{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Think Bayes\n", "\n", "Copyright 2018 Allen B. Downey\n", "\n", "MIT License: https://opensource.org/licenses/MIT" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Configure Jupyter so figures appear in the notebook\n", "%matplotlib inline\n", "\n", "# Configure Jupyter to display the assigned value after an assignment\n", "%config InteractiveShell.ast_node_interactivity='last_expr_or_assign'\n", "\n", "import numpy as np\n", "\n", "# import classes from thinkbayes2\n", "from thinkbayes2 import Pmf, Cdf, Suite, Joint\n", "\n", "import thinkplot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bayesian regression\n", "\n", "This notebook presents a simple example of Bayesian regression using sythetic data\n", "\n", "### Data\n", "\n", "Suppose there is a linear relationship between `x` and `y` with slope 2 and intercept 1, but the measurements of `y` are noisy; specifically, the noise is Gaussian with mean 0 and `sigma = 0.3`. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.3" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "slope = 2\n", "inter = 1\n", "sigma = 0.3" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0. , 0.2, 0.4, 0.6, 0.8, 1. ])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "xs = np.linspace(0, 1, 6)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.85872942, 1.7858232 , 2.71671663, 2.13273722, 2.28519783,\n", " 2.99567822])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ys = inter + slope * xs + np.random.normal(0, sigma, len(xs))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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4LVKHX0XhnGPsvxYwdV5J4063y8/n3n6dFE4/kgJKKgTnHM+8OdubuyypehV+fXd34uKi51u408XNeXxYX2rWCCxQV1hYxOix6vCrKP75cSYTZ33jja+85DyG3N5Z4XQWouenW6La5Nnfsmj5Bm/8qzuvpm6t6j5WFBqtmgbm8FOHX8XywbSvee+YS8+XX9SUB+/sFlV/QPlBR08i3tqNOYybtMAb9+16EZe0buJjRaGVllyTv4y46bg5/GZ/mcXjz0/hwMHDPlYmpZny2be8OblkFreLL2jM8AE9iI/Xr9ezpSMoEe3Q4SOMen0aRUWBJTSaNU7hrr6X+1xV6FWv+sMOv2VrAnP4qcMvckyfv4LXPiiZB7JNi4b85r5rSUz0Zxb9aKOAkoj20rufe5OqVq6UyAgfl9AIt6MdfndeXxLIW3P2aQ6/CDEncxUv/PMzb9yqaRq/+8V1VEpM8LGq6KKAkog1+8ss5mSu9sa/vO0qGhyzvlIsMDP69byYEYN6khgM5ty8fB55ZqI6/Hw0f8n3PP3GLK+jtFnjFP5w/3VUqRx580BWZAooiUhbduzlpXfneuOul7Wic0ZLHyvyV6eLm/P4r37qdfgVFRUzeux03vkkUx1+YbZo2QZGj51OcfC4N25Ql0eG9KF61Yr3ZvFIp4CSiFNQUMSoMdPJP1IAQMOUWvzi5it9rsp/LdNT+Z8RN9EotY637e2PM3n6zVnq8AuTb1dt4W+vferdE22YUouRQ6/3Jv+V8qWAkogzbtICb92c+Pg4RgzqqUsnQan1avLn4Tfyk5Yli1N/9tUqHntusjr8Qmzl99v4y8ufeH8M1K+bxKND+1I7qZrPlUUvBZRElK++W8+Uz771xgNv6EjTRloi7FjVq1bmP+/vfVyH3/K12erwC6E1G3bw3y9+5J3V161VnZHD+pJcp4bPlUU3BZREjJ17cnnmzVne+NI26fTu3MbHiiLXqTr8Vhyz9pCcvQ1bd/HHF6Zw6PARAGrWqMrIYX1JrVfT58qin/ohJSIUFxfz5LgZ5OblA1CvdnWG3tFV08ScwtEOv7SUmjw1biYFhUXk5uXz6LOT+NUdV3NVRgu/S6yQCgqKWLdlJ1nrtpO1fjvfrNxEXjCcalSrzMih1x8304eEjgJKIsJ7ny72Vh014Nd3d9eN5zK6ol1zkmvX4C8vf8L+3EMUFRXz93EzyN65j1uuvUQhfxq79x0ka912Vq0PBNLaTTmlNp1UrVKJR4ZcH/GrNkcTBZT4btmarbzzcckilLf0yqD1eQ1P8Qo50dEOvz+/+DGbt+8BAh1+2Tn7eOD2rprZIKiwsIj1W3aRFQyjVeu2k7PnwGlfV692dUYM7Enzc1PCUKUcpYASXx04ePi4JTQubN6AW65t72tNFdXRDr//fe1Tvl21BYA5mavZuSeX39x3bUyeke49kFdydrRuO2s27qCgDC35ack1aZmeSqv0NFo1TeXcBnU1t54PtOS7+MY5x19fmcpX360HAtf3n/jNLeqMOkuFhUW89O7nzFiw0tvWIKUWf7i/d1TPxFFUVMzG7N2sXLfNC6Xtu/af9nWJCfG0aFKfVumptGyaRqv0VGolVQ1DxbGrrEu+6wxKfPPx59954QQw7M6rFU7lICEhniG3d6FBSi3emBSYZTs72OH325/34oLmDXyusHzszz3Eqg07yPp+G1nrt7NmY47XBn4qKXWSaNk0lVbpqZzfNI0mDevGzPyOFY0CSnyxbvNOxnw43xv37tyGS9uk+1dQlDEzbupxMWnJtXhy3IzjOvyG3dG1wk0bVVxczKZte8hat52V67axav32Mr3nKyEhnuaNUwJnR+mptGqaGpXriEUrBZSE3eH8AkaNKVlCI/2cZAb8tKPPVUWnju2aUa929eM6/J4cN5PsnP3c2ityO/xy8/K9rrqsddtYvWEHh/NPf3ZUr3Z1WqYHLtO1appKs0bJOjuqwBRQEnavvD+XrcG/fitXSmTEoB7qMguhlump/PXhfvzphY+8Dr93Pslk287I6PBzzrFp2x6vkSFr3Ta27Nh72tfFx8fRrFEyrdLTvEt2ukQcXRRQElafZ65m1sIsbzz4liv1pscwqF83iT8Pv5H/e20aS1dtBgIdfjm7c/mPn4e3w+/goXxWb9jhNTKsWr/deyPsqdSpWe24RoZmjZO19lKUUxefhE12zj7+7X/f8y7VdM5owa/v7u5zVbGlsLCIl9+by/T5K7xtDVJq8fvB19EwBH8oOOfYsmMvq4KzMmSt387m7N2c7rdOXFwcTc+pR6umqd4ZUkqdGhF7SVLOjLr4JKIUFhYx+vXpXjilJddk8C1X+VxV7ElIiOeXt3WmQUotxk1cAAT+cPjd6An8x897ceFZdvgdOnwkcHa0vuTs6Oj0VadSs0ZVr5Hh/GZpNG+cTOVKmsE+1imgJCzenPwlazflAMElNAb2pGqVSj5XFZvMjBu7tyO1Xs3jOvxGPjuJof270uXSsnX4OefYtnM/Weu2BZsZtrNx667Tnx2ZcW7Del4jQ6umaaTWS9LZkfyAAkpCbvHyjUyc9Y03vrtvB00ZEwE6tmtGcp1Ah9++A4EOv6femEn2zn3c1ivjB4FxOL+AtZtyAm3ewUt2ZVmDqka1ysc1MrRoUl/re0mZKKAkpHbvO8hTb8z0xpdc2ITru/7Ex4rkWC2apPI/I/rx5xc/YtO2QIffu58sYluwDX3txkAgZa3fzoYtu7xlzk/GCCyBfuy9o4YptXR2JD+KmiQkZIqLi3nsucl8t3orEOjCeuI3t2gamQh08FD+cR1+ZVWtSiVaNT36Jtg0Wpxbn2pVdelWTk1NEuK7D6Yv8cLp6BIaCqfIVL1qZf5w/3W88v5cpn2x4qT7NUqtE2xkSKVlehqNUmvr7EhCRgElIbHy+228/dFX3vhn17TnJy3P8bEiOZ2EhHjuv7UzDVJq89aULwOTqJ5bn5ZNA3PWtUyvT/Wqlf0uU2KIAkrKXW5ePqPHTvfuV7RqmsatvU57Ni8RwMy4oVtb+nRuQ3x8nM6OxFcKKClXzjmeHz+bnXtygcClo+EDumstnQpG89dJJNBvDSlXn85bzoKl67zxA/27kFI3yceKRKSiUkBJudmwdRevTfjCG1/bqTUd2jbzsSIRqcgUUFIuAktoTKcwuJz2uQ3qMugmLaEhIj+eAkrKxWsfzPOWcqiUmMCIQT0107SInBUFlJy1uYvXMGPBSm/885s70Titjo8ViUg0UEDJWdm+az8vvD3HG3dqfx7dLj/fx4pEJFqELKDMrLGZzTKzFWa2zMx+Xco+ZmZPmdkaM1tqZu1DVY+Uv6NLaBwKLjaXWq8m9996ld47IyLlIpQ3CQqBh51zi80sCVhkZtOcc8uP2ec6oEXw43Lg+eB/pQL450dfsXrDDiCwwNzwgd0104CIlJuQnUE557Kdc4uDjw8AK4AT57q5ARjrAhYAtc3s7FZMk7BYsnITE2Ys8cZ39b2cFk1SfaxIRKJNWO5BmVk6cDGw8ISnzgE2HTPezA9DTCLMnv15PDmuZAmNduc35qdXX+RjRSISjUIeUGZWA3gfeMg5t//Ep0t5yQ/W/zCzwWaWaWaZOTk5oShTysg5x1PjZrI/9xAAtZOq8eBd3XTfSUTKXUgDyswSCYTTm865D0rZZTPQ+JhxI2DriTs5515yzmU45zJSUrQSq58+nLHEWzPIgAfv7qYlNEQkJELZxWfAq8AK59yok+w2ERgQ7ObrAOxzzmWHqiY5O6vWb+etKSVLaNzU42LatmrkY0UiEs1C2cXXCbgb+NbMjt5N/z1wLoBz7gXgI6A3sAbIA+4JYT1yFg4eymfUmOkUFxcD0KJJfW67TktoiEjohCygnHNzKf0e07H7OGBoqGqQ8uGc4/l/ziFnzwEgsMz3iEE9tSSDiISUZpKQ05qxYCXzl6z1xkP6d6G+ltAQkRA7bUCZ2TAz08RqMWrTtj288t5cb9zzigu4ol1zHysSkVhRljOoNOArM3vHzHqZ+oljxpGCQp4YM42C4BIajdPqcG+/Tj5XJSKx4rQB5Zz7TwJTEb0KDAJWm9mfzUx/Rke5f0z4gk3ZuwFITIjXEhoiElZlugcVbGbYFvwoBOoA75nZ30JYm/ho/pLv+XReybSJ9/brxLkN6vpYkYjEmtP+OWxmDwIDgZ3AK8C/O+cKzCwOWA38JrQlSrjt2H2A58bP9sYd2zWn5xUX+FeQiMSkslyvSQb6Oec2HLvROVdsZteHpizxy9ElNPKCS2ik1EliyO2dNZWRiITdaQPKOffIKZ5bUb7liN/e+WQRq9ZvByDOTEtoiIhv9D4o8Xy7agsfTFvsjfv3uYxWTdN8rEhEYpkCSgDYd+AQfx87w5tK/qKWjbipRztfaxKR2KaAEpxzPP3mTPYeyAOgZo2qPHi3ltAQEX8poIRJs5fy9YqSdSMfvKsbdWpW87EiEREFVMxbs2EHb0wqWej4hm5tufiCxqd4hYhIeCigYljeoSOMHjudoqLAEhrNG6dwR5/LfK5KRCRAARWjnHO8+O4ctu3cD0BVLaEhIhFGARWjZi3MYu6iNd74l7d2Ji25po8ViYgcTwEVgzZt28PLxyyh0e3y87nykvN8rEhE5IcUUDHmSEEho8ZM40hBIQCNUutw38+0hIaIRB4FVIwZM2E+G49bQqMHVSon+lyViMgPKaBiyPwl3zN13jJvfG+/TjRpWM/HikRETk4BFSNOXEKjQ9tmWkJDRCKaAioGlLaExgP9u2gqIxGJaAqoGPD2x5klS2jExTFiUA8toSEiEU8BFeW+ydrMhOlfe+M7+lxKy/RUHysSESkbBVQU27M/77glNNq2asSN3bWEhohUDAqoKOWc46lxM9mfewiAWklaQkNEKhYFVJSaMH0JS1dtBsCAX9/dndpJWkJDRCoOBVQUylq3jfFTvvTG/Xq2p22rRj5WJCJy5hRQUSY3L5/Rr8+g2AXuPLVqmsatvS7xuSoRkTOngIoizjmeHz+bnD0HAKhWpRIPDeiuJTREpEJSQEWRT+ctZ8HSdd74gf5dqV83yceKRER+PAVUlNiwdRevTfjCG1/bqTUd2zXzsSIRkbOjgIoCh/MLeOIf0ygsLALg3AZ1GXRTR5+rEhE5OwqoKPDq+/PYsmMvAJUSE3j4np5USkzwuSoRkbOjgKrgPs9czcyFK73x4FuuolFqHR8rEhEpHwqoCiw7Zx8vvDPHG191SQu6XtbSx4pERMqPAqqCKigoYtTr0zmcXwBAWnJN7r/1Kk1lJCJRQwFVQb0xaSHfb8oBID4+jocH9aRqlUo+VyUiUn4UUBVQ5rINTP5sqTce8NMONGuc4mNFIiLlTwFVwezam8vTb8z0xhmtm9Cny098rEhEJDQUUBVIcXExfx87g9y8fADq1qrOsDuv1n0nEYlKIQsoM3vNzHaY2Xcneb6rme0zsyXBj0dCVUu0eHfqYpavzQYCS2g8NKA7SdWr+FuUiEiIhPLdnGOAZ4Cxp9jnc+fc9SGsIWosW7OVdz/J9Ma3XpdB6/Ma+liRiEhohewMyjk3B9gdqs8fS/bnHjpu6fbW5zXk5mva+1qTiEio+X0PqqOZfWNmH5tZ65PtZGaDzSzTzDJzcnLCWZ/vnHM88+Zsdu87CEBS9So8NKA7cXF+/68TEQktP3/LLQaaOOfaAk8DH55sR+fcS865DOdcRkpKbLVTT579LYuWb/DGw+68mrq1qvtYkYhIePgWUM65/c653ODjj4BEM0v2q55ItHZjDuMmLfDGfbteREbrJj5WJCISPr4FlJmlWbA/2swuC9ayy696Ik3eoSOMen0aRUXFADRvnMJdfS/3uSoRkfAJWRefmY0HugLJZrYZeBRIBHDOvQDcDAwxs0LgEHC7c86d5NPFFOccL747h2079wNQpXIiwwf20NLtIhJTQhZQzrn+p3n+GQJt6HKCWQuzmLtojTceclsXGqTU8rEiEZHwUytYhNm0bQ8vvzfXG3e7/HyuvOQ8HysSEfGHAiqCHCkoZNSYaRwpKASgUWod7vtZJ5+rEhHxhwIqgoyZMJ+N2YH3NicmxDNiUA+qVE70uSoREX8ooCLE/CXfM3XeMm98b7+274gcAAALpElEQVRONGlYz8eKRET8pYCKADt2H+C58bO9cYe2zeh5xQX+FSQiEgEUUD4rLCxi9OvTyTt8BICUOkk80L+LltAQkZingPLZPz/6ilXrtwMQFxfHiEE9qF61ss9ViYj4TwHloyUrNzFhxhJvfEefS2mZnupjRSIikUMB5ZM9+/N4clzJ0u1tWzXixu7tfKxIRCSyKKB84JzjqXEz2Z97CIDaSdV48O5uuu8kInIMBZQPJkxfwtJVm4HA0u0P3t2N2knV/C1KRCTCKKDCLGvdNsZP+dIb9+vZnratGvlYkYhIZFJAhVFuXj6jX59BcXDS9lZN07i11yU+VyUiEpkUUGHinOP58bPJ2XMAgGpVKvHQgO5aQkNE5CQUUGEyde5yFixd542H3tGV+nWTfKxIRCSyKaDCYMPWXfzjwy+8ca8rW9OhbTMfKxIRiXwKqBA7nF/AE/+YRmFhEQDnNqjLwBs7+lyViEjkU0CF2Kvvz2PLjr0AVEpM4OF7elIpMWQLGYuIRA0FVAh9nrmamQtXeuPBt1xFo9Q6PlYkIlJxKKBCJDtnH8+/Pccbd85oQdfLWvpYkYhIxaKACoGCgiKeGDON/CMFAKQl12TwLVdpKiMRkTOggAqBNyYtZN3mnQDEx8fx8KCeVK1SyeeqREQqFgVUOctctoHJny31xgNv6Eizxik+ViQiUjEpoMrRzj25PP1GyRIaGa2b0LtzGx8rEhGpuBRQ5aS4uJgnx80gNy8fgLq1qjPszqt130lE5EdSQJWTd6cuZvnabCCwhMbwgT1Iql7F36JERCowBVQ5WLZmK+9+kumNb70ugwubN/CxIhGRik8BdZb25x5i9OvTccFx6/MacvM17X2tSUQkGiigzoJzjmfenM2e/XkAJFWvwkMDuhMXp8MqInK29Jv0LEye/S2Llm/wxsPuvJq6tar7WJGISPRQQP1IazfmMG7SAm/ct+tFZLRu4mNFIiLRRQH1I+QdOsKo16dRVFQMQPPGKdzV93KfqxIRiS4KqDPknOOFd+awbed+AKpUTmT4wB5aul1EpJwpoM7QrIVZzFu8xhsPua0LDVJq+ViRiEh0UkCdgU3b9vDye3O9cbfLz+fKS87zsSIRkeilgCqjIwWFjBozjSMFhQA0Sq3Dz2/u5HNVIiLRSwFVRmMmzGdj9m4AEhPiGTGoB5UrJfpclYhI9FJAlcH8Jd8zdd4yb3xvv040aVjPx4pERKKfAuo0duw+wHPjZ3vjDm2b0fOKC/wrSEQkRiigTqGwsIhRY6aRd/gIACl1knigfxctoSEiEgYhCygze83MdpjZdyd53szsKTNbY2ZLzSziZlj950dfsXrDDgDi4uIYMagH1atW9rkqEZHYEMozqDFAr1M8fx3QIvgxGHg+hLWcsSUrNzFhxhJvfEefS2mZnupjRSIisSVkAeWcmwPsPsUuNwBjXcACoLaZRcQiSnv25/HkuJKl29ud35gbu7fzsSIRkdjj5z2oc4BNx4w3B7f9gJkNNrNMM8vMyckJaVHOOZ4aN5P9uYcAqJ1UjQfv6qb7TiIiYeZnQJX2G9+Vsg3n3EvOuQznXEZKSkpIi5owfQlLV20GAgU+eHc3aiVVDenXFBGRH/IzoDYDjY8ZNwK2+lQLAFnrtjF+ypfeuF/P9rRt1cjHikREYpefATURGBDs5usA7HPOZftVTG5ePqNfn0GxC5zEtWqaxm3XZfhVjohIzEsI1Sc2s/FAVyDZzDYDjwKJAM65F4CPgN7AGiAPuCdUtZyOc47nx88mZ88BAKpVqcTwAd2Jj9fbxERE/BKygHLO9T/N8w4YGqqvfyamzl3OgqXrvPHQO7qSUjfJx4pERCTmTxE2bN3FPz78whv3urI1Hdo287EiERGBGA+ow/kFPPGPaRQWFgHQpGE9Bt7Y0eeqREQEYjygXn1/Hlt27AWgcqVEHr6nJ5USQ3bVU0REzkDMBtTnmauZuXClN/7FzVdyTv3aPlYkIiLHismAys7Zx/Nvz/HGnTNa0PWylj5WJCIiJ4q5gCooKOKJMdPIP1IAQIOUWgy+5SpNZSQiEmFiLqDemLSQdZt3AhAfH8eIgT2oWqWSz1WJiMiJYiqgMpdtYPJnS73xwBs60qxxaOf2ExGRHydmAso5x7h/LfDGGa2b0LtzGx8rEhGRU4mZgDIzHh16PW1aNKRe7eoMu/Nq3XcSEYlgMfWmn7q1qvPoA9ezc+9BkqpX8bscERE5hZg5gzoqLi6O+ppnT0Qk4sVcQImISMWggBIRkYikgBIRkYikgBIRkYikgBIRkYikgBIRkYikgBIRkYhkzjm/azgjZpYDbDjLT5MM7CyHcqKBjsXxdDxK6FiU0LEoUR7Hoolz7rQToVa4gCoPZpbpnMvwu45IoGNxPB2PEjoWJXQsSoTzWOgSn4iIRCQFlIiIRKRYDaiX/C4gguhYHE/Ho4SORQkdixJhOxYxeQ9KREQiX6yeQYmISIRTQImISESK6oAys15mlmVma8zst6U8X9nM3g4+v9DM0sNfZXiU4ViMMLPlZrbUzGaYWRM/6gyH0x2LY/a72cycmUVte3FZjoWZ3Rr83lhmZm+Fu8ZwKsPPyblmNsvMvg7+rPT2o85QM7PXzGyHmX13kufNzJ4KHqelZtY+JIU456LyA4gH1gLNgErAN8CFJ+zzAPBC8PHtwNt+1+3jsbgaqBZ8PCSWj0VwvyRgDrAAyPC7bh+/L1oAXwN1guP6ftft8/F4CRgSfHwhsN7vukN0LDoD7YHvTvJ8b+BjwIAOwMJQ1BHNZ1CXAWucc987544A/wRuOGGfG4DXg4/fA7qbmYWxxnA57bFwzs1yzuUFhwuARmGuMVzK8n0B8Efgb8DhcBYXZmU5Fr8AnnXO7QFwzu0Ic43hVJbj4YCawce1gK1hrC9snHNzgN2n2OUGYKwLWADUNrMG5V1HNAfUOcCmY8abg9tK3cc5VwjsA+qFpbrwKsuxONZ9BP46ikanPRZmdjHQ2Dk3OZyF+aAs3xctgZZmNs/MFphZr7BVF35lOR4jgbvMbDPwEfCr8JQWcc70d8qPklDenzCClHYmdGJPfVn2iQZl/nea2V1ABtAlpBX555THwszigNHAoHAV5KOyfF8kELjM15XAWfXnZtbGObc3xLX5oSzHoz8wxjn3hJl1BMYFj0dx6MuLKGH53RnNZ1CbgcbHjBvxw9Nxbx8zSyBwyn6q09qKqizHAjPrAfwB+KlzLj9MtYXb6Y5FEtAGmG1m6wlcX58YpY0SZf0Z+ZdzrsA5tw7IIhBY0agsx+M+4B0A59x8oAqByVNjTZl+p5ytaA6or4AWZtbUzCoRaIKYeMI+E4GBwcc3AzNd8A5glDntsQhe1nqRQDhF832GUx4L59w+51yycy7dOZdO4H7cT51zmf6UG1Jl+Rn5kEADDWaWTOCS3/dhrTJ8ynI8NgLdAczsAgIBlRPWKiPDRGBAsJuvA7DPOZdd3l8kai/xOecKzWwYMJVAd85rzrllZvY4kOmcmwi8SuAUfQ2BM6fb/as4dMp4LP4XqAG8G+wT2eic+6lvRYdIGY9FTCjjsZgKXGNmy4Ei4N+dc7v8qzp0yng8HgZeNrPhBC5pDYrGP2rNbDyBy7rJwfttjwKJAM65Fwjcf+sNrAHygHtCUkcUHlsREYkC0XyJT0REKjAFlIiIRCQFlIiIRCQFlIiIRCQFlIiIRCQFlIiIRCQFlIiIRCQFlEiEMLNLg2vrVDGz6sH1l9r4XZeIX/RGXZEIYmb/TWD6nKrAZufcX3wuScQ3CiiRCBKcA+4rAutQXeGcK/K5JBHf6BKfSGSpS2BOxCQCZ1IiMUtnUCIRxMwmEljJtSnQwDk3zOeSRHwTtbOZi1Q0ZjYAKHTOvWVm8cAXZtbNOTfT79pE/KAzKBERiUi6ByUiIhFJASUiIhFJASUiIhFJASUiIhFJASUiIhFJASUiIhFJASUiIhHp/wELuPzTSAmeUQAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "thinkplot.plot(xs, ys)\n", "thinkplot.decorate(xlabel='x',\n", " ylabel='y')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Grid algorithm\n", "\n", "We can solve the problem first using a grid algorithm, with uniform priors for slope, intercept, and sigma.\n", "\n", "As an exercise, fill in this likelihood function, then test it using the code below.\n", "\n", "Your results will depend on the random data you generated, but in general you should find that the posterior marginal distributions peak near the actual parameters." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from scipy.stats import norm\n", "\n", "class Regress(Suite, Joint):\n", " \n", " def Likelihood(self, data, hypo):\n", " \"\"\"\n", " \n", " data: x, y\n", " hypo: slope, inter, sigma\n", " \"\"\"\n", " return 1" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Solution\n", "\n", "from scipy.stats import norm\n", "\n", "class Regress(Suite, Joint):\n", " \n", " def Likelihood(self, data, hypo):\n", " \"\"\"\n", " \n", " data: x, y\n", " hypo: slope, inter, sigma\n", " \"\"\"\n", " x, y = data\n", " slope, inter, sigma = hypo\n", " \n", " yfit = inter + slope * x\n", " error = yfit - y\n", " like = norm(0, sigma).pdf(error)\n", " return like" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([-4. , -3.6, -3.2, -2.8, -2.4, -2. , -1.6, -1.2, -0.8, -0.4, 0. ,\n", " 0.4, 0.8, 1.2, 1.6, 2. , 2.4, 2.8, 3.2, 3.6, 4. ])" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "params = np.linspace(-4, 4, 21)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. , 1.1, 1.2, 1.3,\n", " 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2. ])" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sigmas = np.linspace(0.1, 2, 20)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from itertools import product\n", "hypos = product(params, params, sigmas)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "suite = Regress(hypos);" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "for data in zip(xs, ys):\n", " suite.Update(data)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "thinkplot.Pdf(suite.Marginal(0))\n", "thinkplot.decorate(xlabel='Slope',\n", " ylabel='PMF',\n", " title='Posterior marginal distribution')" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "thinkplot.Pdf(suite.Marginal(1))\n", "thinkplot.decorate(xlabel='Intercept',\n", " ylabel='PMF',\n", " title='Posterior marginal distribution')" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "thinkplot.Pdf(suite.Marginal(2))\n", "thinkplot.decorate(xlabel='Sigma',\n", " ylabel='PMF',\n", " title='Posterior marginal distribution')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### MCMC\n", "\n", "Implement this model using MCMC. As a starting place, you can use this example from [Computational Statistics in Python](http://people.duke.edu/~ccc14/sta-663-2016/16C_PyMC3.html#Linear-regression).\n", "\n", "You also have the option of using the GLM module, [described here](https://docs.pymc.io/notebooks/GLM-linear.html)." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/downey/anaconda3/lib/python3.6/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n", " from ._conv import register_converters as _register_converters\n" ] }, { "data": { "text/plain": [ "pymc3.glm.linear.GLM" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pymc3 as pm\n", "pm.GLM" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "thinkplot.plot(xs, ys)\n", "thinkplot.decorate(xlabel='x',\n", " ylabel='y')" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "import pymc3 as pm\n", "\n", "with pm.Model() as model:\n", " \"\"\"Fill this in\"\"\"" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "# Solution\n", "\n", "\n", "with pm.Model() as model:\n", " slope = pm.Uniform('slope', -4, 4)\n", " inter = pm.Uniform('inter', -4, 4)\n", " sigma = pm.Uniform('sigma', 0, 2)\n", "\n", " y_est = slope*xs + inter\n", " y = pm.Normal('y', mu=y_est, sd=sigma, observed=ys)\n", " trace = pm.sample_prior_predictive(100)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Solution\n", "\n", "for y_prior in trace['y']:\n", " thinkplot.plot(xs, y_prior, color='gray', linewidth=0.5)\n", " \n", "thinkplot.decorate(xlabel='x',\n", " ylabel='y')" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n", "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [sigma, inter, slope]\n", "Sampling 4 chains: 100%|██████████| 12000/12000 [00:05<00:00, 2210.20draws/s]\n", "The acceptance probability does not match the target. It is 0.8882283946866933, but should be close to 0.8. Try to increase the number of tuning steps.\n", "The number of effective samples is smaller than 25% for some parameters.\n" ] } ], "source": [ "# Solution\n", "\n", "with pm.Model() as model:\n", " slope = pm.Uniform('slope', -4, 4)\n", " inter = pm.Uniform('inter', -4, 4)\n", " sigma = pm.Uniform('sigma', 0, 2)\n", "\n", " y_est = slope*xs + inter\n", " y = pm.Normal('y', mu=y_est, sd=sigma, observed=ys)\n", " trace = pm.sample(1000, tune=2000)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Solution\n", "\n", "pm.traceplot(trace);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The posterior distributions for these parameters should be similar to what we got with the grid algorithm." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 1 }