keynote-mharrison-clean.ipynb

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    "# Stirring the Pot\n",
    "\n",
    "## Machine Learning\n",
    "\n",
    "### `@__mharrison__`  PyWebConf 2022\n",
    "\n",
    "<img align='right' width='25%' src='img/ms-logo-water.png'/>"
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    "## About Me\n",
    "\n",
    "* Python/Data since 2000\n",
    "* Web since CherryPy, TurboGears, Pylons\n",
    "* Author of Effective Pandas, Machine Learning Pocket Reference, Illustrated Guide to Python 3, and others (including pirated books)\n",
    "* Corporated trainer and consultant"
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    "## Outline\n",
    "\n",
    "* Purpose of ML\n",
    "* Black Magic\n",
    "* Prediction\n",
    "* Example\n",
    "* Take-aways"
   ]
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    "## Secret\n",
    "\n",
    "Python is the language of Data Science. Python is SLOW but thanks to NumPy it is fast."
   ]
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    "## Purpose of ML\n",
    "\n",
    "Data runs our world\n",
    "\n",
    "* Actions:\n",
    "  * Predict\n",
    "  \n",
    "  * Automate\n",
    "  \n",
    "* Why?\n",
    "\n",
    "  * Save $\n",
    "  \n",
    "  * Make $"
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    "## Types of ML\n",
    "\n",
    "* \"Supervised\"\n",
    "\n",
    "  * Classification - predict label\n",
    "  * Regression - predict value\n",
    "  \n",
    "* \"Unsupervised\"\n",
    "\n",
    "  * Clustering - group data\n",
    "  * Dimension reduction - simplify data (while retaining information)"
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    "## Deep Learning?\n",
    "\n",
    "* \"Structured\" (Tabular)\n",
    "\n",
    "  * Pandas, Sklearn, XGBoost\n",
    "  \n",
    "* \"Unstructured\" (Audio, video, images, text)\n",
    "\n",
    "  * NumPy, Deep Learning (TensorFlow, PyTorch)"
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    "## How?\n",
    "\n",
    "<img src='https://imgs.xkcd.com/comics/machine_learning.png'>\n",
    "https://xkcd.com/1838"
   ]
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    "## Regression Example\n",
    "\n",
    "<img src='https://imgs.xkcd.com/comics/curve_fitting.png'>\n",
    "https://xkcd.com/2048"
   ]
  },
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    "## Regression Example"
   ]
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   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "xkcd = (pd.read_csv('https://raw.githubusercontent.com/mattharrison/datasets/master/data/xkcd-2048.csv')\n",
    "        .sort_values('x'))"
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       "      x    y\n",
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       "13  106   52\n",
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"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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "(xkcd\n",
    " .plot.scatter(x='x', y='y', c='k', figsize=(5,5))\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.42507273] 30.657256479384415\n",
      "0.3153153646426776\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# linear regression\n",
    "# y = mx + b\n",
    "from sklearn import linear_model\n",
    "lr = linear_model.LinearRegression()\n",
    "lr.fit(xkcd[['x']], xkcd.y)  # Look mom! A model\n",
    "df_ = (xkcd\n",
    " .assign(yhat=lr.predict(xkcd[['x']]))\n",
    ")\n",
    "ax = df_.plot.scatter(x='x', y='y', c='k', figsize=(5,5))\n",
    "df_.plot(x='x', y='yhat', c='r', ax=ax) \n",
    "print(lr.coef_, lr.intercept_)\n",
    "print(lr.score(xkcd[['x']], xkcd.y))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.00452422] 62.85765403510756\n",
      "-0.38150134906903266\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# linear regression - quadratic!?!\n",
    "# by adding features we change behavior\n",
    "from sklearn import linear_model\n",
    "lr = linear_model.LinearRegression()\n",
    "X = (xkcd\n",
    "     [['x']]\n",
    "     .assign(x=(xkcd.x-70)**2)\n",
    "    )\n",
    "lr.fit(X, xkcd.y)\n",
    "df_ = (xkcd\n",
    " .assign(yhat=lr.predict(X))\n",
    ")\n",
    "ax = df_.plot.scatter(x='x', y='y', c='k', figsize=(5,5))\n",
    "df_.plot(x='x', y='yhat', c='r', ax=ax) \n",
    "print(lr.coef_, lr.intercept_)\n",
    "print(lr.score(xkcd[['x']], xkcd.y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.7404331] -11.357184069128209\n",
      "0.1284332753038374\n"
     ]
    },
    {
     "data": {
      "image/png": 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YfPN+fYxGQUS3KWfVtwa+6u5tuRvdfZ2ZHVuYskQqUGdnmHXTFZKPPw5vvx2e2357+Pzn4cILw8+xY/O2CpBGQUTXZ3C6++W9PPdCfssRqSCdnWG85KxZ8Oij8MQT3We7d9kFTjghhOTnPx+GCBVoiqJGQUSnmUMixbJ2bWhRzpoVbrNnw6pV4bm99goDzLuCcrvtil6ezqp308whkbi4h8V3H3ooBOVjj8HKleG53XcPi14cdliY252AoCr4ikllRMEpkk/vvQePPAJ/+xvMnNk9t3vXXeEb3whBeeihsbQoJX8UnCIDsW5dWJR35swQlnPmhEPy4cNh8mQ4+mg48si8X/NG4qXgFInqrbfC4ffMmfD3v3cvqzZ+PFx0UQjLiRPD2EopS/qTFenL2rVhRs7MmeE2d27ovxw5MrQmjzkm/Nx227grlSJRcIpszPLloTU5cyY8+CC8804YDnTAAXD55SEsJ0woyhUVJXkUnCIQxlTOmdPdqpw/P2zfdls47rhw+D15slYOEkDBKZWsvb377PfDD4fFfAcNgoMOgp/+NITlPvuES0KI5FBwSmVZsgRmzIA//CH0VQKMHg1f/3o4/D7iCC3aK31ScEr5+9//DWE5Y0b3IfiECaFVedxxsOeeJX3FRSk+BaeUp+ef7w7LZ58N2yZOhGuuga99DcaMibc+KWkKTikP7rBoUQjKe+8Ny7GZhSXXpk2Dr35Vg9A3kPS56UmuT73eUrrcw6H3pZfC5z4XLk975ZXhTPj114eTP7NnwznnKDQ30NTURG1tLZMnT6a2tpampqa4S/qYpNen1ZGktLiHpdi6DsOXLAlnwg87DKZMgRNP1ED0PiR9xfck1KfVkaQ8LFwIv/sd3HMPvPZamM44aRJccklYt3LUqLgrLBlJX/E96fVBTMFpZucBpwMOPEu4ltH2wF3ASGAe8H/dfXWPbyLl7/XXYfp0uOOOcIJn8GA46ij4yU/g+ONhq63irrAkJX3F96TXBzH0cZrZDsD3gTp3HwsMIlx++OfAte6+C/Au0FDs2vIhk8nQ3NxMJpOJu5TStGoV3Hln94pCF1wQrqVz/fXwxhvwwAPhOjsKzX7rWvE9lUoxbNgwUqlUolZ8T3p9ALh7UW/ADsBSwrWMBgMPAEcRLgY3OPuaAwnXb+/1vSZMmOBJMn36dE+lUj58+HBPpVI+ffr0uEsqDWvXus+a5X7KKe5bbOEO7um0+49+5P7SS3FXV7ZWrFjhc+fO9RUrVsRdykbFWR/Q4r1kTywnh7JXzvxPoAN4EDgHeNJDaxMz2xH4m4cWaY+SdHIoCR3aJWf5crj9drjllnCSZ9iwMIPnlFPCMCJNdZSY9HVyKI5D9a2AE4AxwKeBLQjXat/U359qZi1m1pKkw+GuDu1cXR3akmPdurDa0JQp4VD84ovDzzvvDIfit9wSrrmj0JQEi+Pk0CTgVXfPAJjZH4GDgRFmNtjd1wCjgWUb+2V3vxm4GUKLszgl960UOrRj9frr8JvfwK23QmtrOAt+7rlw+umw225xVycSSRz/rb8GTDSzzc3MgCOA54FZwJTsa04F7ouhtn4riQ7tYlu7Nqw+9JWvwE47wY9+FC5ze9ddYXD6NdcoNKUkxdXH+WPgG8AaYD5haNIOhOFIW2e3/R93/6i390lSH2eXJE8TK5r33oPbboNf/Sr0XW6zDXzrW6F1ucsucVcn0qe++jg1c0jy57nn4L//O/RXfvABHHIInH12mM2zQf+vSJJp5pAUlnu4HO7Pfgb/+AcMGQInnwxnnQX77ht3dSIFoeCU/nEPQXnFFfD447DDDiE8Tz9d0x+l7Ck4JbpZs8IFy2bPhk9/OszqOf300NoUqQAaLCeb7p//hEMPhcMPh8WL4brr4JVX4HvfU2hKRVFwSt9mzw5heeih8NJL8MtfhrPlZ58NQ4fGXZ1I0Sk4pWdPPBGWbvvCF8KlKK69NgTm97+vwJSKpuCUT5ozJ6xOdMghYTm3//qvEJjnngup1CderhWhBk77sLQoOKXbU0+Fa4kfdBAsWBBm9ixZAj/4QVjabSOSfomDUqB9WHo0AF7C9cWvuCJMjxw1Ci68EM48E7bYotdf04pQA6d9mEyJWx1JEqSlBb78ZTjggBCeV10Fr74aFg/uIzRBK0Llg/ZhadI4zko0b15oYT7wAGy9Nfz0p2Gmz5ZbRnobrQg1cNqHpUktzkoyf364sFldXThjfuWVoYV58cWRQxO0IlQ+aB+WJvVxVoKFC0ML889/hhEj4Pzzw5CiYcPy8vZaEWrgtA+TRYt8VLKlS0NI3nsvDB8OP/4xnHNOuJ9HNTU1+sc+QNqHpUXBWY46O2HatBCU69bBZZfBeeeF1qaIDJiCs9w8/jh897uwaFG49vh110FtbdxViZQVnRwqF2+9BaedFi509q9/wX33hZtCUyTvFJylbt26cAG03XYLK6//8IdhXvnxx8ddmUjZ0qF6KXv55dDKfPzxsBDHDTfAnnvGXZVI2VOLsxStWxeu7bPPPqEv87bb4NFHFZoiRaIWZ6lpbQ2tzFmz4Jhj4JZbwmUrRKRo1OIsFe5w882w115hjvmtt8Jf/qLQFImBgrMUrFgRFuP49rdh4sRweN7QAGZ9/qrWeRTJPwVn0j34IOy9dzg0v/768HinnTbpV7XOo0hhKDiTavXqsC7mUUeFNTKbm8NF0TahlQmhpdnQ0EBHRwcrV66ko6ODhoYGtTxF8kDBmURvvBEujHbNNeHwfO5cMttuG+mQu5TWeVR3gpQaBWfSPPkkTJgQVjS6+2646Saa7rsv8iF3qazzqO4EKUnuXrK3CRMmeFm55Rb36mr3MWPcFy50d/cVK1Z4KpVyYP0tlUr5ihUr+ny76dOneyqV8mHDhnkqlfLp06cX+htEMpDvJlJIQIv3kj1qcSbB6tXhGj9nnAFf/GIYbrT33sDADrnr6+tpa2vj4Ycfpq2tjfr6+kJU32+l1J0gkksD4OP25pswZUqYNnnBBeEyFoO7/1gGesid5HUeS6U7QWRDanHGqbk59GfOmwfTp8PVV38sNKG8L61Qzt9NypsunRGXu++GU0+F7bYLl7QYN67Xl5fzpRXK+btJaUrkpTPMbARwKzCWcFLgNOAl4G4gDbQCX3f3d+Oor+Buuin0aR58MPzpT2GcZh+SfMg9UOX83aQ8xXWo/ktgprt/DtgHeAG4CHjE3XcFHsk+Lj9XXRVWaP/Sl8IsoE0ITRFJlqIHp5kNB74ANAK4+2p3fw84Afht9mW/BU4sdm0F5R4WGb74YviP/wgtzVQq7qpEpB/iaHGOATLAb8xsvpndamZbANu6+xvZ1ywHto2htsJYuzbMALr66tDavPNOqKrKy1tX0qybSvqukmxxBOdgYDxwo7vvC/ybDQ7LswNQN3rWysymmlmLmbWUxD+g1auhvj6sm3nppfCrX8Fm+dntlTTrppK+q5SA3kbHF+IGbAe05jz+PPAXwsmh7bPbtgde6uu9Ej9zaNUq96OOcgf3X/wir29dSbNuKum7SjKQtJlD7r4cWGpmu2U3HQE8D9wPnJrddipwX7Fry6uVK8PKRg89FBYdPv/8vL59Jc26qaTvKqUhrplDZwO/N7NqYAnwLUK3wT1m1gC0AV+PqbaBe/99OProMLD97rvDzKA8q6RZN5X0XaU0xDIcyd0XuHudu+/t7ie6+7vu/ra7H+Huu7r7JHd/J47aBqyjA449NswKKlBoQmXNuqmk7yqlQTOH8u2CC+AXv4CmJjjppIJ/XCXNuqmk7yrxSuTMobK1YAFcey1MnVqU0ITKmnVTSd9Vkk2LfORL11jNkSPhqqs05lCkjCk48+Wmm2DuXJg2jaaZMzXmUKSMqY8zH5Ytg913hwMPJHPnndSm03R0dKx/OpVK0dbWpsPMPqgPU5Kirz5OtTjz4ZxzoLMTbriB1rY2jTnsB80MklKi4Byo//kf+MMf4LLL4DOf0ZjDftCljKXUKDgHYtUqOOss2HPP9TODNOYwOs0MklKj4UgDccUV8Npr4XpBOf/w6+vrmTRpkvrrNtGmttLVBypJoRZnf82fD9OmhTGbBx/8iadramrYb7/99A98E2xKK119oJIkOqveH2vXwoEHQlsbvPgibLVV8WsoQz21KDOZDLW1tRqpIEWjmUOFcOONYS769OkKzTzqaWZQVx9obnB29YEqOCUOOlSPatkyuOQSOPLIok2rrHQaqSBJo+CMKmfMJmZxV1MRNFJBkkaH6lF0jdn86U/hM5+Ju5qKopEKkiQ6ObSpVq0K4zW33BKefvpjw49EpLzo5FC+9DBms1A0ZlEkudTHuSn6GLOZbxqzKJJsOlTvS5HHbGrMokj8tDrSQHWN2Zw2rShjNjVvu7xoQevypODsTQxjNjVmsXyoy6V8KTh78/3vF33MpsYslgctlVfedFa9J/ffD3/8I/zsZ0Ufs6kxi6VP00TLW0UF5yYP8elaZ3Ps2PXrbBabruhYeIUc8qUul/JWMYfqkfqbLr8cli6FX/8aqqqKV6QUTaH7H9XlUt4qYjhSpCE+8+dDXR2ccUa4cqWUnWIO+dJEhtKk4UhEGOKzdm0Y5F5TE/o2pSwVc8iXFrQuTxXRx7nJ/U033AAtLdDUpHU2y5j6H2WgKqLFuUn9Te3tcOmlcNRR8I1vxFesFJz6H2WgKqKPs0uv/U1f+xr89a/w3HOw8855rlSSSP2P0hOtjpSjxyE+uWM2FZoVQ0O+pL8q4lC9VwkYsykipSW24DSzQWY238weyD4eY2ZPmdliM7vbzIqzUrDGbIpIRHG2OM8BXsh5/HPgWnffBXgXaCh4BV3rbH7723DQQQX/OBEpD7EEp5mNBr4M3Jp9bMDhwIzsS34LnFjQIjRmU0T6Ka6TQ9OAC4Ets49HAu+5+5rs43Zgh4JWoDGbItJPRW9xmtmxwAp3n9fP359qZi1m1tLvJbo0ZlNEBiCOQ/WDgePNrBW4i3CI/ktghJl1tYBHA8s29svufrO717l7Xb+HksSwzqaIlI+iB6e7X+zuo909DZwE/MPdTwZmAVOyLzsVuK8gBdx3H/zpT+FsusZsikg/JGkc5w+BH5jZYkKfZ2PeP+H99zVmU0QGLNaZQ+7+KPBo9v4SYP+CfuDll4f+zbvv1phNEem3JLU4C+ujj+Dvf9eYTREZsMqZqz5kCDz9NGywnJiISFSVE5wQwnPIkLirEJESVzmH6iIieaLgFBGJSMEpIhKRglNEJCIFp4hIRApOEYlVJpOhubmZfi/aEwMFp4jEpqmpidraWiZPnkxtbS1NTU1xl7RJKuoqlyKSHJlMhtraWjo6OtZvS6VStLW1xX4Rvb6ucqkWp4jEorW1lerqj19arKqqitbW1ngKikDBKSKxSKfTrN5gCnRnZyfpdDqegiJQcIpILGpqamhsbCSVSjFs2DBSqRSNjY2xH6Zvisqaqy4iiVJfX8+kSZNobW0lnU6XRGiCglNEYlZTU1MygdlFh+oiIhEpOEVEIlJwiohEpOAUEYlIwSkiEpGCU0QkIgWniEhECk4RkYhKenUkM8sAbXHXkTUKeCvuInqg2vonybVBsusr9dpq3b3HUfklHZxJYmYtvS1DFSfV1j9Jrg2SXV+516ZDdRGRiBScIiIRKTjz5+a4C+iFauufJNcGya6vrGtTH6eISERqcYqIRKTg7AczG2FmM8zsRTN7wcwONLOtzewhM3s5+3OrmGo7z8yeM7NFZtZkZkPNbIyZPWVmi83sbjOr7vud8lbPbWa2wswW5Wzb6L6y4Lpsnc+Y2fgYarsm++f6jJn9ycxG5Dx3cba2l8zsqGLXlvPc+WbmZjYq+7io+623+szs7Oz+e87Mrs7ZHuu+M7NxZvakmS0wsxYz2z+7vX/7zt11i3gDfgucnr1fDYwArgYuym67CPh5DHXtALwKpLKP7wG+mf15UnbbTcB3i1jTF4DxwKKcbRvdV8CXgL8BBkwEnoqhtiOBwdn7P8+pbQ9gITAEGAO8AgwqZm3Z7TsCfyeMXx4Vx37rZd8dBjwMDMk+3iYp+w54EDgmZ389OpB9pxZnRGY2nPAH0wjg7qvd/T3gBEKgkv15Yhz1EVb1T5nZYGBz4A3gcGBG9vmi1ubujwHvbLC5p311AnCHB08CI8xs+2LW5u4Puvua7MMngdE5td3l7h+5+6vAYmD/YtaWdS1wIZB7cqKo+62X+r4LXOXuH2VfsyKnvrj3nQPDsveHA6/n1BZ53yk4oxsDZIDfmNl8M7vVzLYAtnX3N7KvWQ5sW+zC3H0Z8AvgNUJgrgTmAe/lhEE7oWUap5721Q7A0pzXxV3raYTWCCSgNjM7AVjm7gs3eCr22rI+C3w+2y30TzPbL7s9CfWdC1xjZksJ/0Yuzm7vV20KzugGEw4DbnT3fYF/Ew431/NwDFD04QrZvsITCOH+aWAL4Ohi1xFFXPuqL2Z2KbAG+H3ctQCY2ebAJcBlcdfSi8HA1oRD3guAe8zM4i1pve8C57n7jsB5ZI8Y+0vBGV070O7uT2UfzyAE6ZtdTfzszxU9/H4hTQJedfeMu3cCfwQOJhx+dF2YbzSwLIbacvW0r5YR+vC6xFKrmX0TOBY4ORvsEH9tnyH8h7jQzFqzn/+0mW2XgNq6tAN/zB72zgXWEeaFJ6G+Uwn/HgDupburoF+1KTgjcvflwFIz2y276QjgeeB+wh8O2Z/3xVDea8BEM9s8+z99V22zgCkx15arp311P3BK9kznRGBlziF9UZjZ0YQ+xOPd/YOcp+4HTjKzIWY2BtgVmFusutz9WXffxt3T7p4mhNT47N/H2Pdb1p8JJ4gws88STpy+Rcz7Lut14IvZ+4cDL2fv92/fFfrsWznegHFAC/AM4S/LVsBI4JHsH8jDwNYx1fZj4EVgEXAn4UzmzoS/qIsJ/9sOKWI9TYT+1k7CP/aGnvYV4czmrwhnXZ8F6mKobTGhz2tB9nZTzusvzdb2EtkztMWsbYPnW+k+q17U/dbLvqsGfpf9u/c0cHhS9h1wCKG/fyHwFDBhIPtOM4dERCLSobqISEQKThGRiBScIiIRKThFRCJScIqIRKTgFBGJSMEpIhKRglPKmpntl11ncaiZbZFdJ3Js3HVJadMAeCl7ZnYlMBRIEdYZ+FnMJUmJU3BK2bOw4n0z8CFwkLuvjbkkKXE6VJdKMBL4FLAloeUpMiBqcUrZM7P7gbsIy7Jt7+5nxVySlLjBfb9EpHSZ2SlAp7tPN7NBwP8zs8Pd/R9x1yalSy1OEZGI1McpIhKRglNEJCIFp4hIRApOEZGIFJwiIhEpOEVEIlJwiohEpOAUEYno/wPI6d5Nmhtu4AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# logarithmic\n",
    "from sklearn import linear_model\n",
    "import numpy as np\n",
    "lr = linear_model.LinearRegression()\n",
    "X = (xkcd\n",
    "     [['x']]\n",
    "     .assign(x=30*np.log(xkcd.x-40))\n",
    "    )\n",
    "\n",
    "lr.fit(X, xkcd.y)\n",
    "df_ =(xkcd\n",
    " .assign(yhat=lr.predict(X))\n",
    ")\n",
    "\n",
    "ax = df_.plot.scatter(x='x', y='y', c='k', figsize=(5,5))\n",
    "df_.plot(x='x', y='yhat', c='r', ax=ax) \n",
    "print(lr.coef_, lr.intercept_)\n",
    "print(lr.score(xkcd[['x']], xkcd.y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.00137583] 69.81248008240969\n",
      "-0.16506016017287073\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# exponential\n",
    "from sklearn import linear_model\n",
    "import numpy as np\n",
    "lr = linear_model.LinearRegression()\n",
    "X = (xkcd\n",
    "     [['x']]\n",
    "     .assign(x=np.exp(xkcd.x*.06))\n",
    "    )\n",
    "lr.fit(X, xkcd.y)\n",
    "df_ = (xkcd\n",
    " .assign(yhat=lr.predict(X))\n",
    ")\n",
    "ax = df_.plot.scatter(x='x', y='y', c='k', figsize=(5,5))\n",
    "df_.plot(x='x', y='yhat', c='r', ax=ax) \n",
    "print(lr.coef_, lr.intercept_)\n",
    "print(lr.score(xkcd[['x']], xkcd.y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.] 82.51612903225806\n",
      "0.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# flat!\n",
    "from sklearn import linear_model\n",
    "import numpy as np\n",
    "lr = linear_model.LinearRegression()\n",
    "X = (xkcd\n",
    "     [['x']]\n",
    "     .assign(x=79)\n",
    "    )\n",
    "lr.fit(X, xkcd.y)\n",
    "df_ =(xkcd\n",
    " .assign(yhat=lr.predict(X))\n",
    ")\n",
    "ax = df_.plot.scatter(x='x', y='y', c='k', figsize=(5,5))\n",
    "df_.plot(x='x', y='yhat', c='r', ax=ax) \n",
    "print(lr.coef_, lr.intercept_)\n",
    "print(lr.score(xkcd[['x']], xkcd.y))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Let's Jump to a Different Model Architecture\n",
    "\n",
    "A decision tree looks at all of the columns and splits on the value in a column that gives the smallest Mean Squared Error (MSE) (see `criterion` parameter)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.43707126762956827\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# decision \"stump\" - Underfits\n",
    "from sklearn import tree\n",
    "import numpy as np\n",
    "dt = tree.DecisionTreeRegressor(max_depth=1)  # notice depth\n",
    "X = xkcd[['x']]\n",
    "dt.fit(X, xkcd.y)\n",
    "df_ = (xkcd\n",
    " .assign(yhat=dt.predict(X))\n",
    ")\n",
    "ax = df_.plot.scatter(x='x', y='y', c='k', figsize=(5,5))\n",
    "df_.plot(x='x', y='yhat', c='r', ax=ax) \n",
    "print(dt.score(xkcd[['x']], xkcd.y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/matt/envs/menv/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but DecisionTreeRegressor was fitted with feature names\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:ns2=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"314.0\" height=\"400.0\" viewBox=\"0.0 0.0 314.0 400.0\">\n",
       "<g id=\"graph0\" class=\"graph\" transform=\"scale(2 2) rotate(0) translate(4 196)\">\n",
       "<title>G</title>\n",
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       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>node0-&gt;leaf2</title>\n",
       "<path fill=\"none\" stroke=\"#444443\" stroke-width=\"0.3\" d=\"M88.87,-92.95C92.26,-84.19 95.87,-74.89 99.21,-66.27\" />\n",
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      ],
      "text/plain": [
       "<dtreeviz.trees.DTreeViz at 0x7fc9fc1d5ca0>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# How can we understand this\n",
    "from dtreeviz.trees import dtreeviz\n",
    "\n",
    "viz = dtreeviz(dt, X, xkcd.y, feature_names=X.columns, title='XKCD Prediction',\n",
    "              scale=2, target_name='y')\n",
    "viz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/matt/envs/menv/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but DecisionTreeRegressor was fitted with feature names\n",
      "  warnings.warn(\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.9400763029368222\n"
     ]
    },
    {
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      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# decision tree - Overfitting\n",
    "from sklearn import tree\n",
    "import numpy as np\n",
    "dt = tree.DecisionTreeRegressor()  # no depth!\n",
    "X = xkcd[['x']]\n",
    "dt.fit(X, xkcd.y)\n",
    "df_ =(xkcd\n",
    " .assign(yhat=dt.predict(X))\n",
    ")\n",
    "ax = df_.plot.scatter(x='x', y='y', c='k', figsize=(5,5))\n",
    "ax.plot(np.arange(50, 180), dt.predict(np.arange(50, 180).reshape(-1,1)), c='r') \n",
    "print(dt.score(xkcd[['x']], xkcd.y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/matt/envs/menv/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but DecisionTreeRegressor was fitted with feature names\n",
      "  warnings.warn(\n"
     ]
    },
    {
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      "text/plain": [
       "<dtreeviz.trees.DTreeViz at 0x7fc9ebf34dc0>"
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     },
     "execution_count": 28,
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   ],
   "source": [
    "# takes a while to generate\n",
    "viz = dtreeviz(dt, X, xkcd.y, feature_names=X.columns, title='XKCD Prediction',\n",
    "              scale=.6, target_name='y')\n",
    "viz"
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  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/matt/envs/menv/lib/python3.8/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but DecisionTreeRegressor was fitted with feature names\n",
      "  warnings.warn(\n"
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     "name": "stdout",
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     "text": [
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