{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Feature Scaling - Solution\n", "\n", "With any distance based machine learning model (regularized regression methods, neural networks, and now kmeans), you will want to scale your data. \n", "\n", "If you have some features that are on completely different scales, this can greatly impact the clusters you get when using K-Means. \n", "\n", "In this notebook, you will get to see this first hand. To begin, let's read in the necessary libraries." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "from sklearn.cluster import KMeans\n", "import matplotlib.pyplot as plt\n", "from sklearn import preprocessing as p\n", "\n", "%matplotlib inline\n", "\n", "plt.rcParams['figure.figsize'] = (16, 9)\n", "import helpers2 as h\n", "import tests as t\n", "\n", "\n", "# Create the dataset for the notebook\n", "data = h.simulate_data(200, 2, 4)\n", "df = pd.DataFrame(data)\n", "df.columns = ['height', 'weight']\n", "df['height'] = np.abs(df['height']*100)\n", "df['weight'] = df['weight'] + np.random.normal(50, 10, 200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`1.` Next, take a look at the data to get familiar with it. The dataset has two columns, and it is stored in the **df** variable. It might be useful to get an idea of the spread in the current data, as well as a visual of the points. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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heightweight
count200.000000200.000000
mean569.72620752.141503
std246.96621511.342247
min92.99848116.263732
25%357.54279345.228737
50%545.76675252.065198
75%773.31060761.207241
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" ], "text/plain": [ " height weight\n", "count 200.000000 200.000000\n", "mean 569.726207 52.141503\n", "std 246.966215 11.342247\n", "min 92.998481 16.263732\n", "25% 357.542793 45.228737\n", "50% 545.766752 52.065198\n", "75% 773.310607 61.207241\n", "max 1096.222348 77.908867" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.describe()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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a2Ss3dr1he9TzYx9aeA0MSynlqVrr+kHPU5rLoO3X8ZXF2Wvt0iS5fOF0VldOvuR7jjpv9dqtjVz8pU++EEKTrTmnFz/wSaVAHVnGWrUAU7ToTvd9aOE1ME6CKIPm4NiNg5Z4+cS7vys//QNvXsi81avXb+fuV19aiXH3+eoGQ0fc4AFYjEV3uu9DC6+BcTJHlEHba46ig+NizRP4FzVvdb+bCG4wdMMNHoDFuHju1K5TiI7a6b4PLbwGxsmIKIO26KVM2F2Xd0P3+zfdYOiGu98Ai7HoTvd9aOE1ME5GRBm043R8ZX5d3g29eO5ULv7SJ19SnnvyRHGDoSPufo+P5lIwXIvsdN+XFl4D4yOIMngOjsvXZeDf/jd1ze2PGzzjYmkFAFpk+RYGywgAgKUVABiXhS7fUkpZLaV8oJTymVLKp0spf6WU8spSykdKKZ+d/f8Vx99s2GJ5CYAtmksB0KJ5mxX9TJJfq7W+Mcmbknw6yaUkH621viHJR2dfw0JYXgJgi+ZSALTowCBaSvnzSf5akvcmSa3139da7yR5R5LHZ097PMn5ZW0k02MEAGCL7uEwLddubeTslRt5+NKHc/bKDdVgNGueZkXflOS5JD9XSnlTkqeS/FCSV9dan02SWuuzpZRXLW8zmRrrhwJs0VwKpkNzsmHSt2Q55gmiDyT5liR/r9b68VLKz+QQZbillHcleVeSvO51rzvSRjI9lpcAeJHu4TAN+01Ncgzoh5sDyzPPHNEvJPlCrfXjs68/kK1g+sVSymuSZPb/L+32zbXW99Ra12ut6w8++OAitpkJsLgyADA1piYNj74ly3PgiGit9V+VUv6glHKq1no7yduS/Pbsv0eTXJn9/4NL3VImxwgAADAlpiYNj5sDyzNv19y/l+TnSym/meTNSf7HbAXQ7yylfDbJd86+BgAAjkBzsuHRuXx55pkjmlrrJ5Lstijp2xa7OQAA46e5CUcxxuZkre/r+pYsz1xBFACA+WhuwnGMaWrSFPb1Md4cGAtBFABggXQ+ZSqmsq+P6ebAmMw7RxQAgDlobsJU2Nc5DkEUAGCBNDdhKuzrHIcgCgCwQDqfMhX2dY7DHFEAgAXS3ISpsK9zHKXW2tkPW19frzdv3uzs5wEA0P4SG0flfYHFK6U8VWvdbenPHYyIQsOcYAGYwhIbR+F9gX6ZIwqN2j7BbtzZTM2LJ9hrtzb63jQAOrTfEhtT5n2Bfgmi0CgnWAASS2zsxfsC/VKaC41yggUg2VpKY2OXY/8Ql9jockrJmN4XaJERUWiUtb0ASMazxEbXU0rG8r5Aq4yITthQG9kMdbvG5uK5UzuaMCROsMByOG4P21iW2NhvSskytnUs7wu0ShCdU2sn2aF2ihvqdo2REyzQBcft4+viGuP8mbXBfx59TCkZw/sCrRJE59DiSbbru47zGup2jZUTLLBsjtvHs6hrjBZumJuzCdNijugcWuw+OtRGNnv9/N1OTAD0b6jnk7FYxDVGK8t1HTRn89qtjZy9ciMPX/pwzl65MbrXB+wkiM6hxZPsUBvZ7PXzS+KEAzBAQz2fjMUirjFauWF+/sxaLl84nbXVlZQka6sruXzhdM6fWWsmbAMvEkRz8B22Fk+yQ+0Ud/HcqZRdHq/J6E6oAFMw1PPJWCziGqOlG+bnz6zlyUuP5HNX3p4nLz2yo99BC2EbeNHkg+g8d9haPMnud9ex7+2qe/zdGE+oAK0b6vlkLBZxjdHiDfP7tRS2gS2Tb1Y0T5OFVruPDrWRzZpmBQCjMtTzyRgs4hpjCst1ddnIqIXGTzAGkw+i895hc5LtzhROqACw7bjXGK3eML9XV9cGLa6UAEM1+SCqVfjwTOGEOmZTu1M8tdcLjFPrN8y7ujawHBF0Z/JB1OjbMLV+Qh2rqd0pntrrBRiyLq4NzEWF7ky+WZEmCzC/oXQt7GotuaG8XgC6MYXGTzAUkx8RTYy+wbyGcKe4y1HKIbxegCnqa1qESjnozuRHRIH5DeFOcZejlEN4vQB96qoC5f6fedDSesuiUg66Y0QUmNsQ7hR3OUo5hNcLY6fh13j1NU++74ZBKuWgG4IoMLchdDTustP1bq/3rW98MFev386PvO8TLqpHRBjqh4Zf49ZXIDQtAqZBEAUOpe87xV2PUt77esdwUS1wvdQYPrdW9T2yxfH0FQgtrQfTYI4oMCp9zt8ZehfdPudVDdnQP7eWGdkat77myV88dyorJ0/seMy0CGiPEVFgdPoalR36RbXRp90N/XNrmZGtcetrnvwQpoEAyyeIAsxp6BfVAtfuhv65tUzDr3HrMxD2PQ0EWD5B9BDMvYLlGcPv19AvqgWu3Q39c2uZka3xm3ogHMO5CcZKEJ2TZhewPGP5/Rr6RbXAtbuhf26tm3qQYfG6CodjOTfBWJVaa2c/bH19vd68ebOzn7dIZ6/c2HWkYW11JU9eeqSHLYJ2+P1aHHfvgZbdHw6TrRtuy2ha59wER1NKearWun7Q84yIzsncK1gev1+LY/QJaFmXTdmcm2C5LN8yp75amMMU+P0CYB5dhkPnJlguQXRO1rTqxrVbGzl75UYevvThnL1yY/LrH06F3682+X2GYWjpd7HLcOjcBMsliM7p/Jm1XL5wOmurKynZmh+wjPkIU7Y972PjzmZqXmwKMOYTJvPx+9Uev88wDK39LnYZDp2bYLk0K2IwNAWAdvh9hmFo8XdRUzYYNs2KGB1NAY7OSZnjWvQ+5PcZhqHF30VN2aANSnMZDE0Bjqa1siu6t4x9yO8zDIPfRWCoBFEGQ1OAo9mvlT3MYxn70Dy/zy01UIGhmvK5da9jjGMPDIPSXAZju8xGienhtFh2pdS4W8vYhw76fb5/UfrtUdh7vxc4vqmeW/c6xtz8/T/MLz+14dgDAyCIMijmfRzeQ6sruzaiGGvZlYDSvWXtQ/v9Pne5KD1M3RTPrXsdY37h43+Q5+9r1OnYA/1Qmgsj11rZlVLj7vWxD7U4kg8Mx17HkvtD6EHPB5bHiOhIKV0clmV8HvP+m62VXe11MbBxZzNnr9wY9Wsbqj72odZG8pku5+Nh2usYc6KUXcOoYw90TxAdIaWLw7KMz+Ow/2ZLZVd7XTwk9vVl6nofunju1I59PBn3SD7T5Hw8XHsdY/7mt67tmCO6/bhjD0PX4k0vpbkjpHRxWJbxeUz5M96tTPReU3kfWnf+zFouXzidtdWVlCRrqyu5fOH06E+qTMuUj9VDt9cx5ifOn3bsYXRaXarPiOgImVs1LMv4POb9N1u8O3ZvmeheI6P29Ta0NJLPNC3y+N/i8bxvex1jHHsYm1Yb/BkRHSGLUw/LMj6Pef7NVu+OJVsXCU9eeiRr9nVgwBZ1/G/5eA4cX6uDUILoCLXWJXXslvF57PVvvvWND76wCPePvv+TzZeE2deBIVvUMUqJb7+u3dp44dx69soNNwAYnFYHoZTmjlBrXVLHbhmfx27/5lvf+OCOBgtTaEF/nPdWmdv8vFdwNIs6/rc62jEGGk4xBq02+Ct1j4vZZVhfX683b97s7OdBS85eubHnnMl7ra2u5MlLj3SwRcN1/4VFsnXA1pDipbxX0L+9ju+O58vnvWcsxnTTuJTyVK11/aDnGRGFkZjnzngLd8cWodVJ/cvgvYL+tTraMQZGoxmLFptsCaIwEvstzv3VWgd/d6xLLizm572C/k1pys3QRnX2OreOfe4djIEgCiOx1x1zJZQv5cJift4rtg0tIExNi6Md9xvifEyj0dAfXXNhJPZanLv1C5ej0G13fm9944OHepw2WT6ELgyxO7BzK/THiCiMyBTumC/ClMrcjutjn3nuUI/TphbmChvRHb6hTgVwboV+CKJAk1xYzGeoF4Z0a+z7wRBLPnkpUwGAeynNBZiwVhfJ5nDGvh8MseSTlzJtAriXEVFYEGVh3fA+L5ZGHSTj3w8WOaLb+jGmz9dn2gRwL0EUFkBZWDe8z4vnwpBk/PvBoko+Wz/GDOH1mTYBbCu11oOfVMrvJfmTJM8n+Uqtdb2U8sok70vy+iS/l+Rv1Vq/vN+/s76+Xm/evHnMTYbhOXvlxq4XQWurK3ny0iM9bFGbvM/Abu4PWMnRlrdq/RjT+usDhqGU8lStdf2g5x1mjuhba61vvucfvZTko7XWNyT56OxrmKSxN/oYC+8zsJtFLcHR+jGm9dcHjMtxSnPfkeTbZ39+PMmvJ/mxY24PjJJOgN3wPgN7WUTJZ+vHmNZfHzAu846I1iT/vJTyVCnlXbPHXl1rfTZJZv9/1TI2ELp07dZGzl65kYcvfThnr9yYezF3nQC7cdD7fNTPDyBp/1je+usDxmXeEdGztdZnSimvSvKRUspn5v0Bs+D6riR53eted4RNhG4cp4nD2Bt9jMV+7/MQmnAMXevdQJmOZe3LrR/LW399wLjM1axoxzeU8uNJ/m2S/ybJt9dany2lvCbJr9da972lplkRQ6aJw7j5/Pa3qGYuQyFUT1dr+zJAaxbWrKiU8nWllP9w+89JvivJbyX5UJJHZ097NMkHj7650D9NHMbN57e/q9dv77hwT5LNu8/n6vXbPW3R0W0HkY07m6l5cfRbKfY0tLQvA0zZPKW5r07yK6WU7ef/n7XWXyul/H9J3l9KeWeSzyf5/uVtJiyfJg7j5vPbX0tBfb8gYkSsfS3ty61RqTAOLX9OLb+2Fh0YRGutv5vkTbs8/m+SvG0ZGwVdu3ZrI//uz77yksc1cRiPi+dO7Vqu5/Pb0lJQF0SmraV9uSXm6Y9Dy59Ty6+tVYdZRxSatH3gurN5d8fjr3j5SXOORmRR6wi2at5umWPoPLxX4BBEpmFsnV/H8Du1CEqmx6Hlz6nl19aq46wjCk3Y7cCVJC9/2QNCzMgsYh3BVu3WLfOtb3wwV6/fzo+87xMvfP3LT20M/m6y0e9pG1Pn1ymN0KhUGIeWP6eWX1urBFEmz4GLqbg3qO92gfzz/+Lzub+P+hDnXm5vy49/6FMvVDJ87UkFPlMylptOU5rP3GrJdGtzDlv9nJK2X1urnLmZPGV+TNFuF8h7LeY11Jsyf/aVr77w5y//6V2dcxmcKd3oHFvJ9Dxa7NDd4ue0reXX1ipBlMlz4GKKDnMhPMSbMmOfCzSVeYNTN6UbnS3O0x/7cWY3LX5O21p+ba1SmsvkjWm+ESzKXiVMJTtHRod6U2bMI01Tmjc4dVObzzyWkul5jfk4s5/WPqd7tfzaWiSIQhy4mJ69LpD/5reu5WOfeW7wN2XGPBdoSvMGp86NznEb83EGxkAQBZigsV8gj3mkqdVRFnbnRud4jfk4A2MgiAJM1JgvkMccpI2ywDiM+TgDY1Bq3atP4uKtr6/XmzdvdvbzgP601vJ+yLzX43L/HNFka5RFUw1YLMdG6Ecp5ala6/pBzzMiOmEO0CzLfs1YEneXF0njm/ExyjIuzpXj5NgIw2dEdKLckWeZzl65sWvp4erKyfzZV75qv1ugvd7rtdWVPHnpkR62CNrhXDlejo3Qn3lHRK0jOlEtro3FcOzVdOXO5l373ZzmXWdS45vFsr4n93KuHC/HRhg+pbkT5QDdnymUee3VjGUv9rudDlNSNsXGN8v6HVLKx/2cK8drisdGGBsjohO114HYAXq5ti90N+5spubFC93WRl0unjuVlZMndjy2cvJEXvHyk7s+336302FGYfZ6r1tdXmCZv0NGv7ifc+V4Te3YCGMkiE6UA3Q/pnKhe/7MWi5fOJ211ZWUbM3JuXzhdN79N/6S/W4OhxmF2eu9bnUEb5m/Q0a/jq7VkmbnyvGa2rERxkhp7kTp2tiPKV3o7rdGpf1uf4ctKRvzeqCHtczfIaV8R9NySbNz5bhN6dgIYySITpgDdPdc6Nrv5nHx3KldO3UahVnu75D3/Wj2G6Xu63d9kfOIHbMAlkNpLnRImRfz6KukbAzllcv8HVLKdzRDq/SYylx8gLEzIgodUubFvI4zCnOU0aBFlFd20RF62b9DUxn9WuRnNbRKj6GM0E6hQzrAcQii0LGpXOjSj6MGyuNevHc5T9Dv0PEs+rMaWknzEEZoW543C7AoSnMBGnLUrrLHvXifSkfoFiz6sxpaSfMQllzx+wC5rhxWAAAXg0lEQVRwMCOiAB3oqkzvqIHyuOWVQxiFYj7L+KyGNEo9hBFavw8ABzMiCrBkXTZPOepo0HGbAA1hFIr5tP5ZDWGEtvX3GGARBFGAJeuyTO+ogfK4F+/HCbJj6Nbbkil07z5/Zi1PXnokn7vy9jx56ZHOR2un8B4DHJfSXCZFF0P60GWZ3nG6yh6nvPKoP1dTl+7p3r183mPGyDUSXSu11s5+2Pr6er1582ZnPw/udf8Fb7J1h9o6gSzb2Ss3dp1/uba6kicvPdLDFg3HUd4bF0sAi+UaiUUqpTxVa10/6HlKc5kMXQzpizK9l9oux90thCZ7jxZ3Od8W2J1y+va4RqIPSnOZDF0M6YsyvZ12u/N+v72auhx3vdOpMXo8fGP7jJTTt8k1En0QRJmM4y5PMRVjuygaiyEtb9G33cLkvfYbLXaxND+BYfjG+Bm5GdQm10j0QWkuk6E88mDKHunCfqHxoG69lsWYn1K74RvjZ+RmUJtcI9EHQZTJGMLackM3xosixmev0LjdoGi/30kXS/MTGIZvjJ+Rm0Ftco1EH5TmMinKI/c3xosixldOffHcqV27M84TJs23nZ9Su+Eb42d0nN9fhs01El0TRIEXjPGiaOrGOMfsuGHSxdJ8BIbhG+Nn5GYQsCjWEQVeYB2x8dgeBd1r+RNrlJKMb7R8inxGQGvmXUdUEAV2cFE0fPMsf1KSfO7K27vbqDnZvwCgbfMGUaW5wA7KHofvoOVPkmGWU4+xjJh2uAkCMCy65gKMzEHNo4Y6x0xXZvpiaSqA4RFEAUZmv9HOIbfc15WZvrgJAjA8gijAyOy1luZP/8CbD1yHs0/WH6QvboIADI8gCjAyY114fK8APcQyYtriJgjA8GhWBDBCY2wqZf1B+rKI9To1OwJYLEEUgM6MMUAnQsjYHfcmiI7PAIsniALAPoSQNhznJsh+zY7sAwBHY44oAOxDx1U0OwJYPCOiAI1RRrpYQggPra5kY5fPW7MjgKMTRAEaooz0eHYL8ULI4oz1Jskimh0BsJPSXICGKCM9uu0Qv3FnMzUvhvi3vvFBy84swF7v77VbG31v2oGGtGTStVsbOXvlRh6+9OGcvXJjFO8fwG6MiAI0RBnp0e0V4j/2medy+cLpUY7kDcnYG/4MoeOzigegJYIoQEOUkR7dfiF+CCFk7NwkOb6xh3mAeynNBWjIxXOnlJEe0V5hXYhfDO/v8QnzLIuSb/ogiAI0ZEhz2cZGiF8u7+/xCfMsw5jnbzNuSnMBGqOM9Gi23zNzQZfD+3t8uveyDEq+6YsgCgAzywjxY12yZBncJDkeYZ5lUPJNXwRR6JmLVGiXLqcsmjDPomlyR1/MEYUemZcBbbOuKzB05m/TF0EUeuQiFdqm5A0YOk3u6IvSXOiRi1Rom5I3YAyUfNMHI6LQI634oW1K3gBgd4Io9MhFKrRNyRsA7E5pLvRIK35on5I3AHgpQRR65iIVAICpUZoLAABAp+YOoqWUE6WUW6WUX519/XAp5eOllM+WUt5XSnnZ8jYTAACAVhxmRPSHknz6nq9/MslP1VrfkOTLSd65yA0DALp37dZGzl65kYcvfThnr9zItVsbfW8SAA2aK4iWUl6b5O1Jfnb2dUnySJIPzJ7yeJLzy9hAAKAb125t5LEnns7Gnc3UJBt3NvPYE08LowAs3Lwjoj+d5B8k+ers669PcqfW+pXZ119IotsKABzC0EYfr16/nc27z+94bPPu87l6/XZPWwRAqw4MoqWU70nypVrrU/c+vMtT6x7f/65Sys1Sys3nnnvuiJsJAG0Z4ujjM3c2D/U4ABzVPCOiZ5N8bynl95L8YrZKcn86yWopZXv5l9cmeWa3b661vqfWul5rXX/wwQcXsMkAMH5DHH18aHXlUI8DwFEdGERrrY/VWl9ba319kh9McqPW+reTfCzJ982e9miSDy5tKwGgMUMcfbx47lRWTp7Y8djKyRO5eO5UT1vUr0WXTg+tFBugTw8c/JQ9/ViSXyyl/ESSW0neu5hNAoDFu3ZrI1ev384zdzbz0OpKLp47lfNn+mtv8NDqSjZ2CZ19jj5uvx9Dep/6sl06vT1qvV06neRI78ei/z2AsSu17jq1cynW19frzZs3O/t5ABzf0ALcUdwfApKtkb7LF04f+FqW9fqPs00s39krN3a9UbC2upInLz3S+78HMFSllKdqresHPe84I6IAHMGYgl0rozj7zcfc73Us8/UbfRy2RZdOD7EUG6BPgihAh8YW7I4a4IbmqCFg2a///Jm1Ub2PU7Lo0ukhlmID9GnedUQBWIAhdkrdTyujOEftBtvK6+fwFt24SSMogJ0EUYAOjS3YtLKcx1FDQCuvn8M7f2Ytly+cztrqSkq25nIeZ/7uov89gLFTmgsszZjmQnZlbOV5F8+d2rWhzthGcY46H7OV18/RLLp0Wik2wIsEURiJsYW6sc2F7MrYgk1LDXWOEgJaev0AMCSWb4ERGOMyD5Yq2NvYbioAAMzL8i3QkDF2Lh3bXMguKc8DAKZOsyIYgTGGOk1eAADYiyAKIzDGUGepAgAA9iKIwgiMMdRZqgAAgL2YIwojMNbOneZCAgCwG0EURkKoAwCgFYIoADTKUkEADJUgCgANun/94Y07m3nsiaeTRBgFoHeaFQFAg/ZbfxgA+iaIAkCDxrj+MADToTQXYMnM05uWoXzeD62uZGOX0Dnk9YcBmA4jogBLtD1Pb+POZmpenKd37dZG35vGEgzp8x7j+sMATIcgCrBE5ulNy5A+7/Nn1nL5wumsra6kJFlbXcnlC6eNxgMwCEpzAZbIPL1pGdrnbf3h4xlKmTVAi4yIAizRXvPxzNNrk8+7HUMqswZokSAKsETm6U2Lz7sdQyqzBmiR0lyAJdou41PeNw0+73YMrcwaoDWCKMCSmac3LT7vNnSx/I05qMCUKc0FALjPssuszUEFpk4QBQC4z7KXvzEHFZg6pbkAALtYZpm1OajA1BkRBQDomKV+gKkTRAEAOmapH2DqlOYCAJ3SLdZSPwCCKADQme1usduNera7xSaZXAiz1A8wZYIosBBGOIB57Nct1jEDYDoEUeDYjHAA89ItFoBEsyKY27VbGzl75UYevvThnL1yw6Lj97AeHjAv3WIBSARRmMv2iN/Gnc3UvDjiJ4xuMcIB7VvUzTjdYgFIBFGYixG//RnhgLYt8mbc+TNruXzhdNZWV1KSrK2u5PKF08r4ASbGHFGYgxG//V08d2rHHNHECAe0ZNENhnSLBUAQhTk8tLqSjV1CpxG/LdbDg8UZYgdqN+MAWDRBFOZgxO9gRjjg+IbagXqvm3FfU0oevvThwQTmKRrijQuAeZgjCnMwpwnowlDno+/WYChJnq9VA7ceaaQHjJkRUZiTET9g2YZaAnt/+f3XlJLna93xnOPMGeVoFjl318gq0DVBFKBBLirHacjz0e+9GffwpQ/v+py+A/PULOrGxVBLwoG2Kc0FaIxyvfEayxqblmwahkV9DkMtCQfaJogCNMZF5XiNZT76WAJz6xb1OQy1JBxom9JcgMa4qBy3McxHt2TTMCzqcxhySTjQLkEUoDEuKunCGALzFCzic7BEGdAHpbkAjVE2CRzGWErCgbYYEQVojLJJ4LCMcANdE0QBGuSiEgAYMkEUgIWwdikAMC9BFIBj2167dLvZyfbapUmEUQDgJTQrAuDYrF0KAByGIArAsVm7FAA4DEEUgGPba41Sa5cCALsRRAE4NmuXAgCHoVkRAMdm7VIA4DAEUQAWwtqlAMC8lOYCAADQKUEUAACATinNBYCGXbu1Ye4uAIMjiAJAo67d2shjTzydzbvPJ0k27mzmsSeeTpI9w6jgCkAXlOYCQKOuXr/9Qgjdtnn3+Vy9fnvX528H1407m6l5Mbheu7XRwdYCMCVGRAGgUc/c2TzU4/sFV6Oi3TAiDUzFgSOipZSvLaX8v6WUT5ZSPlVK+Uezxx8upXy8lPLZUsr7SikvW/7mAgDzemh15VCPHza4slhGpIEpmac098+SPFJrfVOSNyf566WUtyT5ySQ/VWt9Q5IvJ3nn8jYTADisi+dOZeXkiR2PrZw8kYvnTu36/MMGVxbrsKXUAGN2YBCtW/7t7MuTs/9qkkeSfGD2+ONJzi9lCwGAIzl/Zi2XL5zO2upKSpK11ZVcvnB6z1LPwwZXFsuINDAlc80RLaWcSPJUkr+Q5H9N8i+T3Km1fmX2lC8k2fWsVkp5V5J3JcnrXve6424vAHAI58+szT3HcPt55ij246HVlWzsEjqNSAMtmiuI1lqfT/LmUspqkl9J8s27PW2P731Pkvckyfr6+q7PAQCG4TDBlcW6eO7UjuV2EiPSQLsO1TW31nqnlPLrSd6SZLWU8sBsVPS1SZ5ZwvYBAEyCEWlgSg4MoqWUB5PcnYXQlSTfka1GRR9L8n1JfjHJo0k+uMwNBQBonRFpYCrmGRF9TZLHZ/NEvybJ+2utv1pK+e0kv1hK+Ykkt5K8d4nbCQAAQCMODKK11t9McmaXx383ybctY6MAAABo1zzriAIAAMDCCKIAAAB0ShAFAACgU4IoAAAAnRJEAQAA6JQgCgAAQKcEUQAAADoliAIAANApQRQAAIBOPdD3BgAAi3Ht1kauXr+dZ+5s5qHVlVw8dyrnz6z1vVkA8BKCKAA04NqtjTz2xNPZvPt8kmTjzmYee+LpJBFGARgcpbkA0ICr12+/EEK3bd59Plev3+5piwBgb4IoADTgmTubh3ocAPokiAJAAx5aXTnU4wDQJ0EUABpw8dyprJw8seOxlZMncvHcqZ62CAD2plkRADRguyGRrrkAjIEgCgCNOH9mbbTB09IzANMiiAIAvbL0DMD0CKIAQK/2W3pGEO2PUWpgmQRRAKBXlp4ZHqPUwLLpmgsA9MrSM8Oz3yg1wCIIogBAryw9MzxGqYFlE0QBgF6dP7OWyxdOZ211JSXJ2upKLl84rQS0R0apgWUzRxQA6N2Yl55p0cVzp3bMEU2MUgOLJYgCALDD9k0BXXOBZRFEAQB4CaPUwDKZIwoAAECnBFEAAAA6JYgCAADQKUEUAACATgmiAAAAdEoQBQAAoFOCKAAAAJ0SRAEAAOiUIAoAAECnBFEAAAA6JYgCAADQKUEUAACATgmiAAAAdEoQBQAAoFOCKAAAAJ0SRAEAAOiUIAoAAECnBFEAAAA6JYgCAADQKUEUAACATgmiAAAAdEoQBQAAoFOCKAAAAJ0SRAEAAOiUIAoAAECnBFEAAAA6JYgCAADQKUEUAACATgmiAAAAdEoQBQAAoFOCKAAAAJ0SRAEAAOiUIAoAAECnBFEAAAA6JYgCAADQKUEUAACATgmiAAAAdOrAIFpK+cZSysdKKZ8upXyqlPJDs8dfWUr5SCnls7P/v2L5mwsAAMDYzTMi+pUkP1pr/eYkb0nyd0spfzHJpSQfrbW+IclHZ18DAADAvg4MorXWZ2utvzH7858k+XSStSTvSPL47GmPJzm/rI0EAACgHYeaI1pKeX2SM0k+nuTVtdZnk62wmuRVi944AAAA2jN3EC2l/Lkkv5zkh2utf3yI73tXKeVmKeXmc889d5RtBAAAoCFzBdFSyslshdCfr7U+MXv4i6WU18z+/jVJvrTb99Za31NrXa+1rj/44IOL2GYAAABGbJ6uuSXJe5N8utb6T+75qw8leXT250eTfHDxmwcAAEBrHpjjOWeT/BdJni6lfGL22D9MciXJ+0sp70zy+STfv5xNBAAAoCUHBtFa6/+TpOzx129b7OYAAADQukN1zQUAAIDjEkQBAADolCAKAABApwRRAAAAOiWIAgAA0ClBFAAAgE4JogAAAHRKEAUAAKBTgigAAACdEkQBAADolCAKAABApwRRAAAAOiWIAgAA0ClBFAAAgE4JogAAAHRKEAUAAKBTgigAAACdEkQBAADolCAKAABApx7oewMAgOm4dmsjV6/fzjN3NvPQ6kounjuV82fW+t4sADomiAIAnbh2ayOPPfF0Nu8+nyTZuLOZx554OkmEUYCJUZoLAHTi6vXbL4TQbZt3n8/V67d72iIA+iKIAgCdeObO5qEeB6BdgigA0ImHVlcO9TgA7RJEAYBOXDx3KisnT+x4bOXkiVw8d6qnLQKgL5oVAQCd2G5IpGsuAIIoANCZ82fWBE8AlOYCAADQLUEUAACATgmiAAAAdEoQBQAAoFOCKAAAAJ0SRAEAAOiUIAoAAECnBFEAAAA6JYgCAADQKUEUAACATgmiAAAAdEoQBQAAoFOCKAAAAJ0SRAEAAOiUIAoAAECnBFEAAAA6JYgCAADQqVJr7e6HlfJckt/v7AcyJN+Q5F/3vRFMnv2QIbAf0jf7IENgP2zXf1xrffCgJ3UaRJmuUsrNWut639vBtNkPGQL7IX2zDzIE9kOU5gIAANApQRQAAIBOCaJ05T19bwDEfsgw2A/pm32QIbAfTpw5ogAAAHTKiCgAAACdEkQ5tlLKN5ZSPlZK+XQp5VOllB+aPf7KUspHSimfnf3/FbPHSynlfy6l/E4p5TdLKd/S7yugJaWUE6WUW6WUX519/XAp5eOz/fB9pZSXzR7/D2Zf/87s71/f53bTjlLKainlA6WUz8yOi3/F8ZCulVJ+ZHZO/q1Syi+UUr7W8ZBlK6X8s1LKl0opv3XPY4c+/pVSHp09/7OllEf7eC0snyDKInwlyY/WWr85yVuS/N1Syl9McinJR2utb0jy0dnXSfLdSd4w++9dSf5p95tMw34oyafv+fonk/zUbD/8cpJ3zh5/Z5Iv11r/QpKfmj0PFuFnkvxarfWNSd6Urf3R8ZDOlFLWkvz9JOu11r+c5ESSH4zjIcv3vyX56/c9dqjjXynllUneneQ/SfJtSd69HV5piyDKsdVan621/sbsz3+SrYuutSTvSPL47GmPJzk/+/M7kvzvdcu/SLJaSnlNx5tNg0opr03y9iQ/O/u6JHkkyQdmT7l/P9zePz+Q5G2z58ORlVL+fJK/luS9SVJr/fe11jtxPKR7DyRZKaU8kOTlSZ6N4yFLVmv9v5L84X0PH/b4dy7JR2qtf1hr/XKSj+Sl4ZYGCKIs1Kyc50ySjyd5da312WQrrCZ51expa0n+4J5v+8LsMTiun07yD5J8dfb11ye5U2v9yuzre/e1F/bD2d//0ez5cBzflOS5JD83KxH/2VLK18XxkA7VWjeS/OMkn89WAP2jJE/F8ZB+HPb457g4EYIoC1NK+XNJfjnJD9da/3i/p+7ymPbNHEsp5XuSfKnW+tS9D+/y1DrH38FRPZDkW5L801rrmST/Li+Woe3GfsjCzcoY35Hk4SQPJfm6bJVB3s/xkD7ttd/ZHydCEGUhSiknsxVCf77W+sTs4S9ul5jN/v+l2eNfSPKN93z7a5M809W20qyzSb63lPJ7SX4xWyVoP52tUp8HZs+5d197YT+c/f1/lJeWE8FhfSHJF2qtH599/YFsBVPHQ7r0HUk+V2t9rtZ6N8kTSf5qHA/px2GPf46LEyGIcmyzeSTvTfLpWus/ueevPpRku9PZo0k+eM/j/+WsW9pbkvzRdskGHFWt9bFa62trra/PVlOOG7XWv53kY0m+b/a0+/fD7f3z+2bPd8eVY6m1/qskf1BKOTV76G1JfjuOh3Tr80neUkp5+ewcvb0fOh7Sh8Me/64n+a5Syitmo/vfNXuMxhTHGY6rlPKfJvm/kzydF+fm/cNszRN9f5LXZeuk+P211j+cnRT/l2xNPP/TJH+n1nqz8w2nWaWUb0/y39Vav6eU8k3ZGiF9ZZJbSf7zWuuflVK+Nsn/ka05zX+Y5Adrrb/b1zbTjlLKm7PVMOtlSX43yd/J1o1fx0M6U0r5R0l+IFud7W8l+a+zNc/O8ZClKaX8QpJvT/INSb6Yre6313LI418p5b/K1rVkkvwPtdaf6/J10A1BFAAAgE4pzQUAAKBTgigAAACdEkQBAADolCAKAABApwRRAAAAOiWIAgAA0ClBFAAAgE4JogAAAHTq/weYLXIWNC9IiwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.scatter(df['height'], df['weight']);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we've got a dataset, let's look at some options for scaling the data. As well as how the data might be scaled. There are two very common types of feature scaling that we should discuss:\n", "\n", "\n", "**I. MinMaxScaler**\n", "\n", "In some cases it is useful to think of your data in terms of the percent they are as compared to the maximum value. In these cases, you will want to use **MinMaxScaler**.\n", "\n", "**II. StandardScaler**\n", "\n", "Another very popular type of scaling is to scale data so that it has mean 0 and variance 1. In these cases, you will want to use **StandardScaler**. \n", "\n", "It is probably more appropriate with this data to use **StandardScaler**. However, to get practice with feature scaling methods in python, we will perform both.\n", "\n", "`2.` First let's fit the **StandardScaler** transformation to this dataset. I will do this one so you can see how to apply preprocessing in sklearn." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "df_ss = p.StandardScaler().fit_transform(df) # Fit and transform the data" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_ss = pd.DataFrame(df_ss) #create a dataframe\n", "df_ss.columns = ['height', 'weight'] #add column names again\n", "\n", "plt.scatter(df_ss['height'], df_ss['weight']); # create a plot" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`3.` Now it's your turn. Try fitting the **MinMaxScaler** transformation to this dataset. You should be able to use the previous example to assist." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "df_mm = p.MinMaxScaler().fit_transform(df) # fit and transform" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_mm = pd.DataFrame(df_mm) #create a dataframe\n", "df_mm.columns = ['height', 'weight'] #change the column names\n", "\n", "plt.scatter(df_mm['height'], df_mm['weight']); #plot the data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`4.` Now let's take a look at how kmeans divides the dataset into different groups for each of the different scalings of the data. Did you end up with different clusters when the data was scaled differently?" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def fit_kmeans(data, centers):\n", " '''\n", " INPUT:\n", " data = the dataset you would like to fit kmeans to (dataframe)\n", " centers = the number of centroids (int)\n", " OUTPUT:\n", " labels - the labels for each datapoint to which group it belongs (nparray)\n", " \n", " '''\n", " kmeans = KMeans(centers)\n", " labels = kmeans.fit_predict(data)\n", " return labels\n", "\n", "labels = fit_kmeans(df, 10) #fit kmeans to get the labels\n", " \n", "# Plot the original data with clusters\n", "plt.scatter(df['height'], df['weight'], c=labels, cmap='Set1');" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = fit_kmeans(df_mm, 10) #fit kmeans to get the labels\n", " \n", "#plot each of the scaled datasets\n", "plt.scatter(df_mm['height'], df_mm['weight'], c=labels, cmap='Set1');" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = fit_kmeans(df_ss, 10)\n", "\n", "plt.scatter(df_ss['height'], df_ss['weight'], c=labels, cmap='Set1');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Different from what was stated in the video - In this case, the scaling did end up changing the results. In the video, the kmeans algorithm was not refit to each differently scaled dataset. It was only using the one clustering fit on every dataset. In this notebook, you see that clustering was recomputed with each scaling, which changes the results!**" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 2 }