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@pgolding
Last active February 14, 2019 20:58
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{
"cells": [
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "import warnings\nwarnings.filterwarnings('ignore')\n\n%load_ext autoreload\n%autoreload 2\n\nimport pandas as pd\nimport numpy as np\nfrom sklearn import preprocessing\nimport matplotlib.pyplot as plt \nfrom re import sub\nfrom decimal import Decimal # We will use decimal for money and rate values\n\nplt.rc(\"font\", size=14)\nfrom sklearn.linear_model import LogisticRegression\nfrom sklearn.metrics import classification_report\nfrom sklearn.metrics import confusion_matrix\nfrom sklearn.metrics import log_loss\n\n#from sklearn.cross_validation import train_test_split\nfrom sklearn.model_selection import train_test_split\nfrom sklearn import metrics\nfrom utils import utils\n\nimport seaborn as sns\nsns.set(style=\"white\")\nsns.set(style=\"whitegrid\", color_codes=True)",
"execution_count": 1,
"outputs": []
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "data = pd.read_csv(\"flattened.csv\")",
"execution_count": 2,
"outputs": []
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "data.head(1)",
"execution_count": 3,
"outputs": [
{
"execution_count": 3,
"metadata": {},
"output_type": "execute_result",
"data": {
"text/plain": " FICO Amount Previous Rate Competition rate Cost of Funds Rate y \\\n0 702.0 26500.0 3.99 4.99 1.1 6.59 0.0 \n\n ln_amt ln_FICO Tier_1.0 ... day_23 day_24 day_25 day_26 \\\n0 10.1849 6.553933 0 ... 0 0 0 0 \n\n day_27 day_28 day_29 day_30 day_31 year_2005 \n0 0 0 0 0 0 1 \n\n[1 rows x 75 columns]",
"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>FICO</th>\n <th>Amount</th>\n <th>Previous Rate</th>\n <th>Competition rate</th>\n <th>Cost of Funds</th>\n <th>Rate</th>\n <th>y</th>\n <th>ln_amt</th>\n <th>ln_FICO</th>\n <th>Tier_1.0</th>\n <th>...</th>\n <th>day_23</th>\n <th>day_24</th>\n <th>day_25</th>\n <th>day_26</th>\n <th>day_27</th>\n <th>day_28</th>\n <th>day_29</th>\n <th>day_30</th>\n <th>day_31</th>\n <th>year_2005</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>702.0</td>\n <td>26500.0</td>\n <td>3.99</td>\n <td>4.99</td>\n <td>1.1</td>\n <td>6.59</td>\n <td>0.0</td>\n <td>10.1849</td>\n <td>6.553933</td>\n <td>0</td>\n <td>...</td>\n <td>0</td>\n <td>0</td>\n <td>0</td>\n <td>0</td>\n <td>0</td>\n <td>0</td>\n <td>0</td>\n <td>0</td>\n <td>0</td>\n <td>1</td>\n </tr>\n </tbody>\n</table>\n<p>1 rows × 75 columns</p>\n</div>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true
},
"cell_type": "markdown",
"source": "# Reproducing Examples from Book"
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "model1_vars = [\"Rate\"]",
"execution_count": 4,
"outputs": []
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "logreg = LogisticRegression()",
"execution_count": 5,
"outputs": []
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "y_pred, conf_matrix, log_loss, coef, logreg = utils.run_model(data,model1_vars,logreg)\ncoef",
"execution_count": 6,
"outputs": [
{
"name": "stdout",
"text": " precision recall f1-score support\n\n 0.0 0.76 1.00 0.86 7612\n 1.0 0.00 0.00 0.00 2387\n\n micro avg 0.76 0.76 0.76 9999\n macro avg 0.38 0.50 0.43 9999\nweighted avg 0.58 0.76 0.66 9999\n\n",
"output_type": "stream"
},
{
"name": "stderr",
"text": "/Users/paulg/anaconda/envs/pricing/lib/python3.5/site-packages/sklearn/metrics/classification.py:1143: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples.\n 'precision', 'predicted', average, warn_for)\n/Users/paulg/anaconda/envs/pricing/lib/python3.5/site-packages/sklearn/metrics/classification.py:1143: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples.\n 'precision', 'predicted', average, warn_for)\n/Users/paulg/anaconda/envs/pricing/lib/python3.5/site-packages/sklearn/metrics/classification.py:1143: UndefinedMetricWarning: Precision and F-score are ill-defined and being set to 0.0 in labels with no predicted samples.\n 'precision', 'predicted', average, warn_for)\n",
"output_type": "stream"
},
{
"execution_count": 6,
"metadata": {},
"output_type": "execute_result",
"data": {
"text/plain": "{'Rate': -0.17319181090504437, 'intercept': 0.05929121871819316}"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "#pd.crosstab(data.Rate,data.y)\nloans_taken = data[data.y==1]\n# plt.plot(data.Rate,data.y==1,kind='scatter')\n# plt.title('Purchase Frequency for FICO')\n# plt.xlabel('Rate')\n# plt.ylabel('Frequency of Purchase')\n# plt.savefig('purchase_rate')\n#ax1 = sns.distplot(loans_taken.Rate)\nsns.set(style=\"darkgrid\")\ng = sns.jointplot(\"Rate\", \"FICO\", data=loans_taken, kind=\"reg\",\n xlim=(0, 15), ylim=(600, 850), color=\"m\", height=7)",
"execution_count": 7,
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"data": {
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\n",
"text/plain": "<matplotlib.figure.Figure at 0x11e8bfd30>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "sns.distplot(data['FICO'])",
"execution_count": 8,
"outputs": [
{
"execution_count": 8,
"metadata": {},
"output_type": "execute_result",
"data": {
"text/plain": "<matplotlib.axes._subplots.AxesSubplot at 0x12295a550>"
}
},
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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nGD4gguEDItQORxU3jDISEqTnte1H5dkI4bUkQYir7uA31ZhrmpkxcYDr0suFf33ls9IQGEDGzOF8U17Hzn1laocjhEdyiUlcdR/sKSUiJBC7w0lhsfscIWrNKa2GpEQTRUcqeHPncSYMj6F/ZDB2J1ht7oX9DHodOvkqJ1QgbztxVZ2tauTgN9VMnxhPgFbT+Q5+TKPR8P/mJKIB/vpeMU5FwWqzt6tce2nCEOJqkQQhrqoP95xBF6Dh5vHxaofiFfr3C+ah20dytPQ8HxRJGQ7hXSRBiKumqcXG7gPnuGlMrM9NI9qbpk+IZ+I1Mbz1yXHKKxvVDkcIF0kQ4qr5bP9ZrDYHdyT5/9DWrrjwfERTq4P7bx9JUGAAr75XjM3u/ZMhib5BEoS4KpzOtqGtowb2kzkRvvXdmfKOnq7hpmtjMVc3UVhcoXZoQgBdTBDbtm0jLS2N2bNns2nTpnbri4uLycjIICUlhWXLlmG3t91UKy8vZ8GCBaSmprJo0SIaG9tOnxsaGviP//gP5s2bx7x58zh06FAPdkl4o30llVTWtsjZw/cY0D+U2ycPoqSsluNltWqHI0TnCcJsNrN27Vo2b95MdnY2W7ZsoaSkxG2bJUuWsGLFCrZv346iKGRlZQGwatUq5s+fT15eHuPGjWPdunUArF69mvj4eLKzs/n5z3/Ob37zm57vmfAqHxSVEhNh4LpR/dUOxavNvmkwsVHBfH7ITFVti9rhiD6u0wSRn5/PlClTiIyMJCQkhJSUFPLy8lzry8rKaGlpYdKkSQBkZGSQl5eHzWajsLCQlJQUt3ZFUdixYwePPfYYAMnJyTz99NO90TfhJUorGjhy+jy3XT+QAK1c1fw+AVoNyZMGEBQYwMdfltFslSGuQj2d/rVWVFRgNF58eMlkMmE2mztcbzQaMZvN1NTUEBYWhk6nc2uvqqoiMDCQzZs388ADD5CZmYnDIVUt/dkHRaUE6rTMmDhA7VB8QrBBxy3XJ2BtdbDzyzK5aS1U0+mT1E6nE43m4gNNiqK4LXe0/tLtoO3BIIfDQWVlJeHh4WzZsoXdu3fzb//2b3z44YddDjomJqzL2/YWo9H/brT2Rp9qG6x8cdjMbZMHM2xwtKtdqW4iPCyo3fZ6va5de1fbfGn/zrYNDwvijhth++en+NuOY6z41yntHiwMCjXQ3OJ+hhEcpCPch+fW8Me/K/DdfnWaIOLi4igqKnItWywWTCaT23qL5WKlysrKSkwmE9HR0dTX1+NwOAgICHDtFxUVhU6nY+7cuQDcfPPNNDU1UVVVRUxMTJeCrqpqULXAmdEYjsVSr9rr94be6tO7+SdptTu5eWys2+9vstqpb2h/jd1ma9/e1TZP7eFhQVe0/5W+/pVsGxsZxOREE4VHKnhu8x4enj3K9aXLaAynqrqxXamSyWNiaWn0zSlN/fHvCryjX1qt5rK+WHd6iWnatGkUFBRQXV1Nc3MzO3bsIDk52bU+ISEBg8HAnj17AMjJySE5ORm9Xk9SUhK5ubkAZGdnk5ycTGBgINOmTeO9994DYN++fQQHBxMVFdXt4IV3a7U5+KColHHDoknoH6p2OD5pzNAo7kgaxM4vy3jrk29QlD5SzVB4hU7PIGJjY1m8eDGZmZnYbDbuvfdeJkyYwMKFC3niiScYP348a9asYfny5TQ0NDB27FgyMzMBWLlyJUuXLmX9+vXEx8fz7LPPAvC73/2OFStWsHnzZnQ6HWvXrkUrNy/9zmf7z1LXZGPOlKE0XnKzta9Ube0Jd00fis3uIPfzU2i18C8zhqsdkugjulTNNT09nfT0dLe2DRs2uH5OTExk69at7fZLSEhg48aN7dpNJhMvvfRSd2MVPsTucPKPL04xcmA/BseF9emqrVdKo9HwcMpoFEXh3fxTaDUaFmZMVDss0QdIuW/RKwoOnaO6zkpmSqLaofgFrUZDZmoiTgXe2X2SsFADU8fGqh2W8HOSIESPczoVcj8/zeDYMMYPj6apVYYx9wTtt+XBFUVh846j1Da0EBPRfnSUED1FLvyLHldw6Bzm6ibSpw1tN9RZXBmtRsMP54zhtqRBvJd/igPHq9QOSfgxOYMQPcrucJKz6wRD4sK5Xu4z9AqtVsMTD1xHfYOVwiMVaDQwbnjXhogL0R2SIESP2rmvnMraFu67bYTr0pKMWOp5AVoNP0gZTWVtM3uPVaLVarh2aHTnOwrRDZIgRI9ptTl4L/8kpqhgGppaXSOXZMRS79Bq22bmczgVio5YCA3SM3mM3LgWPUfuQYge835RKbWNrVw3sr/ce7hKtFoN0yfEY4wMYtf+s5wor1M7JOFHJEGIHlFV28K2/JNMHNGf2OgQtcPpU3QBWm69PoGQIB0vv3MIc02T2iEJPyEJQvSINz76GhTImClP+aohKFDH7TcMRFEU1mZ9RX1Tq9ohCT8gCUJcsYPfVLHnqIW504YSLePyVRMRGshjd4+lus7K82/tp9Umz5+IKyMJQlwRm93JpvePERsVTMqNg9UOp88bPqAfj6Vfyzdldfz1vWKcUtxPXAFJEOKKbP/nacw1zSyYNQq9Tt5OvUGj1dBotbv9q6hu8jh8WKPVMGZYNHfNGEbhkQqyPi5B5hsSl0uGuYrLVlnbzLv5J7lhtFEe1OpFVpuDr45Z3NrCw4IYPqD9JDQXto0I0TNyYD92/LMUY2Qwt18/8GqFK/yIfOUTl+2ND0tAAw/eNlLtUMQlNBoNN10bS3xMCK9/8DXFp2rUDkn4IEkQ4rLsP17F3mMW0qcNJaaf3Jj2RlqthpmTBmCKDObFtw9wtqpR7ZCEj5EEIbrNZnew+f1jxEWHyI1pLxeoD+DxeePQBWh47s2vqJPhr6IbupQgtm3bRlpaGrNnz2bTpk3t1hcXF5ORkUFKSgrLli3Dbm+bPay8vJwFCxaQmprKokWLaGxs+wbzz3/+k5tuuom7776bu+++m1//+tc92CXR0+xO3G6QvpN/korzzdxzyzVY7U63dVJ3yfvE9Avi3++ZwPmGVl546wA2e9vw10uPa6PVLje0hZtOE4TZbGbt2rVs3ryZ7OxstmzZQklJids2S5YsYcWKFWzfvh1FUcjKygJg1apVzJ8/n7y8PMaNG8e6desAOHjwII8++ig5OTnk5OSwevXqXuia6ClWm53CYjOFxWY+3nOGvM9PM3FEf+q/rbf03X92p3zCeKNrEvrxr3OvpaSslldyj6AoittxvfDParN3/stEn9FpgsjPz2fKlClERkYSEhJCSkoKeXl5rvVlZWW0tLQwadIkADIyMsjLy8Nms1FYWEhKSopbO8CBAwfYtWsX6enpPP7445w9e7Y3+iZ6wYXy0nfNGKZ2KKKbJieauGfmcL44bOad3SfVDkf4gE6HuVZUVGA0XqzGaTKZ2L9/f4frjUYjZrOZmpoawsLC0Ol0bu0A4eHhzJkzh9mzZ/P666+zePFi3njjjS4HHRMT1uVte4vR2H6Ioa/rqE9KdRPhYUGcPFtHaUUDU8fHY4wOpbq+/fVsvV5HeFjQZbX1pf2v5muFhBgwflsf65H0cdQ02sjZdYJBcRHfu60a/PHvCny3X50mCKfT6VaZU1EUt+WO1l+6HeBafuqpp1xtDz30EH/605+or68nPLxr/xGrqhpwqnix22gMx2KpV+31e8P39anJaud8bROf7D1Dv9BAhseHY7PZqW9oabetp/autvXG/uFhQaq+fm+9Vnf61dRkxeK4WHbjgVuGc6LsPBtyDpJy0yAiwwwdbns1+ePfFXhHv7RazWV9se70ElNcXBwWy8WHdCwWCyaTqcP1lZWVmEwmoqOjqa+vx/Htm+3Cfk6nk/Xr17vaLwgICOh28OLqOXiimoZmGzdeayJAK6W8fZleF8C//ct4AvVaPt5bJjWbRIc6TRDTpk2joKCA6upqmpub2bFjB8nJya71CQkJGAwG9uzZA0BOTg7Jycno9XqSkpLIzc0FIDs7m+TkZLRaLe+//z7bt293tU+cOJGQECkR7a1q6ls4+E01Q+LCiY8JVTsc0QOiI4J49M5raWi28dn+s1KzSXjUaYKIjY1l8eLFZGZmMm/ePObOncuECRNYuHAhBw4cAGDNmjWsXr2a1NRUmpqayMzMBGDlypVkZWWRlpZGUVERTz75JADPPPMMr732GnfeeSdvvfUWv/3tb3uxi+JKvbv7JApww2iZGc4Xearl1Gi1MzyhHzeOMVFmaeSrryvVDlN4oS7VYkpPTyc9Pd2tbcOGDa6fExMT2bp1a7v9EhIS2LhxY7v2kSNHduumtFDPaXM9hcUVXDssmrBgvdrhiMvgqZYTtE0FO2pQJFV1Vg58U010RJBMWSrcyJPUokOKopD1cQkhQTrGD49WOxzRC9pqNpno3y+I3QfOUl4p5TjERZIgRIcOnazm8MkaUm8aQqBeBhH4qwCtlluuS0Cv07LhnUM0ttjUDkl4CUkQwiNFUXhn10liIgxMnxivdjiil4UE6Zg5KYGaeit/zjmk6jBy4T0kQQiPjp4+T0lZLXOmDEEXIG+TvsAUFcx9t43g4Ilq3vr0uNrhCC8gEwYJj7bln6RfaCAzJsTT6pBvk33FzePjOVfVxD8+P82Q2HBulJvWfZp8NRTtlJTVUnyqhpQbB6PXyb2HvkSj1XD3jGEMHxDBX98r5tDJaqnw2odJghDt5BacIixYzy3XDVA7FHGVWW0Ovjxm4YbRRgz6AF546wCnzHVqhyVUIglCuKk438xXJZXcel0CQYFyBbKvCjbomDV5IBoNrHv7ANV17WtJCf8nCUK42bm3DI1Gwy3XJagdilBZeEggtycNpNlqZ23WVzQ0y/DXvkYShHCx2hx8ur+ciSNiCAwMkFniBDERQSy8eyzmmibWZn1FTYNVZp/rQ+QagnD552EzTS12jFHBFBabXe0TR0kNpr5saHwEN4+P55N95azdso9brk9Aq9EweUwsOoN8hPgzOYMQQNuDcR/tLSM+JoTYqGC1wxFeZkhcODeOMXHG0siXHuo6Cf8kCUIAUHLmPKfM9cyYOKDdRE9CACQOiWL04EgOnajheFmt2uGIq0AShABg554z6AI03DDa1PnGos+anGgiLjqEgoNmTp3zv9nfhDtJEAKH08mn+8qYeE1/QoLkmrLomFarIXnSAIINAfxvbjHNVrvaIYle1KUEsW3bNtLS0pg9ezabNm1qt764uJiMjAxSUlJYtmwZdnvbm6a8vJwFCxaQmprKokWLaGx0LyV87tw5brzxRs6cOdMDXRGXq/hUDefrrUwZK2UVROeCAgOYPjGeqroWNm4/iiKz0fmtThOE2Wxm7dq1bN68mezsbLZs2UJJSYnbNkuWLGHFihVs3769bQ6BrCwAVq1axfz588nLy2PcuHGsW7fOtY/T6WTZsmXYbDK2Wm2fHzITGqRjwjUxaocifERsVAhpU4bw+WEz+QfPqR2O6CWdJoj8/HymTJlCZGQkISEhpKSkkJeX51pfVlZGS0sLkyZNAiAjI4O8vDxsNhuFhYWkpKS4tV/wl7/8hWnTphEVFdXTfRLdYLU52HPMwrQJA6TukuiW2TcOZtSgSDZ/cEyetPZTnSaIiooKjMaL4+BNJhNms7nD9UajEbPZTE1NDWFhYeh0Ord2gIMHD/L555/zwx/+sMc6Ii7Pvq8rsbY6uOWGgWqHInxMgE7Lg3eMxO5Q+N9/HKGhxSYPz/mZTu9IOp1Ot2GPiqK4LXe0/tLtoG16w+bmZlatWsV///d/o9Ve3j3ymJiwy9qvJxmN4WqH0CMOnjxCdISBccP7o9VqUKqbCA8LcttGr9d1qa072/b1/X0p1o72d6Khqr6VG6+NY/f+ct7JP8VDs0ZjjA5pt21X+cvf1aV8tV+dJoi4uDiKiopcyxaLBZPJ5LbeYrn44ExlZSUmk4no6Gjq6+txOBwEBAS49isqKqKqqopFixYBbWcgjz32GC+88ALDhw/vUtBVVQ2qznhlNIZjsfj+ED+7w8neo2YmJ5rQajVYLPU0We3UN7hfLrDZutbWnW2v1v7hYUFeGf+VvlZ3+tXbfR0WH8bRU0F8+uUZbrtuABqHo922XeEvf1eX8oZ+abWay/pi3elX+GlZQyXeAAAgAElEQVTTplFQUEB1dTXNzc3s2LGD5ORk1/qEhAQMBgN79uwBICcnh+TkZPR6PUlJSeTm5gKQnZ1NcnIyM2bM4KOPPiInJ4ecnBxMJhMvv/xyl5OD6Bl2Jxw8UU2z1cGowVFUVDdJ3SVxWbQaDdPGx2GzO9m2+6Ta4Yge1GmCiI2NZfHixWRmZjJv3jzmzp3LhAkTWLhwIQcOHABgzZo1rF69mtTUVJqamsjMzARg5cqVZGVlkZaWRlFREU8++WTv9kZ0mdVm58M9pWg10NhsY+/RCgqLzdidchFZdF9kmIExQ6IoOHiOQyerXQX9pKifb+vSU1Hp6emkp6e7tW3YsMH1c2JiIlu3bm23X0JCAhs3bvze3/3RRx91JQRxBezOtoTwXU4FyiyNmKJD0OvkeUlx5SaO6M8ZSyP/m1vMnKlD0H57D1KK+vkuOWp9gNVmd6vOCjAoLpzzDa0kDeynUlTC3+h1WtKnD2PT9qOUlNYyanCk2iGJKyRfHfuoI6dqAEjor/6IMOE/rhvVn9ioYPZ+baGl9fJuVgvvIQmijyo+WUNYsJ6IUL3aoQg/otFouPHaWGx2p5QF9wOSIPogp1OhpPQ8CcZQKe0telxUuIHEwVF8faaWylp5wtqXSYLog6rrWmi1O4m7ggeahPg+E0fGEGwI4IvDZpxSzM9nSYLogypqmgEwRsrMcaJ3BOoCuGG0karaFr44JMX8fJUkiD6o4nwzMRFBMveD6FXD4iMwRgbzzq6TNLVI1WZfJAmij1EUhYqaZoYO8M3aMMJ3aDQabrrWRGOLjezPTqgdjrgMkiD6mPomGy2tDobFR6gdiugDoiOCuHl8PB/tLeNMRYPa4YhukgTRx1jOt91/GDZAEoS4OuZOG0qwIYBN7x+T2ed8jCSIPqaipplAnRaTjGASV0lYaCBzpw3laOl5PjtwVmo0+RC5S9nHVNQ0Y4wKdtXJEaK3WW0O9Hot0REGsj4swdrqQK/TSo0mHyBnEH2ItdVBbWMrJhneKq4yrUbDjWNiabLa2X+8Su1wRBdJguhDLtx/MEZJghBXnykqmGsSIjh8slrmsPYRkiD6kAtlD2Ii2k8fKcTVcMNoEwZ9AAUHzarOCim6RhJEH1Jdb6VfaKDM/yBUExQYwOQxJqrqWtj5ZZna4YhOdOmTYtu2baSlpTF79mw2bdrUbn1xcTEZGRmkpKSwbNky7Pa2yWnKy8tZsGABqampLFq0iMbGRgBKSkp48MEHueuuu3j44YcpK5M3ytVQU9dCVIRB7TBEHzc0LpyBxlDezT9JxbeXPYV36jRBmM1m1q5dy+bNm8nOzmbLli2UlJS4bbNkyRJWrFjB9u3bURSFrKwsAFatWsX8+fPJy8tj3LhxrFu3ztX+k5/8hHfeeYe0tDSeffbZXuia+K6WVgeNLXaiwyVBCHW1PWEdS4BWw8a8I/JshBfrNEHk5+czZcoUIiMjCQkJISUlhby8PNf6srIyWlpamDRpEgAZGRnk5eVhs9koLCwkJSXFrR3g1VdfJTk5GafTSXl5ORER8tBWb6upb7v/EC33H4QXCA3Wkz59GIdO1pB/UIr5eatOE0RFRQVGo9G1bDKZMJvNHa43Go2YzWZqamoICwtDp9O5tQPodDrq6upITk7m9ddf5/777++xDgnPquusAETLJSbhJaZPiGfEwH688eHX1DW2qh2O8KDTp1ScTqfbpDKKorgtd7T+0u0At+WIiAh27drFp59+yqJFi/jwww8JCAjoUtAxMepPk2k0+k6xO6W6ifpmG6HBeozRbf/t9Hod4WHuZxPhYUEe27va1p1t+/r+vhRrb+0fFhrEz+ffwBN/2knWJ8dZOiTap/6uusNX+9VpgoiLi6OoqMi1bLFYMJlMbustlotTC1ZWVmIymYiOjqa+vh6Hw0FAQIDbfrm5ucyZMweNRkNycjItLS3U1tYSHR3dpaCrqhpUHSJnNIZjsdSr9vrd1WS1Y65uIioskPqGtktNNpvd9TO0JYf6hpZ27Z627aitO9terf3Dw4K8Mv4rfa3u9Evtvna0f1OTlVCDjnkzhrF153E+/bKMawf1a7edr/OGzwutVnNZX6w7vcQ0bdo0CgoKqK6uprm5mR07dpCcnOxan5CQgMFgYM+ePQDk5OSQnJyMXq8nKSmJ3NxcALKzs137vfLKK7z//vsAfP7550RFRXU5OYjua7U7qGtolfsPwiul3jiYawZE8NLb+znfYFU7HPEdnSaI2NhYFi9eTGZmJvPmzWPu3LlMmDCBhQsXcuDAAQDWrFnD6tWrSU1NpampiczMTABWrlxJVlYWaWlpFBUV8eSTTwLw+9//nldffZW7776bF154geeff74XuyjKKxtRaJsrWAhvo9Vq+NHca2m1O3k19wgNLTZXQT8p7KeuLlXKSk9PJz093a1tw4YNrp8TExPZunVru/0SEhLYuHFju/YRI0bw+uuvdzdWcZku1OGXG9TCm2i0Ghqtbc9MhYcGcs+tI3h9x1Fe/+BrRg50v9Qkhf3UIf/F+4AySyOBOi1hwXq1QxHCxWpz8NWxi/cvo8INXJPQj6LiCuJjQuT96gWk5kIfcMbSQFS4od2oMiG8iUaj4YE7RqKgkH/wnDxA5wUkQfg5RVE4V9VEpNx/ED4gpl8QSYkmzlU1cbT0vNrh9HmSIPxcdZ2VllYHkWGSIIRvGDmwHwP6h7D3qEUeoFOZJAg/V1bZViAxMixQ5UiE6BqNRsPUcXFoNBryD57DKZeaVCMJws+VVbaNYJIzCOFLQoP03DjGREVNM8Una9QOp8+SBOHnyi2NRIQGYgjsWhkTIbzF8AERDDKF8eXXlZyralI7nD5JEoSfK6tsJD4mRO0whOg2jUbDlLGx6AO0bNx+FIdTnpa72iRB+DGnolBe1Uh8TKjaoQhxWYINOqaMjeW0uZ7cz0+rHU6fIwnCj1XWttBqcxInZxDChw2JC+f60Ube2XWCb8rr1A6nT5EE4cfKLW0jmAbIGYTwcQ/eMZJ+YYGsyz5ARW2z1Ge6SiRB+LELI5jkDEL4uoAALVOujeV8vZUX3jrAPw+fw2qzqx2W35ME4cfKKxuJCjcQLEXOhB/oHxnMDaNNnKlo4LAMfb0qJEH4sTJLIwn95fKS8B+JQyIZHBvG3mMWTsj9iF4nCcJPOZ0KZ6ubSDBKghD+Q6PRMG1cHKFBel7NLaah2aZ2SH6tSwli27ZtpKWlMXv2bDZt2tRufXFxMRkZGaSkpLBs2TLs9rZrg+Xl5SxYsIDU1FQWLVpEY2PbTdPjx4+zYMEC7r77bh544AGKi4t7sEsCwHK+GZvdyQA5gxB+JlAfwMxJA6hvauUv7x6WUhy9qNMEYTabWbt2LZs3byY7O5stW7ZQUlLits2SJUtYsWIF27dvR1EUsrKyAFi1ahXz588nLy+PcePGsW7dOgCWL1/OwoULycnJ4cknn+RXv/pVL3Stb7tQgymhf/fnoRXC28X0C+JfZl7D/uNVvJd/Uu1w/FanCSI/P58pU6YQGRlJSEgIKSkp5OXludaXlZXR0tLCpEmTAMjIyCAvLw+bzUZhYSEpKSlu7QD33XcfM2bMAGD06NGcPXu2xzvW111IEAP6ywgm4Z9mTIhnythYsj87wcETVWqH45c6TRAVFRUYjUbXsslkwmw2d7jeaDRiNpupqakhLCwMnU7n1g5tySIgoK020PPPP88dd9zRM70RLmWWBmIigggKlBFMwj9pNBoeSUlkgDGUl985TGVts9oh+Z1OPz2cTqfbTGSKorgtd7T+0u2Adtv94Q9/4KuvvuK1117rVtAxMepfNjEaw9UO4XtVnG9hWEI/jMZwlOomwsOC3Nbr9bp2beFhQR7bu9rWnW37+v6+FKva+3fUHhJiwBQdwoofTWHxc5+w4d1invnpdPQ67ytM6e2fFx3pNEHExcVRVFTkWrZYLJhMJrf1FsvFeWUrKysxmUxER0dTX1+Pw+EgICDAbT+73c6vfvUrzGYzr732GuHh3fuPV1XVgNOp3o0pozEci6VetdfvjMPp5ExFPWMGR2Kx1NNktVPf0OK2jc3m3hYeFkR9Q0u7dk/bdtTWnW2v1v7hYUFeGf+VvlZ3+qV2X6/0WHX0O5qarFgcDvTAo2ljeOHtAzz/+l4yUxPb7a8mb/i80Go1l/XFutNLTNOmTaOgoIDq6mqam5vZsWMHycnJrvUJCQkYDAb27NkDQE5ODsnJyej1epKSksjNzQUgOzvbtd8zzzxDQ0MDr7zySreTg+hcRU0zdociI5iEX9NoNTRa7TRa7YweEsUdSYPYua+c3QfknmZP6fQMIjY2lsWLF5OZmYnNZuPee+9lwoQJLFy4kCeeeILx48ezZs0ali9fTkNDA2PHjiUzMxOAlStXsnTpUtavX098fDzPPvss1dXVbNq0iYEDB3Lfffe5XicnJ6f3etnHlH1bg0megRD+zGpz8NWxi1cv4qKDGTUoko3bjxLfP5TY6IsDNAx6HTp56qvbunQHMz09nfT0dLe2DRs2uH5OTExk69at7fZLSEhg48aN7doPHz7c3ThFN5RVNqIBKfMt+hStVsODs0byzMa9rPv7AeZMGUyAti0rTB4Ti05KznSb5FQ/VFbZiDEyGIPe+27WCdGb+oUZmDY+juo6K3uPVqodjs+TBOGHyisb5f6D6LMGmcIYPTiS4lM1lFka1A7Hp0mC8DN2hxOz1GASfVzSaCORYYHsPnCOZquUBb9ckiD8zLnqJhxORaq4ij4tIEBL8qQB2OxOdu0/K/WaLpMkCD9T7iqxIQlC9G2RYQYmJ5o4W9XEzi/L1A7HJ0mC8DNllkY0GoiXWeSEYOSgfgw0hvLu7pOcOFfvem5CpiztGkkQfqa0ooG46BCvLDcgxNWm0WiYMjYOXYCGl7IP8sXhcxQWmyksNsuUpV0gCcLPnDLXMyRWnk4X4oKQIB3zkodjOd/MkVMyVWl3SILwI/VNrdTUWxksCUIINzckmkgwhvLlsUrqGlvVDsdnSILwI6fNbWO+B8eqX+1WCG+i0WiYOjaOAK2G/IPnUGRUU5dIgvAjp81tFSPlDEKI9kKCdEweY6Kippkjp86rHY5PkAThR06Z64mJMBAWrFc7FCG80vABESQYQ9l7zILlvEww1BlJEH7ktLlBzh6E+B5tl5pi0Whg687jcqmpE5Ig/ERLqx1zdZMkCCE6ERKkZ9LI/hw+Uc3eY1LQ7/tIgvATZyoaUZAb1EJ0ReLgKAb0D+X1D49hbXWoHY7XkgThJ059e4NanoEQonNarYb7bxtBdZ2Vbfkn1Q7Ha3UpQWzbto20tDRmz57Npk2b2q0vLi4mIyODlJQUli1bht3e9oRieXk5CxYsIDU1lUWLFtHY2Oi235tvvsnSpUt7oBvilLmesGA9UeEGtUMRwidck9CPqWPj2FFYSqXcsPao0wRhNptZu3YtmzdvJjs7my1btlBSUuK2zZIlS1ixYgXbt29HURSysrIAWLVqFfPnzycvL49x48axbt06AKxWK2vWrOHpp5/uhS71TafN9QyODUOj0agdihA+456Zw9Fq4K1Pv1E7FK/UaYLIz89nypQpREZGEhISQkpKCnl5ea71ZWVltLS0MGnSJAAyMjLIy8vDZrNRWFhISkqKWztAYWEhTqeTJUuW9Eaf+pxWm4MySyODTOFuxcgu/HPKQA0hPIqOCGL2jYP54rCZb8rr1A7H63SaICoqKjAaja5lk8mE2WzucL3RaMRsNlNTU0NYWBg6nc6tHWD69On88pe/JCgoqMc60pcdL6vF4VQYGh/uKkT23X92p5StFKIjc24aTERoIG989LUMe71Ep7N4O51Ot8sWiqK4LXe0/tLtgB67/BETo/5IHaPRe24Gb99zBq0Gxo0weixGptfrCA8L6rQtPCyoy9t6auvOtn19f1+KVe39e+u1QkIMGKPbyuI/PGcML279isOltVw7LKbd/sFBOsJDAtu1d5U3fV50R6cJIi4ujqKiIteyxWLBZDK5rbdYLK7lyspKTCYT0dHR1NfX43A4CAgIaLfflaiqasCp4nUTozEci6Vetde/1JdHKtqef3A6qW9oabfeZrO3a7+0LTwsiPqGli5t21Fbd7a9WvuHhwV5ZfxX+lrd6Zfafb3SY9VbsTY1WbE42oa4ThoeRWx0CJu3H+H2pIFoL/kyO3lMLC2N1na/tyu84fNCq9Vc1hfrTi8xTZs2jYKCAqqrq2lubmbHjh0kJye71ickJGAwGNizZw8AOTk5JCcno9frSUpKIjc3F4Ds7Gy3/UTPaLU5+Ka8lsTBUWqHIoRP0Wg1rvt0LTYnd04dwtmqJk7IvQiXTs8gYmNjWbx4MZmZmdhsNu69914mTJjAwoULeeKJJxg/fjxr1qxh+fLlNDQ0MHbsWDIzMwFYuXIlS5cuZf369cTHx/Pss8/2eof6muPlddgdCqMHR6odihA+xWpz8NWxi1c/FEVhoCmMr0qqGBofToBWHhPrNEEApKenk56e7ta2YcMG18+JiYls3bq13X4JCQls3Lixw9+bkZFBRkZGV2MVHhw9XYNGAyMHRiK314S4fBqNhrSpQ3g55xDHSmsZM0TOyiVF+rgjp88zJDackKAu5XohxPcYNTiSuOgQDhyvwiaTVkuC8GVy/0GInqXRaLhuVH9aWh0Uy/SkkiB82fGyWrn/IEQPM0YGMzg2jEMnqmlptasdjqokQfiwwiMVBOq0jBokCUKInjRpZH/sdicHv6lWOxRVSYLwUa02B18UV3DDaBPBBrn/IERPigwzMDwhgiOnz9PYbFM7HNVIgvBRX35dSbPVzvTxcWqHIoRfmjiiPyjw1fEqtUNRjSQIH7X7wFliIoIYLUPxhOgVYcF6Rg+O5PiZWs5VN6kdjiokQfig6roWDp2o5ubxce1KAgghes644dEEBGh4r49OKiQJwgcVHDqHAkwbJ5eXhOhNwQYd1w6NZt/XlRwrPa92OFedJAgf09Bs4/2iMyQOjsQUFaJ2OEL4vbHDoomOMPBqbjGttr41f7UkCB/zxodf09hs48HbR6odihB9gl6nZf6sUZhrmvn7Z31r5jlJED5k//Eq8g+eY86UIW3lvYUQV8XowVHcMmkAO/5ZSsmZWrXDuWokQfiIqtoWXtt+hAH9Q0mfNlTtcIToc+67dQTREUG8mH2AytpmtcO5KiRB+IBDJ6tZ9b+FNLXY+dGdY9Dr5LAJcbUFG3T87L4JtNqcrM36ioY+8ACdfNJ4KaeicORUDX997zDPbtlHv9BAVvy/yQyLj1A7NCH6rIHGMJ64ZzyW883899avqGtsVTukXiU1GlRkszs439BKbUMr5xusnG+wUlXXwhlLI6fN9dQ32TAEBnDLdQncf8sIDIEBrn3tTrDa3AuJqTgLqxB9xujBUfz4rrH8+Z3DrHz1nzx+11hG+2lF5S4liG3btrF+/XrsdjuPPPIICxYscFtfXFzMsmXLaGxsJCkpiVWrVqHT6SgvL2fJkiVUVVUxbNgw1qxZQ2hoKHV1dfziF7+gtLSU6OhonnvuOYxGY690UA12h9PtQ//8hZ/r3ZcbW9pXitQFaIiPCWXM0GjGDIliwjUxhAYbsNnt2K0Xt3cqsOeI2W3fiaP857+hEN7shtEmlmcGsz7nEH94/UtuHhfP7BsHMdDY/XmfvVmnCcJsNrN27VrefvttAgMDefDBB7npppsYMWKEa5slS5bw29/+lkmTJvGf//mfZGVlMX/+fFatWsX8+fO58847efHFF1m3bh1LlizhueeeIykpiZdffpns7Gx+97vf8dxzz/VqR3uC06lQ19RKbYuDE6U130kA337o11upabBS39T+2qRWq6FfaCD9QgOJ6RfEiIGRhIfoiQgNpF9YW3t4SCBHTlWj+fbpaEVR+KqkkomjjG5TI4IkAyGupgvzV3/XAGM4Kx5J4u1Pv+Gzr8rZdeAsIwf2Y8yQKEYPjmJATAgRoYEqRdwzOk0Q+fn5TJkyhcjItpLSKSkp5OXl8dOf/hSAsrIyWlpamDRpEtA2jejzzz/PfffdR2FhIS+++KKr/Qc/+AFLlixh586dbNq0CYC5c+fy1FNPYbPZ0Ov1XQpaq7288hIHjldRWduMU2n78HUqStvPTr79WcHpVHA4FaytDppb7d/+v4OmFhv1Ta0ol1zG0QAhwXoiQgIZMiCCccE6wkMMhIfoCQ8JJDxET2iwnm/Kal0f/ABjhkVTfKKtlLCiwPmGVuKNYYQGt39D6QK0hATpL6utq9sGG3Q47Pqr8lpXc/9gg84r47/S1+pOv9Tu65UeK2+I1eFUXH+vF0wcZUQboOXeW0eQNnUIhUcqOHrqPF8cNvP54baz+0B9AP3CAgkMCCAoUEuwQU+QQYtOqyVAq0Wj1RDw7T+tlrb//275nG9/1nz7P6MGRjKgf2i7+DpzuZ+ZKJ146aWXlGeffda1nJWVpSxfvty1vHfvXuXBBx90LZ88eVKZPXu2YjablRkzZrjabTabMnbsWEVRFGXs2LGKzWZzrZsxY4Zy7ty5zkIRQghxFXU6isnpdLp981UUxW25o/WXbge0W/7uPlqtDKgSQghv0umnclxcHBbLxevfFosFk8nU4frKykpMJhPR0dHU19fjcDja7WcymaisrATAbrfT2NjouoQlhBDCO3SaIKZNm0ZBQQHV1dU0NzezY8cOkpOTXesTEhIwGAzs2bMHgJycHJKTk9Hr9SQlJZGbmwtAdna2a7+ZM2eSnZ0NQG5uLklJSV2+/yCEEOLq0CjKpbdd29u2bRt//vOfsdls3HvvvSxcuJCFCxfyxBNPMH78eI4cOcLy5ctpaGhg7NixrF69msDAQMrKyli6dClVVVXEx8fz7LPP0q9fP86fP8/SpUspLS0lPDycNWvWMHDgwKvRXyGEEF3UpQQhhBCi75E7w0IIITySBCGEEMIjSRBCCCE8kgQhhBDCI6nm6sFHH33ECy+8QHNzMzfffDPLly8nPz+f1atXY7VamTNnDosXLwY6LlTojTz169e//jV79uwhODgYgJ/+9KfMmjWrw/56kzfffJO//e1vruUzZ85w9913c8cdd/j0seqoX83NzT57rKBtCPzLL78MQHJyMr/61a+6XejTG3nq1wsvvMBbb71FRERbef7777+fBQsW+Mx70EW9h7i90+nTp5Xp06crZ8+eVVpbW5WHHnpI2blzpzJz5kzl9OnTis1mUx599FFl586diqIoyp133ql8+eWXiqIoyq9//Wtl06ZNaobfoY76NXfuXMVsNrtt29zc3GF/vdWxY8eUWbNmKeXl5T5/rL7rQr+qqqp8+lg1NTUpkydPVqqqqhSbzabce++9yu7duzs8Jo899pjy7rvvKoqiKC+88ILyhz/8QbXYv09H/frxj3+s7N27t932vvYelEtMl3j//fdJS0sjLi4OvV7P2rVrCQ4OZsiQIQwaNAidTkd6ejp5eXkeCxXm5eWp3APPPPUrMTGR8vJy/vM//5P09HSef/55nE4n+/fv99hfb/ab3/yGxYsXU1pa6vPH6rsu9Cs4ONinj5XD4cDpdNLc3Izdbsdut6PT6TweE5vNRmFhISkpKW7t3shTvwwGAwcPHuTPf/4z6enpPPXUU1itVp98D3rxuY06Tp06hV6v5/HHH+fs2bPccsstjBw50m2+CpPJhNlspqKiwq3daDRiNps9/VrVeerXPffcw5QpU1i5ciXh4eH8+Mc/ZuvWrYSEhHjsr7fKz8+npaWFOXPm8O677/r8sbrgu/0qLS316WMVFhbGz372M+bMmUNwcDCTJ09Gr9d7PCY1NTWEhYW5Lr1487Hy1K/Ro0czZswYlixZwpAhQ1i6dCnr1q3jlltu8bn3oJxBXMLhcFBQUMDTTz/Nli1b2L9/P6WlpR4LEnZWyNCbeOpXUVERL774IiaTieDgYB5++GE++eQTn+oXwBtvvMEPf/hDoOPikb7WJ3Dv16BBg3z6WB05coS33nqLjz/+mM8++wytVsvu3buvuNCn2jz164033mDDhg1cc8016HQ6Hn30UZ86Vt8lCeIS/fv3Z+rUqURHRxMUFMQdd9xBfn6+x4KFHRUq9Eae+vX3v/+d7du3u7ZRFAWdTtdpgUZv0traSmFhIbfddhvQcXFJXzpW0L5fR48e9eljtWvXLqZOnUpMTAyBgYFkZGTwxRdfdLvQp7fx1K9PPvmErVu3urbp6Fh5+3sQJEG0c+utt7Jr1y7q6upwOBx89tlnpKamcuLECU6dOoXD4eDdd98lOTm5w0KF3shTv+644w6efvppamtrsdlsbNmyhVmzZjFx4kSP/fVGR48eZejQoYSEhAB0GLsvHSto3y9FUXz6WCUmJpKfn09TUxOKovDRRx9x4403drvQp7fx1K8RI0bwxz/+kdLSUhRFYdOmTcyaNcvn3oMg9yDamThxIv/6r//K/Pnzsdls3HzzzTz00EMMHz6cf//3f8dqtTJz5kxSU1MBWLNmjVuhwszMTJV74Jmnfj388MPodDoeeugh7HY7s2fPZu7cuQD8/ve/99hfb1NaWkpcXJxr2WAwdBi7rxwraN+vxMREHnvsMZ89VtOnT+fw4cNkZGSg1+sZP348jz32GLNmzfJ4TFauXMnSpUtZv369q9CnN/LUr2XLljFlyhQWLVqEzWbj+uuvd10q9KX3IEixPiGEEB2QS0xCCCE8kgQhhBDCI0kQQgghPJIEIYQQwiNJEEIIITySYa5CdGD06NGMGjUKrfbi96hx48bxu9/9jqVLlzJy5Eh+9KMfAXD8+HGee+45Tp48iUajISIigieffJKkpCTXvv/4xz945ZVXqKurIzAwkMGDB/PEE08wevToq943IbpCEoQQ3+P//u//iI6O/t5tvvnmGx555BFWr17NjBkzACgoKODxxx/n9ddfZxzNUOEAAAGpSURBVOTIkfztb3/jrbfe4o9//CMjRowA4JNPPuHRRx/lL3/5C2PGjOn1vgjRXXKJSYgrtGHDBu655x5XcgCYOnUqf/rTnwgKCqK1tZW1a9eyZs0aV3IAmDlzJgsXLmTt2rVqhC1Ep+QMQojv8cgjj7hdYnrllVeIiYlx2+bgwYP84he/aLfvzJkzXev1ej3XXHNNu22mTp3K//zP//Rw1EL0DEkQQnyPrlxiulAt9vvY7XaP7a2trV5f0VP0XXKJSYgrNGnSJPbt29eu/YUXXuCdd95h5MiRQNuUp5f64osvuO6663o9RiEuhyQIIa7Qj370I95880127drlavv000/ZuHEjiYmJGAwGfvGLX/DLX/6S48ePu7bZuXMnf/3rX/nZz36mRthCdEouMQlxhYYMGcJLL73Ec889xzPPPIPT6SQ6Opr169czatQoAB588EH69+/P8uXLqaurw263M2zYMF555RUZwSS8llRzFUII4ZFcYhJCCOGRJAghhBAeSYIQQgjhkSQIIYQQHkmCEEII4ZEkCCGEEB5JghBCCOGRJAghhBAe/X9XTnGsmg8XRwAAAABJRU5ErkJggg==\n",
"text/plain": "<matplotlib.figure.Figure at 0x11f0370f0>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "model2_vars = [\"Rate\",\"Previous Rate\",\"Cost of Funds\",\"Competition rate\"]\ny_pred, conf_matrix, log_loss, coef, logreg = utils.run_model(data,model2_vars,logreg)\ncoef",
"execution_count": 9,
"outputs": [
{
"name": "stdout",
"text": " precision recall f1-score support\n\n 0.0 0.77 0.97 0.86 7612\n 1.0 0.53 0.10 0.17 2387\n\n micro avg 0.76 0.76 0.76 9999\n macro avg 0.65 0.54 0.52 9999\nweighted avg 0.72 0.76 0.70 9999\n\n",
"output_type": "stream"
},
{
"execution_count": 9,
"metadata": {},
"output_type": "execute_result",
"data": {
"text/plain": "{'Competition rate': 0.4072258351674487,\n 'Cost of Funds': -0.07427052258419671,\n 'Previous Rate': 0.1163405899923297,\n 'Rate': -0.25704646873604486,\n 'intercept': -1.6724987792132657}"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "model3_vars = [\"Rate\",\"Cost of Funds\",\"Competition rate\",\"Previous Rate\",\"ln_amt\",\"ln_FICO\"]\ny_pred, conf_matrix, log_loss, coef, logreg = utils.run_model(data,model3_vars,logreg)\ncoef",
"execution_count": 10,
"outputs": [
{
"name": "stdout",
"text": " precision recall f1-score support\n\n 0.0 0.82 0.93 0.87 7612\n 1.0 0.61 0.37 0.46 2387\n\n micro avg 0.79 0.79 0.79 9999\n macro avg 0.72 0.65 0.67 9999\nweighted avg 0.77 0.79 0.77 9999\n\n",
"output_type": "stream"
},
{
"execution_count": 10,
"metadata": {},
"output_type": "execute_result",
"data": {
"text/plain": "{'Competition rate': 0.6911660649452835,\n 'Cost of Funds': -0.05996274798006092,\n 'Previous Rate': 0.03720500380104515,\n 'Rate': -0.27866761990989014,\n 'intercept': 7.79575457602533,\n 'ln_FICO': 1.340247794822258,\n 'ln_amt': -1.9604850051437432}"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "model4_vars = [\"Rate\",\"Cost of Funds\",\"Competition rate\",\"Previous Rate\",\"ln_amt\",\"ln_FICO\",'Loan Type_U', 'Loan Type_N']\ny_pred, conf_matrix, log_loss, coef, logreg = utils.run_model(data,model4_vars,logreg)\ncoef",
"execution_count": 11,
"outputs": [
{
"name": "stdout",
"text": " precision recall f1-score support\n\n 0.0 0.83 0.93 0.88 7612\n 1.0 0.65 0.39 0.48 2387\n\n micro avg 0.80 0.80 0.80 9999\n macro avg 0.74 0.66 0.68 9999\nweighted avg 0.79 0.80 0.78 9999\n\n",
"output_type": "stream"
},
{
"execution_count": 11,
"metadata": {},
"output_type": "execute_result",
"data": {
"text/plain": "{'Competition rate': 0.8891567600396206,\n 'Cost of Funds': -0.05767158810339534,\n 'Loan Type_N': 1.7463473469437512,\n 'Loan Type_U': 2.0823141339639295,\n 'Previous Rate': 0.22368352337865963,\n 'Rate': -0.35739884559516505,\n 'intercept': 7.688534996885051,\n 'ln_FICO': 1.0286934244207715,\n 'ln_amt': -1.9762799000818507}"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "res = utils.stats_pred(data,model4_vars)",
"execution_count": 12,
"outputs": [
{
"name": "stdout",
"text": "Optimization terminated successfully.\n Current function value: 0.447496\n Iterations 6\n Results: Logit\n=================================================================\nModel: Logit Pseudo R-squared: 0.218 \nDependent Variable: y AIC: 35814.7896\nDate: 2019-02-14 12:40 BIC: 35883.5625\nNo. Observations: 39999 Log-Likelihood: -17899. \nDf Model: 7 LL-Null: -22887. \nDf Residuals: 39991 LLR p-value: 0.0000 \nConverged: 1.0000 Scale: 1.0000 \nNo. Iterations: 6.0000 \n-----------------------------------------------------------------\n Coef. Std.Err. z P>|z| [0.025 0.975]\n-----------------------------------------------------------------\nRate -0.3276 0.0082 -39.8625 0.0000 -0.3437 -0.3115\nCost of Funds -0.0847 0.0513 -1.6507 0.0988 -0.1852 0.0159\nCompetition rate 0.8859 0.0335 26.4177 0.0000 0.8201 0.9516\nPrevious Rate 0.2268 0.0080 28.2910 0.0000 0.2111 0.2425\nln_amt -1.9679 0.0325 -60.4865 0.0000 -2.0317 -1.9041\nln_FICO 2.1599 0.0475 45.4539 0.0000 2.0668 2.2531\nLoan Type_U 2.1028 0.0772 27.2527 0.0000 1.9515 2.2540\nLoan Type_N 1.7653 0.0851 20.7419 0.0000 1.5985 1.9321\n=================================================================\n\n",
"output_type": "stream"
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "utils.plot_confusion(conf_matrix)",
"execution_count": 13,
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x1201302e8>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "utils.plot_roc(data,model4_vars, logreg)",
"execution_count": 14,
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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pueW6+r6RWmbe3wO1Wq7AEULUjQS+EzhzKY/lHx4BoH3rFvxxcm+8PGVOWSFE/UjgN3PHzmWz5uPjAAzvdwOzH7ylQbPcCyGEBH4zlnwh1xr2s8b0oG8Xef6NEKLhJPCbqS//e4l/7vkJgKcf6EmPjiEOrkgI4ewk8JsZRVF4P+FH/nPsKgBPxUZJ2Ash7EICv5lJOJRqDfs/Te1Lh9YtHFyREMJVSOA3I7mFBuswzqqnbifIX2aiEkLYjwR+M3HkrJ61n5wA4MmxPSTshRB2J4HfDDz31gFyCg0A3NWnrcxGJYRoFBL4DvbPPefIKTSgAl5+tB9ttQGOLkkI4aLUddlox44djBgxgmHDhrF58+Zq68+fP8+UKVMYPXo0jz76KAUFBXYv1BU999YBvvxvKgBrfj9Qwl4I0ahsBn5mZiarVq1iy5YtfPbZZ3z00UecO3fOul5RFJ544gmmT5/O9u3b6dq1K+vXr2/Uol3ByfM51mGcN568jQA/LwdXJIRwdTYD/8CBAwwYMIDg4GA0Gg3Dhw8nISHBuj45ORmNRsOgQYMAmDlzJpMnT268il2A0WRm5dZjgOUO2paBPg6uSAjhDmwGflZWFlrtLxNg63Q6MjMzrcupqamEhoYyb948xo4dy8KFC9FoNI1TrQuoNJqYsWIvALdFhcvjEoQQTcbmSVuz2VxlEmxFUaosG41GDh06xKZNm4iKimL16tUsW7aMZcuW1bmIkJCGj11rtYEN3tcR4t/YA4C2pR9zpzZsgnFn69kepGf3ID03LpuBHx4eTlJSknVZr9ej0/1yVKrVamnXrh1RUVEAjBw5kvj4+HoVkZNTjNms1Gsfy2cHOs2TI01mM29+fIILVy3TES6bMYDs7OJ6v48z9Wwv0rN7kJ7rTq1WNehA2eaQTkxMDAcPHiQ3N5eysjISExOt4/UAvXv3Jjc3lzNnzgCwe/duunfvXu9CXFlGbinTl+/lxPkc2oUHMj+uT4OO7IUQ4nrYPMIPCwtjzpw5xMXFUVlZyfjx44mOjmb69OnEx8cTFRXFunXrWLBgAWVlZYSHh7N8+fKmqN0pKIrC0k2HAejVOZTZ46JQS9gLIRxApShK/cdS7MyVh3Te+uwkSWey6NquJc9N7H3d7+cMPdub9OwepOe6a7QhHdFwSWeySDqTBcATY3o4uBohhLuTwG9EW/dYblBb/sStcmOVEMLhJPAbyfsJZ8guMNC9fUtCg/wcXY4QQkjgN4bs/DL2HbVMYjJ7XLSDqxFCCAsJ/EawMfFHwDI9oY+Xh4OrEUIICwl8O9t1OI2T53MB6H2z1sbWQgjRdCTw7aiotILNX6UAMG9KHwdXI4QQVUng29GSDyw3WM2OjaJzRJCDqxFCiKok8O3k8wMXycwrI1DjxS0ylCOEaIYk8O3gP8eu8ul/zgOw6LH+Dq5GCCFqJoF/nYwmMxu+tDw47ukHe9JC4+3gioQQomYyifl1qKg0MfONfQD8XxcdPTqEOLgiIYSonQR+AxWXVRK/5hsA+ncLY8aobg6uSAghfpsEfgMoimIN+8gbgnl8tDz/XwjR/MkYfgOs/OgoAH4+nsydfIuDqxFCiLqRwK+ny1nFJF/Mw9tLzZ//MNDR5QghRJ1J4NfTtUcev/xIwyYgF0IIR5HAr4eyciPJF3IJa+lHWEuNo8sRQoh6kcCvh/cTLNfb39ErwsGVCCFE/Ung11FhaQWHTlumK7yrT1sHVyOEEPUngV9Hz677FoC44ZF4ecpfmxDC+Uhy1cEVfTFGkwLAnb1lOEcI4Zwk8Otg5dZjADw3sbeDKxFCiIaTwLfhclYxeUXlAHRt19LB1QghRMNJ4NuQ8N9UAHl8ghDC6Ung/4bvkjM4mJzBjboA+nXVObocIYS4LhL4tVAUhU2Jlvlpn5vUW+6qFUI4PQn8Wuw5coXSciM9O4Xg7+vl6HKEEOK6SeDX4trR/Yhb2zm4EiGEsA8J/Bpk55cB0CbUn5vaBju4GiGEsA8J/Br8c+9PADwwuLODKxFCCPupU+Dv2LGDESNGMGzYMDZv3lzrdnv37mXIkCF2K84Rissq+f5MFp3bBhHdSeaoFUK4DptTHGZmZrJq1So+/fRTvL29mTBhAv3796dz56pHv9nZ2bz22muNVmhT2ZT4IwD9u4Y5uBIhhLAvm0f4Bw4cYMCAAQQHB6PRaBg+fDgJCQnVtluwYAGzZ89ulCKbiqIoHP5RD8DgW+SZOUII12LzCD8rKwutVmtd1ul0HD9+vMo2GzdupFu3bvTs2bNBRYSEBDRoPwCtNrDB+/6vnd9dxGRW6Nq+FWG6FnZ7X3uzZ8/OQnp2D9Jz47IZ+GazucpNR4qiVFlOSUkhMTGRDRs2kJGR0aAicnKKMZuVeu+n1Qai1xc16DNrsvGL0wA8Oaa7Xd/XnuzdszOQnt2D9Fx3arWqQQfKNod0wsPD0ev11mW9Xo9O98tjBhISEtDr9YwbN44ZM2aQlZXFpEmT6l2Io/1zzzkKSyro0DoQjdxoJYRwQTYDPyYmhoMHD5Kbm0tZWRmJiYkMGjTIuj4+Pp6dO3eybds21q9fj06nY8uWLY1atL2lZhbx5c8PSZvzQC8HVyOEEI3DZuCHhYUxZ84c4uLiGDNmDCNHjiQ6Oprp06dz4sSJpqix0b309+8BeObBXgT4ydG9EMI12RzDBxg1ahSjRo2q8tq7775bbbu2bduye/du+1TWRBTll3MH3Tu0cmAlQgjRuNz+Ttu9R64AcE//Gx1ciRBCNC63D/wPfn5I2qiY9o4tRAghGplbB/6J8zkADOgehp9PnUa3hBDCablt4CuKwqqfJyePHdjRwdUIIUTjc9vALzEYAbg9qjWhwX4OrkYIIRqf2wb+8Z+yAejavqWDKxFCiKbhtoH/3ueWxyjccpPWxpZCCOEa3DLwr52s7X1TKD7eHg6uRgghmoZbBv4nP89oNfXeLg6uRAghmo7bBb6iKKTpS+jVOZQWGm9HlyOEEE3G7QK/xGDErCh0imi+z7sXQojG4HaB/0OK5VHP3p4ydi+EcC9uF/j7jlqenTOgu8xZK4RwL24X+BczighrpSFQxu+FEG7GrQL/bFo+igJDZIJyIYQbcqvAT80sBqBjGzlhK4RwP24T+EaTmY/3/oSfjwftwppulnghhGgu3Cbwv/zuEuWVJgb1bIOnh9u0LYQQVm6TfOk5pQCMiung4EqEEMIx3CbwL2dZxu81vjLRiRDCPblF4BtNZq5klxDSwsfRpQghhMO4ReAfPJkBwJA+bR1ciRBCOI5bBP7WPefw9lRzd58bHF2KEEI4jMsHfpq+mBKDkU4RQXh5uny7QghRK5dPwD1HLM/OGRXT3rGFCCGEg7l84Pv+PKPVTTcEObgSIYRwLJcP/OQLufh6e+ChdvlWhRDiN7l0Cl7NLiE1s1iuvRdCCFw88A8mWy7HlPF7IYRw8cDfd/QqAIN6tnFwJUII4Xh1CvwdO3YwYsQIhg0bxubNm6ut//rrr7n//vsZPXo0s2bNoqCgwO6F1ldqZhHFZZXc2j0MlUrl6HKEEMLhbAZ+ZmYmq1atYsuWLXz22Wd89NFHnDt3zrq+uLiYl156ifXr17N9+3YiIyNZu3ZtoxZdF5u/SgFg6P/JzVZCCAF1CPwDBw4wYMAAgoOD0Wg0DB8+nISEBOv6yspKFi5cSFiYZY7YyMhI0tPTG6/iOjCZzZxNK6CFvzftw2WyEyGEgDoEflZWFlqt1rqs0+nIzMy0Lrds2ZKhQ4cCYDAYWL9+PXfffXcjlFp359IsQ0qdZGYrIYSwsnm9otlsrjIGrihKjWPiRUVFPPnkk3Tp0oWxY8fWq4iQkIB6bf9rWm312av2HLP8hvHYmKga1zs7V+zJFunZPUjPjctm4IeHh5OUlGRd1uv16HS6KttkZWXx6KOPMmDAAObNm1fvInJyijGblXrvp9UGotcXVXs9M9vy7HuVyVTjemdWW8+uTHp2D9Jz3anVqgYdKNsc0omJieHgwYPk5uZSVlZGYmIigwYNsq43mUzMnDmTe++9l/nz5zeLK2IuphcC4OstN1wJIcQ1NhMxLCyMOXPmEBcXR2VlJePHjyc6Oprp06cTHx9PRkYGp06dwmQysXPnTgB69OjB4sWLG734mhhNZlLSCgjw83LI5wshRHNVp0PgUaNGMWrUqCqvvfvuuwBERUVx5swZ+1fWQCcv5AJwZ+8IB1cihBDNi8vdabv7hzQA7pC7a4UQogqXCnxFUUj++Qg/JMjXwdUIIUTz4lKBX1ZuRFGgX1ed7Y2FEMLNuFTgX0i3XN50y81aG1sKIYT7canAv/Y4ZBnOEUKI6lwq8A+ctAR++3D3u1tPCCFscZnANyuWO3XbhPrLdIZCCFEDl0nGtCzL4xT6Rsr4vRBC1MRlAl+fbwCgQ2t5QqYQQtTEZQI/I7cEgKAAbwdXIoQQzZPLBP7V7FIAbtTJCVshhKiJywS+l6flKZ1qteOf1imEEM2RywT+gZOZaIPl+nshhKiNSwS+2axgNJkxmx1diRBCNF8uEfj5xeUA9O8W5uBKhBCi+XKJwM/ItZywDZVHKgghRK1cIvBLDEYAwlppHFyJEEI0X64R+GWVALRq4ePgSoQQovlyicA/dSkPkCEdIYT4LS4R+EfP6gHkoWlCCPEb6jSJeXOWX1yO0aTQ5cZgR5ciamEyGcnL02M0VjRo/6wsNWY3u+ZWenYPtnpWqz3w8wsgICAIler6byp1+sC/+PMsV/fd2t6xhYha5eXp8fXV4O8f3qD/aT091RiN7hUE0rN7+K2eFUXBZDJSVJRPXp6eVq2uf+pWpx8DOXXRMml5m1B/B1ciamM0VuDv38IuRyhCuAuVSoWnpxfBwSFUVBjs8p5OH/jfnszA00NFsDwls1mTsBeiYVQqNaDY5b2cOvAVRaGs3EhokJ8EihBC2ODUga/PKwOgrS7AwZUIZ7V48Ut88cWO39xmyZKXychIr/d7f/75Zyxe/FIDK7OvDz/cxKRJ45gwIZZ9+3bXuM2hQ98xdepEpkx5gEWLXqSy0nJ/S0ZGBk8+OZ1Jk8bxwgtPU1pqubP94sULPPnkdKZNm8Tjjz/M2bM/ApCbm8Pzz89hypQHePzxhzl58ni1z1qwYC5//es71V7/5JOPmD17hnU5Pf2q9TNmz55h/R4qKytZvXoFDz88iYceeoBDh76z7vPmm2/w0EMPMGXKA3z1VUK1z/jzn1dX+V727dvD1KkTeOihB1i8+CVr39e8++7bNdaalZXJvfcOIT39KgBGo5Fhw+5g2rRJ1j8mk8m6/U8/neOhhx6o8h6fffYpjzwymQkTYtm8+f1qn2FvTh34BSWWZ+j06NDKwZUIV/bDD0koSt1/pS4vL+ftt9eyZs3KRqyq7k6fTiYx8Qv+/vctvP32e6xbt4bCwoJq2y1btoiXX17CBx9spbzcQELCvwFYuXIZY8eOZ8uWT+jSpRsbNrwHwGuvvcrkyVPZsGELM2bM4tVXXwIsgRoZ2YUPPtjKiy8u4pVX/kR5+S9j0J9/vo0ffkiq9vkXLpxn06aqoffee29z993D2bBhC3feOYT1698CYPPm98nPz+dvf9vMK68sZcmSl1EUhaSkQ5w6lcz773/ImjVv88Ybr2Ew/PLZSUmHSEj43LpcVlbGqlXLWbVqHZs2baWiotx6AFBcXMzSpa/wj39sqlar2Wxm2bJXMRp/+eFw7txZevSIYsOGLdY/Hh4eAHz55ec888xTGAxl1u2PHTvKhx9u4s033+Fvf9vEjh2fceHC+epfoB05deBfm8c2pIXccCXqRlEU1q5dyYQJscyePYMrV9Ks6955Zx0zZkyzrsvNzeGDDzaQna3nued+T0FBPrt3f82MGdOYOnUikyaN48SJY9U+49ixIyiKmVmz4utUk16fxdNPP8WMGdOIjb2P9977CwBffLGjypHo7NkzrD983nrrTSZMiOWhh37H1q0fAvD007OrHF1OmzaJH35I4uDBb7njjiH4+PjQsmUrevfuw7ffflOtDpPJRElJCSaTiYqKCnx8fDAajRw9eoQ777wLgHvvHcmePbsAGDVqDP373wpAp043kZmZAUBKyo8MHnw3ABERbQm50esBAAAQf0lEQVQKCuLkyRMAXLmSxpdffs7998dW+eyKigqWLXuVRx99/H9qMlNSYvl3XlZmwMfHcjf97t1f8dBD01CpVHTs2IlVq9ahKApms5mKinKMRiMGgwFv71/O7RUWFrB+/VtMmfKw9TU/Pz8+/ngHrVqFYDAYyMvLIzDQMk3qN9/spW3bG5kw4aFqf1ebN2+kb99+BAX9cjn4mTPJ5Ofn8eijU5gxYxpHjhwGLD849u/fx0svLa7yHrt3JxIb+zsCAgLQaDSsWrWOsLDGfQCkU1+WmZUnD01zNt+eSGf/8foNj6hUUJcD7NujW3NbVOvf3Gbv3l2kpPzIpk1bKSoqYtq0CQCkpV0mNfUif/nL31Cr1Sxa9CI7d37JlCnT2LbtE1asWENgYAu2bfuE5ctXExwczOefb+ODDzawfPmqKp/Rr98A+vUbYHOo6JqvvtrJ0KHDuffekRQXFxMbex8TJkysdfs9e3Zx4sQxNm78B0ajkVmzHuOuu4aycuWfa9z+66930rVrd+tySEgoen1Wte2eeeYFnnrqcfz9/Wndug133nkX+fn5+Pv74+np+at9MwEYMWKUdd/33vsLgwbdCUBkZCS7diXSseMTnD9/jgsXzpOTk4PRaGTp0ld49tk/snv3V1U++513/syoUfej01X9/qZPf4KZMx/h448/wmis5C9/+TsAaWlpHD16mJUrX8NkMvH440/SoUNH+vUbwPbtnzJ27AgMhjJmznwKX19LPixfvoQZM2aRlZVZ5TM8PT05ePBbFi16Ea1WS79+AwDLDzeg2nDOmTOn+eGH73njjbV8+unWX61RMXDgnUyZ8jDnz5/j2Wd/z8aNHxEcHMzixSusQz/XpKWl0aJFC55++ilyc3MYOXI048dPqPa92JNTB/6VrGI8PVTy0DRRZ0eOHOaOOwbj6elJy5YtGTDgNgDatr2B2bPnsGPHZ6SmXiI5+QQREW2r7KtWq1myZAXffvsNqamXOHLkMGo73N09adIUfvghiS1bPuDChZ8wGispKyurdfujRw8zZMhQvL298fb2ZsOGLYDlCD83N7fKtvHxT6MoCr++psGyXLXunJxs/vKXtXzwwUe0bt2GtWtXsXbtKuLiHq52QcSve1YUhXXr1nDq1AnefNMSjLNnP83q1cuJi3uQ7t2juOWWvnh5efK3v63njjuG0KFDxyrv9/3335GZmcGcOc9y6NChKutefXUhzz8/j4ED72Tv3l3Mm/cs77//D0wmI1lZWaxb9y4//XSOZ56ZzebNn7BrVyIeHh5s376TgoJ84uNn0q1bDy5c+ImwsDD69u1X4w/iW2+9jS++2MU776zj9deXVjsav8ZgMPDGG8tYtOi1at/9mDHjrP99881d6NatOydOHGXgwDtrfC+Tycjx40dZunQlRqORp56aQceOnbnllr41bm8PTh34BcUVhEvYO5Xbomwfhf8ve96Qo1Kpqvy2cG2M9cyZ07z00nwmTJjE4MF34eGhrjZuX1payvTpUxk27F569uxNp06d+eSTrVyvtWtXcfXqFYYOvYdBg+4kKekQinKt1l9qMJksT4X19PSsEuDp6VcJDm5Z6xH+0aM/kJ2dbV3Ozc3hxhvbVdnm2LGjdOzYyfpDbtSoMbz44h/5/e+fobi4GJPJhIeHBzk52YSEaAHLScpXX11IdraeN998h4AAy8UTBkMZc+cuQKOx3Bvz0EMPEBHRlnfffRsvL2/+/e/t5ObmAJYhlYsXL3DhwnmmTJlAaWkpubk5vPjiH5kz53lSUy9aA/POO+/i9deXkp+fT0hIKHffPQyVSkXnzjeh04WRmnqR/fv3MWbMeDw9PQkJCSUmZiDHjx/h0KHvyMnJZtq0SRQWFlBWVsabb77BtGmPcebMaetR/dCh97Bw4R9r/a6OHTtCXl4uL7zwNIB1uG/JkhWcOpVMVFRP69+hoijW34xqEhISQpcuXdFoLBnWv/+tnD6d3KiBX6fDkx07djBixAiGDRvG5s2bq60/ffo0sbGxDB8+nPnz52M0Gu1eaE2OpGTh4+XRJJ8lXEPfvv3YvfsrKioqKCws5L//PQhYjpp79+7DmDHjueGGGzlwYL/1lncPDw9MJhOXL6eiUqmIi3uEW27py759e+zyKICkpP8yadIUhgy5m9TUS+j1WZjNJoKCgrl06QKKonD16hXOnTsHQM+et7B3727rOPUzzzxV4xDNNQMGxLBv327rGPXhw9/Tt2+/Ktt07NiJU6eSrUG8f/8+unbthqenJz179mLXLssQTELCvxkwIAaAdevWUFpawsqVf7aGPcDHH3/EZ599AsB33x3AbDbRufPNbNnyCe+//yEbNmzh/vtjuf/+WCZNimPevIVs3vwxH3zwD+bOXUBkZFdeeWUpwcHBeHv7cOzYEQCOHz+Kn58/LVu2JCZmoLWmK1fSyMzM5MYb29O58818881ewHJC9vDhQ3Tp0o3Vq9/igw+2smHDFh57bCa33z6I+PhnUBSFV175ExkZlvMPe/Z8TXR0r1r/Lvv3v5WPP95hPSkbGqplxYo13Hhje86dO8uHH1pO8KamXuTs2RR69uxd63vFxAxi3749VFZWUl5uICnpeyIju9a6vT3YPMLPzMxk1apVfPrpp3h7ezNhwgT69+9P586drds899xzvPrqq/Tq1Yt58+axdetWJk2a1KiFm8zmOo3rCvFrAwfeyenTp4iLe5BWrUJo394yvHDXXcOYN+854uIeBCAysqt1zDUmZiDPPvt73njjTTp3vplJk8ajVqvo1+9Wjh8/WufP3r9/H/v3/4cXXvhTldcfemgaixa9iI+PDzpdOF26dOPq1av07duPf/97GxMnjqNdu3bWILrjjsGcOXOKRx6ZjNms8LvfTax2xP5r3br1YNiwETz2WBwmk5HHHpuJVmu5TX/atEm8/voa2rfvwPTpTxAfPxMPDw8iIm7g+efnA5ax/VdfXcjGjX9FpwvnpZcWk5eXx6efbqV16zbMmDHN+lkbNmxhypSHeemleSQk/BuNxp/Fi1c0aOhLpVKxePFyVq1aQUVFORqNhsWLXwPgiSdms3LlcutljnPnLiAgIIC4uEd4441lTJ48HrVazciR9//mEXNQUDDPPz+fuXP/AKho374Dzz03r961Ajz88GMsXfoKU6Y8gEqlYsGCl62/5dTkrruGkp6exsMPT8ZoNHLPPSOq/SC2N5Vi43qzf/3rX3z//fcsWbIEgHXrLGfDZ8+eDcCVK1eYOnUqX3/9NQBJSUm8+eabbNy4sc5F5OQUYzbXL73PXy3k1Y1JjIxpR+ygTvXa15lptYHo9UWOLqNeMjIuER5eeyDZ4irPWKmsrGTNmtd59tnahwyucZWe60N6rt3//htSq1WEhNT//iObR/hZWVlotVrrsk6n4/jx47Wu12q1ZGZWPQtuS0MKzyiwXIM/dEAHtNrAeu/vzJyt36wsNZ6e13dy83r3bw4uXLjEuHG/q3MvrtBzfUnPNVOr1Xb5d28z8M1mc5Wz9JYz/Ko6r6+Lhhzhhwf5sGXRvRhKyp3uiPd6OOMRvtlsvq4jN1c58uvQwTIMWpdeXKXn+pCea2c2m6v8u2/oEb7NHy3h4eHo9Xrrsl6vR6fT1bo+Ozu7yvrGFKiRB6YJIURd2Qz8mJgYDh48SG5uLmVlZSQmJjJo0CDr+oiICHx8fDh82HJX2bZt26qsFwKo16MJhBC/UBQzYJ+HQ9oM/LCwMObMmUNcXBxjxoxh5MiRREdHM336dE6csNwu/frrr7N06VLuueceSktLiYuLs0txwjV4enpTUlIooS9EPSiKgtFYSX5+Nt7e9nmagM2rdJpCQ8bwwTnHs6+XM/Z8vVMcqtXuN/Wd9OwebPVc2xSHjXaVjhDXy8PDk9DQ+t1d+2vO+EPueknP7qGpe3a/a6CEEMJNSeALIYSbaBZDOmp1w89AX8++zkp6dg/Ss3toSM8N/XtqFidthRBCND4Z0hFCCDchgS+EEG5CAl8IIdyEBL4QQrgJCXwhhHATEvhCCOEmJPCFEMJNSOALIYSbkMAXQgg34RSBv2PHDkaMGMGwYcPYvHlztfWnT58mNjaW4cOHM3/+fIxGowOqtC9bPX/99dfcf//9jB49mlmzZlFQUOCAKu3LVs/X7N27lyFDhjRhZY3HVs/nz59nypQpjB49mkcffdQtvufk5GTGjRvH6NGjefzxxyksLHRAlfZVXFzMyJEjSUtLq7auSfNLaeYyMjKUwYMHK3l5eUpJSYkyatQo5ezZs1W2ue+++5QjR44oiqIof/zjH5XNmzc7olS7sdVzUVGRcttttykZGRmKoijK6tWrlUWLFjmqXLuoy/esKIqi1+uVe+65Rxk8eLADqrQvWz2bzWZl2LBhyr59+xRFUZQVK1Yoy5cvd1S5dlGX73nixInK3r17FUVRlKVLlyorV650RKl2c/ToUWXkyJFK9+7dlcuXL1db35T51eyP8A8cOMCAAQMIDg5Go9EwfPhwEhISrOuvXLmCwWCgV69eAMTGxlZZ74xs9VxZWcnChQsJCwsDIDIykvT0dEeVaxe2er5mwYIFzJ492wEV2p+tnpOTk9FoNNYpQ2fOnMnkyZMdVa5d1OV7NpvNlJSUAFBWVoavr31me3KUrVu3snDhwhrn+m7q/Gr2gZ+VlYVWq7Uu63Q6MjMza12v1WqrrHdGtnpu2bIlQ4cOBcBgMLB+/XruvvvuJq/Tnmz1DLBx40a6detGz549m7q8RmGr59TUVEJDQ5k3bx5jx45l4cKFaDQaR5RqN3X5nl944QUWLFjA7bffzoEDB5gwYUJTl2lXixcvpm/fvjWua+r8avaBbzabq0ztpShKlWVb651RXXsqKipixowZdOnShbFjxzZliXZnq+eUlBQSExOZNWuWI8prFLZ6NhqNHDp0iIkTJ/Kvf/2LG264gWXLljmiVLux1bPBYGD+/Pls2LCB/fv3M2nSJObOneuIUptEU+dXsw/88PBw9Hq9dVmv11f51eh/12dnZ9f4q5MzsdUzWI4MJk2aRGRkJIsXL27qEu3OVs8JCQno9XrGjRvHjBkzrP07M1s9a7Va2rVrR1RUFAAjR47k+PHjTV6nPdnqOSUlBR8fH6KjowF48MEHOXToUJPX2VSaOr+afeDHxMRw8OBBcnNzKSsrIzEx0TqmCRAREYGPjw+HDx8GYNu2bVXWOyNbPZtMJmbOnMm9997L/Pnznf43GrDdc3x8PDt37mTbtm2sX78enU7Hli1bHFjx9bPVc+/evcnNzeXMmTMA7N69m+7duzuqXLuw1XO7du3IyMjg/PnzAOzatcv6A88VNXl+NdrpYDvavn27ct999ynDhg1T1q9fryiKojz22GPK8ePHFUVRlNOnTyvjxo1Thg8frjz99NNKeXm5I8u1i9/qOTExUYmMjFRGjx5t/TNv3jwHV3z9bH3P11y+fNklrtJRFNs9Hz16VBk3bpwyYsQI5ZFHHlGys7MdWa5d2Op57969yqhRo5SRI0cqU6dOVVJTUx1Zrt0MHjzYepWOo/JLZrwSQgg30eyHdIQQQtiHBL4QQrgJCXwhhHATEvhCCOEmJPCFEMJNSOALIYSbkMAXQgg3IYEvhBBu4v8BlcSpgo+NXrIAAAAASUVORK5CYII=\n",
"text/plain": "<matplotlib.figure.Figure at 0x11f5f9e80>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "res.conf_int()",
"execution_count": 15,
"outputs": [
{
"execution_count": 15,
"metadata": {},
"output_type": "execute_result",
"data": {
"text/plain": " 0 1\nRate -0.343700 -0.311486\nCost of Funds -0.185197 0.015863\nCompetition rate 0.820136 0.951582\nPrevious Rate 0.211109 0.242537\nln_amt -2.031669 -1.904136\nln_FICO 2.066809 2.253082\nLoan Type_U 1.951549 2.254005\nLoan Type_N 1.598507 1.932126",
"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>0</th>\n <th>1</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>Rate</th>\n <td>-0.343700</td>\n <td>-0.311486</td>\n </tr>\n <tr>\n <th>Cost of Funds</th>\n <td>-0.185197</td>\n <td>0.015863</td>\n </tr>\n <tr>\n <th>Competition rate</th>\n <td>0.820136</td>\n <td>0.951582</td>\n </tr>\n <tr>\n <th>Previous Rate</th>\n <td>0.211109</td>\n <td>0.242537</td>\n </tr>\n <tr>\n <th>ln_amt</th>\n <td>-2.031669</td>\n <td>-1.904136</td>\n </tr>\n <tr>\n <th>ln_FICO</th>\n <td>2.066809</td>\n <td>2.253082</td>\n </tr>\n <tr>\n <th>Loan Type_U</th>\n <td>1.951549</td>\n <td>2.254005</td>\n </tr>\n <tr>\n <th>Loan Type_N</th>\n <td>1.598507</td>\n <td>1.932126</td>\n </tr>\n </tbody>\n</table>\n</div>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "np.exp(res.params)",
"execution_count": 16,
"outputs": [
{
"execution_count": 16,
"metadata": {},
"output_type": "execute_result",
"data": {
"text/plain": "Rate 0.720656\nCost of Funds 0.918818\nCompetition rate 2.425066\nPrevious Rate 1.254608\nln_amt 0.139750\nln_FICO 8.670666\nLoan Type_U 8.188879\nLoan Type_N 5.843420\ndtype: float64"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true
},
"cell_type": "markdown",
"source": "# Co-linearity\n\nPer Phillips, notice that model change is sensitive to Rate.\n\nRate is determined by FICO and Amount:"
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "from statsmodels.formula.api import ols\ndata.columns",
"execution_count": 17,
"outputs": [
{
"execution_count": 17,
"metadata": {},
"output_type": "execute_result",
"data": {
"text/plain": "Index(['FICO', 'Amount', 'Previous Rate', 'Competition rate', 'Cost of Funds',\n 'Rate', 'y', 'ln_amt', 'ln_FICO', 'Tier_1.0', 'Tier_2.0', 'Tier_3.0',\n 'Tier_4.0', 'Term_36.0', 'Term_48.0', 'Term_60.0', 'Term_66.0',\n 'Term_72.0', 'Loan Type_N', 'Loan Type_R', 'Loan Type_U', 'Partner_1.0',\n 'Partner_2.0', 'Partner_3.0', 'fico_band_band_01', 'fico_band_band_02',\n 'fico_band_band_03', 'fico_band_band_04', 'fico_band_band_05',\n 'fico_band_band_06', 'fico_band_band_07', 'fico_band_band_08',\n 'fico_band_band_09', 'fico_band_band_10', 'month_3', 'month_4',\n 'month_5', 'month_6', 'month_7', 'month_8', 'month_9', 'month_10',\n 'month_11', 'day_1', 'day_2', 'day_3', 'day_4', 'day_5', 'day_6',\n 'day_7', 'day_8', 'day_9', 'day_10', 'day_11', 'day_12', 'day_13',\n 'day_14', 'day_15', 'day_16', 'day_17', 'day_18', 'day_19', 'day_20',\n 'day_21', 'day_22', 'day_23', 'day_24', 'day_25', 'day_26', 'day_27',\n 'day_28', 'day_29', 'day_30', 'day_31', 'year_2005'],\n dtype='object')"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "mod = ols(formula='Rate ~ ln_FICO + ln_amt', data=data)\nres = mod.fit()\nprint(res.summary())",
"execution_count": 18,
"outputs": [
{
"name": "stdout",
"text": " OLS Regression Results \n==============================================================================\nDep. Variable: Rate R-squared: 0.644\nModel: OLS Adj. R-squared: 0.644\nMethod: Least Squares F-statistic: 4.522e+04\nDate: Thu, 14 Feb 2019 Prob (F-statistic): 0.00\nTime: 12:40:04 Log-Likelihood: -81319.\nNo. Observations: 50000 AIC: 1.626e+05\nDf Residuals: 49997 BIC: 1.627e+05\nDf Model: 2 \nCovariance Type: nonrobust \n==============================================================================\n coef std err t P>|t| [0.025 0.975]\n------------------------------------------------------------------------------\nIntercept 175.7459 0.566 310.522 0.000 174.637 176.855\nln_FICO -25.5512 0.085 -299.592 0.000 -25.718 -25.384\nln_amt -0.1056 0.011 -9.515 0.000 -0.127 -0.084\n==============================================================================\nOmnibus: 716.347 Durbin-Watson: 1.870\nProb(Omnibus): 0.000 Jarque-Bera (JB): 902.729\nSkew: -0.217 Prob(JB): 9.44e-197\nKurtosis: 3.496 Cond. No. 1.25e+03\n==============================================================================\n\nWarnings:\n[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n[2] The condition number is large, 1.25e+03. This might indicate that there are\nstrong multicollinearity or other numerical problems.\n",
"output_type": "stream"
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "import statsmodels.api as sm\nfig = plt.figure(figsize=(12,8))\nfig = sm.graphics.plot_partregress_grid(res, fig=fig)",
"execution_count": 19,
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x11f67e3c8>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "fig = plt.figure(figsize=(12, 8))\nfig = sm.graphics.plot_ccpr_grid(res, fig=fig)",
"execution_count": 20,
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x11f67ed68>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "sns.relplot(x=\"Rate\", y=\"ln_FICO\", data=data);",
"execution_count": 21,
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x11cc8e860>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true
},
"cell_type": "markdown",
"source": "# Segmentation\n\nIt is not that useful to analyze the entire dataset in its entirety as pricing ought to relate to somekind of segmentation - i.e. if we want to maximize profit then we should exploit the occurence of varying price sensitivites across the population -- see Figure 6.1 (p.138)\n\nIn our analysis above, we do not see the expected drop-off of loan uptake with FICO rate. Per Phillips: \"Customers with higher FICO ... less likely to take a loan, **all else being equal** ...\" (p.123).\n\nAll else is not equal in a global analysis, so let's slice through the data by a specific loan size (range) - i.e. segment the data by \"product\"."
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "# Let's see the amount dist. so that we can focus on more likely amounts to get a better slice of data.\nsns.distplot(data['Amount'])",
"execution_count": 22,
"outputs": [
{
"execution_count": 22,
"metadata": {},
"output_type": "execute_result",
"data": {
"text/plain": "<matplotlib.axes._subplots.AxesSubplot at 0x11f10e940>"
}
},
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x11f64a0b8>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "price_range = (20000,22000)\nl_amount = price_range[0]\nh_amount = price_range[1]\ndata_segment = data[ (data['Amount'] < h_amount) & (data['Amount'] > l_amount)]\nmodel4_vars = [\"Rate\",\"Cost of Funds\",\"Competition rate\",\"Previous Rate\",\"ln_amt\",\"ln_FICO\",'Loan Type_U', 'Loan Type_N']\ny_pred, conf_matrix, log_loss, coef, logreg = utils.run_model(data_segment,model4_vars,logreg,segment=True)\ncoef",
"execution_count": 23,
"outputs": [
{
"name": "stdout",
"text": " precision recall f1-score support\n\n 0.0 0.73 0.93 0.82 373\n 1.0 0.62 0.26 0.36 171\n\n micro avg 0.72 0.72 0.72 544\n macro avg 0.68 0.59 0.59 544\nweighted avg 0.70 0.72 0.68 544\n\n",
"output_type": "stream"
},
{
"execution_count": 23,
"metadata": {},
"output_type": "execute_result",
"data": {
"text/plain": "{'Competition rate': 1.1052895653400876,\n 'Cost of Funds': -0.15012863988624647,\n 'Loan Type_N': 2.5766738494220616,\n 'Loan Type_U': 2.083051031966338,\n 'Previous Rate': 0.2310401034947925,\n 'Rate': -0.3521795307213558,\n 'intercept': 0.08219921743843699,\n 'ln_FICO': -1.1016549852053255,\n 'ln_amt': 0.11689928444351984}"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "# Let's go over some bands\nmodel4_vars = [\"Rate\",\"Cost of Funds\",\"Competition rate\",\"Previous Rate\",\"ln_amt\",\"ln_FICO\",'Loan Type_U', 'Loan Type_N']\nresults = []\nprice_interval = 2000\n\nfor base_price in range(10000,50000,price_interval):\n l_amount = base_price\n h_amount = base_price + price_interval\n data_segment = data[ (data['Amount'] < h_amount) & (data['Amount'] > l_amount)]\n y_pred, conf_matrix, score, coef, logreg = utils.run_model(data_segment,model4_vars,logreg,\n segment=True, print_report=False)\n coef['price'] = base_price\n results.append(coef)\n print(\"Accuracy {} for {} samples at price {}\".format(score,len(y_pred),base_price))\n ",
"execution_count": 24,
"outputs": [
{
"name": "stdout",
"text": "Accuracy 0.683991683991684 for 481 samples at price 10000\nAccuracy 0.6948051948051948 for 616 samples at price 12000\nAccuracy 0.6942823803967327 for 857 samples at price 14000\nAccuracy 0.6579310344827586 for 725 samples at price 16000\nAccuracy 0.6451104100946372 for 634 samples at price 18000\nAccuracy 0.7169117647058824 for 544 samples at price 20000\nAccuracy 0.7677902621722846 for 534 samples at price 22000\nAccuracy 0.8479763079960513 for 1013 samples at price 24000\nAccuracy 0.7378435517970402 for 473 samples at price 26000\nAccuracy 0.7994428969359332 for 359 samples at price 28000\nAccuracy 0.8129251700680272 for 294 samples at price 30000\nAccuracy 0.8448275862068966 for 290 samples at price 32000\nAccuracy 0.9320987654320988 for 648 samples at price 34000\nAccuracy 0.8936170212765957 for 188 samples at price 36000\nAccuracy 0.8153846153846154 for 130 samples at price 38000\nAccuracy 0.8309859154929577 for 71 samples at price 40000\nAccuracy 0.922077922077922 for 77 samples at price 42000\nAccuracy 0.9537366548042705 for 281 samples at price 44000\nAccuracy 0.8292682926829268 for 41 samples at price 46000\nAccuracy 0.9459459459459459 for 37 samples at price 48000\n",
"output_type": "stream"
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "df_1 = pd.DataFrame(results)",
"execution_count": 25,
"outputs": []
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "# let's plot rate coef against price\nsns.regplot(x=\"price\", y=\"Rate\", data=df_1)",
"execution_count": 26,
"outputs": [
{
"execution_count": 26,
"metadata": {},
"output_type": "execute_result",
"data": {
"text/plain": "<matplotlib.axes._subplots.AxesSubplot at 0x11f4b0160>"
}
},
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x11f4c7ba8>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "df_1",
"execution_count": 27,
"outputs": [
{
"execution_count": 27,
"metadata": {},
"output_type": "execute_result",
"data": {
"text/plain": " Competition rate Cost of Funds Loan Type_N Loan Type_U Previous Rate \\\n0 0.480581 -0.064002 1.848362 2.488648 0.171801 \n1 0.593489 0.220360 2.968401 3.249841 0.242632 \n2 0.880883 0.047237 2.177491 2.323192 0.226294 \n3 0.896981 -0.235958 2.811114 2.592827 0.246948 \n4 0.880342 0.043827 2.331351 2.027886 0.203407 \n5 1.105290 -0.150129 2.576674 2.083051 0.231040 \n6 0.864383 -0.173952 1.907732 1.936525 0.251858 \n7 0.906732 -0.387182 1.125867 1.422991 0.243132 \n8 0.780869 -0.290901 1.778657 1.940906 0.277157 \n9 0.551668 -0.399055 1.322266 1.625310 0.216916 \n10 0.857897 -0.003241 1.185111 1.451676 0.200036 \n11 0.622303 0.556257 0.832195 1.108332 0.199915 \n12 1.168785 -0.933626 0.694042 0.861912 0.267155 \n13 0.686237 -0.347593 0.714586 0.386472 0.225114 \n14 0.624423 0.002039 0.750601 0.536713 0.191601 \n15 0.425450 -0.036497 -0.570395 0.232381 -0.024772 \n16 -0.000993 -0.365864 -0.270927 0.578970 0.234748 \n17 0.357713 -0.576401 -0.923073 0.671267 0.254280 \n18 0.768285 0.072296 -0.331754 0.865741 0.213521 \n19 -0.404663 0.139275 -0.231176 0.836003 0.225443 \n\n Rate intercept ln_FICO ln_amt price \n0 -0.431424 0.191306 -0.570494 0.285389 10000 \n1 -0.463109 0.270841 -0.838763 0.261734 12000 \n2 -0.411287 0.182139 -1.402416 0.480840 14000 \n3 -0.363648 0.234369 -0.302274 -0.311084 16000 \n4 -0.397710 0.209788 -1.221503 0.347785 18000 \n5 -0.352180 0.082199 -1.101655 0.116899 20000 \n6 -0.442786 0.047483 -1.029344 0.239446 22000 \n7 -0.391906 0.099747 -1.563414 0.551977 24000 \n8 -0.364164 -0.001155 -0.200999 -0.311993 26000 \n9 -0.304685 0.027403 -0.247652 -0.159721 28000 \n10 -0.322584 -0.004650 -0.598584 -0.112277 30000 \n11 -0.276390 -0.013502 -0.672030 -0.067927 32000 \n12 -0.371983 -0.003094 -0.911994 0.025537 34000 \n13 -0.271276 -0.017328 -0.450705 -0.104303 36000 \n14 -0.240044 -0.003944 -0.521389 -0.101847 38000 \n15 -0.342744 0.002979 -0.358109 0.084726 40000 \n16 -0.277701 -0.002556 -0.052910 0.029661 42000 \n17 -0.017161 -0.019632 -0.225137 -0.249115 44000 \n18 -0.413274 -0.015906 -0.253585 -0.180636 46000 \n19 -0.150520 0.021094 -0.170269 0.196566 48000 ",
"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>Competition rate</th>\n <th>Cost of Funds</th>\n <th>Loan Type_N</th>\n <th>Loan Type_U</th>\n <th>Previous Rate</th>\n <th>Rate</th>\n <th>intercept</th>\n <th>ln_FICO</th>\n <th>ln_amt</th>\n <th>price</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>0.480581</td>\n <td>-0.064002</td>\n <td>1.848362</td>\n <td>2.488648</td>\n <td>0.171801</td>\n <td>-0.431424</td>\n <td>0.191306</td>\n <td>-0.570494</td>\n <td>0.285389</td>\n <td>10000</td>\n </tr>\n <tr>\n <th>1</th>\n <td>0.593489</td>\n <td>0.220360</td>\n <td>2.968401</td>\n <td>3.249841</td>\n <td>0.242632</td>\n <td>-0.463109</td>\n <td>0.270841</td>\n <td>-0.838763</td>\n <td>0.261734</td>\n <td>12000</td>\n </tr>\n <tr>\n <th>2</th>\n <td>0.880883</td>\n <td>0.047237</td>\n <td>2.177491</td>\n <td>2.323192</td>\n <td>0.226294</td>\n <td>-0.411287</td>\n <td>0.182139</td>\n <td>-1.402416</td>\n <td>0.480840</td>\n <td>14000</td>\n </tr>\n <tr>\n <th>3</th>\n <td>0.896981</td>\n <td>-0.235958</td>\n <td>2.811114</td>\n <td>2.592827</td>\n <td>0.246948</td>\n <td>-0.363648</td>\n <td>0.234369</td>\n <td>-0.302274</td>\n <td>-0.311084</td>\n <td>16000</td>\n </tr>\n <tr>\n <th>4</th>\n <td>0.880342</td>\n <td>0.043827</td>\n <td>2.331351</td>\n <td>2.027886</td>\n <td>0.203407</td>\n <td>-0.397710</td>\n <td>0.209788</td>\n <td>-1.221503</td>\n <td>0.347785</td>\n <td>18000</td>\n </tr>\n <tr>\n <th>5</th>\n <td>1.105290</td>\n <td>-0.150129</td>\n <td>2.576674</td>\n <td>2.083051</td>\n <td>0.231040</td>\n <td>-0.352180</td>\n <td>0.082199</td>\n <td>-1.101655</td>\n <td>0.116899</td>\n <td>20000</td>\n </tr>\n <tr>\n <th>6</th>\n <td>0.864383</td>\n <td>-0.173952</td>\n <td>1.907732</td>\n <td>1.936525</td>\n <td>0.251858</td>\n <td>-0.442786</td>\n <td>0.047483</td>\n <td>-1.029344</td>\n <td>0.239446</td>\n <td>22000</td>\n </tr>\n <tr>\n <th>7</th>\n <td>0.906732</td>\n <td>-0.387182</td>\n <td>1.125867</td>\n <td>1.422991</td>\n <td>0.243132</td>\n <td>-0.391906</td>\n <td>0.099747</td>\n <td>-1.563414</td>\n <td>0.551977</td>\n <td>24000</td>\n </tr>\n <tr>\n <th>8</th>\n <td>0.780869</td>\n <td>-0.290901</td>\n <td>1.778657</td>\n <td>1.940906</td>\n <td>0.277157</td>\n <td>-0.364164</td>\n <td>-0.001155</td>\n <td>-0.200999</td>\n <td>-0.311993</td>\n <td>26000</td>\n </tr>\n <tr>\n <th>9</th>\n <td>0.551668</td>\n <td>-0.399055</td>\n <td>1.322266</td>\n <td>1.625310</td>\n <td>0.216916</td>\n <td>-0.304685</td>\n <td>0.027403</td>\n <td>-0.247652</td>\n <td>-0.159721</td>\n <td>28000</td>\n </tr>\n <tr>\n <th>10</th>\n <td>0.857897</td>\n <td>-0.003241</td>\n <td>1.185111</td>\n <td>1.451676</td>\n <td>0.200036</td>\n <td>-0.322584</td>\n <td>-0.004650</td>\n <td>-0.598584</td>\n <td>-0.112277</td>\n <td>30000</td>\n </tr>\n <tr>\n <th>11</th>\n <td>0.622303</td>\n <td>0.556257</td>\n <td>0.832195</td>\n <td>1.108332</td>\n <td>0.199915</td>\n <td>-0.276390</td>\n <td>-0.013502</td>\n <td>-0.672030</td>\n <td>-0.067927</td>\n <td>32000</td>\n </tr>\n <tr>\n <th>12</th>\n <td>1.168785</td>\n <td>-0.933626</td>\n <td>0.694042</td>\n <td>0.861912</td>\n <td>0.267155</td>\n <td>-0.371983</td>\n <td>-0.003094</td>\n <td>-0.911994</td>\n <td>0.025537</td>\n <td>34000</td>\n </tr>\n <tr>\n <th>13</th>\n <td>0.686237</td>\n <td>-0.347593</td>\n <td>0.714586</td>\n <td>0.386472</td>\n <td>0.225114</td>\n <td>-0.271276</td>\n <td>-0.017328</td>\n <td>-0.450705</td>\n <td>-0.104303</td>\n <td>36000</td>\n </tr>\n <tr>\n <th>14</th>\n <td>0.624423</td>\n <td>0.002039</td>\n <td>0.750601</td>\n <td>0.536713</td>\n <td>0.191601</td>\n <td>-0.240044</td>\n <td>-0.003944</td>\n <td>-0.521389</td>\n <td>-0.101847</td>\n <td>38000</td>\n </tr>\n <tr>\n <th>15</th>\n <td>0.425450</td>\n <td>-0.036497</td>\n <td>-0.570395</td>\n <td>0.232381</td>\n <td>-0.024772</td>\n <td>-0.342744</td>\n <td>0.002979</td>\n <td>-0.358109</td>\n <td>0.084726</td>\n <td>40000</td>\n </tr>\n <tr>\n <th>16</th>\n <td>-0.000993</td>\n <td>-0.365864</td>\n <td>-0.270927</td>\n <td>0.578970</td>\n <td>0.234748</td>\n <td>-0.277701</td>\n <td>-0.002556</td>\n <td>-0.052910</td>\n <td>0.029661</td>\n <td>42000</td>\n </tr>\n <tr>\n <th>17</th>\n <td>0.357713</td>\n <td>-0.576401</td>\n <td>-0.923073</td>\n <td>0.671267</td>\n <td>0.254280</td>\n <td>-0.017161</td>\n <td>-0.019632</td>\n <td>-0.225137</td>\n <td>-0.249115</td>\n <td>44000</td>\n </tr>\n <tr>\n <th>18</th>\n <td>0.768285</td>\n <td>0.072296</td>\n <td>-0.331754</td>\n <td>0.865741</td>\n <td>0.213521</td>\n <td>-0.413274</td>\n <td>-0.015906</td>\n <td>-0.253585</td>\n <td>-0.180636</td>\n <td>46000</td>\n </tr>\n <tr>\n <th>19</th>\n <td>-0.404663</td>\n <td>0.139275</td>\n <td>-0.231176</td>\n <td>0.836003</td>\n <td>0.225443</td>\n <td>-0.150520</td>\n <td>0.021094</td>\n <td>-0.170269</td>\n <td>0.196566</td>\n <td>48000</td>\n </tr>\n </tbody>\n</table>\n</div>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "# Let's segment on the 24000 band\nmodel4_vars = [\"Rate\",\"Cost of Funds\",\"Competition rate\",\"Previous Rate\",\"ln_amt\",\"ln_FICO\",'Loan Type_U', 'Loan Type_N']\nresults = []\nbase_price = 15000\nprice_interval = 4000\nl_amount = base_price\nh_amount = base_price + price_interval\ndata_base_segment = data[ (data['Amount'] < h_amount) & (data['Amount'] > l_amount)]\n",
"execution_count": 28,
"outputs": []
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "fico_bands = utils.make_bands()\nresults = []\nfor band,fico_range in fico_bands.items():\n data_segment = data_base_segment[data_base_segment['fico_band_{}'.format(band)]==1]\n if data_segment.shape[0] > 50:\n y_pred, conf_matrix, score, coef, logreg = utils.run_model(data_segment,model4_vars,logreg,\n segment=True, print_report=False)\n fico_median = (fico_range[0]+fico_range[1])/2\n coef['fico'] = fico_median\n results.append(coef)\n print(\"Accuracy {} for {} samples at FICO {} - fico:{}\".format(score,len(y_pred),band,fico_median))",
"execution_count": 30,
"outputs": [
{
"name": "stdout",
"text": "Accuracy 0.5678391959798995 for 199 samples at FICO band_07 - fico:769.0\nAccuracy 0.562992125984252 for 254 samples at FICO band_06 - fico:743.0\nAccuracy 0.6666666666666666 for 54 samples at FICO band_09 - fico:821.0\nAccuracy 0.7661290322580645 for 248 samples at FICO band_03 - fico:665.0\nAccuracy 0.6808510638297872 for 94 samples at FICO band_02 - fico:639.0\nAccuracy 0.7323420074349443 for 269 samples at FICO band_05 - fico:717.0\nAccuracy 0.7222222222222222 for 270 samples at FICO band_04 - fico:691.0\nAccuracy 0.5185185185185185 for 108 samples at FICO band_08 - fico:795.0\n",
"output_type": "stream"
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "df_2 = pd.DataFrame(results)",
"execution_count": 31,
"outputs": []
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "# let's plot rate coef against price\nsns.regplot(x=\"fico\", y=\"Rate\", data=df_2)",
"execution_count": 32,
"outputs": [
{
"execution_count": 32,
"metadata": {},
"output_type": "execute_result",
"data": {
"text/plain": "<matplotlib.axes._subplots.AxesSubplot at 0x11fb81710>"
}
},
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x11fb94d68>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "df_2",
"execution_count": 33,
"outputs": [
{
"execution_count": 33,
"metadata": {},
"output_type": "execute_result",
"data": {
"text/plain": " Competition rate Cost of Funds Loan Type_N Loan Type_U Previous Rate \\\n0 0.738031 0.319798 1.776903 1.253011 0.110115 \n1 1.460869 -0.475490 2.914059 1.745363 0.206176 \n2 0.152430 -1.097661 0.705797 0.521144 -0.035460 \n3 0.733677 0.839269 0.830529 1.880677 0.188813 \n4 0.637397 1.087714 0.516988 1.689189 0.197007 \n5 1.271615 -0.358161 1.850065 2.316986 0.222137 \n6 1.270527 -0.404198 1.384102 2.139065 0.173803 \n7 0.917756 0.575641 1.180732 0.727025 0.034410 \n\n Rate fico intercept ln_FICO ln_amt \n0 -0.541408 769.0 -0.051861 -0.429986 0.006069 \n1 -0.905427 743.0 0.083046 0.454316 -0.736025 \n2 -0.565063 821.0 0.057364 0.329309 0.108626 \n3 -0.334893 665.0 0.069137 0.362197 -0.737080 \n4 -0.214656 639.0 -0.009050 -0.140818 -0.450349 \n5 -0.741945 717.0 0.019475 -0.081025 -0.349620 \n6 -0.525168 691.0 0.054301 0.199101 -0.618087 \n7 -1.011297 795.0 0.074285 0.353851 -0.393432 ",
"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>Competition rate</th>\n <th>Cost of Funds</th>\n <th>Loan Type_N</th>\n <th>Loan Type_U</th>\n <th>Previous Rate</th>\n <th>Rate</th>\n <th>fico</th>\n <th>intercept</th>\n <th>ln_FICO</th>\n <th>ln_amt</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>0.738031</td>\n <td>0.319798</td>\n <td>1.776903</td>\n <td>1.253011</td>\n <td>0.110115</td>\n <td>-0.541408</td>\n <td>769.0</td>\n <td>-0.051861</td>\n <td>-0.429986</td>\n <td>0.006069</td>\n </tr>\n <tr>\n <th>1</th>\n <td>1.460869</td>\n <td>-0.475490</td>\n <td>2.914059</td>\n <td>1.745363</td>\n <td>0.206176</td>\n <td>-0.905427</td>\n <td>743.0</td>\n <td>0.083046</td>\n <td>0.454316</td>\n <td>-0.736025</td>\n </tr>\n <tr>\n <th>2</th>\n <td>0.152430</td>\n <td>-1.097661</td>\n <td>0.705797</td>\n <td>0.521144</td>\n <td>-0.035460</td>\n <td>-0.565063</td>\n <td>821.0</td>\n <td>0.057364</td>\n <td>0.329309</td>\n <td>0.108626</td>\n </tr>\n <tr>\n <th>3</th>\n <td>0.733677</td>\n <td>0.839269</td>\n <td>0.830529</td>\n <td>1.880677</td>\n <td>0.188813</td>\n <td>-0.334893</td>\n <td>665.0</td>\n <td>0.069137</td>\n <td>0.362197</td>\n <td>-0.737080</td>\n </tr>\n <tr>\n <th>4</th>\n <td>0.637397</td>\n <td>1.087714</td>\n <td>0.516988</td>\n <td>1.689189</td>\n <td>0.197007</td>\n <td>-0.214656</td>\n <td>639.0</td>\n <td>-0.009050</td>\n <td>-0.140818</td>\n <td>-0.450349</td>\n </tr>\n <tr>\n <th>5</th>\n <td>1.271615</td>\n <td>-0.358161</td>\n <td>1.850065</td>\n <td>2.316986</td>\n <td>0.222137</td>\n <td>-0.741945</td>\n <td>717.0</td>\n <td>0.019475</td>\n <td>-0.081025</td>\n <td>-0.349620</td>\n </tr>\n <tr>\n <th>6</th>\n <td>1.270527</td>\n <td>-0.404198</td>\n <td>1.384102</td>\n <td>2.139065</td>\n <td>0.173803</td>\n <td>-0.525168</td>\n <td>691.0</td>\n <td>0.054301</td>\n <td>0.199101</td>\n <td>-0.618087</td>\n </tr>\n <tr>\n <th>7</th>\n <td>0.917756</td>\n <td>0.575641</td>\n <td>1.180732</td>\n <td>0.727025</td>\n <td>0.034410</td>\n <td>-1.011297</td>\n <td>795.0</td>\n <td>0.074285</td>\n <td>0.353851</td>\n <td>-0.393432</td>\n </tr>\n </tbody>\n</table>\n</div>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true
},
"cell_type": "markdown",
"source": "# Price Sensitivity\n\nLet's peek into some of the segments (FICO band, price range) in more detail."
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "dc1 = utils.plot_demand_curve(data,'band_03',base_price=15000,price_interval=4000,model=model4_vars)\ndc2 = utils.plot_demand_curve(data,'band_05',base_price=15000,price_interval=4000,model=model4_vars)\ndc3 = utils.plot_demand_curve(data,'band_07',base_price=15000,price_interval=4000,model=model4_vars)",
"execution_count": 35,
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"data": {
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\n",
"text/plain": "<matplotlib.figure.Figure at 0x11f585b38>"
}
},
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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lJvDzq4eFjDewJN3BJQXSKBGBXfD29H4oLKvHO58loexOrdiRiJSGhUsaJ9jPBdPC7FF4u4rH6pJOYeGSRuruZIoPXwpG2d06vPtZEkrKWLqk/Vi4pLF6drXFh7ODUFFVh3c+O4bi0mqxIxG1CwuXNJqnmy0+nB2MypoGvPd5Em5XcKZL2ouFSxqvR+cO+NusQFRU1mHh58kov1sndiSix8LCJa3g6WaLRS8GorisBn/9Ipm37iGtxMIlreHT3R4LX+iPa8WVWLzxBGrreXdg0i4sXNIqfTzlePPpvsjKK8XH36WiiacBkxZh4ZLWGeTfEXPG++G3C0VY+/1ZXvCGtAZP7SWtFBncFWV36rBtfzbktjJMDfcUOxLRI7FwSWtNi/BEcVk1tuzLgqOtGYY+0VnsSEQPxcIlrSWRSDBvUm/cKq/BP7efgb2NGfzcHcSORfRAXMMlrWZsZIB3nu8PZ3tzLP/3byi8VSV2JKIHYuGS1rMwM8ZfZwQCAD786jiqaxtETkT051i4pBOc7c2x4Ll+uFFShZWb0tDUzCMXSPOwcEln+Lk7YPY4X6RmFmHLviyx4xDdR6WFu2fPHkRGRiI8PBybN2++7/Xz589jwoQJGD16NGbPno07d+6oMg7pgZHBXRE+wA3bD+Qg5Vyh2HGIWlFZ4RYVFWH16tXYsmUL4uLiEBsbi9zc3FbbLF26FPPnz8fu3bvRtWtXbNy4UVVxSI/MHucLD1cbrN56CteK74odh6iFygo3OTkZgYGBsLGxgUwmQ0REBOLj41tt09zcjKqqez9VrqmpgampqarikB4xMTbEO8/1h7GRAZZ9cxK1dbzmAmkGlRVucXExHBz+e0ykXC5HUVFRq20WLFiAhQsXYtCgQUhOTsaUKVNUFYf0jEMHM/zlmQBcK67Euh/SefovaQSVnfjQ3NwMiUTS8lgQhFaPa2tr8d577+Gbb76Bn58fvv76a7z99ttYv369wvvIyMhoc660tLQ2v0fT6eKYAOWMK8TbEompBbAwrETf7uZKSNU+uvi90tcxBQQEtPlzVVa4Tk5OSE1NbXlcUlICuVze8jgnJwdSqRR+fn4AgMmTJ+OTTz5p0z58fHwglUoV3j4tLe2xfpM0mS6OCVDeuHr3EVC+PhnxaaUYPsgfXV2slZDu8eji94pjahuVLSkEBwcjJSUFpaWlqKmpQUJCAkJCQlped3Nzw82bN3H58mUAwMGDB+Hr66uqOKSnDA0kePPpAJibGWPlplReQ5dEpbLCdXR0RExMDKZPn46xY8ciKioKfn5+mDVrFs6dOwdra2t89NFHeP311xEdHY2dO3di2bJlqopDeqyDpSlipvZFQVElvtp9Xuw4pMdUevGa6OhoREdHt3puw4YNLV+HhoYiNDRUlRGIANy7cPn4MHf8cDgXfTwdEOTrInYk0kM804z0xjMje8Ld1Qafxp7h3X9JFCxc0hvGRgb4y9MBaGhqxifbTvNQMVI7Fi7pFRcHC7wY7Y3TOSX4JemK2HFIz7BwSe88GdQFAV5yfPXTBZ76S2rFwiW9I5FIMH9yH0iNDfCPLad4519SGxYu6SVbK1O8PN4fFwvK8eORS2LHIT3BwiW9Nai3C4L9nLE5Pgv5N3lpUFI9Fi7pLYlEgpfH+8NMaoRPYk9zaYFUjoVLes3GUoqXx/shJ78ccVxaIBVj4ZLeG9TbBUG+ztiyLws3blWKHYd0GAuX9J5EIsHscb4wMjLAv74/yxMiSGVYuEQA7KzN8EKUN9Jzb2H/yXyx45COYuES/Uf4ADf4dLfDV7szUHanVuw4pINYuET/YWAgwbxJvVHX0Iwvd7f9biJEj8LCJfqDjg4WmDTMA7+evo5T2cVixyEdw8Il+h8Th3rAxd4cn+9MR11Dk9hxSIewcIn+h4mxIV6Z4I/C21X4/kCO2HFIh7Bwif6Efw8HhPXthJ2HcnGjhMfmknKwcIke4IVobxgbGeCLuHM8NpeUgoVL9AC2VqZ4+kkvnMoqxvGMm2LHIR3AwiV6iKiBXeHmZIkvd53jLdap3Vi4RA9haGiAOeP9UFxWgx2JF8WOQ1qOhUv0CD7d7RHSuyN+PJSLotJqseOQFmPhEing+ShvQCLB13vOix2FtBgLl0gBDh3MMGmYB5LSbyA9t0TsOKSlWLhEChoX5g55BzNsiMvg3SHosbBwiRQkNTbEjGgfXC28w0s40mNh4RK1QbCfM7y72WFzfBaqaxvEjkNahoVL1AYSiQQvjvZGeWUdvj/Iw8SobVi4RG3k4doBQ59wxa5fL/EwMWoTFi7RY3h2ZE9IJBJ88xMPEyPFsXCJHoO9jRnGh7nj2NkbyM4rFTsOaQkWLtFjGhfWHTaWUny15zyvJkYKYeESPSaZqTGmhXviwpVSXk2MFMLCJWqH8AFu6CS3wL9/Po9GngxBj8DCJWoHQ0MDPD+qF66XVCHhRJ7YcUjDsXCJ2qm/txN6dbXF1oRs1NTxmrn0YCxconaSSCR4fpQ3yu/WYfevl8SOQxqMhUukBD272iLQxwk7D+WiorJO7DikoVi4REoyPbIX6uobsf0gb61Of46FS6Qkro6WGNavM35JuopinvJLf4KFS6RE0yK8IJEAWxOyxY5CGoiFS6RE9jZmGDWwKxJT81FQdFfsOKRhWLhESjZxqAekJobYFJ8pdhTSMCxcIiWztpBibKg7ktMLcbGgTOw4pEFYuEQqMDa0OyxlJvjuF85y6b9YuEQqIDM1xqRhHjidU4KMS7fEjkMagoVLpCIjg7vA1kqKTfFZvHwjAWDhEqmMqYkRnhrWA+cv38aZnBKx45AGYOESqVB4oBscOpjhu72ZnOWSagt3z549iIyMRHh4ODZv3nzf65cvX8azzz6L0aNH48UXX0RFRYUq4xCpnbGRIaaM8MTFgnJkX68VOw6JTGWFW1RUhNWrV2PLli2Ii4tDbGwscnNzW14XBAEvv/wyZs2ahd27d6Nnz55Yv369quIQiWbYE65wtjfHofQ7aG7mLFefqaxwk5OTERgYCBsbG8hkMkRERCA+Pr7l9fPnz0MmkyEkJAQAMGfOHDz99NOqikMkGkNDA0wZ4Ymi8gYczygUOw6JyOhhL8bFxT30zWPHjn3ga8XFxXBwcGh5LJfLkZ6e3vI4Pz8f9vb2ePfdd5GZmYlu3brhr3/9q6K5AQAZGRlt2h4A0tLS2vweTaeLYwJ0a1wWggA7KyNsjDsN4/obMJBIxI6kNLr0ffqdImMKCAho8+c+tHB/n5GWlJTg8uXLCAwMhJGREU6cOIGePXs+tHCbm5sh+cMfKkEQWj1ubGzEyZMnsWnTJvj6+mLNmjVYvnw5li9frnB4Hx8fSKVShbdPS0t7rN8kTaaLYwJ0c1wX8o9iZ3Ipao2cMbh3R7HjKIUufp9UOaaHLil8/vnn+Pzzz2FnZ4ddu3Zh3bp1+Oc//4m4uDgYGT20q+Hk5ISSkv8eClNSUgK5XN7y2MHBAW5ubvD19QUAREVFtZoBE+ka785mcHW0xNaELDRxLVcvKbSGW1hYiM6dO7c8dnFxwc2bD78tdHBwMFJSUlBaWoqamhokJCS0rNcCQJ8+fVBaWoqsrCwAQGJiIry9vR9nDERawcBAgmkRnigoqsSxM9fFjkMiePg09T8cHBzw6aefYty4cQCA2NhYuLq6PvQ9jo6OiImJwfTp09HQ0ICJEyfCz88Ps2bNwvz58+Hr64t//etfWLhwIWpqauDk5ISPP/64/SMi0mDBvi7o7GSJbfuzMah3Rxga6M5aLj2aQoW7fPlyLF68GGPGjIFEIkFISAiWLVv2yPdFR0cjOjq61XMbNmxo+drf3x87duxoY2Qi7WVgIMHUcE+s+DYVR89cR1jfTmJHIjVSqHDlcjnWrl2r6ixEeiHY1wVuTpbYlpCNwZzl6hWFCvf06dP4xz/+gYqKilanJ+7Zs0dlwYh01b1ZrheWf/sbjp6+hrCAhy/Pke5QqHAXLVqE8ePHo1evXq0O7SKixxPk64wuzlbYtj8Hg/t04ixXTyhUuEZGRnjhhRdUnYVIbxgYSDB5RA+s+DYVx85cRyjXcvWCQoeFeXh4IDubdyElUqbfj1iIPZDN43L1hEIz3IKCAkyYMAEuLi6tzuziGi7R4zMwkGDKcE98vCkVyWdvYHAf3Tj7jB5MocKNiYlRdQ4ivRTs7wLX/RbYdiAbA/1dYMC1XJ2m0JJC//790aNHD7i6uqJTp05wdnZGQ0ODqrMR6TxDAwkmD/dE/s27SD53Q+w4pGIKzXA/+eSTlmvVGhoaoqGhAe7u7lxSIFKCQb07YmtCNmL35yDYl7NcXabQDHfXrl04dOgQIiIikJCQgI8++gju7u6qzkakFwz/c8TC1cI7OHH+4dcoIe2mUOHa2tpCLpejW7duyMrKwtixY5GTk6PqbER6I6R3Rzjbm2Pb/mze+0yHKVS4RkZGyM/PR7du3ZCamorGxkbU1dWpOhuR3jA0NMBTw3rg8vUK/JZZJHYcUhGFCnf27Nn461//irCwMCQkJCAsLAwDBgxQdTYivRIW0AlOdjJsS+AsV1cp9EOzIUOGYMiQIQDurefm5eXBy8tLpcGI9I2RoQEmDu2Btd+fwansYgR4OYodiZRMocItKSnBjz/+iPLy8pbndu/ejbfeektlwYj00dAnXBF7IBvbErLR11POa5foGIWWFF5++WWkp6dDEIRWv4hIuYyNDDBxqAey8sqQfvGW2HFIyRSa4TY0NPB6uERqMrxfZ8Tuz8G2A9nw7+Hw6DeQ1lBohuvt7c3DwIjUxMTYEBOGuCPj0m1kXOIsV5coNMPt27cvxo4dCwcHh1Z36z148KDKghHps/BAN3yfeBGx+3Pg091e7DikJAoV7saNG7Fq1apWd+4lItUxNTHCuNDu+PqnC8jKK4WXm63YkUgJFCpcKysrREZGqjoLEf3ByOCu2JGYi9j9OXh/ZqDYcUgJFCrcwMBArFixAuHh4TAxMWl53tvbW2XBiPSdmdQIY0O747u9mcgtKIe7q43YkaidFCrc368Ktm/fvpbnJBIJ13CJVCxqUFf8cDgXsQey8d4LPLtT2ylUuImJiarOQUR/QmZqjNGDu2FrQjau3KhAVxdrsSNROyh0WFhVVRUWL16M5557DuXl5Vi0aBGqqqpUnY2IAIwe3A1mUiNsP8BDM7WdQoW7ZMkSWFpa4vbt25BKpaisrMSiRYtUnY2IAFjITBA1qCuS0m+goOiu2HGoHRQq3MzMTMTExMDIyAhmZmZYtWoVMjMzVZ2NiP5jTEh3mBgbYvtBznK1mUKFa2DQerOmpqb7niMi1bG2kGJkUBf8euoabtyqFDsOPSaFWrNfv35YuXIlamtrcfToUcybNw/9+/dXdTYi+oPxYe4wMjTAjoMXxY5Cj0mhwv2///s/yGQyWFpaYs2aNfDy8sKCBQtUnY2I/qCDlSnCA92QmFqAotJqsePQY3joYWHPPvtsq+txmpqaAgBOnz6NmTNn4ttvv1VtOiJqZcIQD8Sn5GFn4kW8MtFf7DjURg8t3GeeeQYAsH//flRWVmLChAkwNDTErl27YGVlpZaARPRf9jZmGNG/M/afzMdTw3vA3sZM7EjUBg8t3IiICAD3Ll6zbdu2lh+UhYWFYfLkyapPR0T3mTjUAwkn8rDz0EXMHucndhxqA4XWcMvKylrdpbeqqgoVFRUqC0VEDya3lWHoE67YdzwPpXdqxY5DbaDQqb1RUVF46qmnMGLECAiCgPj4eDz11FOqzkZEDzBpWA8cTC3AD4dyMXOMj9hxSEEKFe5rr70Gb29vHD9+HACwYMEChIaGqjQYET2Ys705wvp2wt6Uq5g41AM2llKxI5ECFCpcABg+fDiGDx+uyixE1AaThnngcFoB4o7k4vkoXipVG/B0MSIt1UluicG9O+HnpCuoqKx79BtIdCxcIi321HAP1DU0Ydevl8SOQgpg4RJpsc5OVhjo54Kfjl3B3ep6sePQI7BwibTclBGeqKlr5CxXC7BwibScm7MVgv2csefoZVRylqvRWLhEOmDKCE9U1zZi16+XxY5CD8HCJdIBXV2sEeTrjD1HL6GypkHsOPQALFwiHTE13BNVtY3Yw7VcjcUIKGg8AAATB0lEQVTCJdIRv89yd/3KWa6mYuES6ZApIzjL1WQsXCId0q0jZ7majIVLpGN+X8vdzVmuxlFp4e7ZsweRkZEIDw/H5s2bH7jd4cOHMXToUFVGIdIbrdZyeVyuRlFZ4RYVFWH16tXYsmUL4uLiEBsbi9zc3Pu2u3XrFlasWKGqGER6aWr4veNy4zjL1SgqK9zk5GQEBgbCxsYGMpkMERERiI+Pv2+7hQsXYt68eaqKQaSXurpYY6CfC3b/ehl3qjjL1RQqK9zi4mI4ODi0PJbL5SgqKmq1zbfffotevXrB3593HyVStqkRnqitb0Tckfv/ZUniUPgC5G3V3Nzc6hbrgiC0epyTk4OEhAR88803uHnz5mPtIyMjo83vSUtLe6x9aTJdHBOgm+NS95i8O5sh7kguulhXwtzUUCX70NfvU0BAQJs/V2WF6+TkhNTU1JbHJSUlkMvlLY/j4+NRUlKCCRMmoKGhAcXFxZg2bRq2bNmi8D58fHwglSp+a5G0tLTH+k3SZLo4JkA3xyXGmBxd72Lux4nILTXHjGjl3xWC36e2UdmSQnBwMFJSUlBaWoqamhokJCQgJCSk5fX58+dj37592LVrF9avXw+5XN6msiWiR+skt0RYgCt+TrqCMt7hV3QqK1xHR0fExMRg+vTpGDt2LKKiouDn54dZs2bh3LlzqtotEf2PKSM80djUjO0Hc8SOovdUtqQAANHR0YiOjm713IYNG+7brlOnTkhMTFRlFCK95WxvjhH9OyM+JQ/jwtwh7yATO5Le4plmRHrgqeE9AACx+znLFRMLl0gPyDvIMDK4Cw78lo8btyrFjqO3WLhEemLSUA8YGRpg675ssaPoLRYukZ7oYGWK6EFdceT0NVwtvCN2HL3EwiXSIxOHekAmNcJ3v2SKHUUvsXCJ9IiFzATjh3jg5IWbyLxSKnYcvcPCJdIzowd3g42lFN/uvQBBEMSOo1dYuER6xlRqhMnDeyDj0m2czi4RO45eYeES6aGIwC6Q28rw718uoLmZs1x1YeES6SFjIwM8+6QXLl+vwK9nrosdR2+wcIn0VEifTujmYo3v9maiobFJ7Dh6gYVLpKcMDCR4LqoXikursTflqthx9AILl0iP9enhAH8Pe8Tuz0F1LW+rrmosXCI9JpFI8Pwob9ypqseOxItix9F5LFwiPefuaoPQPp2w68gl3CqvETuOTmPhEhGejewJAcB3e3nKryqxcIkIjrYyRA/qhkNpBbhyo0LsODqLhUtEAIBJw3vAwswYX+0+z1N+VYSFS0QAAAszY0wJ98SZiyVIzSwSO45OYuESUYvI4K7o6GCBjbvPo7GpWew4OoeFS0QtjAwNMGO0N66XVOKX5Ctix9E5LFwiaqVfT0f09nDA1n3ZuFtdL3YcncLCJaJWJBIJXhzjg+raBmzZlyV2HJ3CwiWi+3RxtkJEUBf8knwVebz/mdKwcInoTz3zZE/IpEZYH3eOh4kpCQuXiP6UlbkJnnnSC+m5t5ByrlDsODqBhUtED/RkUBd0cbbCxj3nUdfAa+a2FwuXiB7I0NAAL431RXFpNXbyamLtxsIloofydbdHSJ+O2JF4EYW3qsSOo9VYuET0SDOivWFkaMAfoLUTC5eIHsnO2gzTIryQmlmEE+dvih1Ha7FwiUghUYO6ws3JEuvjzqG2rlHsOFqJhUtECjEyNMArE/1RUlaDrQnZYsfRSixcIlJYr652iAh0Q9yvl3ih8sfAwiWiNnluVC9Yyozxrx1n0cwfoLUJC5eI2sRSZoIXR/sgO68MqRd5mFhbsHCJqM3C+nZC7x4OOHCmAiVlvNOvoli4RNRmEokEcyf6QxCAz3ae5bG5CmLhEtFjcbIzx1B/K6RmFuHX09fFjqMVWLhE9NgG9LBAj842WB93DhWVdWLH0XgsXCJ6bAYGEsx/qg+qaxux7od0seNoPBYuEbWLm7MVpkV4IunsDRw9w6WFh2HhElG7jQ9zh4erDT7/IR3ld7m08CAsXCJqN0NDA7w+5d7SAo9aeDAWLhEpRWcnKzw7sidSzhUiMbVA7DgaiYVLREozJrQ7fLrb4Ysfz6GotFrsOBqHhUtESmNoIEHMlL4AgNVbT6GpmUsLf8TCJSKlktvKMGe8L85fvo0fDvE+aH/EwiUipRsS4IrBvTtiU3wWsvJKxY6jMVi4RKR0EokEr0z0h721KVZuSkNVTYPYkTSCSgt3z549iIyMRHh4ODZv3nzf6wcOHMCYMWMwevRovPLKK6io4AWNiXSFhZkx/u/pJ3CrvAb/2sFDxQAVFm5RURFWr16NLVu2IC4uDrGxscjNzW15vbKyEh988AHWr1+P3bt3w9PTE//85z9VFYeIRNCzqy2mRXji6Jnr2Hc8T+w4olNZ4SYnJyMwMBA2NjaQyWSIiIhAfHx8y+sNDQ14//334ejoCADw9PREYWGhquIQkUgmDe2BPj0csD7uHC5dKxc7jqgkgorm+V988QWqq6sRExMDAPj++++Rnp6ODz/88L5ta2trMW3aNDz77LMYN27cIz+7rq4OGRkZSs9MRKpRVduEz/cWw8gQmP2kI0xNtP/HRwEBAW1+j5EKcgAAmpubIZFIWh4LgtDq8e/u3r2LuXPnwsvLS6Gy/SMfHx9IpVKFt09LS3us3yRNpotjAnRzXPo+JnuX23jnsyQczmrGO889AQOD+/tAE6jy+6Syv2acnJxQUlLS8rikpARyubzVNsXFxZg2bRo8PT2xdOlSVUUhIg3Qq6sdXojyxvGMm9iRqJ/H56qscIODg5GSkoLS0lLU1NQgISEBISEhLa83NTVhzpw5GDlyJN57770/nf0SkW4ZE9INIX06YlN8JtKyisSOo3YqW1JwdHRETEwMpk+fjoaGBkycOBF+fn6YNWsW5s+fj5s3b+LChQtoamrCvn37ANxbIuBMl0h3SSQSvPpUb+TfvIuVm9Lwj9dD4GJvIXYstVFZ4QJAdHQ0oqOjWz23YcMGAICvry+ysrJUuXsi0kCmJkZ474X+eGPNESz56gRWvhoCczNjsWOphfb/qJCItI6TnTkWPNcPN0qqsHJTqt5c5IaFS0Si8HN3wOzxfkjLKsY3P50XO45aqHRJgYjoYUYGdUH+zTuIO3IJzvbmiAzuKnYklWLhEpGoZo72QVFpNb74IR32Nmbo38tJ7EgqwyUFIhKVoaEB3nrmCXTraI2Pv0vFxYIysSOpDAuXiERnKjXCohcDYW0hxd++PI7rJZViR1IJFi4RaYQOVqZY/FIQAGDRF8m4XVEjciLlY+ESkcbo6GCBD2YG4W51AxatT8Hd6nqxIykVC5eINIq7qw0WzuiPGyVVWLQ+RafuFsHCJSKN4+fugHee64cr1yvwty+Po6auUexISsHCJSKN1N/bCX955glk55Xiw40nUKsDpcvCJSKNNdDfBTHTAnD+8i188OVxVNdq9/ICC5eINFpY30548+kAZF4txQcbtLt0WbhEpPFC+nTCW888gZz8Mrz3eTIqKuvEjvRYWLhEpBUG+rvg3ef7I6/wDt757BhulWvfcbosXCLSGv29nfC3WUG4VV6Lt9ce1boz0li4RKRVfN3tsezlgahraMJfPj2KzCulYkdSGAuXiLSOu6sNVr4aAkuZMRZ+noSk9BtiR1IIC5eItJKzvTk+fnUwunW0xvJ//4bvD+ZAEDT7zhEsXCLSWtYWUix5eSBC+nTEt79k4h9bTqG+oUnsWA/EC5ATkVaTGhvi/54OQGcnS2zam4VrJZV457l+kHeQiR3tPpzhEpHWk0gkmDzcE++90B/Xiyvx+j+O4ExOsdix7sPCJSKdEejjjH+8HgIbSyneX5+CrQnZGnVHYBYuEemUTnJL/P21EAzu3Qlb9mVh0RfJKL1TK3YsACxcItJBZlIjvPl0X7w2uTey88vw6qpDOJ5RKHYsFi4R6SaJRILh/d2w+vVQ2NuYYenXJ/Fp7GlRL37DwiUinebqaIlV80MwaZgHDv6Wj1dXHcLpbHF+oMbCJSKdZ2xkgOmRvbB87mAYGxli0foUfLLttNrvmcbCJSK90bOrLT59MwyThnkgMa0AL684iMTUfLWdocbCJSK9YmJsiOmRvbAmJhROduZYvfU0Po09o5Z980wzItJLXV2s8fG8wUhMzVfbPlm4RKS3DAzuHcmgtv2pbU9ERHqOhUtEpCYsXCIiNWHhEhGpCQuXiEhNWLhERGrCwiUiUhMWLhGRmrBwiYjUhIVLRKQmWnlq7+9X9qmvb/ul1erq6pQdR3S6OCZAN8fFMWkHRcdkYmICiUSi8OdKBHVdl0yJ7t69i5ycHLFjEJGe8/HxgVQqVXh7rSzc5uZmVFVVwdjYuE1/uxARKZNezHCJiLQRf2hGRKQmLFwiIjVh4RIRqQkLl4hITVi4RERqwsIlIlITFi4RkZroTeHu2bMHkZGRCA8Px+bNm8WOoxRr167FqFGjMGrUKHz88cdix1GqFStWYMGCBWLHUIrExESMHz8eI0eOxJIlS8SOoxS7du1q+bO3YsUKseO0S2VlJaKionDt2jUAQHJyMqKjoxEeHo7Vq1crd2eCHrh586YwZMgQoaysTKiqqhKio6OFixcvih2rXZKSkoTJkycLdXV1Qn19vTB9+nQhISFB7FhKkZycLAwYMEB4++23xY7Sbvn5+cKgQYOEwsJCob6+Xpg6dapw+PBhsWO1S3V1tdCvXz/h9u3bQkNDgzBx4kQhKSlJ7FiP5cyZM0JUVJTg7e0tFBQUCDU1NUJoaKiQn58vNDQ0CDNmzFDq90svZrjJyckIDAyEjY0NZDIZIiIiEB8fL3asdnFwcMCCBQtgYmICY2NjdO/eHTdu3BA7VruVl5dj9erVmDNnjthRlGL//v2IjIyEk5MTjI2NsXr1avj7+4sdq12amprQ3NyMmpoaNDY2orGxsU3XE9Ak27dvx/vvvw+5XA4ASE9Ph5ubG1xdXWFkZITo6GildoVWXi2srYqLi+Hg4NDyWC6XIz09XcRE7efh4dHy9dWrV7F3715s3bpVxETKsWjRIsTExKCwsFDsKEqRl5cHY2NjzJkzB4WFhQgLC8Prr78udqx2sbCwwGuvvYaRI0fCzMwM/fr1Q9++fcWO9ViWLl3a6vGfdUVRUZHS9qcXM9zm5uZWF5gQBEFnLnpz8eJFzJgxA2+99Ra6dOkidpx2+f777+Hs7IygoCCxoyhNU1MTUlJSsGzZMsTGxiI9PR0//vij2LHaJSsrCzt37sShQ4dw9OhRGBgYYOPGjWLHUgpVd4VeFK6TkxNKSkpaHpeUlLT8E0KbpaWl4fnnn8ebb76JcePGiR2n3X755RckJSVhzJgx+PTTT5GYmIhly5aJHatd7O3tERQUBFtbW5iammL48OFa/6+rY8eOISgoCHZ2djAxMcH48eNx8uRJsWMphaq7Qi8KNzg4GCkpKSgtLUVNTQ0SEhIQEhIidqx2KSwsxNy5c7Fq1SqMGjVK7DhK8fXXX+Onn37Crl27MH/+fAwdOhTvvvuu2LHaZciQITh27Bju3LmDpqYmHD16FN7e3mLHahcvLy8kJyejuroagiAgMTERvr6+YsdSCn9/f1y5cgV5eXloamrCTz/9pNSu0Is1XEdHR8TExGD69OloaGjAxIkT4efnJ3asdtm4cSPq6uqwfPnyluemTJmCqVOnipiK/pe/vz9mzpyJadOmoaGhAQMHDsSECRPEjtUugwYNwoULFzB+/HgYGxvD19cXL730ktixlEIqlWL58uV49dVXUVdXh9DQUDz55JNK+3xeD5eISE30YkmBiEgTsHCJiNSEhUtEpCYsXCIiNWHhEhGpCQuX9FZ6ejoWLVokdgzSIyxc0lu5ublKPU+e6FF4HC7pnBMnTmDp0qWQyWSoqqpC3759ceHCBVRVVUEQBCxZsgQuLi6YOnUq7t69i/DwcHz00UdITEzEunXr0NDQAFNTU7z99tvo06eP2MMhXaK0Cz0SaYjjx48LXl5ewrVr14RTp04Jr776qtDU1CQIgiB88cUXwuzZswVBEISdO3cKL730kiAIgnDlyhUhKipKKC0tFQRBEHJycoSBAwcKVVVV4gyCdJJenNpL+sfZ2RkdO3ZEx44dYW1tjW3btqGgoAAnTpyAubn5fdsnJSWhuLgYzz//fMtzEokE+fn58PLyUmNy0mUsXNJJMpkMAHD48GEsXboUL7zwAoYNG4Zu3bph9+7d923f3NyMoKAgrFmzpuW5wsJCnbiqHGkO/tCMdFpSUhKGDBmCadOmwcfHBwcOHEBTUxMAwNDQEI2NjQCAoKAgJCUl4dKlSwCAI0eOYPTo0aitrRUtO+keFi7ptClTpuDkyZOIjo7GuHHj4OrqimvXrqG5uRm9e/dGQUEB5s2bB3d3dyxevBhvvPEGRo8ejU8++QTr1q370+UHosfFoxSIiNSEM1wiIjVh4RIRqQkLl4hITVi4RERqwsIlIlITFi4RkZqwcImI1ISFS0SkJv8P8pX2ROXfZuAAAAAASUVORK5CYII=\n",
"text/plain": "<matplotlib.figure.Figure at 0x1211df320>"
}
},
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x11f52b198>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true
},
"cell_type": "markdown",
"source": "# Customer Dimensions\n\np.141"
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "model5_vars = [\"Rate\",\"Competition rate\",\"ln_amt\",\"ln_FICO\",'Loan Type_U', 'Loan Type_N']\nlogreg = LogisticRegression()\ny_pred, conf_matrix, score, coef, logreg = utils.run_model(data,model5_vars,logreg,\n segment=False, print_report=False)",
"execution_count": 36,
"outputs": []
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "coef",
"execution_count": 37,
"outputs": [
{
"execution_count": 37,
"metadata": {},
"output_type": "execute_result",
"data": {
"text/plain": "{'Competition rate': 0.7783424595940318,\n 'Loan Type_N': -0.15916712376531583,\n 'Loan Type_U': 0.15815602754657512,\n 'Rate': -0.2919170106459618,\n 'intercept': 8.377404196438153,\n 'ln_FICO': 1.2678069959930673,\n 'ln_amt': -2.0059925331818786}"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "X = [[6.,6.,np.log(20000),np.log(fico),0.,1.] for fico in range(600,840)]\npred_demand = logreg.predict_proba(X)\ntake_up = [{\"fico\":fico, \"demand\":pred_demand[i, 0]} for i,fico in enumerate(range(600,840))]\nsns.relplot(x=\"fico\", y=\"demand\", kind=\"line\", data=pd.DataFrame(take_up));",
"execution_count": 38,
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x121183400>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true
},
"cell_type": "markdown",
"source": "# Hazard Rate\n\np.95"
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "hr1 = utils.plot_demand_curve(data,'band_03',base_price=15000,price_interval=4000,model=model4_vars,type='hazard')\nhr2 = utils.plot_demand_curve(data,'band_05',base_price=15000,price_interval=4000,model=model4_vars,type='hazard')\nhr3 = utils.plot_demand_curve(data,'band_07',base_price=15000,price_interval=4000,model=model4_vars,type='hazard')",
"execution_count": 39,
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x1209e16a0>"
}
},
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x121883ef0>"
}
},
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x12182f080>"
}
}
]
},
{
"metadata": {
"editable": true,
"deletable": true
},
"cell_type": "markdown",
"source": "# Elasticity Curves"
},
{
"metadata": {
"editable": true,
"deletable": true,
"collapsed": false,
"trusted": true
},
"cell_type": "code",
"source": "el1 = utils.plot_demand_curve(data,'band_03',base_price=15000,price_interval=4000,model=model4_vars,type='elasticity')\nel2 = utils.plot_demand_curve(data,'band_05',base_price=15000,price_interval=4000,model=model4_vars,type='elasticity')\nel3 = utils.plot_demand_curve(data,'band_07',base_price=15000,price_interval=4000,model=model4_vars,type='elasticity')",
"execution_count": 40,
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": "<matplotlib.figure.Figure at 0x1209fe160>"
}
},
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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w5coV/Pjjjw2FS0QtlxAC63ekoZWbCpNHOtbE4uaS7JDCpUuXAAAzZszA2LFjsWHDBqmGIiI78HN6IU5llWDKqFCHuANvcyiEEEKKFf/yyy/YuHEj3nzzTej1ekydOhVvvPEGBg4c2OjrtFot0tLSpIhERDIxGAX+tbsQTgrguegAKB3gEt6IiIgmv0ay3/V79+6N3r17NzyOj4/HwYMH71i4vwkLC4NarW7SmKmpqc36Jtg6R90ugNtmr5q6bd8evIiyqqtYNHOATZ+ZIPXPTLJDCsePH8eRI0caHgsheCyXqAWqrNFh075M9OnS8k4D+2+SFW5VVRXeeecdaLVaVFdXY9u2bXj44YelGo6IbNSmfZmoq9djRmx3uaPITrJdzqFDh+LUqVMYP348TCYTpkyZctMhBiJyfHlFVdiddBmjBnRAewe9bU5TSPo7/ksvvYSXXnpJyiGIyIZ9tisdLiolpjjwbXOagleaEZEkTl8oxrGzBXh0eGd4eTTtDXBHxcIlIoszmQTW7zgLP283jBvcUe44NoOFS0QWd+BEHi5drcDU6G5wUSnljmMzWLhEZFH1OgO+2J2OTsFeGNyrrdxxbAoLl4gsasdPl1BSUY8Zsd0d/qaQTcXCJSKLKa/S4j+JWejfPRDhHdvIHcfmsHCJyGI2JmRAqzdiWkw3uaPYJBYuEVlEXlEV9h7NxqgB7XGvf8ub69YcLFwisojPd5+DWuXUYue6NQcLl4ju2tlLpThyJh8Th3ZuMbc8bw4WLhHdFSEEPt11Fj6erhgXxYscGsPCJaK7knwmH5nZ1/HEI6FwdeEUrI1h4RJRsxmMJnz+XTqCAzww/IFguePYPBYuETXb90ezca2kBtNiukGpZJ3cCb9DRNQstfV6bEzIQPcQX/Rt4XdyMBcLl4ia5duDF1FRrcP0mG5QKHgJrzlYuETUZFV1Rmw7cAEDe96DLu195I5jN1i4RNRkP6VVQmcwYerornJHsSssXCJqkmvF1Ui9UINRA9rjHj93uePYFRYuETXJF3vOQalUYPLDvIS3qVi4RGS2rNzrOHzqGiJD3eHtyUt4m4qFS0RmEULgs13p8Gzlgge7cjaw5mDhEpFZfjlfjNMXSvD4iPvhqmJ1NAe/a0R0RyaTwP9+lw5/Hw1GP9hB7jh2i4VLRHd0+NRVXLpagScfCYXKmXfhbS4WLhE1Sm8wYcOeDHQI8kRU73vljmPXWLhE1Kh9KdnIL63B02O68S68d4mFS0R/qF5rwKaETHQP8UVEqL/cceweC5eI/tCOQ5dwvUqLp6M5QY0lSF64K1euxOuvvy71MERkYZU1Omz5MQv9uwei632coMYSJC3cI0eOYNu2bVIOQUQS2ZKYhTqtAU9xghqLMatw58+fj+Tk5CatuLy8HKtWrcKcOXOaFYyI5FNSXoddhy9haEQw2gd5yh3HYSiEEOJOC+3YsQObN29GcXExHnvsMUycOBFeXl6NvuaFF17A5MmTkZ+fj5SUFKxYscKsQFqtFmlpaealJyJJ7Dh2HScv12B+TCC83XljyNuJiIho8mvM+k6OHTsWY8eOxcWLF7FlyxbEx8ejd+/eeOqpp9CjR49blv/mm28QFBSEyMhIbN26tcmhACAsLAxqtbpJr0lNTW3WN8HWOep2Adw2W3S1uBonNyVizMAQjIgKv+0y9rptdyL1dpn9X5fJZEJ2djauXLkCo9EIX19fvP322xgyZAheeOGFm5bdvXs3iouLMW7cOFRUVKC2thbLli3DX/7yF4tvABFZ1oY95+Di7ITHht8vdxSHY1bhrlq1Clu3bkVwcDCmTJmC1atXQ6VSoba2FkOHDr2lcD/99NOGz7du3YqUlBSWLZEduJBXjsOnruHxh++Hl0fTfsOkOzOrcMvKyrBu3TqEhobe9LxGo8F7770nSTAisr4vdp+Dh8YFcVGd5I7ikMw6S8FoNN5Str/t1Q4aNKjR106YMMHsN8yISD5nLpTgRGYRHh3eGa3cVHLHcUiN7uEuWrQIhYWFSE1NRVlZWcPzBoMBubm5kocjIusQQuB/d6fDt7UrogfeJ3cch9Vo4cbHxyMrKwuZmZkYNWpUw/NKpRK9evWSPBwRWUfK2QJkZl/HvEd7Qq3i9ItSabRww8PDER4ejoEDByIgIMBamYjIiowmgS/2nENbv1YY0bed3HEcWqOF++KLL2L16tWYOXPmbb++c+dOSUIRkfUcPJGH7IIqLHjqASiVnM9KSo0W7rPPPgsAePPNN60ShoisS28w4avvMxDStjUG9rhH7jgOr9H/zsLCwgAA7dq1w+7du9GvXz+0adMGn332Ge67jwfWiexdwtErKCyrxdTorpxc3ArM+v3h9ddfR0hICACgbdu26NevHy9kILJz9VoDNu0/j+4hvujThZOLW4NZhXv9+nVMnToVAKBWqzFt2jQUFxdLGoyIpLXz8CWUc3JxqzL7wofCwsKGxyUlJTBjkjEislHVtTps+fEC+nYL4OTiVmTWpb3Tpk3D+PHj8dBDD0GhUCA5ORkLFiyQOhsRSWTLjxdQW6/n5OJWZlbhxsfHIywsDEePHoVSqcQzzzyD++/nTEJE9qissh47Dl3C4F734r57Wssdp0Vp9JDCxYsXAQBnz56F0WhE37590adPH+j1epw9e9YqAYnIsjbty4TRaMITj4TeeWGyqEb3cN955x2sXbsW8+fPv+VrCoUCP/zwg2TBiMjy8ktqkHA0GyP7t0dQm1Zyx2lxGi3ctWvXAgC++uorBAYG3vS1rKws6VIRkSS++j4DSicFHn+YhwTl0OghhfLycpSXl2PWrFmoqKhAeXk5KioqUFJSctu9XiKyXVfyK3HwlzzEPhQC39ZucsdpkRrdw3311VeRlJQEAOjfv3/D80qlEo888oi0yYjIor7YfQ4atTPih3WWO0qL1Wjhrl+/HgDwxhtvYPny5VYJRESWl365FCnpBZga3RXuGhe547RYZl34sGzZsoYJxw8cOIB//vOfqKqqkjQYEVmGEAKf7z4HLw81YgeFyB2nRTOrcBctWoR169bhwoULWLhwIfLy8jiXApGdOJFZhLOXSjFpxP1wVZt9o26SgFmFm5aWhrfffhv79+9HXFwcli9fjqtXr0qdjYjukskk8Pl35xDgo8HIAR3kjtPimVW4Qgg4OTkhKSkJAwYMAADU19dLGoyI7t7hU1dx6VoFnnwkFCpnTi4uN7N+Au3atcOzzz6LvLw89OvXD6+++iq6dOkidTYiugsGowkb9mSgQ5AnBve+V+44BDPnUli+fDn27duHiIgIqFQqPPDAA4iLi5M6GxHdhX3HspFfWoO3nunPycVthFl7uBqNBlFRUVAqlbh27RoGDRqE1NRUqbMRUTPV6wzYtC8TXTv44IGuvAGsrTBrD3f16tX46KOPANy46EGv16NTp068iSSRjdp56BLKKrVY8FRfTi5uQ8zaw92+fTt+/PFHjBo1CgkJCVi+fDk6deokdTYiaoaqWh22JGahb7cAdA/xlTsO/Y5Zhevj4wN/f3+EhIQgIyMD48ePx/nz56XORkTN8J8fslCrNWBqdDe5o9B/MatwnZ2dkZOTg5CQEBw/fhwGgwFarVbqbETURCXlddh1+BKGRgSjQ5Cn3HHov5hVuLNnz8abb76JIUOGICEhAUOGDLlpMhsisg0bEzJhEsCUUZxc3BaZ9abZ0KFDMXToUAA3judmZ2cjNPTOP9DVq1fj+++/h0KhQHx8PKZPn353aYnoD+UWVmF/SjZiBoUgwEcjdxy6jUYLd8mSJY2+eOHChX/4tZSUFBw9ehQ7duyAwWBAdHQ0oqKiEBLCyTOIpPDFnnNQuzjjsRGcXNxWNXpIwcvLq+FDrVajsLAQHh4ecHFxgZeXV6Mr7tevHz7//HM4OzujtLQURqMRGg3/1yWSQsaVMhw5k4+JQzuhtbta7jj0Bxrdw503bx4A4OTJk5g3bx6USiX++te/YuzYsVizZs0dV65SqfDBBx/gk08+wSOPPIKAAJ6ATWRpQgh89l06vDzUGDe4o9xxqBEKIYS400JTpkzB4sWL8ec//xnbtm3DwYMH8cEHH2DLli1mDVJXV4c5c+YgOjoajz/+eKPLarVapKWlmZeeiJB5tQ4bD5ZiTF8v9O3sLnecFiMiIqLJrzHrTbP6+np06tQJv3VzVFQU/vGPfzT6mosXL0Kn06Fr165wc3PDyJEjkZmZaXawsLAwqNVN+9UoNTW1Wd8EW+eo2wVw2+6W0STwSeKPCGrTCjMffQjOSuvMCOaoPzept8vs83ArKioaLhG8dOnSHS8XzMvLw8KFC6HT6aDT6fDDDz845A+ISE6JP+cgp6AKT0d3s1rZUvOZtYf73HPP4cknn0RJSQleeeUVJCUlYfHixY2+JioqCqdPn8b48eOhVCoxcuRIjBkzxiKhiejGBDVffp+BLu288WCPILnjkBnMPg83JCQESUlJMJlMmDt3Ljp2vPPB+fnz5/N26kQS2XnoEkor6vGnJyI4QY2dMPsGR+3bt0f79u2lzEJEZqqs+b8JasI6tpE7DpmJB32I7NDX+zJRpzXg6TGcoMaesHCJ7Ex+SQ12J1/Gw/3bo30gJ6ixJyxcIjvz+e50KJVOnKDGDrFwiexIZnYZDp+6hrioTvDxdJU7DjURC5fITggh8MnOs/DyUGPCUN5xxR6xcInsxJEz+Ui/XIYpo0Lhpjb7BCOyISxcIjugN5jw2XfpCA7wwMh+7eSOQ83EwiWyA7uTLyO/pAYzYrtDyUt47RZ/ckQ2rqpWh00JmejV2Q8Rof5yx6G7wMIlsnFf7zuPmno9Zoztzkt47RwLl8iGXSuuxndJlzCibzvcd09ruePQXWLhEtmwT3aehcrZCU+N7ip3FLIAFi6RjTp9oRjHzhbg0eH3w5sXOTgEFi6RDTKaBD7engZ/bzfep8yBsHCJbND+lBxcvlaJaWO6w0WllDsOWQgLl8jG1NTp8cWedHTt4INBve6ROw5ZEAuXyMZs2peJyhodZo0P52lgDoaFS2RD8oqqsPPQjdPAOgV7yR2HLIyFS2RD1u84C7WLEk9F8zQwR8TCJbIRP6cX4Pi5Qjw+ogu8PXgamCNi4RLZAL3BiHXb09DWzx2xD4XIHYckwsIlsgHfHryI/JIazIoLh8qZ/ywdFX+yRDIrvl6Hr/efx4CwQPTpwtnAHBkLl0hmn+46C2ESeGZsmNxRSGIsXCIZnTpfjEMnr2LisM4I9G0ldxySGAuXSCZ6gwn/3nYagb4aTBzWWe44ZAUsXCKZfHvwAvKKqjE7rgfUnC+hRWDhEsmg6HptwxtlD3QNkDsOWQkLl0gG6749AwB4dly4zEnImiS9uf2HH36IPXv2AACioqKwYMECKYcjsgtH0/JxNK0A08Z0g7+PRu44ZEWS7eEmJyfj8OHD2LZtG7799lucPXsW+/btk2o4IrtQpzVg7bYz6BDkiXFRnFi8pZGscP38/PD666/DxcUFKpUKHTt2xLVr16QajsgufPV9BkrK6/D8xJ5wVvKIXkujEEIIqQe5cuUKJk+ejI0bN6JDhw6NLqvVapGWliZ1JCKry7+uw0d7i9CnYyvE9vOWOw7dpYiIiCa/RtJjuACQlZWF2bNnY8GCBXcs298LCwuDWq1u0lipqanN+ibYOkfdLqDlbJvRaMKGD35C61Zq/OnpwXDXuMic7u446s9N6u2S9Hea1NRUTJs2Da+++iri4uKkHIrIpu04dAkX8iowKy7c7suWmk+yPdz8/HzMnTsXq1atQmRkpFTDENm8gtIabNibgf7dAzGoJ+9R1pJJVrjr16+HVqvFihUrGp6bNGkSJk+eLNWQRDZHCIF/fnMKSicF5kzowXuUtXCSFe7ChQuxcOFCqVZPZBf2p+TgZFYx5kzogTZebnLHIZlJ/qYZUUtVWWvE+r1pCOvoi9GRHeSOQzaAJwISSUAIgZ0p16E3Csx/rBecnHgogVi4RJL4MTUPWdfq8XR0V9zTxl3uOGQjWLhEFlZaUYd1355BsJ8LYgbxhpD0f1i4RBYkhMAHm09CbzRhfH9vHkqgm7BwiSxo79FsnMgowvQx3eDrqZI7DtkYFi6RheSX1OCTHWmvNT+vAAAQ3klEQVTo1dkPox+8T+44ZINYuEQWYDSasGrjCSidFHjh8d48lEC3xcIlsoBvErNw7koZ5kzsCT9vXuBAt8fCJbpLGdll2JiQiaje92JIn3vljkM2jIVLdBdq6/X4x5cn0Ka1K+ZM7CF3HLJxLFyiu7B22xkUltXglSkRcHfjWQnUOBYuUTMlHs9B4vFcTHq4C7qH+Modh+wAC5eoGfKKqrBmy2mEdfTFYw93kTsO2QkWLlET6fRGvPPFcaiclfjTExFQ8hQwMhMLl6iJ1m47g8vXKvHy5N7wbc1TwMh8LFyiJtifkoOEY9l4dHhn9O0WKHccsjMsXCIzXb5WgTVbTqFHpzZ4YlSo3HHIDrFwicxQXafH8v/9Ge4aFf70ZASUSv7Toabj3xqiOzCaBP6+4TiKr9fital94e3hKnckslMsXKI7+HLvOaRmFGFWXA90u4/n21LzsXCJGpF06hq++SELowa0540g6a6xcIn+QFbudfxj4wmEtvfG7LhwueOQA2DhEt1GaUUdlnySAi93F/x1en+onJVyRyIHwMIl+i/1WgP+9skx1Gn1ePOZAfDyUMsdiRwEC5fod4xGE97dkIrLVyvw5ycfQIcgT7kjkQNh4RL9SgiBtd+eQUp6AWZP6MErycjiWLhEv/pPYhb2JF/BxKGdEM2bQJIEWLhEAPanZOPz3ecwuHdbTI3uJnccclCSF251dTViYmKQl5cn9VBEzXLkzDX8v80n0ft+P7w0qQ/vuEuSkbRwT506hcmTJ+PKlStSDkPUbKeyivHOF6no3M4bf5nWDypn/tJH0pH0b9fmzZuxaNEi+Pv7SzkMUbOcvVSKv31yDPf4tcKimQPgqnaWOxI5OEn/hi1dulTK1RM1W0Z2Gf7n46No09oVS2Y/CA+Ni9yRqAVQCCGE1IMMGzYMn3/+Oe699947LqvVapGWliZ1JGrBrpbq8HliMTRqJ0wf4Q9PDa8io6aLiIho8mts9neosLAwqNVNu8InNTW1Wd8EW+eo2wVYf9syrpThy61H0NrDDcufHwh/b41kY/HnZn+k3i6bLVwiSztzsQSLPz4Kb09XLJ0zEH7evB8ZWRcLl1qE1IxCLPvsZwT4uGHJnIHw8eQk4mR9VincxMREawxDdFsHTuTh/Y0n0D7QE/8zK5KT0ZBsuIdLDm3HoYtY920awju2wV+n90MrN5XckagFY+GSQzKaBD7deRbbf7qIyPAg/OmJCLioeDYCyYuFSw6nXmfAe1+m4mhaAWIfCsEzY8Og5OW6ZANYuORQSsrrsPTTY7h4tQLPjg/D2Ic6yh2JqAELlxxG+uVSLP/fn6HVGbFwen/06875bMm2sHDJ7gkhsPfIFXz07Rn4eWuwdM6DaBfIOzWQ7WHhkl2r0xrwz29O4eAveegT6o8/PxEBd86LQDaKhUt26/K1Cry74TiuFlXjydGheHTY/ZzLlmwaC5fsjhACOw9dwmffpcPdTYXFsx9Ez85+csciuiMWLtmV0oo6fLD5JE5kFKFvtwC8+HhvtHbnlWNkH1i4ZBeEEPjh51x8vP0MDCaBORN6IPrBDlAoeAiB7AcLl2xeQWkN/r31NFIzitA9xBcvPt4bQW1ayR2LqMlYuGSzDEYTth+8iK8SMqF0AmaND8eYgffxjTGyWyxcskknMoqwbvsZ5BVVY0BYIGaN78H5a8nusXDJpuQWVuGzXelISS9AkG8rvDmDV4yR42Dhkk0oq6zHV99nYF9KDtQqJzw9phvGDQ6BypkzfJHjYOGSrKrrjFi/Iw27k6/AZDIh+sEOmPRwF57qRQ6JhUuyKCmvw/afLmLX4QKYTAJDIoIx6eEuPPuAHBoLl6wqO78S3x68iAMncmESQFg7Nzw/KRJt/dzljkYkORYuSc5oEjieXoAdhy7h9IUSuKiUeCSyA8ZHdULe5XMsW2oxWLgkmeLrddifko2EY9koqahHm9aueHpMN4zs3x6erW7M6JV3WeaQRFbEwiWLqtcacCQtH4k/5+LUhWIAQO/7/fHs+HD06x4IZ6WTzAmJ5MPCpbum1RtxIqMQP/1yFT+fK4RWZ0SAjwaTHu6CYQ8EI9CXb4QRASxcaqaKai1SMwpxNK0AJzKLoNUZ4dnKBcMeCMbgXm3R7T5fXoJL9F9YuGQWg9GEzOzrOHm+GCcyC5GVWw4hAB9PVwx/IBiR4UEI79gGSh4yIPpDLFy6Lb3BiAu5FUi7VIKzl0qRfrkUdVojnBRA52BvTBkViohQf3Rs68U9WSIzsXAJQgjkl9bgQm45snLLkXGlDBfyKmAwmgAAwQEeGBIRjF6d/dCjUxveM4yomVi4LUxtvR65hVXILqhCdn4lLl2rwOWrFaipNwAAVM5O6HSvF2IfCkFoe290D/HlZbZEFsLCdUA6vRGFZbUoLKvFteJq5JfUIK+oGnlFVSipqG9YTu2iRIcgTwzucy86tm2NzsHeaBfowVO3iCQiaeHu3LkTa9asgcFgwNNPP40nnnhCyuFaBL3BhOtV9bheWY/Sit8+6lB8vQ7F5XUoLKtFWWX9Ta9xUzujrb87wju1wb3+HmgX6IH2gZ7w99FAyeOvRFYjWeEWFhZi1apV2Lp1K1xcXDBp0iT0798fnTp1kmpIuyKEgFZnRE29HjV1elT/9lGrR1WtDlW1OlTW6FBZrUNeQQk+3v8DKqq1qKrV37IuZ6UT/Lzc4Oftht5d/BDg0woBPhoE+mpwTxt3tHZ34b2/iGyAZIWbnJyMAQMGwMvLCwAwatQo7N27F/PmzZNqyGYxmQSMJgGj0QSjScDwuz8NRhOMxhuf6w03PgwGE/RGE/QGI3T6G39q9Sbo9Ebo9EZof/vQGVGvNaJeZ4BWZ0SdzoA67a8f9QbUag0wmcQf5nJSAB6tXODZygUKAbQP8oSXhxpeHmp4e7jC21MNX09XtPFyu7EMC5XI5klWuEVFRfDz82t47O/vj9OnT0syVm29HovXH0N+cQXU3++HSQiYhIAw3fjTZLoxgcqNz00wmvDrnwLijzuvWZycFHB1UcJFpYSrixKuLs5wdVHCTe0MH09XuKmdoXF1hpvaGa1cVdC4qeDuqkIrjQrubiq4a1Tw1LhA46pqON0qNTUVERERlg1KRFYnWeGaTKab9rqEEE3aC0tLSzN7Wb1RoJWzFvf4qKBQCCgAKBQKOCkUUCgUUChu7DHeeA5wcgKcGj5X3PRY+etjpZMCyl+fd1be+FzppIBSqYCzE+Cs/O15BVRKBZydFXB2uvFc4wQA/a8fdb9+swBRDVRVA1UA8m/zqtTUVLO/H/aG22afHHXbzN2u5uwESVa4gYGBOH78eMPj4uJi+Pv7m/36sLAwqNXmn440oJ/j7gk66nYB3DZ75ajbJvV2SXb+z4MPPogjR46grKwMdXV1SEhIwODBg6UajojI5km2hxsQEICXX34ZU6dOhV6vR3x8PHr06CHVcERENk/S83BjY2MRGxsr5RBERHaDlxQREVkJC5eIyEpYuEREVsLCJSKyEhYuEZGVsHCJiKyEhUtEZCU2NwG5+HU2GZ1O16zXa7VaS8axGY66XQC3zV456rY1ZbtcXJo2U59CCEvPl3V3qqqqcP78ebljEBHdUVPnfLG5wjWZTKipqYFKpeIcr0Rk0+x+D5eIyFHxTTMiIith4RIRWQkLl4jISli4RERWwsIlIrISFi4RkZWwcImIrMQhCnfnzp2Ijo7GyJEj8eWXX8odx6I+/PBDjBkzBmPGjME777wjdxyLW7lyJV5//XW5Y1hUYmIiJkyYgNGjR2PJkiVyx7Go7du3N/x9XLlypdxxLKK6uhoxMTHIy8sDACQnJyM2NhYjR47EqlWrLDuYsHMFBQVi6NCh4vr166KmpkbExsaKrKwsuWNZRFJSknj88ceFVqsVOp1OTJ06VSQkJMgdy2KSk5NF//79xWuvvSZ3FIvJyckRgwYNEvn5+UKn04nJkyeLAwcOyB3LImpra0Xfvn1FaWmp0Ov1Ij4+XiQlJckd666cPHlSxMTEiO7du4vc3FxRV1cnoqKiRE5OjtDr9WLGjBkW/fnZ/R5ucnIyBgwYAC8vL2g0GowaNQp79+6VO5ZF+Pn54fXXX4eLiwtUKhU6duyIa9euyR3LIsrLy7Fq1SrMmTNH7igWtW/fPkRHRyMwMBAqlQqrVq1Cz5495Y5lEUajESaTCXV1dTAYDDAYDE2aR8AWbd68GYsWLYK/vz8A4PTp02jfvj2Cg4Ph7OyM2NhYi/aJzc0W1lRFRUXw8/NreOzv74/Tp0/LmMhyOnfu3PD5lStXsGfPHmzcuFHGRJbz1ltv4eWXX0Z+fr7cUSwqOzsbKpUKc+bMQX5+PoYMGYKXXnpJ7lgW4e7ujhdffBGjR4+Gm5sb+vbtiz59+sgd664sXbr0pse365PCwkKLjWf3e7gmk+mmySOEEA436U1WVhZmzJiBBQsWoEOHDnLHuWvffPMNgoKCEBkZKXcUizMajThy5AiWLVuGr7/+GqdPn8a2bdvkjmURGRkZ2LJlC3788UccOnQITk5OWL9+vdyxLErqPrH7wg0MDERxcXHD4+Li4oZfDxxBamoqpk2bhldffRVxcXFyx7GI3bt3IykpCePGjcMHH3yAxMRELFu2TO5YFtGmTRtERkbCx8cHrq6uGDFihMP8xnX48GFERkbC19cXLi4umDBhAlJSUuSOZVFS94ndF+6DDz6II0eOoKysDHV1dUhISMDgwYPljmUR+fn5mDt3Lv7+979jzJgxcsexmE8//RS7du3C9u3b8cILL2DYsGH4y1/+Incsixg6dCgOHz6MyspKGI1GHDp0CN27d5c7lkWEhoYiOTkZtbW1EEIgMTER4eHhcseyqJ49e+Ly5cvIzs6G0WjErl27LNondn8MNyAgAC+//DKmTp0KvV6P+Ph49OjRQ+5YFrF+/XpotVqsWLGi4blJkyZh8uTJMqaixvTs2RMzZ87ElClToNfrMXDgQEycOFHuWBYxaNAgpKenY8KECVCpVAgPD8esWbPkjmVRarUaK1aswPz586HVahEVFYVHHnnEYuvnfLhERFZi94cUiIjsBQuXiMhKWLhERFbCwiUishIWLhGRlbBwqcU4ffo03nrrLbljUAvGwqUW48KFCxa9Lp6oqXgeLtm9Y8eOYenSpdBoNKipqUGfPn2Qnp6OmpoaCCGwZMkS3HPPPZg8eTKqqqowcuRILF++HImJiVizZg30ej1cXV3x2muvoXfv3nJvDjkyi030SCSTo0ePitDQUJGXlydOnDgh5s+fL4xGoxBCiLVr14rZs2cLIYTYsmWLmDVrlhBCiMuXL4uYmBhRVlYmhBDi/PnzYuDAgaKmpkaejaAWwe4v7SUCgKCgILRt2xZt27ZF69atsWnTJuTm5uLYsWNo1arVLcsnJSWhqKgI06ZNa3hOoVAgJycHoaGhVkxOLQkLlxyCRqMBABw4cABLly7F9OnTMXz4cISEhGDHjh23LG8ymRAZGYn333+/4bn8/HyHmmmObA/fNCOHkpSUhKFDh2LKlCkICwvD/v37YTQaAQBKpRIGgwEAEBkZiaSkJFy8eBEAcPDgQYwdOxb19fWyZSfHx8IlhzJp0iSkpKQgNjYWcXFxCA4ORl5eHkwmE3r16oXc3FzMmzcPnTp1wuLFi/HKK69g7NixWL16NdasWXPbww9ElsKzFIiIrIR7uEREVsLCJSKyEhYuEZGVsHCJiKyEhUtEZCUsXCIiK2HhEhFZCQuXiMhK/j/Y68HbtcTOKAAAAABJRU5ErkJggg==\n",
"text/plain": "<matplotlib.figure.Figure at 0x12117bef0>"
}
},
{
"metadata": {},
"output_type": "display_data",
"data": {
"image/png": 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\n",
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