{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "07238772",
   "metadata": {},
   "source": [
    "# Splines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "9fe9a50d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import sklearn\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "from scipy.interpolate import make_smoothing_spline\n",
    "\n",
    "from sklearn.model_selection import cross_val_score,train_test_split\n",
    "\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.neighbors import KNeighborsRegressor\n",
    "\n",
    "from scipy.interpolate import RBFInterpolator, InterpolatedUnivariateSpline\n",
    "\n",
    "cm = 1/2.54  # centimeters in inches\n",
    "\n",
    "np.random.seed(0)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5f9ffa22",
   "metadata": {},
   "source": [
    "## Preprocessing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "931f81b2",
   "metadata": {},
   "outputs": [],
   "source": [
    "data0=pd.read_csv('data/spnbmd.csv')\n",
    "\n",
    "# train-test split\n",
    "#data,data_test = train_test_split(data0, random_state=0)\n",
    "#(data.shape, data_test.shape)\n",
    "\n",
    "# no train test split today\n",
    "data=data0\n",
    "mal0=data[data.sex=='mal'].sort_values('age')\n",
    "fem0=data[data.sex=='fem'].sort_values('age')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0d709561",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'Asian', 'Black', 'Hispanic', 'White'}"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "set(data.ethnic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "d2d21c09",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0701538461538462"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "temp=data[data.sex=='mal'].sort_values('age')\n",
    "a0=temp[(temp.age>21.5) ]\n",
    "a0[(a0.age<22.5)]['spnbmd'].mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3ea3752f",
   "metadata": {},
   "source": [
    "## Spline\n",
    "\n",
    " -requires unique sorted values\n",
    " -weights to specify multiple records; calculate the average"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "516533e3",
   "metadata": {},
   "outputs": [],
   "source": [
    "mal=mal0.groupby('age')['spnbmd'].mean()\n",
    "fem=fem0.groupby('age')['spnbmd'].mean()\n",
    "w_mal=mal0.groupby('age')['spnbmd'].count()\n",
    "w_fem=fem0.groupby('age')['spnbmd'].count()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8cd21200",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mal [[1.0467112]]\n",
      "fem [[1.07211489]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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6AVaAVY2nnXYa77//Pvvttx9HH3007733HrNnz2bFihVcdtllHHzwwUyYMIGHHnqIpUuX8u6773LOOefQ0NDAv//9b7p168ajjz5Knz59Alk1EckCVUYXjXavqpInFw6WwlOaXYQBp3xvvPFG1l9/faZOncrSpUvZY489eOmll5g6dSrnnnsuS5cuBWD27Nk88MADvPzyy/z+97+nZ8+evPbaa0QiESZOTHbJRhHJpYTlN+o2Kh2xFNfll6sCXtJSmhmsEFO+Tz75JJMmTeLqq68GYPny5Xz00UcA7L777vTq1YtevXrRu3dvDjroIMBfu3DmzJmBLF9EgpP0DDN1G5WWPLhwsBSe0gywQkz5Oue4//772WyzzVo9/uKLL9KtW7eV98vKylbeLysro7GxMbA2iEgwksZR6jYSkQ6UZhdhiCnfffbZh3/+85/Exkx97bXXApu3iGRX0jPM1G0kIh0ozQwWhJbyvfjiixk1ahRbb701zc3NDB48mIcffjjw5YhI+No9w0zdRiLSDiu0q9NUV1e7GTNmtHps7ty5DBkyJEctKizaViIiIsEws1ecc9WJnivNLkIRERGRECnAEhEREQmYAiwRERGRgCnAEhEREQmYAiwRERGRgCnAEhGR4pLw+kYi2VW642CJiEjxSXp9I5HsUgZLRESKR6LrG4nkgAKsAM2aNYuBAwdyww03dGo+1157LUOGDOG4444LqGUiIiUi6fWNgqeeSGmPuggDVFVVxd13381vf/tbTj/99Iznc/311zN58mT69+8fYOtEREpAu9c3Co56IqUjymAFrF+/fsyZMyfj15922mm8//777Lfffvz9738H4Pbbb2eHHXZg22235Ze//CVNTU3Mnz+fzTffnBNPPJFNN92U4447jsmTJzNs2DA22WQTXnrppaBWSUSksEQicOGFoUY86omUjhRnBiuVlPCBB8I557RMf+KJ/vb113DEEa2nTeObc8EFF1BfX8+HH37IwIEDWz2366678t13363ymquvvpo999wTgBtvvJHHH3+cqVOn0rdvX+bOncs999zDCy+8QNeuXfnVr37FHXfcwW677ca8efO47777GDduHEOHDuXOO+/k+eefZ9KkSYwePZqHHnoo5XaLiEjqYj2RsQxWiD2RUqCKM8DKkccee4ylS5dywAEHMGfOnFUCrOeeey7teU6ZMoVXXnmFoUOHArBs2TL69evHbrvtxuDBg6mqqgJgyy23ZPjw4ZgZVVVVzJ8/v9PrIyIiiWWpJ1IKWHEGWOnmauOn79s3o1zv8uXLOf/885k0aRLjx49n9uzZ7L///q2mSSWD1ZZzjhNOOIExY8a0enz+/Pl069Zt5f2ysrKV98vKymhsbEx7HUREJHWRiAKrlNXVlVw0WpwBVg5cccUVjBgxgkGDBlFVVcWkSZNWmSaTDNbw4cM5+OCDOfvss+nXrx+LFi1KGKSJiGRNCR4spRPq6mjafTjW0ICrqKB8ammcEaAi9wC8/fbbPPXUU4waNQrwZxPOnj07kHlvscUWXHHFFey9995svfXW7LXXXnz22WeBzFtEJG2x0+cuvtj/1RgF0oEPJ9bi6hsoc0001zfw4cTaXDcpK0LLYJnZOOBA4Evn3FYJnj8OOB8w4DvgdOfcG2G1J0ybbbYZL774Yqv7r776asbza1s/ddRRR3HUUUetMl18EDdhwoSV/w8aNCiwAE9EpJVEp8+VQDaiFISVmHyGGo6gAkcDK6jgGWoYEdzs81aYXYQTgOuAiUme/wD4iXPuGzPbD7gZ2DHE9oiISGfp9LmiFOa4XpuMiLD/uCkMW1HLC11rGDOiNALy0AIs59yzZjaoneenxd2dDmhUTRGRfKfT54pSmInJSATG1EaorY0wpqZ0PjL5UuR+CvBYsifNbCQwEmDAgAHZapOIiCRSBKfPqU6/tbATk0XwkUlbzgMsM9sdH2Dtkmwa59zN+C5EqqurXZJpMLNQ2lgsnEu46UREMlaIgYouc7MqJSaDl9MAy8y2Bv4F7OecW5jpfLp3787ChQuprKxUkJWEc46FCxfSvXv3XDdFJBiFeGQvMoUaqKhOP7FSzDKFKWcBlpkNAB4AjnfOvdOZefXv358FCxbw1VdfBdO4ItW9e3ddQFqKQ6Ee2YtMoQYqqtOXbAhzmIa7gBqgr5ktAC4FugI4524ELgEqgeujWadG51x1Jsvq2rUrgwcPDqLZIlIICvXIXmQKNVBRd5hkgxVaXU51dbWbMWNGrpshIrmkDFbeKIWe2lJYR8mMmb2SLDmU8yJ3EZG0KQWRN4q9bkexvGRKAZaIFKZiP7JLXlBvtGRK1yIUERFJIlZnVl5eWHVmknvKYImIiCSh3mjJlAIsERGRduRVb7Qq7guGAiwREZFCoIr7gqIaLBERkUKQqOJe8pYCLBERkUJQCBX3dXUwZoz/W+LURSgiIlII2qm4z4vSLHVhtqIAS0Sks/Li6CYlIUHFfd7ENRo0rBUFWCIinZE3RzcpVXkT1xTqxSlDohosEQlGqdZeqPBYcizd0qzQvqqxLszLL9cPDZTBEpEglHIWR7/aJcdSGgw12o09q7KG4aMi4X1V82rQsNxSgCVSjLJdE5Q3fRQ5oKG+JQ+0G9fE/QDavKyC7Zum8EJzpOS+qtmmAEuk2OQim1TqWZwgfrWrUF7CEvcDqItrYI+yWqZbJL++qkX4+VeAJVJscpFNapvFAV/kkcrOMtc71lwvP9aGUu1ilfDF/QCyigp+dk0NPRbmUSxTpJ9/BVgixSZX2aRYFiednWWud6y5Xn5MsXex5kMQW8ra/ACqikSoynWb4hXp518BlkixyXVNUDo7y1zvWHO9/Jhi7mLNlyC21OVz8XmRfv4VYIkUo1zuTNPZWeZ6x5rr5cdkMyjWCRCSa20/g7n+URgSc87lug1pqa6udjNmzMh1M0QKX5gH2nTmna0DfrLl5Mt2yIb2sklhtVUZLIlXZJ8HM3vFOVed6DllsESKXaIDZ9g7uY4yaIl+wSZpaiDaW9+wsn25PpAk2pjJsklhtrVIsxOSoRLKaCrAEilmyQ6cudzJJWlTqPFILtY3D7dx0i7RsNuaz/U/+Srfsp+ZSLQO+dItnwUKsESKWbIDZy53cknaFOoxPhfrm4fbOGk2qYQOegUh19nPICRbhxLKaCrAEilmyQ6cudzJJWlTqMf4XKxvLpYZyxhUVrbemJWVrccla9uWAjjo5SShk6ssUjF0o7W3DiWS0VSRu0ixy8euhiRtysemFoy2GYNrroGFC31wNWpU/mVD0nizc5LQyWUWqZgzWEVGRe4ipSwffy0maVOmTVVgxqoZg4UL4cILfeYq4GxIp7d3mgffnCR0cplFKoCMYoeKYR06KbQAy8zGAQcCXzrntkrw/ObAeGB74PfOuavDaouIFK92j9WlFHkl62MNuO+1U4mJ2Pvx0UdpBS85KRHLdV1aPv4wSlcxrEMnhJnBmgBcB0xM8vwi4NfAISG2QUSKXNJEQ4l0UayULGMQcCYh48RO/PtRXg5dooefFIKXVVaBOhhTG27grAyMdFJoAZZz7lkzG9TO818CX5rZAWG1QUSKX9JEQzEUCqcrWcYgwExCxomd+PcD4NRTYcCAlIOXlauQzcA5zDHSFLgVvYKowTKzkcBIgAEDBuS4NSKST5ImGnLdxVOkMk7stH0/RozILLjIdeDc2eCo1DKrJawgAizn3M3AzeDPIsxxc0QkzyRMNKiLJzQZJXaCej86EzjnQ3DUJkD8cGItd9ZG9BEtQgURYImIZCTEIttSuoRhYJK8H2mtb6aBWgjBUUbZs7gAsalLBSeMq+H5JiWzipECLBHpWNEe8TMT5pmLdXVwYU0dw1bUcmHXGsbURop6k2cU92QSOAccHGXc7RwXIN7xUQ3P3xIpqTLBUhLmMA13ATVAXzNbAFwKdAVwzt1oZusCM4A1gGYzGwVs4ZxbElabRCQDRV4zkkk8lNGZi8kW1NQEjY1+ejPmTXieRxv2ooIGGhoq+M9tk4nstLOf1iygtc4fWSupCjg46tSPjWiAuEkdVNymMsFiFeZZhMd08PznQP+wli8iAcl1UXGIEsZDOzlYsgS++QYWLfJ/Fy+G77+HpUth6VJ+/t5S7upyDG+yKTt1mcHIJ6+Eo//qt83y5eAcLFsGBxwAq60GP/zg5xVTXg4vvwzbbQe33AKnnw6ffgrrrcdBr1xKT5YD0IXljLhpF7gprtFdukC3bvDuu7Deen7E9n/+E+bN8wHYmDHw8MN+hbp188vv2bPlb+z/88+HsjKYMQO+/hr23dfPf/58WLECevWCNdaAHj1CDeyydi5CwMFRPjVJ8pO6CEWkfYV8Np5z8N138MUX/vb55y3/77svtc/szMD6d5jQfDy/r7+S2trdiSx8BA46qN3Zbgjce+W2PNi8KT/tvZTKsXN9AFZTA127toz1tMMOsP76MHu2D9Sc88HKLrtAv35+ZjvsAKNH8+KbvXh6AhxVczhrvP6sD2jLyyk78QTYcEP/Wud88NPQAKuv7l8/YAAMG9YSBPXo4YOohgYf1C1Y4AO8pUtb/paX+1HeAcaO9Uf5jz7y908/HR5/vGVly8t9oBULuNZYAwYPhttv98/feqvPwP3yl/7+k0/6+7FpY7devfy2aSPlICOIbuo8HPgyD5vk5UlZwCrNiH4vAHj9df9jYZNNoLkZrr3W/xhavNj/SPrZz2CffXLWdl2LUCSf5clOLm/akUhDAzz4IAwZAltv7TMwRx/dEkgtW7bqa8zgmmuoG/prRuz+MdfVn8rVFRfxp9rdiKz/IfznP9CnD6y1lv/bu7cPaFZbzf/t2dNnfxJJtK066GZt+/SL19RRtbA2nO3tHNTXQ/fu/v4nn8C338KWW/r7zz7rg63vvvMHqSVLVv1/zTXhvvv89Pvt57N2U6f6+5tvDm+/nXjZ3bv7YKumhrpR91BbCyfNOIN1d93EXy8R4K9/9YFYfFD34Yfw61/74LKiwgdxu+4a7HaRFkGXBTjnA/slS/w8Bw3yjz/9tH9u+HB/f/Ro+PjjlZ+1JQuW8MEbS1jdLWENllDZdQllw/eAxx7z0w8Y4F87fryfT0WFD+5XW81/Zy+9FEaO7NSm6IiuRShSiPKp9ikXP7Od811X773nu7/ee6/l9tFHcMghvmusrAyOPRYuusgHWLED8yabwDrrtNzWXbfl/759oUsXIsDEqRtSW/s4f6qJreJA+N3vMm93om3VQZqmbS/swwsjVF0Y0vY2awmuADbYwN9idtstvfk99ph/r2ImTfKZs2QB2pIlfFg2eOVHezs3n6qevVjZgt//3gdSySxf7oOt117z96uq4JRTfIC2dKk/oMYCs169Wm7x3aQbb+wP8k1NPqvZp4/P/JW62I+D+fN9EN7c7P/eeaf/f+lS/6YdeKCfftIk/10880x//+KLfdd33Hu98hb7jGy2Gbz1lv//T3/yf2MB1r33wmefrcx6frN4DT50A1hCL76zNdg2sgaRY7Zoae/EibD22v5/M/jqK/8DqEt+hDb50QqRXAk6MxPk/HJR+5SrTNXcub776sc/9jviXXbx3WpL4s55MYP+/WGjjfwOeccd/eNduvhp+0dLOvv0gaeeSnnRWYsdEy0our0PrKzh8opIZr2w2XrP2ltOfI3Wppt2OKs7464/fWD5I1y+BVwYe/KHH3xAFgvKvvsOpk+HCy7wgVeXLnD88X5a53xQve66/v7SpfDSSy2vS5S9BD4++RI2vPWP/oDcvz9cf73vGn3jDZ8Zi69XiwVmPXr4mraKCh/E7bGHz7b8/e/wi1/AFlv4HwIPPtgyXexvly5+G5WV+dvOO/s2f/GFr4HbZRefcVmwwH8Xmpv9xmlqSvz/fvv57OrcufDCC3Dccb59zz/v79fX+9vy5S3/x98mTvRBzA03+K7eF17w7++uu7aMtB/T3AzXXedv0NIFDn5dp0zx39vaWpg1y2dD11jDd43Hdw/H/l9nnZZ5jx/futv49ddbLfrTOjg6/jfmlUD8R6/tF2XNNZN84nJDAZaUrqAzREHPL9u1T2FnzJqbffZp9mx/++EHX5ANcPLJPqsydao/EG21FWy/vc80bLRRS8YhPvMSb8iQlFav03FIkMFM3PauqqjgxWum8PDCNAacrKvzB8rx41vOQgwryxnwZ6Pdj3aXLj54WGutlsciEdhpp1W3vRnccUfLdP36+eL/mBUrVgZrr01bxhkn/UDFiqV8cUd/xv0CIlWrw003+QAH/AH6lFNa16zF/l+82De4ocFnVsEHSLfc4ut8ttjCf67PO6/jDfDII7D//n67HnqozwAde6wPMH71q45f/+qrfvvU1vrpDzrIB1hPPgmXX96yHbt1S3yLBUirrebn45yfV3Nzy3bdcUcfDG29NWy7rZ82dovVEt54ow8QM/1sDB7c7tMFfxKAc66gbj/+8Y+dSCBGj3auvNyXDpeX+/v5ND/nnJs2zc9n2rTOz6sjQba/udm5995z7u67nTvnHOdqapzr1StWpu1vVVV+Ouece/FF5+bMaTWLmTdNc1P3Hu1m3pTeuifaZNOmOdejh1+tHj0y3JyBzCROZ7Z3rC1mrjm6PZvL0n/PUv54hfDZzuZH27lwvp6raGx07rvvnPv6a+c+/dS5Dz5w7q23nHvzTedmz3Zu1izn3njDucWL/fSPP+5ct27OlZX593PSJOeee85vlOnTnXv5ZedefdW511/3r33zTT+/Zcv865csce7jj/1ynXNu+XLnfvih5X46Mv18Z2XD5i9ghksSryiDJaUnloWorAw2QxRGximd/qvOZlc60/76enjlFb9cM9/dclN0bIGKCv8LeMQIn5XaemufcVpttZbX77BDq9nNurmOjX45nCE00PBkBbOYQtXIjtcpWaIlkN7WoLtsO7O9Y22J1rU0YdQ3V/BeZQ1VKc6i7ba65hpYuDDJxyeEz3a2y/qykhAuL/c1QLEzPDvy6qs++9jc7Bs2e3bL2Z2piNWXxXTrll5742WaLirks4xDpgBLSktaR5U0pbuDCqm7KeMunHTaX18P06b5rry114bbbvOn6b/zji8uP/ZYH0wNHerPTquoSKspC++vZQgNdKEJRwML76+FFAKsZDFQIMeAoA8knen/iLalaXkDK1w54zmZO8pGcMDCSIcBVuxj99FHLduqvt73UjU3JzmLseD7arKwCpl8n/MtOMkk6i2Cz0ZokqW28vWmLkLplHxJZ+dTd1Mqmpp8V8Vf/uLc3nv7NoNz48b55xcscO7BB333SABm3jTNLaWHa6DcLaVHx92E0f6mmTdNS7pZA+mSyna/VjvLnHnTNPfgDqPdbl2npfwxiv/YVVT43qnycue6dPG9VODcsLJprqFrgJ/NUtCZ73MuPlMSGNRFKBKVL78Y2+tuypdfwkuXwuTJ8L//+aLczz/3j2+5pT+Las894Sc/8Y+1PdW/k6pGRpjFFBbeX0vl4TXtdw+mWCweSJdUtvu1kmQm6+pg+KgIDQ0Rysvh1FN9D2xHTYv/2IF/3YABvrd81Cj/3B5WS5emBmguvpH7Q9OZ7uO8HWlUOksBlpSWfElnJwuIMu3qS3W9OgreGhv92UfLl/vLsHz3nT+1et99/WVf9tzTn36dwazTjRurRkZS6hZse3CrWlgb3hhS2ZbkwN02UBowILVtGv+x69oVDj7Y9+h+8w1ceaUfwmhgtxqaJlZQRgOuSwXlNTXU1/uhpw4+2J/89sknvhe4sXHVG7SMRvDrX/uT8j79FA47zA+TdMABvtTojDP8R61799a3Hj1a/j/8cH81oS++8Ff/2WcfP6rCokV+7NH4Ya5CvqJP6hs2Vz/ckg1wG8S+Lp8HGs5j7QZYZrZ9e887514NtjkiWZAPvxiTBURh/hLuKHg77TRfQ/X009C9O++PHMP0bzbnRyfsyk67tV9D1dGsO10i1t4OPh8ObmlI61iVZN0SPdzUBF9+6YOZL7/0QzxVVvqABvzg9jvt5Lf95MlwySV+OKW2bifCv5hCDbX02b+GcyMRujTBf//bMth7164+mOnZ0wdJsVt5uX+8udnfevf205eV+REQ4kvxzHzt15IlPp5ftsz/jd2WLYNdyuvg8Vo+7V3DL86IMHmyD7DGjvXtB9iJOmqo5bmyGmb3irQKusaOhepqf/7FxIm+fnzddf1A83Pn+jbF39ZYI/kA/e0K+Ydbh5+ZRF8wCGZojXwa8LjAdJTB+r/o3+5ANfAGYMDWwAxaD/klIulIFBCFGSzEB2/19XD11X6coHvu8T//t9/eH32co266Mfz6M3wz7up4n9pRXNj2+YkT0zgWdbSDz5esZArSPlbFrduirWv4qk+EzaIPH3OMH1MT4Kij/ADYsQxSzJ57tgRYS5f6wCX+Y9erV8uQU2uuGT/geYSePSMrT4YrL2/pIQY/3FRtbdxKdbDt11239eUNt9oq7vVJuGl1sKffWNtWVPDp/VNYc2ffPTp6dHS8Tqtjig2nS1MDjWUVXLfXFGatHlk5TmnspLr33vPnYZx9tr//4IOJT9Yz80FhLOCaNMlfBvKJJ/xtzBg/z1df9WOCtgrQtoyw+o6RzAK0dqT0mUn0BYRgznrNxYDHRaLdAMs5tzuAmT0AbO+cmxW9vxVwWeitEyk1YQYLu+3mj5Sx9MIDD/hBPD/4wA+SGHfNrnT3qR3FhfHPl5enOTZmKo3Jh6xkCtpblYYGeP99HwzE/tbXww03+HU7Yg8fIE2b5qd/+20fH2+wgY+NN9jAZ3fWW8+PD9mvX8v1pMGX0sW7+OIAVijNs3LTyd7ZM7UrN5Y1NLDe27VwmO8eXbHCf4R3s1q60ECZa6LCNfDb7WshQffwkUf6W8ypp/ruxm+/bbl9803r+99+2zKSyMyZMG6c/00CfgSSm29etc1lZa0DtJdf9p/3iRN9xiw2ru4jj/huz/hsW69efnSH2P/duvmAL6XvYrIvYBA/1gosQ5xPUq3B2iwWXAE452ab2ZCQ2iSS/8KsSUgWLGS6zI8+8hHNbbf5nWS3br6m6oIL/GjNCQpX0t2ndhQXxj//0Ud+8OuUfxAX2A4+1d7M8nI/6Pjhh8Obb/r/469S0rOn75KLDZp98cWt36rnn8/CynSkbVY0fqyHDi5o3WFgnUL36AvlNTirgMb0PhuVlf6WqnPP9beYyy7zv0faBmTffusHfP/2W58xLC/307/2mr+GdizAuuYa303bnsGDfaAdWyWzllW84AIfx/bo4W89e0bY6KQp/OijWhZW1fDdBxE22AB+Ev3SvT+ghvL1IwyMzjuW3Yt19bargDLE+cZc/EU6k01kdhewFLg9+tBxwOrOuWNCbFtC1dXVbsaMGdlerEiLXNQkZLLMZct8JfKkSS1XrD/pJH+R5J49U1pkGPvUjDZfPlxvL8WXx6/bfffB3nv7A9ntt/tC8htu8MHRq6/6JOLGG/tAaost/HVwN9rI3/r1y2HRdqriVzi++Kq83F+yJa4fbswYHyQ2NSV8Ovn8E7wfrR7G35lVWZPepYbSW2QAE7eIBWPffQfff99y6cX4/3v08Gd2gv/avv++//xEIn6Tz53rv+LLlvnYtq2f/KSlp3DTTX2W8+67/f09V6tj6A++bu2NnpG4QK0laNt335Ys569+BbvvDj/7mX+r//rXlukS3bp39xnV9dbzu57Fi/PqGsyBMrNXnHPViZ5LdXVPAk4HfhO9/yxwQwBtEyk8uahJSGGZdXUw7Ynv2LfyJbY8a7jf0zU2wvnn+0FABw5MOOtkwup1y+gHcTa6ADsZOH/5pe86Wr7cH1SWLYMDD/R1UkOH+i6jzTbzgdSuu/ouqdtv79zg2zkX/2bGj/WQIJuUciKybdCS4D1o/XCEOiLZr+fuxOcl1oWYqvHjW9+P1bDHNDX5z90PP7QEXfHBzPXX+wL+WLsfWzGccvN1azceOIW5a0ZYtqz16+OD+6eeajl5+Pvv4Q9/6LjN554Lf/mLD67WWstfE3vUKN+1PWxYxwHaCSf4HydffeVPVjjySP/dKSQpBVjOueXA36M3kdKWiy6rDpYZ29dftfz3bORu5uVNP2XoPn1WLbzJE3lZMpVm4PzVVz4D9fzz/jZ/fuvny8v9L//YgenAA/0tJv5axgUt/s2sqkoaOacUWGcYtAT1myet+eRR8Xd5ect1mBPZc8+4O7W1dG1ugGjd2q+3rk1YtxYv/vrZffr41Y0FYsluP/qRn76iAv72N18CCj6TddRRiV/z1Vct/++9t5/+00/hj3/0V9sqygDLzA4ELgcGRl9jgHPOrdHuC0WKURg1CR11NSRb5ltvwV//yjvdRtLQsCN/d6O4u+xYDnxlLYbu0/lm5aMgegsTzqODIPaHH+DGG+HHP/bdL59+6ke2WGcdn5E680w/JMCKFb64uW37SmIooQ4i5w4D6wyDlqB+86Q1nwKrDVypM+2Ofoi71tTQNRJpyYq1o2fPlrM3wXcdjh2b+iK32aZ1bWJBSTbEe/wNmIcfmsFSmT7Mmy6VI0Unk8tsvPiic4ce6pyZc927u3kX3BLolXfyVRBXGGp3HnGXLfnkE+duu825f//bP7VihXO9ezv3hz/4+42Nzr37rnPNzekt8ycV09z800rg0iiZXAKmE29wUFecSWs+hXqZmyy/N8WMAC6V8zEwOzozEQlSOr/aZ8zwlaePP+6LOH7/ezjrLDbq148pPy3+DEkQvTLJ5uEcvNEjwn8bIvz3DH/mF8Auu8DPf+5rWt5/33eRgO+W2Xjj9JY5tKmOR5uG0/2mBrgt+BMk8iZLFvYVCZK8NIh1Tms+Qfd1Z+sNzKTdtbW4+gasucn/1XhYHUo1wDoPeNTMngFWnq/gnPtbKK0SKSWppOxnzvRDV//3v36gnX32gXPOaVVckZd1TQELolcmfh5du/qakLPO8idbfvSRL+6NRPwZW/vsA1tv3fLaWHCV6TL3WF5LhfPjNgVdt5NXA253JhKO+yAHEm/kTdTZgbx6A1c1q7KGjZor6EoDK5or+OzbSjYaMyb/t2sOpRpg/Rn4Hj+ie/vXzBCR9HT0q/322+H4431gdeqp8O9/+0F0nn0273bCYQui/G3HHf3me+YZeOMNf728Hj1gr73g0kt9Ifp77/llLFuW4aVTkrT73Yk12Pj0x21KRR7VXAcSCQcSb+QoaMkopsurN3BVDy+M8EjZFHZtrmWRVXLd30dBcw6DwUIInJP1Hcbf8N2DOa29it1UgyUl4fPPnZs92///1VfOXXKJc4sW+bqJ8nLnwP8dPTq37SwwM2Y4N2CAc9On+/szZzr3n/84t3RpyzSZlJrkQ91O2CUyaTc7w/WMvey00wL4qHfy+5LVUqU8r3GKb97FXUa75rIQ90Mdbfg82lYEUIP1qJnt7Zx7MrxQT0QAXwy0557+9Jvp06FvX3+eMuTHmUuF8MsxaskSP7ji2mvDoYf6mqlttmkZ46eqyt/ipZtIyOj6giFstzAH3M4oEZTBesYvp7y8ZSynjD/qnfi+ZJr8yjgRlecjpsc378DKGmxUSPuhVDZ8nmf7YlINsE4HzjGzBmBF9DHn2hmmwczGAQcCXzrntkrwvAH/APYHfgBOdM69mk7jRYpGczPce68fZb17d38e87rrrjqUd1g74VSDpjyvEwF/keCPJtZy+4IaRk+N8MMPcPTRPsDq3dvXWiVTV+frsIaV1bFLcy0vlNdQU9P++uXTvj6sOrxsrWP8csD3iA8Y0ImPeie+L5muc6d+AwVdfxawluZFoCqkYDCVDZ8PPzRTkSy11dkbsBuwPUm6F/GB1WP4MbV2Al5MZb7qIpSCkWr/wosvOldd7dPtt96anbbFSyfd3rbL5bTT8uY09R9+cG7ShdPcD9bDraDcLaWHG/PTaW769PSGUhhWNs0tpYdrtHLX2K3j7oc86q0ITbbWMZ+2ZWfa0tle4HzaDlmX6srnyRAZBNBFiJkdBuwCOOA559xDHQRuz5rZoHYmORiYGG3gdDNb08zWc859lmqbRPJWKpmehQv9xdj+9S+frfr3v/21A7Mt2S/GRD+h216tePx4fzme9rJZIf8U//RTn/C76SY4dWEt+9FAF5ooL2/ggp1qYcfUlhnbDLs211JBA+WuyRejT5zYbvvzvGcnENlax3zalp1pS2czifmUFc26VDd8IZw2nSzycq2zTdcDT+KvSXgS8DgwNoXXDSJ5ButhYJe4+1OA6o7mqQyWFIT2imubmpy76Sbn+vTxz/32t84tXpy7tib6xdjer8h0qpBD/Ckey0rdc48fb/WQQ5x75bpprrkTA1XGZ7Cay8qdq6hwrlu3Ek0lSK6UYgYrlYTUzJumual7j3Yzb8qfDUIAGaw9gCHRmWFmtwFzAorxOmRmI4GRAAMGDMjWYkUyl6xG4NVX/fVVXn7ZX5xr7FjYapUSxexK9ItxzJjkP6Fjvxzr6uC229qvgwjhp3h9PRx2GOy8sx9n9bDDYN682LXPIrB95gNV+s0Q4b3KKVQtrPUFWbfcUqKphPysA2or79uYQQPzKZOXDakk/GfdXMdGvxzOEBpoeLKCWUyhamR+b5hUA6x5wADgw+j9DaOPdcYn0fnE9I8+tgrn3M3AzQDV1dUaTV7yX6I95KxZsMMO/qzA22/33YFti9hzpW26PZUi0lSOAgEVo06bBvfc44vVIxF/VmDv3v65Ll1aLiybcF0SSXLQa1XES4pBZJEqgPMZ8r+NbRt4zTW+NCCFqKkQesCCksrvsIX31zIk2v3vaGDh/bVQyAGWmf0PX3PVC5hrZi9F7+8IvNTJZU8CzjSzu6PzW+xUfyXFJLaH/Cz6sd5qK7+DPe44WGutnDatQ0HVQXTyp7hzfpP97nf+/5tugqlTYcKEtGbTWjpH5VJLJcQphDqgvG9jfAPr6/0VwZub8zQazJ62v29S+R1WeXgNDU9W4GhgBRVUHp5gojzTUQbr6kxnbGZ3ATVAXzNbAFwKdAVwzt0IPIo/k3AefpiGkzJdlkjeuvFGHx3MnAkbbeR3sIUiqJ/QGc7nued8F+Bzz7U8tmJFAAfRdI/KpZRKiFMIZ8LnfRvjG2jmP3PNzXkaDbYWVtdrst83Hf2OqRoZYRZTWHh/LZWH1+R99yB0EGA5557JdMbOuWM6eN4BZ2Q6f5G8Vl8P3br566589BGst16uW5R7Ke6xX30V/vAHeOwxv9nOOQeuu84HV4EcRPP+qJwfCiF5l/dtjG9gZSWMGlUQn7swu16T/b5J5XdM1chI3ncLxkupBis6RMNVQD/8uFVGBwONipSkJUvg7LNh/nx46ino3x9Gj851q3IvhT32Bx/ABRf48Vb79IG//AXOOMMPaH/YYQEeRPP+qJw/CiF5l/dtjG9gVVVBfO7C7Hotpd83qRa5/wU4yDk3N8zGiBS0qVPhpJPg44/h/PP93imIKwUXgxT22JdfDg8/DJdcAr/9bUsRO4RwEM37o7IUpSx87oLo2gszCCql3zcWHXmh/YnMXnDODctCezpUXV3tZsyYketmiLT44Qe46CL4xz9gk038WWd5utfI2SntCTJYjUMj/OtfsNNOsO228MUXfszSDTbIYrtKRMbve96PgSDxguzai3/rQR+DZMzsFedcdaLnUs1gzTCze4CHgPrYg865BzrfPJEC9tprcMwx8PbbvoD9yithtdVy3aqEcnpKe4Kfrd9/CxdfDCNG+ABrnXWijZxYqz15AGIHyLalPym/73k/BoK0FWTXXvxwd/oYZCbVAGsN/Jl+e8c95gAFWFKanPMZq/PP9+NaTZ7s90IdyWFGIOentEcifDIgwj//CX/eAdZc04+3OnBg9HntyQMTvynN/IlraZ+8lvMPjKQrjK49fQwyl1KA5ZzTEAoi8e66yxez//SncOutPsjqSI4DiFwWl65Y4ePRP/7RdwMefjgMHQqDBsVNpD15YOI3ZVmZv2ykWZrveylVIxeJMOqb9DHIXKpnEf4I+AewEz5zVQeMcs59EGLbRPLP4sW++vqoo6BrVzjiiNRHY89xAJGr4tLaWn824JtvwkEH+UBr8OAEE2pPHpi2mzKNAcRblFI1chEJuo5eH4PMpVrkPh0YC9wVfeho4Czn3I4hti0hFblLzlx3HVxxBbz+Oqy7bvqvL7EusEWL/BirEyb4TNW11/oAq10qqg6MNqVI+IIocu/pnPt33P3bzezczjdNpIDssQe89RaskeHwbwXwUzDdg3Ki6Z3zY1n9+tc+yLrwQj9waM+eKTRAwycERptSJLdSzWBdBXwD3I3vIjwKWAv4K4BzblGIbWxFGSzJqrvugmefhRtuyHVLEgoyS5Fugi3Z9I8+CgccANXV8K9/wTbbdK5dIinJp5Rd0G3Jp3WTVoLIYB0Z/ftLfIAFfjT3o6P3f5ToRSJZEcbOp77ej3Z5/fUwbBgsXZp8+IUc7fyC7nFMt0Ss7XVs77nHT7/vvnDnnXDkkb64WiR0+dT9HnRbwl43BW+hSXWY6fOBbZxzg4HxwBvA4c65wc45BVeSO7Gdz8UX+791dZ2f54cfwq67+uDqd7/zI7S3F1x1tPy6OhgzJpi2xamthe3r6zi3aQzb19dRW9u5+cUKo8vLU6sxj5++rMxnq7780v9/zDEKriSLEv06KJa2hLluYew/ZaVUM1h/cM7da2a7AHsAVwM3AFkvchdpJegz8x57DI4+2qdkRo/2BUSdWX6Ivz4PrKzjN83DqaCBhuYK3qucAmQ+73RLxHbaCR55BKZP9wPYf/strL12xosXyVwWz0DtMOETdFvCXDcNjRKqVAOspujfA4BbnHOPmNkVIbVJJHVB7XyamuCyy/xZgmb+dvnlHUcaNTU0damA5gboUkF52+WHuAOrWliLK2vAmpsoL2ugamEtnQmwIPXC6M8+g1NP9Vmqhx5KfaQKkVBk6QSSlH4vBd2WMNdNQ6OEKtUA6xMzuwnYC7jKzLqReveiSHiC2PksXOizVpMnw49/7C9/k+Kw13VEuNBNYRi1vOBqGEOkdYgT5g6spgbr5udtWdo5OudrrX71K1i2DK66KvRFiqQmC6dNpvx7KYzBqMJYtwI4s7mQpVPkvi9wtXPuWzNbD9AwDZIfOrvz6d7d92/deisMGdL6J2oHQUttLTzfFOEZF6G8KcEON8wdWJZ3jl9/7QOr++7z3YMTJsBmm4W6SCkSxVJHXZQJH43nEZqUhmnIJxqmIceKZU/pHNxxBxx6qC9gb2pqqcpOYx3z6eSlMD38MJxyCnzzDfzpT3DOOdAl1Z9nUtKK7TtSLLtACUYQwzSIFNeecs4cOOEEX0x07rmtT3lL4xddsWfYly3zm2fsWD+e1VNPwdZbpzePXB6QdDDMvWKro0434aPPYOlSgCWpK4Y95bJl0KMHbLUVPPMM7Lyzf7wTe8FizrBff70Prs4+24800a1baq+Lbc7KShg1KjcxeT78HtDBtUi71VKUD59ByR0FWJK6Qt9TPv+8v0jzrbf60TB32cU/XuR7wXQP8s75xN7668NZZ/kR2X/yk/SWF9ucZv58gRTPGQhUGL8H0tmWRf6xSijR9in2LG97iuE3qWROAZakrlD3lM7BjTf6i+MNGgQbbtj6+SLeC2ZykB81Ch54AGbPht690wuuoPXmLCvzva9m2Y/Jg/49kO62LOKPVULtbZ9izvK2J4zfpMqKFg4FWJKeQttT1tfDGWf4rNV++/lruKy5ZutpCj0z1450DvLO+UDo+ONh8GDo1SuzZbbdnNdc40fCyPYBIejfA+kGTEX8sUqo1ALKVAT9GSy0rGipB4MKsCQ/BfHN/OQTOPxwePFFuOgif/pbouu3FGpmLgWpHORXrPBXyvj+e7juOt8lWJ3wnJjU5NPmDPL3QLoBUz5th2wotYAyVUF+BgspiC20YDAMCrAk/wTxzXz5ZTj4YFiyxA/cdMQR7U9faJm5FHV0kP/0U1+W9vzzMHKkr5UqC2AI4VA3Z45+FmcSMBXpxyqhogko8zjtUkhBbCEFg2FRgCX5p7PfzAcfhGOPhXXW8TvLqqqwWloQkh3kp071A9gvXep7To85JvttS1uOfxbnOmDK42M/kPvt02l5nnbJ1yA20eeykILBsCjAkvzT2W/mWmv5ocbPOcePkPn995nvifL9iJaB5ma48krfLbjZZn71hgzJdatSFBd8u/oGnrmslm6XRYrlrWlXnh/7i0MBpF3yLYhN9rnM12Awm0INsMxsX+AfQDnwL+fclW2eHwiMA9YGFgE/d84tCLNNUgAy+WYuWwZPPAGHHNISoO25Z+eORkV4RFu0CEaMgEce8Rmrm2+G1VfPdavSEH1vXX0Dy5or+MPkGl59rijemg4VwLG/8Cntkrb2Ppf5FgxmW2gXbDazcmAssB+wBXCMmW3RZrKrgYnOua2BPwFjwmqPFJhIBC68MPVv59VX+4L2d97x9595ZtVvfboS7TkK2Ftv+WtZP/mkL2a/444CC65gZfD9zJ6Xs3fZFF5ojhTDW5OS2LG/vDzAY39dnR9Btq4ugJnlp7RWMfbj7vLLSyNqD0Aon8siEWYGawdgnnPufQAzuxs4GHgzbpotgN9G/58KPBRie6QYxaqyzz3X7ww33dQ/HsQv0SL7NbveerDRRnDPPbDDDrluTSdEInS7LMKrz0F5cbw1KQm8y6UIM7RtZbSKpZ52SZO6ApMLM8DaAPg47v4CYMc207wBHIbvRjwU6GVmlc65hfETmdlIYCTAgAEDQmuwFJiHHoIrrvAXyFtrLd8lGBPEt74I9hxLl8Jf/uKTgb17w+TJmc0n30rRiuCtyUigx/4S6HMsgVXMC4pJE8t1kfs5wHVmdiLwLPAJ0NR2IufczcDNANXV1S6bDZQ85FxL1DB0qB9MNJEgvvUFvud44QUfg+6wAxxwQGbzaJsFyNXAoW0V+FuTe0WWoU2kBFZR8liYAdYnQPw1SfpHH1vJOfcpPoOFma0OHO6c+zbENkmhq6+HX/4SbrvND+A0fry/eLO0Mm8ebLwx7L03vP22/z9T8VmA+no480zfM1ukvUqlowTSgCWwipLHwgywXgY2MbPB+MDqaODY+AnMrC+wyDnXDFyIP6NQSkk6fU9ffQWHHurTMn/8ox9nwCwbrQxM2F1tDQ1w3nkwdqxfVnV154IraJ0FMPOBVi4u3iwhKIE0YAmsouSp0AIs51yjmZ0JPIEfpmGcc26Omf0JmOGcmwTUAGPMzOG7CM8Iqz2Sh9KpQJ09Gw46CD7/3FdpH3lkdtsagLBrihcs8Julrg5+8xvYeutg5hufBais9BeDVpeLiEj7Qq3Bcs49Cjza5rFL4v7/D/CfMNsgeSzVCtRHH/VDjq++Ojz7rK+7KkBhFtxOnuzHtVq+PJz4Mz4LUFWlLhcRkY7kushdSlmqFagPP+z7uSZNgv79s9nC1jrZvxdGwW1zM/z5z3DppbDFFvCf/8Dmm3d+vu1Rl0tw8u3sTBEJjjlXWCflVVdXuxkzZuS6GdIZ8UcVSHyEaWiAzz6DgQNhxQp/f7XVst/WmID694I8oC5cCD//OTz+OBx3HNx0U243kaSnBIahKikKlkuTmb3inKtO9JwyWJJdiY4qF1646nQnnQTTpsGcOdCzJ3Ttmv22xguofy+o7E9zM+y1l988N9zgT6wssHr/kqcxmoqHgmVJRAGWZFeqR5Wzz4b99vPBVT7IkwF1YgnnsjK46ipYc82CLUkreXnykZIAKFiWRBRgSXa1d1R56ik/BMNll/nxBaoTZl1zIw8G1GlogJNP9mcHnneez2BJ4cqDj5QERMGyJKIAS7Ir2VFl7Fg/tsAWW/jrCsYXE+VLcUOOq7u7dm0ZgyoI+bJZS5lOGCgOCpYlERW5S241NvqBlcaOhQMPhDvvhF69Wp4PqrihgKOJe++F7baDTTbxXYRB1Frl6+VvREQKiYrcJT99+60fsOmpp+Ccc+DKK6G8vPU0QRQ3FFgFaiwWHDbMD7vwz3/CL34Bt9wSXCG7Ln8jIhIuBVilLleZnXnz/Mjs770Ht97qi4sSCaK4oYAqUGOxYH29z1Y55+v9r7oq2OXo8jciIuFSgFXK2svshBl41dbC4Yf7I/tTT8FPfpJ82iCKGwqoArW21gdXsTqrY46Bv/0t+OXo8jciIuFSgFXKkmV2wuxSa2yEkSNhnXXgf/+DjTbq+DWxSuC6OhgzJv1Aq0AqUJua4J13WoKrbt3grLPCW54ufyMiEh4FWKUsWWYnjC61WB9U167+0jfrrAO9e6f++s4GfXl+utbnn8Oxx8LUqbD//rDDDrD33tlrcp5vHhGRgqMAq5Qly+wE3aXW2AiHHOKvI3jjjbDppunPo4DqqDLxv//B9OkwfjyceGKuWyMiIp2lAKvUJUpdBN2l1qULbLstbLBB5vMokDqqdErXmpth7lzYckt/luDee/tLL4qIpKKAR58pCRoHS8Lzwgu+S3CHHYKZX57vTZL1YiZr9nnn+YTeW2/B+uunt5w83gxpK7b1EcmGAht9pmhpHCzJvokT4dRTYccd4ZlnghnAKc8LhRL1YsKqO8GddvKb46yzYLPNYL31Ul9Gse1Ui219RLKlyKsmikJZrhsgeSR2ll5dXebzaG6GCy+EE06AXXaBhx4KbnTMPBfrxSwvb+nFbDug5x//6MvRmpthww3hlFPS2zzJgrhCVWzrI5ItifY3kl+UwRIviFTC99/D8cf7oGrkSLjuOt9FmE057G9KVrpWUeGDK4AnnoCf/czf79Ej/WUUSClayoptfUSypUBGnylpCrDE62y++eOP4ac/hZkz4R//8P1f2c5cpRgkhhmDte3FjET8df7OPx+WLoVrr4Vf/SrzTVNsO9ViWx+RbMrzqomSpwBLvM6kEl56CQ4+2EcQDz8M++0XVivbl0KQmM1rRzc1+csrXnopDBjgB62vTlgKmZ5i26kW2/qIiIACLInJNJXw6ad++nXXhcmT/ZgDuZJCkJita0d/8onvLZ06FY4+2p8t2N64qjqTTkSkuCjAkhaZpBLWXx9uvhn22QfWXts/lqtoIYUgMRvXjp4zx19ecdkyGDfODxzaXpegzqQTESk+CrAkfT/84IvYf/ELH6H8/Octz+U6WuggSMzGtaM33RQOPRTOOccPw9ARnW4tIlJ8NEyDpG/FCnj9dZg9e9XnCuC8+0jEjySRaRATC9Iuv7wlfnz7bTjgAPj6a3/i5C23pBZcgU63FhEpRspgSepmzYKNN/bFRK+8At26rTpNEZ9337bnMz5A++EHeOMNmDcP+vZNb746k05EpPjoUjmSmgce8F2BI0f6cQfaU4QV24l6PjfZBP7zHzjtND9NfX3imFNERIpTe5fKCbWL0Mz2NbO3zWyemV2Q4PkBZjbVzF4zs5lmtn+Y7ZEMOAejR8Phh8M228AFq7yNq+psH1weatvzedNNUFUFv/kNvP++n0bBlYiIxIQWYJlZOTAW2A/YAjjGzLZoM9kfgHudc9sBRwPXh9WektWZy98sX+7HGvj97+HYY/2YA+uuG3wbC0Cs57Ms+o257TaorPRDgP3oRzltmoiI5KEwM1g7APOcc+875xqAu4GD20zjgDWi//cGPg2xPaUn1q918cX+bzpB1hdfwB57wB13wBVXwO23Q/fu4bU1z0UiMHYs9Onjs1hnnw0zZvikXjJBXNpRREQKU5hF7hsAH8fdXwDs2Gaay4AnzewsYDVgz0QzMrORwEiAAQMGBN7QopXp+f8zZ8JBB8FXX8F998ERR4Td0rwWG5H9sstgnXX8eKrDh7f/mlyPViEiIrmV62EajgEmOOf6A/sD/zazVdrknLvZOVftnKteOzaYpXQsk/P/X3wRhg2DxkZ47rmUg6tCzdZ01O7PPvODhv7hD74MbebMjoMrKIjRKkREJERhZrA+ATaMu98/+li8U4B9AZxzdWbWHegLfBliu0pHJuf/b7WVD6quuAI22MA/1sFZgYWarUml3b16+SEYbr/dl6GlepHmIh6tQkREUhBmgPUysImZDcYHVkcDx7aZ5iNgODDBzIYA3YGvQmxT6Unl8jcNDT6N87vfweqrw/jxLc+lEIUU6kjkydr93nvw5z/7mqvVV/e1VmVp5no1tpWISGkLrYvQOdcInAk8AczFny04x8z+ZGY/jU72O+BUM3sDuAs40RXawFzFYMYMPyz5//636nMp9HUl7YkMsd8wiFkna/f77/thv2bN8vfTDa5iOhqtolC7VUVEpGMaaLSULV7sR2UHPwT5xhuvOk2K/X+r9CKG0G8YW0ZlJYwaFcysY/PceGP47js4+WT/ePymCUOhdquKiEiL9gYa1aVyStXjj/uion//219EL1FwBSn3da3SExlwv2F8QGIGzc3+1tlZ77ijr+s/4QTo2dMXsvfuHW5wBZltniIcIF9EpGgpwCo0nT3KOgfXXedTQFVV/taRVOq42gq4yjs+ICkr8916Zp2b9dy5/so/zz/vY8ybbgo/sIpJd/Mo4yUiUlgUYOWztsFUZ4+yK1bAr38NN94IBx/sT41bffVw2h5wlXfbgOSaa2DhwsxmvWyZv/rPVVf51b/tNj9gfapnCAYh3c1TqCcSiIiUKgVY+SpRMNWZo+w338DPfubnc/75PsLItHo7VZlkvtqZVRDx2uTJcPrpvuTs5z+H//s/6NcvkCamLZ3No2EfREQKiwKsfJUomMr0KPvOO35k9g8+gAkTfMFREOIzbLE2h1gg1Nl47frr4YwzfLnZU0/BngmvG5Bf4jexhn0QESkcCrDyVaJgKpM0ztSpvnK7vByefhp22SWY9sVn2GIFUY2NeVcg1Nzsk3eVlXDoofD113Deee1fVjFfiskTJTEvvDB37RERkdQpwMpXyYKpdNM4XbrAoEFw//0weHDL452NIuIzbM3N/jHn8qpAqK4OTjnFByevvgrrrQeXXNLxa/KlmFx1VyIihUsBVj7LtE+ssdFHBvvsA7vuuupQ5ClEER3GX/EZtrYZrAwLhILKHH3zDcye7Vd/+XIfY06fDjvv3PFr8ymoUd2ViEjhUoBVjK67Ds4+26dttttu1WL2DqKIlLI4bTNssflmGB0FkTlqaoJbb4WLLvLXq25o8Em15mZ45pnUAqy2QU1lpR9tPRfdhbrcjohI4VKAVQhSTe045zNJp58OAwf64CqRDlIjKWdx2mbYOhEBtLfMVFb/hRfgrLPgtddgt9182dlTT6Wf/YkPaoIcMT5TAZ6IKSIiWaQAK2Sd7vZKNbXz3HNwwQX+eoJ9+viK7mQ6SI3komsq2TI7Wv0PPvAZq7vvhv79/d8jj/Rx5iabZLbtY0HNmDH5010oIiKFRQFWiAIpmE4lnTRhgh+SfPBgfxG9Pn06nm87qZFcdE0lW2ay1f/mGz+U17XX+hKwiy/2w3uttlrreXam7aqBEhGRTCnAClEgBdPtHeWbmnz65i9/8YM63XsvrLVWIG3PRddUomUmWv133mkJsk48ES6/HDbYIJz2qAZKREQyoQArRDU1sEt5HcOaa3mhvIaamgyO0MmO8t9/D8cdB5Mmwa9+5a8d07VrcI1PQeDjRSWYYWz1n37aJ+giEV+0/vOfw8knwzbb+JdNnBhOEKQaKBERyYQ553LdhrRUV1e7GTNm5LoZqamro2n34VhDA66igvKpAVVJf/QR/PSnMGsW/OMfcOaZnZ9nmgIfL6qDGf72t/4MwQ8+iPaARoOxWZU17Dgq0ul25MvgoiIiUjjM7BXnXHWi55TBClNtLeWNDeCaoDGgKunp0+GQQ/wAT489BnvvHURL0xb4eFEJZvhMQ4T+/WGjjeAXv4DqalhzTVoFY5uXVbB90xReaI5k3I58GlxURESKQ8hX+y1xsQKi8vLgqqTvuQdWX91HBTkKriCEVYubYVOXCn7zYA01NXD11f7pLbaAY4+NDukVF4x1aWpgj7LaTrUjUbAoIiLSGcpghSmoKunmZvjsM1/J/de/+lPmUjlTMERBF4C7nSK8ctUUXvt7LeM+qOG9+RGuvtqXl60irvLdKir42TU19FiYeTt0tqCIiARNNViF4Kyz4L//hZkzo31kxcM5ePxxuOIKmDbNXy/wvPPg1FNbD7mwioCLplSDJSIi6VINVqE76SRfiNS7d65bkrFEAczrr/tAasYM2HBDGDvWnxnYvXsKMwz49D6dLSgiIkFSgJWvZszwqZ0//AG2397fCkTbYCq+iLxrVz9c10EH+V7OpUvhX/+C44/33XPZapOIiEiYFGAFKLCD+H33wQknQL9+cMYZgQ0emg2JzsirrYXt6+vYtbmW2qYafve7CAcdBAMGwJw5/rI22W6TgiwREQmTAqyABHIQd84XI11yiX/xQw8VVHAFq56Rd//9sMabdTzZPJwKGmigggf3ngL4jRN2cJWoTbqmoIiIhE3DNAQk/iC+fX0d9ZeN8VFXqpYt8yOzX3KJH6b86ad9BisDdXX+QsXpLD4oNTW+G7CszMeLf/sbNDxRS3droAtN9Chr4LgNarPepqBHyxAREWmPMlgBiR3Et6/32ZoekxvguRRTWZ9/7gcPffFFfwXjCy7IOLWTy+6wZcv8dQIHD4a5c6FXL38C5G92rKHs6JZhFVKJcIKsmdI1BUVEJNsUYLUnjaN87CBef1ktPSY3YM0J+qMSze+NN3zF98KFvj/tsMM61eRcdIfNnQs33QS33QbffgubbQbXXw8jRsSGWkgvwgkjSNRZgiIikk2hBlhmti/wD6Ac+Jdz7so2z/8d2D16tyfQzzm3ZphtSlkGR/lIBLisxmeu2o5amWh+O+7oo5DmZnjuubTPFEwUr2Vr0EznWpJsxxwDb74Jhx8Op50Gu+2WIAGXRoSjmikRESl0oQVYZlYOjAX2AhYAL5vZJOfcm7FpnHNnx01/FrBdWO1JVSxoOfajWgZmcpRP1h8VHzXU17cEbPfe6/vS1l8/7XYmiv/C7g6rq4N//hOeeQbeess3ffx4P8h8hiVjq9DI6iIiUujCzGDtAMxzzr0PYGZ3AwcDbyaZ/hjg0hDb06H4oOWJ8hqmdKmgHH+Un1VZw8NjUgxaEmVrYlFDfb1P77z0kk8DbbZZRm1tL8sTdHfY4sU+DuzeHX75S78KAJMnw6GHwnYBh8WqmRIRkUIXZoC1AfBx3P0FwI6JJjSzgcBg4Okkz48ERgIMGDAg2FbGiQ9anifCHadOYcSAWmZV1rDjqEji3sJU67Tio4Z33oGBAxNPl+L8gsryJFtcUxM89ZSvq3roIVi+HHbf3S+vudmfkffWW5ktMxWqmRIRkUKWL0XuRwP/cc41JXrSOXczcDP4axGG1Yi2QcsmI/xR/uExSbJF6dRpzZnjxy648MLkDUhjfhlledpEU4kWt8YaPqi6/XZ/fem11oL994d11oFttoHp09V1JyIi0pEwA6xPgA3j7vePPpbI0cAZIbYlJcmClqTZolSrsR97DI46Cn70I3j1VR9oJZJmdXdaWZ4E0VRtbWTl4pYv90Xqn33ms1P77+8Hk+/bF/bbr+Vl11zjT3jM1647XRJHRETyQZgB1svAJmY2GB9YHQ0c23YiM9scWAvIwbCYq0oUtCTNFnXUT+ccXHst/Pa3Pv0zaVLy4CqV+bWVQjSRrGh/yaRavlgWoWtXP50ZVFbC+ef7swJjBetj2mTvFi5sPwmXS7okjoiI5IvQAiznXKOZnQk8gR+mYZxzbo6Z/QmY4ZybFJ30aOBu51xoXX9BSJgtaq+fbsUKOPNMuPlmP7bVxImxQaHaX0iq/X4pRBOrFO2XV1CGH+zz1TVq+MeVfvyqhQv90ArDhq26mEI6o0/DO4iISL4ItQbLOfco8Gibxy5pc/+yMNsQukSR16JFcMQRMHUqXHQRXH55+5mrjuYXJ51hJGpr/Rl/zc3wTFOEXZjCn/esZY8/1bDTdhHmHQkbbdRxcwrljL5CCgZFRKS45UuRe/F4+20/MvuHH/qs1fHHBzbr9oaRiEUTzc0wYwb8979w553+PvguwK1PjTDwvAhsBN3pOLiKKZQz+gopGBQRkeKmACtIixbBzjv7KvGpU/3/ndC2xCrZMBKxCc4+2wdVX37pm7Dbbn6cqq5d/aUO8yXgCLMQvVCCQRERKW4KsILUpw/89a+wxx4waNAqT6cTWCQqsWrbBfbpwAg/nx3h9mjR+YoV/jX77+/P/KusDHj9AqBCdBERKQUKsDqrsRHOOcd3Cw4fDiefnHCydAOLtlfWufhiHzjtvz9suqlf3GuvwaxZ/gLLa64J110XxgoGS4XoIiJSChRgddayZf6aMWuu6SOoJFINLGJZrj59oEsXX0PV3OwDsilTWi5XE4nATjvBr34V0nqFRIXoIiJSChRgZeqDD/zw5r16+eHNV1+93clTCSyefhr23dcnxRINWhEbCH6vvfx9s06vRdapEF1EREpBimMHSCvPPAPV1TBqlL/fQXAFLYHF5Ze37h587DF/zb/YbFes8MGVmR9Z/aGHoEcPX7TerVtLcFXIIhEfKCq4EhGRYqUMVrpuvRVOOw023hjOOy+tl263nb8kzTvv+Pu1tTB+vL/u8157+ezVVVf5IKtbN/jd75TxERERKUQKsFLV1OQDqr/9DfbeG+65x9ddtaO+3vce1tb6URumT/ePrbaan92KFb7O6uab/fSRiJ+ubTCloQdEREQKiwKsVCxZAsceC4884i9/8/e/+8gogTlz4IEHfKBUV+czVmaw/fb+pbvvDi+9BH/+sw+ywE8Xq8lSMCUiIlL4FGB1ZP58PybC3Lkwduwqp+0tWAC33QannALrrusL1S+91F/b+fTTfUC1666tk119+sAzV9YxrLmWF8prqKnJTkQV5gCfIiIi0kIBVntmz/aDhjY0wGOPsaJmL16Z7rNTw4b5kdK//BL+8AeoqoKfrl3HqV/XcsJjNayxT/IIJkIdU2w4RgPOKihnChBuxKMBPkVERLJHAVY7Ggf8iMXb7M6D2/yR+/+2Oc8fBt9/75+77DIfYG2zDXz1FfR910cw3Rsa6N5RBFNbS3ljA7gmaMzOaJsa4FNERCR7FGC14ZwvsXr6aXjuuZ4sWXIPTIYhQ2DECN+99pOfQL9+fvrycujbF7ilNvUIJgejbWqATxERkexRgNWGma+pqq+HY47xNVQ1NX5M0ZXq6uDW2tbFTOlEMDkYe0HDPYiIiGSPuURDhuex6upqN2PGjFCXsXSpH0ohofaKmfKlijxf2iEiIlLEzOwV51x1oueUwUogaXAF7Rcz5cMYC6pmFxERyTkFWOlq0xU4q7KGh8d0LlkUSMIpNpOPPlI1u4iISI4pwEpXXDHTrMoadhwV6VSyKJCEU/xMystbBkFVNbuIiEhOKMDKQB0Raonw0WudTxYFMnxC/EwATj0VBgxIOyWm0i0REZFgKMBKU9DJokCGT2g7kxEj0o6QVLolIiISHAVYaQooWbRSIMMnBDATDUQqIiISHAVYaQogWbSKQE4+7ORMNBCpiIhIcBRgpalYB+ws1vUSERHJBQ00KiIiIpKB9gYaLQt5wfua2dtmNs/MLkgyzZFm9qaZzTGzO8Nsj4iIiEg2hNZFaGblwFhgL2AB8LKZTXLOvRk3zSbAhcAw59w3ZtYvrPaIiIiIZEuYGawdgHnOufedcw3A3cDBbaY5FRjrnPsGwDn3ZYjtEREREcmKMAOsDYCP4+4viD4Wb1NgUzN7wcymm9m+IbZHREREJCtyfRZhF2AToAboDzxrZlXOuW/jJzKzkcDI6N3vzeztbDYyx/oCX+e6EXlK26Z92j7t0/Zpn7ZPcto27Sul7TMw2RNhBlifABvG3e8ffSzeAuBF59wK4AMzewcfcL0cP5Fz7mbg5hDbmrfMbEayMxRKnbZN+7R92qft0z5tn+S0bdqn7eOF2UX4MrCJmQ02swrgaGBSm2kewmevMLO++C7D90Nsk4iIiEjoQguwnHONwJnAE8Bc4F7n3Bwz+5OZ/TQ62RPAQjN7E5gKnOucWxhWm0RERESyIdQaLOfco8CjbR67JO5/B/w2epPESrJrNEXaNu3T9mmftk/7tH2S07Zpn7YPBTiSu4iIiEi+C3UkdxEREZFSpAArR8xsnJl9aWaz4x7rY2ZPmdm70b9rJXntCdFp3jWzE7LX6uxIsm3+amZvmdlMM3vQzNZM8tr5ZjbLzF43s6K8aGWS7XOZmX0SXe/XzWz/JK/t8PJVhS7J9rknbtvMN7PXk7y2qD8/ZrahmU2NuzzZb6KPa99Du9tH+x/a3T7a/ySgLsIcMbPdgO+Bic65raKP/QVY5Jy7MvrhW8s5d36b1/UBZgDVgANeAX4cGw2/GCTZNnsDTzvnGs3sKoC22yY63Xyg2jlXtGOwJNk+lwHfO+eubud15cA7xF2+Cjgm/vJVxSDR9mnz/P8Bi51zf0rw3HyK+PNjZusB6znnXjWzXvj9xyHAiWjf09726Y/2P+1tnyPR/mcVymDliHPuWWBRm4cPBm6L/n8b/oPb1j7AU865RdEd21NAUY2An2jbOOeejJ6ZCjAdv8MrSUk+O6lI5fJVBa+97WNmhj8Y3JXVRuUJ59xnzrlXo/9/hz/DewO07wGSbx/tf7x2Pj+pKIn9TzwFWPllHefcZ9H/PwfWSTBNKpcgKnYnA48lec4BT5rZK+avAFBKzox2YYxL0sWjzw7sCnzhnHs3yfMl8/kxs0HAdsCLaN+zijbbJ572PyTcPtr/tKEAK09Fh7BQ/20bZvZ7oBG4I8kkuzjntgf2A86IdheVghuAjYBtgc+A/8tpa/LXMbSfvSqJz4+ZrQ7cD4xyzi2Jf077nuTbR/sfL8H20f4nAQVY+eWLaB93rK/7ywTTpHIJoqJkZicCBwLHuSTFg865T6J/vwQexKeli55z7gvnXJNzrhm4hcTrXbKfHQAz6wIcBtyTbJpS+PyYWVf8wfEO59wD0Ye174lKsn20/4lKtH20/0lMAVZ+mQTEzsw5AfhvgmmeAPY2s7Wiadi9o48VNTPbFzgP+Klz7ock06wWLbzEzFbDb5vZiaYtNrGDY9ShJF7vVC5fVcz2BN5yzi1I9GQpfH6iNWi3AnOdc3+Le0r7HpJvH+1/vHa2j/Y/iTjndMvBDd9N8RmwAt8XfQpQCUwB3gUmA32i01YD/4p77cnAvOjtpFyvS5a2zTx8//3r0duN0WnXBx6N/v8j4I3obQ7w+1yvSxa3z7+BWcBM/E5rvbbbJ3p/f/yZPO+V0vaJPj4BOK3NtCX1+QF2wXf/zYz7Lu2vfU+H20f7n/a3j/Y/CW4apkFEREQkYOoiFBEREQmYAiwRERGRgCnAEhEREQmYAiwRERGRgCnAEhEREQmYAiwRERGRgCnAEhEREQmYAiwRKUpm9lD0ortzYhfeNbNTzOwdM3vJzG4xs+uij69tZveb2cvR27Dctl5ECp0GGhWRomRmfZxzi8ysB/4yHfsALwDbA98BTwNvOOfONLM7geudc8+b2QDgCefckJw1XkQKXpdcN0BEJCS/NrNDo/9vCBwPPOOcWwRgZvcBm0af3xPYwl9qDYA1zGx159z32WywiBQPBVgiUnTMrAYfNEWccz+YWS3wFpAsK1UG7OScW56VBopI0VMNlogUo97AN9HganNgJ2A14CdmtpaZdQEOj5v+SeCs2B0z2zabjRWR4qMAS0SK0eNAFzObC1wJTAc+AUYDL+FrseYDi6PT/xqoNrOZZvYmcFrWWywiRUVF7iJSMmJ1VdEM1oPAOOfcg7lul4gUH2WwRKSUXGZmrwOzgQ+Ah3LaGhEpWspgiYiIiARMGSwRERGRgCnAEhEREQmYAiwRERGRgCnAEhEREQmYAiwRERGRgCnAEhEREQnY/wNtvkQBZxEVkQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 708.661x368.504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots(figsize=(25*cm, 13*cm))\n",
    "\n",
    "for (dat,w,label,color) in zip([mal, fem],[w_mal, w_fem],['mal','fem'],['blue','red']):\n",
    "    plt.plot(dat,'.', label='{}'.format(label),color=color)\n",
    "    spl = make_smoothing_spline(dat.index,dat.values, w=w,lam=None)\n",
    "    print(label, spl([[22]]))\n",
    "\n",
    "    plt.plot(dat.index, spl(dat.index), '-.', label=fr'$\\lambda=${label}',color=color)\n",
    "\n",
    "\n",
    "plt.ylabel('spnbmd')\n",
    "plt.xlabel('age')\n",
    "plt.title('Spline fit: age to spnbmd')\n",
    "plt.ylim(0.6,1.4)\n",
    "\n",
    "\n",
    "plt.legend()\n",
    "plt.savefig('figures/spline.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "81bfabe3",
   "metadata": {},
   "source": [
    "## Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0992ebdc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mal [[1.07577629]]\n",
      "fem [[1.10776122]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 708.661x368.504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots(figsize=(25*cm, 13*cm))\n",
    "\n",
    "for (dat,w,label,color) in zip([mal0[['age','spnbmd']], fem0[['age','spnbmd']]],[w_mal, w_fem],\n",
    "                                ['mal','fem'],['blue','red']):\n",
    "    plt.plot(dat.age, dat.spnbmd,'.',color=color)\n",
    "    \n",
    "    clf = LinearRegression().fit((dat.age).values.reshape(-1, 1), (dat.spnbmd.values).reshape(-1, 1))\n",
    "    y_model=clf.predict((dat.age).values.reshape(-1, 1))\n",
    "    print(label, clf.predict([[22]]))\n",
    "    plt.plot((dat.age).values.reshape(-1, 1), y_model, '-.', label=fr'$\\lambda=${label}',color=color)\n",
    "\n",
    "plt.ylabel('spnbmd')\n",
    "plt.xlabel('age')\n",
    "plt.title('Linear Regression: age to spnbmd')\n",
    "plt.ylim(0.6,1.4)\n",
    "\n",
    "\n",
    "plt.legend()\n",
    "plt.savefig('figures/linear.pdf')\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a13e5a77",
   "metadata": {},
   "source": [
    "## k-Nearest Neighbours"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "2a8187ae",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mal [[1.03902]]\n",
      "fem [[1.06728]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 708.661x368.504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots(figsize=(25*cm, 13*cm))\n",
    "\n",
    "for (dat,w,label,color) in zip([mal0[['age','spnbmd']], fem0[['age','spnbmd']]],[w_mal, w_fem],\n",
    "                                ['mal','fem'],['blue','red']):\n",
    "    plt.plot(dat.age, dat.spnbmd,'.',color=color,alpha=0.2)\n",
    "    \n",
    "    clf = KNeighborsRegressor(n_neighbors=50).fit((dat.age).values.reshape(-1, 1), (dat.spnbmd.values).reshape(-1, 1))\n",
    "    y_model=clf.predict((dat.age).values.reshape(-1, 1))\n",
    "    print(label, clf.predict([[22]]))\n",
    "    plt.plot((dat.age).values.reshape(-1, 1), y_model, '-', label=fr'{label}',color=color)\n",
    "\n",
    "\n",
    "plt.ylabel('spnbmd')\n",
    "plt.xlabel('age')\n",
    "plt.title('kNN average: age to spnbmd')\n",
    "plt.ylim(0.6,1.4)\n",
    "\n",
    "\n",
    "plt.legend()\n",
    "plt.savefig('figures/kNN.pdf')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "e23c3811",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 708.661x368.504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The previous model is better. This is just averaging.\n",
    "\n",
    "plt.subplots(figsize=(25*cm, 13*cm))\n",
    "\n",
    "for (dat,w,label,color) in zip([mal0[['age','spnbmd']], fem0[['age','spnbmd']]],[w_mal, w_fem],\n",
    "                                ['mal','fem'],['blue','red']):\n",
    "    plt.plot(dat.age, dat.spnbmd,'.',color=color)\n",
    "    \n",
    "#    plt.fill_between(x=data.groupby('age')['spnbmd'].max().index,\n",
    "#                     y1=data.groupby('age')['spnbmd'].min(), \n",
    "#                     y2=data.groupby('age')['spnbmd'].max(), alpha=0.1, linewidth=2, color='seagreen')\n",
    "\n",
    "    plt.plot(dat.age,dat.spnbmd.rolling(25,center=True,closed='both').mean(),label='25NN {}'.format(label),\n",
    "             linestyle=':',color=color)\n",
    "    plt.plot(dat.age,dat.spnbmd.rolling(40,center=True,closed='both').mean(),label='40NN {}'.format(label),\n",
    "             linestyle='-',color=color)\n",
    "\n",
    "plt.ylabel('spnbmd')\n",
    "plt.xlabel('age')\n",
    "plt.title('kNN average: spnbmd')\n",
    "plt.ylim(0.6,1.4)\n",
    "\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eaa12da6",
   "metadata": {},
   "source": [
    "## Kernal Smoothing RBF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b8316000",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "mal [[1.04512495]]\n",
      "fem [[1.07113923]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 708.661x368.504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots(figsize=(25*cm, 13*cm))\n",
    "\n",
    "for (dat,w,label,color) in zip([mal0[['age','spnbmd']], fem0[['age','spnbmd']]],[w_mal, w_fem],\n",
    "                                ['mal','fem'],['blue','red']):\n",
    "    plt.plot(dat.age, dat.spnbmd,'.',color=color)\n",
    "    \n",
    "    rbf = RBFInterpolator((dat.age).values.reshape(-1, 1), (dat.spnbmd.values).reshape(-1, 1), \n",
    "                          smoothing=30, kernel='linear')#, epsilon=2000)\n",
    "    fi = rbf((dat.age).values.reshape(-1, 1))\n",
    "    print(label, rbf([[22]]))\n",
    "    plt.plot(dat.age,fi,label='RBFInterpolator {}'.format(label),\n",
    "             linestyle='-',color=color)\n",
    "\n",
    "#yi = iu(mal.index)\n",
    "plt.ylabel('spnbmd')\n",
    "plt.xlabel('age')\n",
    "plt.title('RBFInterpolator: spnbmd')\n",
    "plt.ylim(0.6,1.4)\n",
    "\n",
    "\n",
    "plt.legend()\n",
    "plt.savefig('figures/rbf.pdf')\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e5b1146e",
   "metadata": {},
   "source": [
    "## Data Split by Etnicity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "be7d976c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 708.661x368.504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplots(figsize=(25*cm, 13*cm))\n",
    "\n",
    "for who in set(data.ethnic):\n",
    "    dat0=data[data.ethnic==who].sort_values('age')\n",
    "    dat=dat0.groupby('age')['spnbmd'].mean()\n",
    "    w_dat=dat0.groupby('age')['spnbmd'].count()\n",
    "    plt.plot(dat,'.', label='{}'.format(who))\n",
    "    spl = make_smoothing_spline(dat.index,dat.values, w=w_dat,lam=None)\n",
    "    plt.plot(dat.index, spl(dat.index), '-.', label=fr'$\\lambda=${who}')\n",
    "\n",
    "\n",
    "plt.ylabel('spnbmd')\n",
    "plt.title('spnbmd')\n",
    "plt.ylim(0.6,1.4)\n",
    "\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "hide_input": false,
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
