5JOLrPvJEkHNysgSQdKmi9pgaQzypQZLWmupAcleeoUM7M+Vmufx9nA4DL7BqX7Gyapi2TJ24OAUcCRkkYVlRkC/Aj4eES8Gzi8GY9tZma1qzV5vAu4t8y+ucBOzQmHPYAFEfFoRLxCsgjV2KIyRwGTI+IJgIhY1qTHNjOzGtWaPDYA3lRm36bAgOaEwzDgyYL7i9Jthd4JvFXSTElzJB1b7mCSJkjqkdSzfPnyJoVoZma1Jo/7gaPL7DsaeKA54aydcLFQ8UiuDYF/Ihn5NQY4W9I7Sx0sIiZGRHdEdA8dOrRJIZqZWa2jrb4H3CzpRuA/eb1GMAE4lOb1OywCti+4vx2wpESZpyPiH8A/JN0JvBd4pEkxmJlZFTXVPCLiF8ApJN/0fwXMA6an978YEZObFM9sYAdJIyUNBI4AphaVuQX4YHqF+ybAnsDDTXp8MzOrQT3XefyHpKuB9wObA08Dd0fES80KJiJWp0OCp5OsiX5VRDwo6cR0/xUR8bCkX5M0lb0G/CQi/tSsGMzMrDp1ysXh3d3d0dPTk3UYZmZtQ9KciOguta/WDnMzM7O1nDzMzKxuTh5mZlY3Jw8zM6tb1eQhaaCk70vavS8CMjOz/KuaPNI5pv4vyQSIZmZmNTdb3Qfs3MpAzMysfdSaPL4K/L90XY9S80+ZmVkHqfUK8xuBt5BMDbJa0jLWnbAwIuJtzQ7OzMzyqdbkcTtvnN3WzMw6VE3JIyKOb3EcZmbWRnydh5mZ1a3m5CFpZ0k3SVouabWkZZJukORRWGZmHaamZqv0AsFZwAqS9TX+BmwNfAw4RNK+ETGnZVGamVmu1NphfgHwJ+BDEfFi70ZJmwIz0v0HND88MzPLo1qbrfYCLihMHADp/W8Dezc7MDMzy69ak0e1Yboexmtm1kFqTR5/AM5Km6nWkjQYOB24p9mBmZlZftXa53EWMBN4XNIvgaUkHeaHkEyYOLoVwZmZWT7VepHgHyXtBZwDjAE2A54F7gDOi4h5rQvRzMzypmzykPRF4PqIWCZpOPBwRBzWd6GZmVleVerz+D4wIv39MWDXlkcDSDpQ0nxJCySdUaHc7pLWSHJCMzPrY5WSx3Mk/RoAog9GVEnqAi4DDgJGAUdKGlWm3LeB6a2OyczM3qhSn8fvgWsk3Z/ev1zSC2XKRkR8qAnx7AEsiIhHASRdD4wFHioq9wXgZsBL45qZZaBSzeNzwHXAayS1jg2BAWV+BjYpnmHAkwX3F6Xb1pI0DDgUuKLawSRNkNQjqWf58uVNCtHMzMrWPCLiKeDzAJJeAyZExB9bHE+pVQqLm8t+AJweEWuqLWoYEROBiQDd3d2+kNHMrElqvc5jJLCklYGkFgHbF9zfrsTjdgPXp4ljC+BgSasjYkofxGdmZtR+ncfjrQ4kNRvYQdJIYDFwBHBUUSwje3+XdDXwSycOM7O+VWvNo09ExGpJJ5OMouoCroqIByWdmO6v2s9hZmatl6vkARAR04BpRdtKJg0vj2tmlg0vQ2tmZnVrSvKQtEkzjmNmZu2hoeQhabSk/yJZltbMzDpE3X0eknYAjgU+TTKsdhUwuclxmZlZjtWUPCS9hWTY7HHAnrw+19W3gW9HxPMti9DMzHKnbLOVpA0kHSLpBpLFny4nqWl8B9iHJIH82onDzKzzVKp5LAa2BF4mmYRwEjAjIiKtiZiZWYeqlDy2Sm//CEwBZkaE54cyM7OKo60+CPwE2A24AfibpB+ly9GamVkHK5s8IuL3ETEB2AY4hmTeqc+RrPMxl6TD/K19EaSZmeVL1es8ImJlRFwXEQcCw4EzgZdIOsxvljRD0lEVD2JmZv1KpdFWV6Wz264VEUsj4jsRsTPJKn6XA7sAP21tmGZmlieVah7HA0PL7YyIORHxBWBb4BNNjsvMzHKs4Vl1I2I1yWgsMzPrEJ5V18zM6lat5vExSe+p5UARcVUT4jEzA2DKfYu5aPp8ljy3gm2HDOLUMTsybtdhWYdlqWrJ42s1HicAJw8za4op9y3mzMnzWPHqGgAWP7eCMyfPA3ACyYlqyeNQkms6zMz6zEXT569NHL1WvLqGi6bPd/LIiWrJY2lEPN4nkZiZpZY8t6Ku7db33GFuZrmz7ZBBdW23vufkYWa5c+qYHRk0oGudbYMGdHHqmB0zisiKVUoe+wMP9VUgvSQdKGm+pAWSziix/2hJD6Q/d0t6b1/HaGatNW7XYVwwfmeGDRmEgGFDBnHB+J3d35Ejlfo8xgKPksxjBYCk8cDthQtASXon8N2I+HijwUjqAi4DPgIsAmZLmhoRhUnsMWC/iPi7pIOAiSSrG5pZPzJu12FOFjlWqeZxCsmMusDaD/YbgXcUlXsrcEiT4tkDWBARj0bEK8D1JElsrYi4OyL+nt69B9iuSY9tZmY1qpQ8VOO2ZhoGPFlwf1G6rZzPAL8qt1PSBEk9knqWL1/epBDNzCxvHealklPJ1Qsl7U+SPE4vd7CImBgR3RHRPXRo2TkezcysTg1PjNhki4DtC+5vBywpLiRpF5JVDg+KiGf6KDYzM0tVq3mU+tbfynXMZwM7SBopaSBwBDC1sICk4cBk4NMR8UgLYzEzszKq1TwmSnqxaNuVkl4quL9ps4KJiNWSTgamA13AVRHxoKQT0/1XAOcAmwM/kgSwOiK6mxWDmZlVp4jSFQlJM6mjlhER+zcpppbo7u6Onp6erMMwM2sbkuaU+3JetuYREaNbFpGZmbW1vI22MjOzNrBeo60kjQF2AZYDkyPihaZGZWZmuVY2eaSjnS4CPgkMILna+yvATcBHC4p+U9LeEfGGIbVmZlnxSoStVanZ6jTg88AM4AbgmPR2d5KE8m7gKGAj4OutDdPMrHa9KxEufm4FwesrEU65b3HWofUblZqtjgbOi4hvAUiaRnLNxYkRcVNa5mFJW5DMg2VmlgteibD1KtU83gbcWXB/Vno7r6jc/ax7VbiZWaa8EmHrVUoeGwMvF9zv/X1VUblXSPpEzMxywSsRtl7epicxM2uYVyJsvVxNT2Jm1gy9/RoebdU6lZLHnbyxljGrRLnnWLdvxMwsc16JsLU8PYmZmdXN05OYmVndyiYPSZMkjSza9nZJHlllZtbhKtU8jgHWrt0qqQv4C7Bzq4MyM7N8q7fZqtQa42Zm1mHytoa5mZk1QasnhnTyMDPrZ3onhuyd36t3YkigaQmkWvKYIKl3+nWRXPfxr5KWFpWLiPhGUyIyM7OG9MXEkNWSx7+U2PaZEtsCcPIwM8uBvpgYsmyHeURsUMdPV7nj1EvSgZLmS1og6YwS+yXph+n+ByTt1qzHNrPOMeW+xexz4R2MPONW9rnwjn611kdfTAyZqz6PdDjwZcBHgEXAbElTI+KhgmIHATukP3sCl6e3VqTVHWbVjt/uK7m1e/xWXl/0CWTp1DE7rvP8oPkTQ9aUPCRtDHQD25A0US0F5kTEyqZFktgDWBARj6aPez0wFihMHmOBSRERwD2ShkjaJiKK+2FaLs8fLq1+c1Q7fru/Ods9fqusvy8W1RcTQ1ZMHpI2Ar4DfI5kudne6zwCWCnpcuCsiHilSfEMA54suL+IN9YqSpUZRpLQ1iFpAjABYPjw4XUHUyk55P3DpRlvjkrPv9rx2+HN2cjzyzo+a0wnLBbV6okhyyYPSQJ+CfwzcAswDXiCJIFsD3wU+DIwCji4SfGUugixeGbfWsokGyMmAhMBuru761qHpFpyyMOHSyWNvjmqPf9qx8/7m7PR55d1fNZYct12yCAWl/hferGo2lW6wvwwYH/gsIgYHxE/iYjbImJ6+vs44HDgAEnjmxTPItZd0nY7YMl6lGlYpeQA+f9wbLTDrNrzr3b8vK/k1ujza4ZKHbbV4msHreyQ7k2ui59bQfB6cq31MbxYVOMqJY8jgRsi4hflCkTEZOBG4OgmxTMb2EHSSEkDgSOAqUVlpgLHpqOu9gKeb0V/R7XkkPcPx0bfHNWef7Xj5/3N2ejza1S1D788fDmp9uFfaX+jH+7VNJpcx+06jAvG78ywIYMQMGzIIC4Yv3PTB5T019FcULnPY1fg6zUc45fA+c0IJiJWSzoZmA50AVdFxIOSTkz3X0HSfHYwsIBkXfUTmvHYxapVa/tiNEMjGu0wq/b8qx2/LzrsWtls0er4qzV7Zt2s0uiAiFY36zYjuTbaJ9DOfaLNUCl5DCXp46jmCWDL5oQDETGNJEEUbrui4PcATmrW45VTLTnU8uGSdYdnI2+OWpJjteO3ssOu0TdnM55fI2qp+WT55aTRARGtrjnlPbnmvU+0GSolj02AVTUc4xVg4+aEkx+1JIdKHy7t/s0j72tAN/rmzPr5ZV3zqabRARGt/nDPe3LNQ7Njq1W7zmOYpLdXKbNds4LJm0a+efaHbx55XgM6D80Wjci65lNNtQ//rJt1855cs64Z9YVqyeOmGo7RO2GiFeiEbx5Zavc3Z9YfftVU+/BvRrNuo/KcXLOuGfWFSsmjJR3RnaLdP9zyrj+8OfNcs2vGgIg8P79G5SF5Zk1J/3P/193dHT09PX32eMV9HpC8uOoZDph1h3ve+fxYlhp9/bXD61fSnIjoLrnPyaN1Gnlx1JJ82uHF14hOeHNafrXy9dOML5d9wcmDbJJHI/a58I6SzV7Dhgzi92f8c9u8+NZXo8+vv58fa61Wv36qvb/zolLyqHSFuWWoWod7f5i+opJGn19/Pz/WWq1+/fSHATVOHjlVbfqT/vDiq6TR59ffz4+1Vl9c5FjP9jxy8sipanMr9YcXX6W5fxp9fv3h/Fh2Wv36yfvcb7Vw8sipahO3tfuLr9rEeY0+v3Y/P32hv0/c14hWv376YmLGVnOHeRtr59FEtXQYerRV63hAQXV+/Xi0FdA/k0c7G3nGrSWnJRDw2IWH9HU4HaddRvtYeX2R3Colj5rWMLf+KctvVr4Cv3GN/P/yMKDA3+wry/uU7+7z6FCtXqynGvdJNKbR/1/WAwqyfv3lXbXzk4eh6E4eHSrrF19/6DDMUqP/v6yTd9avv7xrh2Ww3WzVofLw4uvPE+e1WqP/v6wn7svD6y/P2mHKdyePDpWHF5+tv2b8//I8pXmna4cp391s1aGybrawxrT7/6/d42+1aucnD82+rnl0qKybLawx7f7/a/f4W60d1kvxdR5mZlZSW1znIWkz4L+BEcBC4JMR8feiMtsDk4CtgdeAiRFxSd9GatYefB2FtVKe+jzOAG6PiB2A29P7xVYDX42InYC9gJMkjerDGM3agq+jsFbLU/IYC1yT/n4NMK64QEQsjYh7099fBB4G/FXKrIivo7BWy1Py2CoilkKSJIAtKxWWNALYFfhDhTITJPVI6lm+fHkTQzXLN19HYa3Wp30ekmaQ9FcU+1qdx3kTcDPwpYh4oVy5iJgITISkw7yexzBrZ76OwlqtT5NHRHy43D5JT0naJiKWStoGWFam3ACSxPGziJjcolDN2loeLiKz/i1PzVZTgePS348DbikuIEnAlcDDEXFxH8Zm1lbycBGZ9W+5uc5D0ubADcBw4Ang8Ih4VtK2wE8i4mBJHwDuAuaRDNUFOCsiplU7vq/zMDOrT1tc5xERzwAfKrF9CXBw+vvvSNYLMjOzDOUmeZj1N75Iz/ozJw+zFsjDSm9mrZSnDnOzfsMX6Vl/5+Rh1gK+SM/6OycPsxbIeo1ws1Zz8jBrAS92ZP2dO8zNWsCLHVl/5+Rh1iJZr/Rm1kputjIzs7o5eZiZWd2cPMzMrG5OHmZmVjcnDzMzq1tupmRvNUnLgcfX88+3AJ5uYjjN5vga4/ga4/gak+f43hYRQ0vt6Jjk0QhJPeXmtM8Dx9cYx9cYx9eYvMdXjputzMysbk4eZmZWNyeP2kzMOoAqHF9jHF9jHF9j8h5fSe7zMDOzurnmYWZmdXPyMDOzujl5VCDpQEnzJS2QdEbW8RSTtFDSPElzJfVkHQ+ApKskLZP0p4Jtm0n6jaS/pLdvzVl850panJ7HuZIOzii27SX9VtLDkh6UdEq6PRfnr0J8eTl/G0v6o6T70/i+mW7Py/krF18uzl+93OdRhqQu4BHgI8AiYDZwZEQ8lGlgBSQtBLojIjcXGEnaF3gJmBQR70m3fQd4NiIuTJPwWyPi9BzFdy7wUkR8N4uYCmLbBtgmIu6VtCkwBxgHHE8Ozl+F+D5JPs6fgMER8ZKkAcDvgFOA8eTj/JWL70BycP7q5ZpHeXsACyLi0Yh4BbgeGJtxTLkXEXcCzxZtHgtck/5+DckHTibKxJcLEbE0Iu5Nf38ReBgYRk7OX4X4ciESL6V3B6Q/QX7OX7n42pKTR3nDgCcL7i8iR2+UVAC3SZojaULWwVSwVUQsheQDCNgy43hKOVnSA2mzVmbNar0kjQB2Bf5ADs9fUXyQk/MnqUvSXGAZ8JuIyNX5KxMf5OT81cPJozyV2Ja3bwn7RMRuwEHASWmTjNXvcuAdwPuApcD3sgxG0puAm4EvRcQLWcZSSon4cnP+ImJNRLwP2A7YQ9J7soqllDLx5eb81cPJo7xFwM61VlQAAAbHSURBVPYF97cDlmQUS0kRsSS9XQb8gqSpLY+eStvLe9vNl2Uczzoi4qn0Tf0a8J9keB7TtvCbgZ9FxOR0c27OX6n48nT+ekXEc8BMkv6E3Jy/XoXx5fH81cLJo7zZwA6SRkoaCBwBTM04prUkDU47LZE0GDgA+FPlv8rMVOC49PfjgFsyjOUNej9YUoeS0XlMO1SvBB6OiIsLduXi/JWLL0fnb6ikIenvg4APA38mP+evZHx5OX/18mirCtIhcz8AuoCrIuLfMg5pLUlvJ6ltAGwI/DwP8Um6DhhNMs30U8A3gCnADcBw4Ang8IjIpNO6THyjSZoMAlgI/N/eNvI+ju0DwF3APOC1dPNZJP0KmZ+/CvEdST7O3y4kHeJdJF+Mb4iIb0nanHycv3Lx/ZQcnL96OXmYmVnd3GxlZmZ1c/IwM7O6OXmYmVndnDzMzKxuTh5mZlY3Jw/rVyQdIOlXkp6RtFLSI5K+XTzlg6SQdH5WcbaKpHGSvlJi++j0OY/OICzrh5w8rN+QdBYwHVgJfBYYA1xBMivtbEnbl//rfmMc8IbkAdwL7J3emjVsw6wDMGsGSfsD5wM/iIgvF+yaJekXJNOHTwL2zyK+UiRtFBGr+uKx0jmo7umLx7LO4JqH9RenkUy1fmbxjoh4DLgQGC1pz4JdkvQ1SYskrZB0p6T3sW6BMZLulvS8pJeULA52TlGZ90qaKunv6XF+L+mDRWWuTh9n7/R4K4DvSJomaU5xzJK2kbRa0pfS+0Ml/ThthntZ0pOSfi5pWOFjkEy/MSxtogola76UbLZS4svpc3pF0lJJl0p6c1EsIel8SV+U9JikFyXNkvTuCv8P6+ecPKztSdoQ2I9kiuuVZYr1zkv2zwXbjgUOBk4madraCrhd0mbpcd+e/t1jwKeAjwMXA4MLHns34G5gM+BzwCeAZ4AZkv6pKIa3kKwLcx3JTMg/J6kN7SZpVFHZo9Lb69LbzUia484kmezvVGAH4PeSNk7LnAdMA5aTNFHtTTJXUjn/lj6f3wAfA76TnodbJRV/NhwDHEKyeNEJJFN93JKee+tEEeEf/7T1D8mHfgAXVCizcVrmR+n9AJ4mWdmtt8wI4FXgvPT+YWm5N1c47u0kiyINLNjWlW6bUrDt6vRYY4v+fhDwfHHswFxgWoXH7SKZ9TmAQ4seZ1GJ8qPTsqPT+73J6Oqicsek5T5esC2AvwADCrb1npv3Z/3/9082P655WH9Qau2VWkyLiH/03omIhST9Anunm+aSJJPrJR0maZ1FhNKZUfcDbgRek7Rh+k1cwAygeH2V1cAvCzdExAqSKc6PTmetRdLOwHtJaiWFj/evSta/fik91hPprh3X47nvBWwEXFu0/fr02PsVbf9NRLxacH9eejt8PR7b+gEnD+sPngZWkNQcyundV7g65FMlyj1FumJkRCwgGbG1AfBT4G+S/iCp94N1M5IawNkkSabw52TgrUXNP8siYk2Jx5xEUosYnd7/NPAiBVOHS/oC8COSpDSeZM2HvdLdvc1W9dgsvV1n9taIWE3S7LZZUfniWWh7O/rX57GtH3B7pbW9iFgt6U7gI5I2jtL9Hh9Pb+8o2LZViXJbAYsLjv1b4LeSNgL2Ab5F0icwAniOZGryyyiqJRT8/WuFd8s8hVkktYhjJM0imeL8prRW0usI4PaI+GrvBkkjyxyvFr3JYGvgwYJjbghsTpJAzMpyzcP6i4tIPvT+vXhH+iF7OnBnvL5mNMDBShbS6i03guTb/P8WHyMiVkXEHSSdyoOBkWmT110kTUz3RkRP8U8tgUdEAD8j6Uc4mGTVyuJktAlJjabQCSUOt4qkH6Wae9KyRxRt/xTJl8pZNRzDOphrHtYvRMTt6RDab6VJYBLwd2A34AySTulPF/3ZCuA2SReRtP9/E3gB+D6ApBNJ+i2mkTR3bUEy2mkJr6/29hXgTmC6pCtJmoG2SB+3KyLOqPEpTEqPfUX6WMUf3r8GTk8vhPwjyaixw0oc5yFgM0n/CvQAKyNiXnGhiHhW0sXAmZL+kT7HnUiulfkdcGuNcVuHcvKwfiMizpM0G/gy8F8k39afIPlgviDeuHrcJOAfwKUkH/izgSMKyt1PMqT2AmBLkqae3wFH9zYpRcS9knYnWZHwhyTDcZeTXMl9RR2x/1lSD9CdxlrcxPUtYEj63DYmSS5jgEeLyv2EpPb072n5xynfF/S1NNYTgc+TNFVNAs4sam4zewOvJGhmZnVzn4eZmdXNycPMzOrm5GFmZnVz8jAzs7o5eZiZWd2cPMzMrG5OHmZmVjcnDzMzq9v/B8GxmQBAV4WnAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "infl.plot_index(y_var='dfbeta', idx=0, threshold=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "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": "3.8.4rc1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
