{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Data Mining\n", "\n", "## Lab 3: Model Linear\n", "\n", "Kode pada modul ini sebagian diambil dari Python Data Science Handbook oleh Jake VanderPlas ([In Depth: Linear Regression](http://nbviewer.jupyter.org/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/05.06-Linear-Regression.ipynb))." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import numpy as np\n", "plt.style.use('ggplot')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Linear Regression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Ordinary Least Squares Regression" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeoAAAFXCAYAAABtOQ2RAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAGrlJREFUeJzt3Xts1fX9x/HXt+2Bttir3HZQRC6dtpQ7MgcRQyC4wBYX\nmFuMzAuTMceIwTCWgj9kYTORbGSRi3NbkIEjDJcQsYukAiILsXNzZNAWagKVQAMU2wKltLY9398f\neDpaWnp6zrfn+znf7/Pxlz1pv+f9kcLrfO6Wbdu2AACAkZLcLgAAAHSPoAYAwGAENQAABiOoAQAw\nGEENAIDBCGoAAAyWEssP79y5UydPnlQoFNLjjz+uUaNGadOmTQqFQsrJydGyZcuUkhLTWwAA4GtW\ntPuoy8rKtG/fPv3iF79QQ0ODfv7zn2vs2LGaNGmSvvGNb2jXrl0aOHCg5syZ43TNAAD4RtRD3/n5\n+VqxYoUkacCAAWpublZFRYWmTJkiSZo8ebKOHz/uTJUAAPhU1EFtWZb69esnSTpw4IAmTpyopqam\n9qHurKws1dXVOVMlAAA+FfNisk8++USHDh3S4sWLO7xu27Ysy4r18QAA+FpMQX3s2DHt3btXq1ev\nVlpamlJTU9XS0iJJqq2tVXZ2tiNFAgDgV1EvyW5sbNTbb7+tl19+Wenp6ZKkwsJClZaWasaMGSot\nLdWECRN6fE51dXW0JSS8YDBI+2m/22W4ws9tl2g/7Q/26vujDuqjR4/q2rVr2rhxY/trP/3pT/XG\nG2+opKREgwYN0qOPPhrt4wEAgGII6tmzZ2v27Nm3vb5mzZqYCgIAAP/DyWQAABiMoAYAwGAENQAA\nBiOoAQAwGEENAIDBCGoAAAxGUAMAYDCCGgAAgxHUAAAYjKAGAMBgBDUAAAYjqAEAMBhBDQCAwQhq\nAAAMRlADAGAwghoAAIMR1AAAGIygBgDAYAQ1AAAGI6gBADAYQQ0AgMEIagAADEZQAwBgMIIaAACD\nEdQAABiMoAYAwGAENQAABiOoAQAwGEENAIDBCGoAAAxGUAMAYDCCGgAAgxHUAAAYjKAGAMBgBDUA\nAAYjqAEAMBhBDQCAwQhqAAAMRlADAGAwghoAAIMR1AAAGIygBgDAYCmx/PDZs2e1YcMGzZ8/X3Pn\nztWWLVt0+vRpZWRkSJK+853vaOLEiY4UCgCAH0Ud1M3Nzdq2bZsKCws7vP7kk09q0qRJMRcGAABi\nGPoOBAIqKipSTk6Ok/UAAIBbRN2jTkpKUlLS7Tm/f/9+vffee8rKytLixYt11113xVQgAAB+FtMc\ndWePPPKIMjIydN9992nv3r3661//queee87JtwAAJIhQyFJFRZqqqpI1YkSb8vNvyLJst8tKOI4G\n9dixY9v/e8qUKfrTn/7U488Eg0EnS0g4tJ/2+5Wf2y75o/2HDzdq3rw0tbRYCgRslZT008yZ6ZL8\n0X6nOBrUv/nNb7Ro0SINHjxY5eXluvfee3v8merqaidLSCjBYJD20363y3CFn9su+af9lZUZammx\nJEktLZYqK9s0Zky1b9rfnd5+SIk6qE+fPq0dO3aopqZGycnJ+vjjj/Wtb31LGzduVGpqqvr3768X\nXngh2scDAAwWybD2iBFtCgTs9h71iBFtLlWb2KIO6pEjR2rt2rW3vf7QQw/FVBAAwHwVFWmaNy+r\nPYSLi6WCgsYO35Off0PFxeoQ5ug9R4e+AQD+UFWV3GFYu6oqWQUFHb/HsmwVFDTe9jp6hyNEAQC9\nFh7WlsSwdh+jRw0A6DWGteOHoAYA9BrD2vFDUAMAYsLBJn2LoAYAxCSSFeCIHovJAMBDQiFLZWXp\nKi7OUFlZumzb6vI1J3W1AhzOoUcNAB7SVe9WUp/2eDnYpG8R1ADgId31bnva8xwLVoD3LYIaADyk\nu95tX/Z4WQHetwhqAPCQ7nq3nV9jpXbiIKgBwEPsLrK2qx5veXk6K7UTBEENAB4S6VapSM7qhhnY\nngUAHhLpVinO6k4c9KgBwEMi3SrFSu3EQVADgIdEGsCs1E4cBDUAeAgB7D3MUQMAYDCCGgAAgxHU\nAAAYjKAGAMBgBDUAAAYjqAEAMBhBDQCAwQhqAAAMRlADAGAwTiYDAA/hnmnvIagBwEMiveYSiYOh\nbwDwkEivuUTiIKgBwEO4Z9p7GPoGAA/hnmnvIagBwEO45tJ7GPoGAMBgBDUAAAYjqAEAMBhBDQCA\nwVhMBsCzOKULXkBQA/Asp0/pIvjhBoIagGd1dUpXLNuWOJ4TbmCOGoBnOX1KF8dzwg30qAF4QlfD\n0k6f0hUO/nCPmuM5EQ8ENQBP6GpY+sEHnT0+k+M54QaCGoAndD0s7eyccjyP52ThGsJiCuqzZ89q\nw4YNmj9/vubOnasvvvhCmzZtUigUUk5OjpYtW6aUFD4LAOh7XQ1LO72YLJ5YuIawqFO0ublZ27Zt\nU2FhYftru3fv1mOPPaZp06Zp165dOnTokObMmeNIoQBwJ10PS6cl7JxyIn/IgLOiXvUdCARUVFSk\nnJyc9tfKy8s1efJkSdLkyZN1/Pjx2CsEgAiEh6XnzbumgoJGWZb9VXhf0ZtvXlNx8ZWEmlPmXmmE\nRd2jTkpKUlJSx5xvbm5uH+rOyspSXV1dbNUBQAzC4f3ggzfne//+97sSZr6XhWsI67MJZNu2ZVlW\nj98XDAb7qoSEQPtpv1/Fs+2HDzdq3ry09iHwkpJ+mjkzPW7vH9bS0qajR5u1f/8NjRyZrenT+ysl\npfu92MOG3fpVdp/XF09+/t3vLUeDOjU1VS0tLQoEAqqtrVV2ds+/WNXV1U6WkFCCwSDtp/1ul+GK\neLe9sjKjw3xvZWWbxoyJ///7srL0TgvErvhygZiff/el3n9IcfRkssLCQpWWlkqSSktLNWHCBCcf\nDwBRMWW+l5PNEI2oe9SnT5/Wjh07VFNTo+TkZH388cdavny5Nm/erJKSEg0aNEiPPvqog6UCQHSc\nmu+NdW8zJ5shGlEH9ciRI7V27drbXl+zZk1MBQGA02yH1o3Furc5/IHh3Ln+uueeZhaIISKcRgLA\n85w6PCTWvc3hVehz5mSruppdMYgMt2cB8Dyn5oZNmeuGv9CjBuB5Ts0Ns7cZbiCoAXieUwEbz0s5\ngDCCGoDnEbBIZMxRAwBgMHrUANCHutp7DfQGQQ0AfairrWEdz/AG7oygBgDFfupYdzg2FLEiqAFA\nzh2K0hnHhiJWBDUAKPZTx7rT9dYwb11Zib5FUAOA+q7ny9YwxIqgBgBx6hjMRVADgOj5wlwceAIA\ngMEIagAADEZQAwBgMIIaAACDEdQAABiMoAYAwGAENQAABiOoAQAwGEENAIDBCGoAAAxGUAMAYDCC\nGgAAg3EpB4CohEKWKirSOtw2ZVm222UBnkNQA4hKRUWa5s3Lar+/ubhYKihodLsswHMY+gYQlaqq\nZLW0WJKklhZLVVXJLlcEeBNBDSAqI0a0KRC4OdQdCNgaMaLN5YoAb2LoG0BU8vNvqLhYHeaoATiP\noAYQFcuyVVDQqIICtysBvI2hbwAADEZQAwBgMIIaAACDEdQAABiMoAYAwGAENQAABmN7FoAucZY3\nYAaCGkCXOMsbMAND3wC6xFnegBkIagBd4ixvwAyODn2Xl5frt7/9re69915J0vDhw/Xss886+RYA\n4oSzvAEzOD5HnZ+frxUrVjj9WABxxlnegBkY+gYAwGCO96jPnTun1157TdevX9eCBQs0btw4p98C\nQByxTQtwl2XbtmN/42pra3Xq1Ck9/PDDunjxotatW6fXX39dycmsFgUS1eHDjZozJ619m1ZJyQ3N\nnJnudlmAbzjao87NzdXDDz8sSRoyZIiys7NVW1urQYMGdfsz1dXVTpaQUILBIO2n/b36GTd6t5WV\nGR22aVVWtmnMmNj+3Pizp/1+b39vOBrU//jHP1RXV6dvf/vbqq+v15UrV5Sbm+vkWwC+5sYhJOFt\nWuH3ZJsWEF+OBvWUKVP0u9/9Tv/617/U2tqq559/nmFvwEFdHULS16uy2aYFuMvRoE5NTdWqVauc\nfCSAW7jRu2WbFuAuzvoGEgi9W8B/CGoggdC7BfyHA08AADAYQQ0AgMEIagAADEZQAwBgMIIaAACD\nEdQAABiMoAYAwGDsowYMwFWSALpDUAMGcOOyDQCJgaFvwABdXbYBABJBDRghfNmGJK6SBNABQ9+A\nAfLzb+j9921dvpyimpqbPWvbtpinBkBQAyawLFttbZaeeuou5qkBdMDQN2AI5qkBdIUeNaD4bY+6\n9X3y8ho1evT/hrfD89ThHjXz1AAkghqQFNn2KCfC/Pb3+VIFBY0KhSylpNjaubNBNTWW8vJalZ9/\nw8kmAkhQDH0DimzYORyyS5ZkaN68LJWXpzn2PhUVaXruuUydPp2s8+eT1NjIX00AN9GjBhTZsHNX\nIVtQ4Mz7VFUl68c/btb//V/aLb3tEIvJABDUgHRze1RxsToMa3fmxBzyre+Tl5es0aNvtD/7zJnY\nPwgA8B6CGtDN7VEFBY13DMZIwrw37xMMBlVdXd/+7MbGJBaTAbgNQQ1EKJIwj+XZU6ZcV3FxKKYP\nAgC8h6AGDNGXHwQAJC6WlgIAYDCCGgAAgxHUAAAYjKAGAMBgLCaDb8TrPG8AcBJBDd+I5DxvADAN\nQ9/wDa6RBJCICGr4RvgIUEmc/AUgYTD0Dd9w4ghQAIg3ghq+wclfABIRQQ3f6bz6+4EHbujkSVaD\nAzATQQ3P6m47VufV33v2JOl738tgNTgAIxHU8KzutmN1Xv3NPdAATMaqb3hWd9uxOq/+vv9+VoMD\nMBc9anhWOJDDPepwAHde/f3ggze4BxqAsQhqeFY4kC9cSFJmpr7qUacrP//Gbau/WQ0OwFQENTwr\nvB1LSufoUAAJizlq9KlQyFJZWbqKizNUVpYu27biXgNHhwJIZI73qLdv367PPvtMlmXpmWee0ahR\no5x+CyQQEy7C6G6uGgASgaNBXV5ergsXLmj9+vU6f/68tm7dqvXr1zv5FkgwXfVm4z0XzNGhABKZ\no0F94sQJTZ06VZI0bNgwXb9+XU1NTUpNTXXybZBATOjNcnQogETmaFDX19dr5MiR7V9nZmaqvr5e\nQ4cOdfJtkEDozQJAbBwNatu27/g1/IfeLADExtGgzs3NVX19ffvXdXV1ys7OvuPPBINBJ0tIOLSf\n9vuVn9su0X6/t783HA3q8ePHa8+ePZo9e7bOnDmj3NzcHuenq6urnSwhoQSDQdpP+90uwxV+brtE\n+2l/7z6kOBrUeXl5uv/++/Xyyy8rKSlJixcvdvLxAAD4juP7qJ988kmnHwkAgG9xMhkAAAYjqAEA\nMBiXcsAVoZClw4cbVVmZ0b6/2rLYzgcAnRHUcMXNM8DTuNEKAHrA0DdcwY1WABAZghquCJ8BLokb\nrQDgDhj6hivy82+opKSfKivbOAMcAO6AoIYrLMvWzJnpGjPGv6cTAUAkCGrEVShkqaIiTVVVycrL\na9To0RarvQHgDghqxNXN1d5Zt6z2/pLV3gBwBywmQ1yx2hsAeoegRlyx2hsAeoehb8RVfv4NFRfr\nqznqZI0ezWpvALgTghoRuXURWCxHflqWrYKCRhUUhO+kre+DagHAOwhqROT2RWAc+QkA8cAcNSLC\nIjAAcAdBjYiwCAwA3MHQNyJy6yIwjvwEgPghqBGRWxeBdcepBWcAgP8hqH2mL8OUBWcA4DyC2md6\nE6a9DfWuFpzdqQcOAOgZQe0zvQnT3vaQwwvOwt/PgjMAiB1B7TO9CdPe9pBZcAYAziOofSQUspSS\nYmvnzgbV1FjKy2u9Y5j2toccyYIzAEDvENQed+s88+DBtl58cYCqqpK/Gsq+csc5Z3rIAOA+gtrj\nOs8zr1t3Q0VF6RENZdNDBgD3EdQe13me+dq1m69Hu9iLvdIAEF8Etcd1nmeeNq1Vb755TaNGtaqt\nzVJxcUavApe90gAQXwR1goi2J9vVPLNl2SorS48qcNkrDQDxRVAniGh7st3NM0cbuOyVBoD4IqgT\nhNM92WgDl5XgABBfBHWCcLonG23gshIcAOKLoE4QTvdkCVwASAwEdYIgWAHAn5LcLgAAAHSPoAYA\nwGAENQAABmOO2lAc1QkAkAhqY3FUJwBAYujbWF0dcAIA8B+C2lDhA06k6G+6AgAkPoa+DcVRnQAA\nycGg/vDDD7V7924NHTpUkjRu3Dh997vfderxvsMBJwAAyeEe9fTp0/XUU085+UgAAHyNOWoAAAzm\naI+6rKxMr776qlpbW7Vo0SKNGDHCyccDAOA7UQX1wYMHdeDAAVmWJdu2ZVmWpk+frieeeEITJ05U\nZWWlNm/erA0bNjhdLwAAvmLZtt0nx10tWbJEv//972VZVl88HgAAX3Bs6Pvdd9/V3XffrenTp+vs\n2bPKysqKKKSrq6udKiHhBINB2k/73S7DFX5uu0T7aX+wV9/vWFDPmDFDr7/+ukpKShQKhbR06VKn\nHg0AgG85FtS5ublau3atU48DAABie5YrQiFLZWXp2rbthsrK0mXbzOMDALrGEaIu6HgzVio3YwEA\nukWP2gXcjAUAiBRB7QJuxgIARIqhbxeEb8Y6d66/7rmnmZuxAADdIqhdEL4Za86cbFVX17W/HgpZ\nqqhI63C1pWX1yXk0AIAEQVAbpOMiM5tFZgAA5qhNwiIzAEBnBLVBWGQGAOiMoW+DhBeZ3TpHDQDw\nN4LaIOFFZgUFblcCADAFQ98AABiMoAYAwGAENQAABiOoAQAwGEENAIDBCGoAAAxGUAMAYDCCGgAA\ngxHUAAAYjKAGAMBgBDUAAAYjqAEAMBhBDQCAwQhqAAAMRlADAGAwghoAAIMR1AAAGIygBgDAYAQ1\nAAAGI6gBADAYQQ0AgMEIagAADEZQAwBgMIIaAACDEdQAABiMoAYAwGAENQAABiOoAQAwGEENAIDB\nCGoAAAxGUAMAYLCUaH+wvLxcGzdu1E9+8hNNmjRJkvT555/rj3/8oyzL0vDhw/WjH/3IsUIBAPCj\nqHrUFy9e1HvvvacHHnigw+tvvfWWnn32Wf3yl79UY2Ojjh075kiRAAD4VVRBnZOTo5UrVyotLa39\ntdbWVtXU1GjkyJGSpMmTJ+v48ePOVAkAgE9FNfTdr1+/2167du2aBgwY0P51VlaW6urqoq8MAAD0\nHNQHDx7UgQMHZFmWbNuWZVl64oknNG7cuA7fZ9v2bV9bluVstQAA+EyPQT1r1izNmjWrxwdlZWXp\n2rVr7V/X1tYqJyenx58LBoM9fo+X0X7a71d+brtE+/3e/t5wbHtWcnKyhg0bplOnTkmSSktLNWHC\nBKceDwCAL1l25zHrCHz66afat2+fqqurlZmZqezsbK1evVrnzp3TH/7wB9m2rdGjR+uHP/xhX9QM\nAIBvRBXUAAAgPjiZDAAAgxHUAAAYjKAGAMBgUZ/17YRQKKStW7fq0qVLamtr06JFi/T1r3/dzZLi\nZvv27frss89kWZaeeeYZjRo1yu2S4mrnzp06efKkQqGQHn/8cT300ENulxRXX375pV566SUtXLhQ\nM2fOdLucuDpy5IjeffddpaSk6Pvf/76vdoc0NTVp06ZNun79ulpbW7Vw4UKNHz/e7bL63NmzZ7Vh\nwwbNnz9fc+fO1RdffKFNmzYpFAopJydHy5YtU0qKq3HUpzq3//Lly9q6dava2tqUkpKin/3sZ8rK\nyur2513tUX/00UdKTU3VunXrtHTpUm3fvt3NcuKmvLxcFy5c0Pr167V06VJt27bN7ZLiqqysTOfO\nndP69etVVFSkt956y+2S4u5vf/ubMjIy3C4j7hoaGvTOO+9o/fr1WrVqlf75z3+6XVJcffjhhxo2\nbJjWrl2rFStW+OJ3v7m5Wdu2bVNhYWH7a7t379Zjjz2mdevWaciQITp06JCLFfat7to/Z84cvfLK\nK5o6dar27dt3x2e4GtSPPPKInn76aUlSZmamGhoa3Cwnbk6cOKGpU6dKkoYNG6br16+rqanJ5ari\nJz8/XytWrJAkDRgwQM3NzbedbOdl1dXVOn/+fPutc37y3//+V+PGjVP//v2VnZ2tJUuWuF1SXGVm\nZrYfDNXQ0KDMzEyXK+p7gUBARUVFHQ7AKi8v1+TJkyV5/16Irtr//PPPa9q0aZIiyz5XgzopKal9\nuKO4uFgzZsxws5y4qa+v7/AXNDMzU/X19S5WFF+WZbWfF3/gwAFNnDjRV8fN/vnPf9bTTz/tqw8n\nYTU1NWpubtZrr72mtWvX6sSJE26XFFff/OY3dfnyZS1fvlyvvPKKFi1a5HZJfS4pKUmBQKDDa83N\nze3/9nv9Xoiu2t+vXz9ZlqVQKKT9+/f3mH1xmxS405nh77//vqqqqrRq1ap4leOqrs5F96NPPvlE\nhw4d0po1a9wuJW4++ugj5eXladCgQZL892dv27YaGhq0cuVKXbp0SevWrdOWLVvcLitujhw5ooED\nB6qoqEiff/653njjDb366qtul+Uqv94LEQqFtGnTJo0dO1Zjx4694/fGLai7OzP84MGD+s9//qOV\nK1cqKckfi9Bzc3M79KDr6uqUnZ3tYkXxd+zYMe3du1erV6/ucF2q13366ae6dOmS/v3vf6u2tlaB\nQEADBw7s8S+qV2RnZysvL0+WZWnIkCFKS0vT1atXfTEELEmnTp1qXzx33333qba2VqFQyDf/9oWl\npqaqpaVFgUBAtbW1vvv3T5K2bNmiYDCohQsX9vi9rv52XLx4USUlJXrppZc8veKvs/Hjx6u0tFSS\ndObMGeXm5io1NdXlquKnsbFRb7/9tlatWqX09HS3y4mrF198Ub/+9a/1q1/9SrNmzdKCBQt8E9KS\nNG7cOJWVlcm2bV29elVNTU2+CWlJGjp0qCorKyXdnAZIS0vzXUhLUmFhYfu/gX68F+LIkSMKBAIR\nhbTk8hGiu3bt0tGjRzVw4MD219asWaPk5GS3Soqbv/zlL6qoqFBSUpIWL16s4cOHu11S3HzwwQd6\n55139LWvfa39tWXLlunuu+92sar427NnjwYPHuy77VkffPCBDh48KMuytGDBAl8tqmtqatLWrVt1\n5coVhUIh/eAHP1B+fr7bZfWp06dPa8eOHaqpqVFycrJyc3O1fPlybd68WS0tLRo0aJBeeOEFz35g\n6ar9V69eVSAQaB9NvOeee7R48eJun8FZ3wAAGMybH2EAAPAIghoAAIMR1AAAGIygBgDAYAQ1AAAG\nI6gBADAYQQ0AgMEIagAADPb/LOfZWiHfXTQAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rng = np.random.RandomState(1)\n", "x = 10 * rng.rand(50)\n", "y = 2 * x - 5 + rng.randn(50)\n", "plt.scatter(x, y);" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeoAAAFXCAYAAABtOQ2RAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.linear_model import LinearRegression\n", "\n", "model = LinearRegression(fit_intercept=True)\n", "\n", "model.fit(x[:, np.newaxis], y)\n", "\n", "xfit = np.linspace(0, 10, 1000)\n", "yfit = model.predict(xfit[:, np.newaxis])\n", "\n", "plt.scatter(x, y)\n", "plt.plot(xfit, yfit);" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "('Model slope: ', 2.0272088103606953)\n", "('Model intercept:', -4.9985770855532037)\n" ] } ], "source": [ "print(\"Model slope: \", model.coef_[0])\n", "print(\"Model intercept:\", model.intercept_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Multidimensional Linear Regression" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.5\n", "[ 1.5 -2. 1. ]\n" ] } ], "source": [ "rng = np.random.RandomState(1)\n", "X = 10 * rng.rand(100, 3)\n", "y = 0.5 + np.dot(X, [1.5, -2., 1.])\n", "\n", "model.fit(X, y)\n", "print(model.intercept_)\n", "print(model.coef_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Basis Function Regression" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe0AAAFXCAYAAACP5RboAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqGiLiIh4hIq2iIiIR/x/3hDKgg3La78AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.pipeline import make_pipeline\n", "from sklearn.preprocessing import PolynomialFeatures\n", "\n", "poly_model = make_pipeline(PolynomialFeatures(7),\n", " LinearRegression())\n", "\n", "rng = np.random.RandomState(1)\n", "x = 10 * rng.rand(50)\n", "y = np.sin(x) + 0.1 * rng.randn(50)\n", "\n", "poly_model.fit(x[:, np.newaxis], y)\n", "yfit = poly_model.predict(xfit[:, np.newaxis])\n", "\n", "plt.scatter(x, y)\n", "plt.plot(xfit, yfit);" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe0AAAFXCAYAAACP5RboAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngJCgLYQQQgwQ/z8Oxx6Vq5yy0gAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "features = [15, 20, 25]\n", "\n", "plt.scatter(x, y)\n", "plt.ylim([-2, 2])\n", "for f in features:\n", " poly_model = make_pipeline(PolynomialFeatures(f),\n", " LinearRegression())\n", "\n", " poly_model.fit(x[:, np.newaxis], y)\n", " yfit = poly_model.predict(xfit[:, np.newaxis])\n", "\n", " plt.plot(xfit, yfit, label='Poly-{}'.format(f))\n", "plt.legend(loc=2)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfUAAAFuCAYAAACY6YGRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqBMREZkEQ52IiMgk/h8zOabzBb8qRwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coefs = poly_model.steps[1][1].coef_\n", "plt.plot(range(len(coefs)), coefs, c='y')\n", "plt.xlabel('basis location')\n", "plt.ylabel('coefficient')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Regularisation" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe0AAAFXCAYAAACP5RboAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.linear_model import Ridge\n", "\n", "poly_model = make_pipeline(PolynomialFeatures(25),\n", " Ridge(alpha=0.1))\n", "\n", "poly_model.fit(x[:, np.newaxis], y)\n", "yfit = poly_model.predict(xfit[:, np.newaxis])\n", "\n", "plt.scatter(x, y)\n", "plt.plot(xfit, yfit);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAfUAAAFuCAYAAACY6YGRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coefs = poly_model.steps[1][1].coef_\n", "plt.plot(range(len(coefs)), coefs, c='y')\n", "plt.xlabel('basis location')\n", "plt.ylabel('coefficient')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python2.7/dist-packages/sklearn/linear_model/coordinate_descent.py:466: ConvergenceWarning: Objective did not converge. You might want to increase the number of iterations\n", " ConvergenceWarning)\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe0AAAFXCAYAAACP5RboAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+IRCW0RExCcU2iIiIj6h0BYREfGJ/w/vRbpWeqf5PAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.linear_model import Lasso\n", "\n", "poly_model = make_pipeline(PolynomialFeatures(25),\n", " Lasso(alpha=0.001))\n", "\n", "poly_model.fit(x[:, np.newaxis], y)\n", "yfit = poly_model.predict(xfit[:, np.newaxis])\n", "\n", "plt.scatter(x, y)\n", "plt.plot(xfit, yfit);" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgMAAAFoCAYAAADKAPhTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAACALEcYAAAgyxEGAADIcv8fgP7cu4CGRQQAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coefs = poly_model.steps[1][1].coef_\n", "plt.plot(range(len(coefs)), coefs, c='y')\n", "plt.xlabel('basis location')\n", "plt.ylabel('coefficient')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Logistic Regression" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAawAAAFjCAYAAABhdj/NAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df = sns.load_dataset('iris')\n", "df = df[(df.species == 'setosa') | (df.species == 'versicolor')]\n", "sns.lmplot(x='petal_length', y='petal_width', hue='species', data=df, fit_reg=False);" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LogisticRegression(C=1.0, class_weight=None, dual=False, fit_intercept=True,\n", " intercept_scaling=1, max_iter=100, multi_class='ovr', n_jobs=1,\n", " penalty='l2', random_state=None, solver='liblinear', tol=0.0001,\n", " verbose=0, warm_start=False)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.linear_model import LogisticRegression\n", "\n", "X = df[['petal_length', 'petal_width']]\n", "y = df['species']\n", "y = y.map({'setosa': 0, 'versicolor': 1})\n", "\n", "clf = LogisticRegression()\n", "clf.fit(X, y)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaoAAAFjCAYAAABsaE+KAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niMjQWFRERGRo/x99Z/8l+GOZSAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "colors = 'rb'\n", "\n", "sns.lmplot(x='petal_length', y='petal_width', hue='species', data=df, fit_reg=False)\n", "xmin, xmax = plt.xlim()\n", "ymin, ymax = plt.ylim()\n", "\n", "w = clf.coef_[0]\n", "a = -w[0] / w[1]\n", "xx = np.linspace(xmin, xmax)\n", "yy = a * xx - (clf.intercept_[0]) / w[1]\n", "\n", "plt.plot(xx, yy, ls=\"--\")\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 1 }