{ "cells": [ { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "from scipy import spatial\n", "from sklearn import decomposition, cluster\n", "sns.set(rc={'figure.figsize' : (10,10)})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "7. In the chapter, we mentioned the use of correlation-based distance and Euclidean distance as dissimilarity measures for hierarchical clustering. It turns out that these two measures are almost equivalent: if each observation has been centered to have mean zero and standard deviation one, and if we let `rij` denote the correlation between the `ith` and `jth` observations, then the quantity `1 − rij` is proportional to the squared Euclidean distance between the `ith` and `jth` observations. On the USArrests data, show that this proportionality holds." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>Murder</th>\n", " <th>Assault</th>\n", " <th>UrbanPop</th>\n", " <th>Rape</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>1.242564</td>\n", " <td>0.782839</td>\n", " <td>-0.520907</td>\n", " <td>-0.003416</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>0.507862</td>\n", " <td>1.106823</td>\n", " <td>-1.211764</td>\n", " <td>2.484203</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>0.071633</td>\n", " <td>1.478803</td>\n", " <td>0.998980</td>\n", " <td>1.042878</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>0.232349</td>\n", " <td>0.230868</td>\n", " <td>-1.073593</td>\n", " <td>-0.184917</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>0.278268</td>\n", " <td>1.262814</td>\n", " <td>1.758923</td>\n", " <td>2.067820</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " Murder Assault UrbanPop Rape\n", "0 1.242564 0.782839 -0.520907 -0.003416\n", "1 0.507862 1.106823 -1.211764 2.484203\n", "2 0.071633 1.478803 0.998980 1.042878\n", "3 0.232349 0.230868 -1.073593 -0.184917\n", "4 0.278268 1.262814 1.758923 2.067820" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "arrests_df = pd.read_csv('arrests.csv')\n", "arrests_states = arrests_df[arrests_df.columns[0]].rename('state')\n", "arrests_df = arrests_df.drop(arrests_df.columns[0], axis=1)\n", "arrests_df.describe()\n", "arrests_df = (arrests_df - arrests_df.mean()) / arrests_df.std()\n", "arrests_df.head()" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x720 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dist = spatial.distance.pdist(arrests_df, 'euclidean') ** 2\n", "corr = 1 - spatial.distance.pdist(arrests_df, 'correlation')\n", "dist_mtrx = spatial.distance.squareform(dist)\n", "corr_mtrx = spatial.distance.squareform(corr)\n", "\n", "for i in range(0, arrests_df.shape[0]):\n", " sns.scatterplot(x=dist_mtrx[i], y=dist_mtrx[i])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "8. In Section `10.2.3`, a formula for calculating PVE was given in Equation `10.8`. We also saw that the PVE can be obtained using the sdev output of the `prcomp()` function.\n", "\n", "On the USArrests data, calculate PVE in two ways:\n", "\n", "(a) Using the sdev output of the `prcomp()` function, as was done in\n", "Section `10.2.3`.\n", "\n", "(b) By applying Equation `10.8` directly. That is, use the `prcomp()` function to compute the principal component loadings. Then, use those loadings in Equation `10.8` to obtain the PVE.\n", "\n", "\n", "*..obviously as I'm using python instead of `R` I'll take a different tact*" ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'Principal Component')" ] }, "execution_count": 102, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x720 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pca = decomposition.PCA().fit(arrests_df)\n", "\n", "pve_1 = pca.explained_variance_ratio_\n", "\n", "_, (ax1, ax2) = plt.subplots(ncols=2, figsize=(15,10))\n", "ax = sns.barplot(x=list(range(1, len(pve_1) + 1)), y=pve_1, ax=ax1)\n", "ax.set_title('SKLearn `explained_variance_ratio`')\n", "ax.set_ylabel('PVE')\n", "ax.set_xlabel('Principal Component')\n", "\n", "total_var = ((arrests_df ** 2).sum() / arrests_df.shape[0]).sum()\n", "pc_var = ((arrests_df @ pca.components_.T) ** 2).sum() / arrests_df.shape[0]\n", "pve_2 = pc_var / total_var\n", "\n", "ax = sns.barplot(x=list(range(1, len(pve_1) + 1)), y=pve_2, ax=ax2)\n", "ax.set_title('PVE calculated by hand')\n", "ax.set_ylabel('PVE')\n", "ax.set_xlabel('Principal Component')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "9. Consider the USArrests data. We will now perform hierarchical clustering on the states.\n", "\n", "(a) Using hierarchical clustering with complete linkage and Euclidean distance, cluster the states.\n", "\n", "(b) Cut the dendrogram at a height that results in three distinct clusters. Which states belong to which clusters?\n", "\n", "(c) Hierarchically cluster the states using complete linkage and Eu- clidean distance, after scaling the variables to have standard de- viation one.\n", "\n", "\n", "(d) What effect does scaling the variables have on the hierarchical clustering obtained? In your opinion, should the variables be scaled before the inter-observation dissimilarities are computed? Provide a justification for your answer.\n", "\n", ".. TODO: find a better python dendogram library" ] }, { "cell_type": "code", "execution_count": 104, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<seaborn.matrix.ClusterGrid at 0x10d5e45c0>" ] }, "execution_count": 104, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x720 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.clustermap(arrests_df, metric='euclidean', method='complete')" ] }, { "cell_type": "code", "execution_count": 107, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<seaborn.matrix.ClusterGrid at 0x104fca748>" ] }, "execution_count": 107, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x720 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "arrests_df_not_std = pd.read_csv('arrests.csv')\n", "arrests_states_not_std = arrests_df[arrests_df.columns[0]].rename('state')\n", "arrests_df_not_std = arrests_df.drop(arrests_df.columns[0], axis=1)\n", "sns.clustermap(arrests_df_not_std, metric='euclidean', method='complete')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "10. In this problem, you will generate simulated data, and then perform PCA and K-means clustering on the data.\n", "\n", "(a) Generate a simulated data set with 20 observations in each of three classes (i.e. 60 observations total), and 50 variables." ] }, { "cell_type": "code", "execution_count": 281, "metadata": {}, "outputs": [], "source": [ "toy_df = pd.DataFrame(np.random.normal(0, 1, (60, 50)))\n", "true_classes = pd.Series(np.concatenate([np.repeat(0, 20),\n", " np.repeat(1, 20),\n", " np.repeat(2, 20)])).rename('class')\n", "toy_df = pd.DataFrame((true_classes.values.reshape(60,1) + toy_df.values))\n", "toy_df = (toy_df - toy_df.mean()) / toy_df.std()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(b) Perform PCA on the 60 observations and plot the first two prin- cipal component score vectors. Use a different color to indicate the observations in each of the three classes. If the three classes appear separated in this plot, then continue on to part (c). If not, then return to part (a) and modify the simulation so that there is greater separation between the three classes. Do not continue to part (c) until the three classes show at least some separation in the first two principal component score vectors." ] }, { "cell_type": "code", "execution_count": 282, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x720 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pca = decomposition.PCA().fit(toy_df)\n", "projection = pd.DataFrame(pca.transform(toy_df))\n", "scatter_df = pd.concat([projection[[0,1]], true_classes], axis=1)\n", "\n", "ax = sns.scatterplot(x=0, y=1, hue='class', data=scatter_df)\n", "_ = ax.set_ylabel('Second Principal Component')\n", "_ = ax.set_xlabel('First Principal Component')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(c) Perform K-means clustering of the observations with `K = 3`. How well do the clusters that you obtained in K-means clustering compare to the true class labels?" ] }, { "cell_type": "code", "execution_count": 283, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1,\n", " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2,\n", " 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], dtype=int32)" ] }, "execution_count": 283, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cluster.KMeans(n_clusters=3).fit_predict(toy_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(d) Perform K-means clustering with `K = 2`. Describe your results." ] }, { "cell_type": "code", "execution_count": 284, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0,\n", " 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], dtype=int32)" ] }, "execution_count": 284, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cluster.KMeans(n_clusters=2).fit_predict(toy_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(e) Now perform K-means clustering with `K = 4`, and describe your\n", "results." ] }, { "cell_type": "code", "execution_count": 285, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2,\n", " 2, 3, 2, 3, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 2, 3, 2, 3, 1, 1, 1, 1,\n", " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], dtype=int32)" ] }, "execution_count": 285, "metadata": {}, "output_type": "execute_result" } ], "source": [ "cluster.KMeans(n_clusters=4).fit_predict(toy_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(f) Now perform K-means clustering with `K = 3` on the first two principal component score vectors, rather than on the raw data. That is, perform K-means clustering on the `60 × 2` matrix of which the first column is the first principal component score vector, and the second column is the second principal component score vector. Comment on the results." ] }, { "cell_type": "code", "execution_count": 286, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5,0,'First Principal Component')" ] }, "execution_count": 286, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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kDN0DAAByh+TxX35gZEeKNGSzzRQE+a4GAAAUIqYy/wehDAAA5AvBDAAAICQIZt3Eto08N6m1q6uUbKiV76XzXRIAAAg51ph1A2OM6ms36OQjf6iqVaslSYd/+2Cdcc7JsuxonqsDAABhxYhZNwgCVzfO/ENTKJOkB+55RDXramQ45QkAALSCYNYN3HRGSxYvbdH++bIVHI4OAABaRTDrBkXFcU05aGKztkg0om3GjJTn8dgnAADYNNaYdQPXDTT9iKmqranTww88ocEVg3TRL85RNFYkYhkAAGgNwaybGCuiE07/to458TAZYykWj8t1/XyXBQAAQoxg1o1838iJNp6/SSgDAADZsMYMAAAgJAhmAAAAIUEwAwAACAmCGQAAQEgQzAAAAEKCYAYAABASBDMAAICQIJgBAACEBMEMAAAgJAhmAAAAIUEwAwAACAmCGQAAQEgQzAAAAEKCYAYAABASBDMAAICQIJgBAACEBMEMAAAgJAhmAAAAIUEwAwAACAmCGQAAQEgQzAAAAEKCYAYAABASBDMAAICQcPJdAAAAyC3LMorHbDm2kesFSqQ8+X6Q77IgghkAAAXFto1Kix01fP6pkg11cor7qO+wLVSb8OV5fr7LK3hMZQIAUECKi2w1LF0kr75WCgK59bVq+GyxiouIBGHARwEAgAJiGyMvmWjW5iUTso3JU0X4MoIZAAAFxJdknOYrmYztiBVm4UAwAwCggCRTvoqHbyWZ/0YAY6l4+JZKpFhfFgYs/gcAoICkM54UcVQ6ajvJ9yXLViLpNbYj7whmAAAUmHTGVzqzcYSMQBYmTGUCAACEBMEMAAAgJAhmAAAAIUEwAwAACAmCGQAAQEgQzAAAAEKCYAYAABASBDMAAICQyMsGs7/5zW80Z84cSdKECRN0wQUX5KMMAACAUMn5iNkrr7yif/7zn3rooYf097//Xe+++66eeuqpXJcBAAAQOjkfMSsvL9eFF16oaDQqSdp66621fPnyXJcBAAAQOjkPZqNGjWr685IlS/T444/r3nvvzXUZAAAAoWOCIAjy8cYfffSRTj/9dP3whz/Ut771rXyUAAAAECp5Wfz/+uuv6+yzz9bPfvYzTZs2rV3XrllTJ9/PS5Zsoby8VNXVtfkuo8egv9qH/mqfL/eXYxtFFKhhzQZFi4tkFUWV8vNcYIjwudU+9Ff70F+NLMuorKxPu6/LeTBbsWKFzjrrLM2aNUt77rlnrt8eQC9nWUZWJqOnZ/5V6fqkJGn410Zrx8P2VpJwBiDkch7MZs+erVQqpWuuuaap7ZhjjtGxxx6b61IA9EKOCfTO319uCmWStOz1D7XtlF1liuPKz+INAGibnAezGTNmaMaMGbl+WwCFwg9Uv7qmRXPDujoV9ymW55HMAIQXO/8D6FUC29aWe2zXrM2OOOo/fBChDEDo5WXxPwB0l4zra9i4UfJcT5+8/I7i/Uo09ohvKmMsSQQzAOFGMAPQ6yTcQEN3G6NhXxslGSPP2HI9Vv4DCD+CGYBeKeP6kqz/DpIRygD0DKwxAwAACAmCGQAAQEgQzAAAAEKCYAYAABASBDMAAICQIJgBAACEBMEMAAAgJLIGs1//+tct2n75y192SzEAAACFrNUNZm+88UZt2LBBjz/+uOrq6praM5mMnn32WQ4iBwAA6GKtBrOxY8fqP//5jyzLUv/+/ZvabdvWTTfdlJPiAAAACkmrwWzChAmaMGGCvvnNb2qnnXbKZU0AAAAFKetZmcXFxbrooou0fv16BUHQ1H7LLbd0a2EAAKBrRSK2jJHSaS/fpaAVWYPZBRdcoHHjxunrX/+6jDG5qAkAAHQhxzbqUxxRpna95Hsq7jdQDUlP6Yyf79LwP7IGs0wmw0J/AHljjBS1JOP7MsbIM5bSXpD9QgBN+hRHVLfofQWeK0lKVq1U6agxyri+Ar6cQiVrMKusrFRVVZUGDx6ci3oAoJki2+jtv72gZW98JMuyNGq/XTRin52VZCYGaJNIxJZbu74plEmSAl+p1VWK9h2sVMpt/WLkXNZg5vu+DjroIG2//faKxWJN7awxA9DdIhFLK95apGWvfyRJ8j1fC+e+rqE7jpA9sJ98n1/1gbYINjUsFvgy4msobLIGs8mTJ2vy5Mm5qAUAmjGBVPX+py3aqz9aps2+MUC+z7AZkE0m46mkb38lq5ZL/sY1ZUaxsgptSLDGLGyyBrNvfetbWrlypRYuXKi99tpLVVVVGjp0aC5qA1DgfEkV222pz99c1Kx98OjN5Xn8QAHaqj7pqXTkdkqvrVLg+4oNHKxEJmDUOYSyHsn0wgsv6JhjjtEvfvELrVmzRlOnTtXTTz+di9oAFDjX9TVkx61UuccYGWNkR2yNmba7YgNL+YECtEMm46umLiOvT7mCvhWqafCVSvPLTRhlHTG76aabdN999+l73/ueBg8erHvuuUc//elPNWnSpFzUB6DAJdxA204fr+0P3lOS5BlLKZ7KBNotCMRC/x6gTYv/v/xE5pgxY9jPDEBONW6PsfH7DqEMQO+VdSozHo9r+fLlTWFs/vz5zZ7OBAAAQNfIOmJ2/vnn65RTTlF1dbWOPvpoLVmyhEPMAQAAukHWYLbLLrvovvvu04IFC+T7vsaOHauBAwfmojYAAICCkjWYSdIHH3ygdDqtIAg0f/58SdL+++/frYUBAAAUmjYdYj5v3jxVVlY2tRljCGYAAABdLGswmz9/vubMmaOSkpJc1AMAAFCwsj6VOWzYMEIZAABADmQdMRs3bpzOO+88TZw4UUVFRU3tTGUCAAB0razBbMGCBZKk+++/v6mNNWYAAABdL2swu/POOyVJrusqCAJFIpFuLwoAAKAQZV1jtmbNGp122mnaeeedtdNOO+mEE07QqlWrclEbgB7CcSxFbaOoY4kT2wCg47IGs8svv1w777yzXnnlFb3yyivaddddddlll+WgNAA9QZEt1S5errfuekqLnnxNRQpk21m/tQAANiHrVOaSJUt0ww03NL0+++yzNW3atG4tCkDPEIlYWvX2Ir1xz7ONDe99qs/f/FgTLzhGifyWBgA9UtZfa13XVSqVanqdSCSaDjQHUNhMxtXHz73ZrC2xvl6JdbV8nwCADsg6YjZ16lSddNJJOuywwyRJDz74oKZMmdLthQHoAYxRpCjWotmJRuQpyENBANCzZQ1mZ511loYMGaKXXnpJvu/rsMMO0xFHHJGL2gCEnG/b2vGwvfTCrAcU+L4kafA2w+WUFMn18lwcAPRAbTrEfN9991Vpaals29Zuu+3GFAUASZLr+oqW9dOUy07QqveXqk95P5UOGaikn+/KAOALjmMpHrVk25Yyrq9EypPvh3NUP+sas6eeekr777+/7rjjDv3xj3/U5MmTNW/evFzUBqAHyHiBUsbWoJ1GKjakTAlPCsL5/Q5AAYo4lkqiUurzxar98D9yqz5T3xJHlhXOQaasI2azZs3SXXfdpW222UaS9O6772rGjBl66KGHur04AD2Hy9wlgBAqLrJVv/gDBZ4rSXLrNiixfKnigzdXfcLNc3UtZR0xKyoqagplkrT99tszlQkAAHoEI78plG3k1m2Q44Qzy2QNZrvvvrtuvfVWNTQ0KJVK6a9//atGjRqlmpoarV+/Phc1AgAAdIyx9L9HkthFcXleONdcZJ3KvOOOO+R5nq6//vpm7Q8//LCMMXr//fe7rTgAAHoyY4xi0cZgkE6Hd8F5b5ZI+SrebEs1fL5ECgIZx1HxZluqNhXOp5SyBrN33303F3UAANCrRCOWimOWUqtXKQh8lQ4aomRGSqVZj5lLqbQnReMqHbW9FAQKZFSf9OR5PTSYJZNJPfPMMy2mLY877rhuKwoAgJ6uuMhW7UfvSUFjAMisX6vSkdspnTEKeHQ5p1Jpr8cE4qzB7PTTT1dtba2GDx/e1GaMIZgBANCKaNRWpmZtUyjbKLW2SrG+FUqmwvc0IMIhazCrqqrSnDlzclFLr2OZQJl0UolEUvF4kZxonP2dAKAABIEky27RbixLLDPDV8n6VObo0aNVXV2di1p6Fdsy+mTRJzp8ysk6ZN/v6PApJ2vJosWyQ7qhHQCg62QyniKl/WWcL8Y/jGUrOnCw0hlGy9C6rCNmBxxwgA488ECNHj1azpc+we64445uLaynS6Ua9JOzLlPthjpJUu2GOl3wg8t0z8O/lx2J57k6AEB3q2vIqM+IMXLrahQEgSKl/VWfcJk5wVfKGsyuvfZanX766dpiiy1yUU+v4bme1lSvbda2umqtXNeTHclTUQCAnHG9QOtr04pE+kiS6mvTea4IPUHWYFZSUqLvfve7uailV3EiEW01slKffPxpU9uIUZXNRh0BAL1fJtMzngZEOGRdYzZx4kTdfffdqqqq0vr165v+w1eLxuK64Q9XavudtpUk7TB2W/361isVLSrOc2UAACCsTJBlM5WddtpJ6XTz4dd87vi/Zk1daHZOLi8vVXV1bat/b9uW0qmEpECSUTRWFNojIHIhW3+hOfqrfeivtqOv2of+ah/6q5FlGZWV9Wn3dVnn1d5+++0OFQTJ83zZTuxLrws3lAEAgOyyBjPf9zV79my9+OKLcl1X48eP1xlnnMFaKQAAgC6WdY3Zddddp3nz5unEE0/UySefrAULFuhXv/pVLmoDAAAoKFmHvV566SU98MADikQa93jYZ599NH369G4vDAAAoNBkHTELgqAplElSNBpt9hoAAABdI2sw23bbbXXVVVdp6dKlWrp0qa6++mqNHj06F7UBAAAUlKzB7NJLL9WGDRt0zDHH6KijjtLatWt1ySWX5KI2AACAgpJ1jVmfPn10zTXXSJJSqZRisViWKwAAANARrY6YpdNp/fSnP9XTTz/d1Hb22Wfroosukuu6nX7juro6HXTQQVq2bFmn7wUAANAbtBrMbrzxRtXV1WmXXXZparv88stVU1Ojm266qVNv+tZbb+nYY4/VkiVLOnUfAACA3qTVYPb888/ruuuuU1lZWVNbRUWFZs6c2WwUrSPuu+8+XXrppRo8eHCn7gMAANCbtLrGLBKJqKioqEV7nz59FI1GO/WmV155ZYev7ci5U92pvLw03yX0KPRX+9Bf7UN/tR191T70V/vQXx3XajCzLEt1dXXq06d5EKqrq+uSNWYd1ZMOMUdz9Ff70F/tQ3+1HX3VPvRX+9BfjTp6iHmrU5kHHXSQZsyYoYaGhqa2hoYGzZgxQ/vvv3/HqgQAAECrWg1mJ554okpLSzV+/HgdddRROuKIIzR+/Hj17dtXZ511Vi5rBAAAKAhfOZV5xRVX6PTTT9d7770ny7K04447qqKiIpf1AQAAFIysG8wOHz5cw4cP75Y3f/bZZ7vlvgAAAD1R1iOZAAAAkBsEMwAAeiDbtmRZJt9loItlncoEAADhEXEslcQdeYl6GduSicZV25AJzVZS6JxWg9nBBx/8lRc+8sgjXV4MAABonTFSSdxW3aL3FHieJMkuiqt0i5GqqU3nuTp0hVaD2SWXXJLLOgAAQBaxqKNU9cqmUCZJXjIhP1kv247J8/w8Voeu0Gow22233Zr+vH79eiUSCQVBIM/ztHTp0pwUBwAAvmBMoMBrefpOkHFlRYr0pbyGHirrGrMbbrhBt956qyTJtm1lMhmNHDmSqUwAAHIsnQlUMrBcmQ3rv2g0Rk5pX9XVZvJXGLpM1qcyH374YT333HOaMmWK5s6dq2uuuUYjR47MRW0AAOBLPM+Xa0VVUjlSTp9SRfr2V+nWY9SQYqist8gazAYOHKjBgwdrxIgR+uCDD3TIIYfo008/zUVtAHohY6SYJRUZX3ErUNTuOY/7O46lSMSW6TkloxdqSLhq8COyy7eQKRumDQlf6TRry3qLrFOZjuNo6dKlGjFihObPn6+99tpLGzZsyEVt2JTAk5tJyQ8COU5EthNTEPCINHqOuG30+t3PaOU7n8iO2BozdXcN322MUiH+uWJZRjEr0NpFn6uuukab7by1gmhEmRDXjN7NdX25Lp+AvVHWEbPTTz9dl1xyifbZZx/NnTtX++yzj/bYY49c1Ib/4Xtp/fWOBzRtwrd14PijddlPfyXfS+W7LKDNIhFbS155Vyvf+UR77CUpAAAgAElEQVSS5GU8vfPwK3LrEzIhHoaKmkD/uuVRzfvj43rn4Zc19/I7laxeJ8dhj24AXSvriNnEiRM1ceJESY3rzT799FNts8023V4YmrMso6rlq3XrTXc0tb38/Kv6x9/m6PBvHyrXZdQM4Wc8T1ULP2vRvnbJKpXtOCKUn8fGSOkNDVr36aqmtiAI9O7D/9LXTz1QrsIbKAH0PFl/3auvr9fMmTM1ffp0ffvb39ZTTz2lTIYnP3LNti29/eZ7Ldpfe2WBMmk+HugZAstSxbZbtGgv22qIPC98oayRke+2XFjtZVpuWQAAnZU1mM2YMUOrVq3SRRddpJ/85CdatGiRfvnLX+aiNnyJ6/raZdcdW7TvPXEPRaKRPFQEtF/G9VW553babOetJSPZUUc7Hb63rOKi0K6VDIJA8YGlKi7r26x99OSvybPtPFUFoLfKOpX53nvv6cknn2x6vccee2jatGndWhRaCoJAA8oG6PwZZ+nm629TKpnSAQfvqwMO3jeU0z8oDFHbyA58BZI8y1amDYuRE16gHY/aR2OPnCBJ8oyldGhHyxqlZWmfHx+pT176j2qr1mmr8TuopGKgUiy+BtDFsgazQYMGae3atRo4cKAkqaGhQQMGDOj2wtCSZUc17VsHaPK0faRAsiOOjBVRSAca0ENF/hu25AcKLKOMrE0ejlzsGL37yL/06bz3FS2OaewR39SAUcOV7an9IJAat1zauDYr/J/AnucrIWnzCTvLBIG8QEpx9A2AbtCmYHb44YfrgAMOkG3beuaZZzRo0KCm6cwZM2Z0e5H4gh8YOZF402tCGbpS1JKq3l6ktx98SV7a1aCRw7TbKQcqaZp/rkUcS0tfe19LXnlXkpSqS+i1Pz2pKZeeIBPpvb8sZDJs4gmge2UNZqNGjdKoUaOaXjONCfRexnW14N7nml6v/ni5Fj75b408YDelvzRlbjxfK/6zuMX1az5ZoQFjtmR/JQDooKzB7Ac/+EEu6gCQZ7ZtVPP5mhbtqz9erpGep2bPCtmWBm41VKs/Xt7s3/YfXh7ipysBIPxaDWbHHnus/vKXv2iXXXZptvFjEAQyxuiNN97ISYHIH8sysixL7ia2CkDv43mB+g0ta9E+eJvhku1IXxoFS7u+Rk3cWas/Wqa1S1bJWEajJ42TUxJXahPr0QAAbdNqMLvhhhskSY8++mjOikE4GCN5bkpLPl6mTxYt1e7jxyle0kfGsDVAbxc4jnY9YbLeuv9FZRIpVWy3hUZP/poaNjE1mQyMdvvuNMnzZdmWPGPEOcoA0DmtBrPBgwdLkmpra3X99dfr1ltv1cKFC3XBBRdo1qxZOSsQuee5aV158fV6/umXJUmWZem3f56pMTtuz+hZL5f2pYHbbqlJMzaXAikwRgnPaFNPTvp+oJSMZGyJJWUA0CWybjB72WWX6cgjj5QkbbPNNvrhD3+oSy+9tNsLQ/401Dc0hTJJ8n1f1135WyUT9XmsCrmS8XwlfaNkYJTyFdqNXwGgN8oazBKJhCZPntz0etKkSaqrq+vWopBf6VTLg9HrauvZm6OLGSNFI7ZiUVuWxXmLAIA2BDNjjBYuXNj0etGiRbKsrJehB+s/oL+GbzGsWdsxJ35LsXhxnirqfRzbKCZfnzw1X+8/9JJMXb0ifFkBQMHLul3GOeeco+OPP16jR4+WJC1evFj/93//1+2FIX8isbhm//UG3TX7fn28cLEOPnyKdvvGrmyD0IUiCvT0Vfco3dA4Ovnpq+9r3wuOkd2vT+j72RijqAlkfF/GMnKNpUzIawaAniJrMJs4caKeeOIJvfHGG7JtW2PHjlVZWctH6tF7eJ6vSDSuU886Qa7rKhqNseN5F3IcS9UffNoUyiRJgbTwyX9rh6MmKuw9Hbel125/UtUfLpPl2BozdXdtvvsYpXgAAAA6rU2TJ4sWLZIkua6r119/XXPnzu3WopB/QSB5nmSMQyjrBnak5e9EdsT54vjIkIo4lj5+/k1Vf7hMkuS7nt79xyvyEkmZkNcOAD1B1hGzCy64QPPmzVNlZWVTmzFG+++/f7cWBvRWruurbMRQFQ8sVcPaWkmS5dja9oCvK+wnGRnf0+qPP2/Rvu6zag3YtpKjmACgk7IGs/nz52vOnDkqKSnJRT1AQUjJ0sTzj9LKdz9VuiGh4buMkms78sO+a75lq2JMpdYsWtGseWBlhVyPUAYAnZU1mA0bNoxQBnQxz/PVIKlsxxGSpGTGk8IeytR4FNNW43fQhuWrtWzBx4rEotrxsL1kYlEF5DIA6LSswWzcuHE677zzNHHiRBUVFTW1M5UJdF5PXL+X8AJtf/gE7XT4NxVI8ixLaTf8oRIAeoKswWzBggWSpPvvv7+pjTVmQOEKAikdSE1PKvSAkT4A6CmyBrM777wzF3UAAAAUvFaD2ZVXXqmLL75YZ5xxxib//pZbbum2ogAAAApRq8Fszz33lCRNmTIlZ8UAAAAUslaD2b777itJ+vvf/64///nPOSsIAACgUGXd+b+2tlYNDQ25qAUAAKCgZV38H4/HNXHiRG2zzTYqLi5uameNGQAAQNfKGsyOOOKIXNQBAABQ8L4ymH344YcqKSnR2LFjVVFRkauaAAAAClKra8weeOABHX/88frDH/6g6dOn65///Gcu6wIAACg4rY6Y3XnnnXrkkUdUUVGhBQsWaNasWdprr71yWRsAAEBB+cqnMjdOX+6yyy5at25dTgoCAAAoVK2OmBljmr22bbvbiwEAAF2juMhWNGJJQSAvkOoTnnzOtg29rE9lbvS/QQ0AAIRTn2JHfs1q1a5eJUmy48Xqu/nWWl+bznNlyKbVYLZw4UKNGzeu6XUymdS4ceMUBIGMMXrjjTdyUiAAAGg7Y4xs+Ur8N5RJkpdoUGrNKhWVDlIy5eWxOmTTajB76qmncllHr+bYlpKJBlmWUbQoLtf1810SAKCXsm0jL5lo0e4nGuT0Y/Yr7FoNZptttlku6+i1Aj+jJx9/Qff8+UH17VeqH1/8fQ2v3EJtOA0LAIB2c11fTp+SFu1OaV9lPNaYhR3poBtFIrZen7dAV/3811qyaKnefuNdnXr0OUom6vNdGgCgF0tlAhVvvpWM40jGKDpgkJx+ZUqnmcYMO4JZN0qnknrovsebtbmup9deWSDHoesBAN0jkfKUMnEVb7Wt+ozaXuo/WDUs/O8RSAfdyHEcVW7Zckp48y2G8cgyAKBbpTOeNtRlVFObUSLJSFlP0eoas+985ztfuUXGHXfc0S0F9SZ+YHTy97+t5556WVWrVkuS9vzmrqocsTnBDAAAtNBqMDv++OMlNT6dWVdXp8MPP1y2bevhhx9W3759c1ZgTxYEUrykVHc9fItWLq9ScUlc/fr3k+1EFbSSy2zbkptJKQikaCzGE5wAABSQVoPZlClTJEmzZ8/WvffeK8tqnPXcZ599dPTRR+emul7AdX3ZTpGGV1ZKChQEajWUBYGnpZ98qt9ef7s8z9P3fniCthq1lYxp8z7AAACgB8v6E3/dunVKpVKKx+OSpPr6etXU1HR7Yb1N0Foa+y9jjDasr9FJR/xQvt84Svbvfy3QvY/+QRXDWJMGAD1VvMhWLGIpkJRO+0qwwSu+QtZgdtBBB+moo47S5MmTFQSBnnjiCR111FG5qK2gRCK2Hn1oblMo2+i+ux/WeRedxSPOANAD9e0TUWbtKtWubVxnHBtUoT79ylRX7+a5MoRV1mB2zjnnaPvtt9e8efMkSRdeeKEmTJjQ7YUVmiAINHRYRYv2YcMqJLFTMwD0NI5jKUjWK72muqktVb1SJSV9ZduWPDZ7xSa0afHSmDFjNGzYsKbpuHfffVfbb799txZWaDIZTxMmfUN3/OFeLV3yuSSpYmi5ph95oNJpfrMCgJ7GsS2561su/XHramSXDJLn8b0dLWUNZtdee63uuusulZWVNbUZY/TMM890a2GFyIkUafZfb9QnH38qz/M0cvRWisSK5Xk8mQkAPY3nB4qVlErr1zZrd0pKleL7OlqRNZjNmTNHc+fOVUVFy2k2dC3fD2TZMY0as03Ta0IZAPRMmYyn4tK+ivTtr8yG9ZKk6IAyKVIkL53Jc3UIq6zBbOjQoYSybmLMprfO4AlMAOgdNtSlVTxoMxUNGS5JSruBNtQTytC6rMFszz331MyZM7XffvupqKioqZ01Zh0X+K5cN6011WtVPrhMTiSmgNOxAKDXCQKpPsFaMrRd1mD24IMPSpKeeOKJpjbWmHWGr1denKdf/PRaeZ6naCyq39x2jUZvtw1P6AAA0IWMMYpEbAVBoEymZ2w7lTWYPfvss13+po888oh+97vfKZPJ6KSTTtJxxx3X5e8RVm46patmzJLnNX6CpFNpXXL+1brzwd/JjhRluRoANi0SsWWMUSbjtnq6CFBIimK2ihwpvX61rEhUJaX9VduQCf0gSNZg1tDQoJkzZ+rFF1+U67oaP368Lr74YvXp06dDb7hq1SrNmjVLDz74oKLRqI455hjtvvvuGjlyZIfu19NkMhklk6lmbatWVCtQuD9RAISTbVuKydfyNz9SYn2dKncfoyAaUYbnhlDAbNtSzPJU+/HCpjZrTZX6bDlaNbXpPFaWXdaFTVdffbXS6bRuvvlm/fa3v5UxRldccUWH3/CVV17RHnvsof79+6u4uFhTpkxpNk3a20VjUW05YvNmbXvuvassi/MwAbRfVL6ev+5+Lbj3OX3wxL8194o75dXWy7bZmBqFKxaxlKxa3qzNT6cUpJOyrHB/bWQNZm+99ZauuuoqjRkzRjvssIN++ctf6u233+7wG1ZVVam8vLzp9eDBg7Vq1aoO36+nicaKdfOfZmrviXto4KABmnrIJP3i2gvlRKL5Lg1AD2PbRjXLqlW/ZkNTW+AHeu+xebLzWBeQb8YE2uREVA+Y5886TON5nnzfl2U1Zjjf92XbHf+S39Rh3sa0Pb2WlXVsCrW7lJeXtvuagQNLdM2NlyiZTKmkJK7ikuJuqCycOtJfhYz+ap9C7K/ly6patAVeoHg8on7xWKvXFWJfdQb91T5h6K+Mhql28ZemMiNRRYpLVBaJ5LGq7Nq0Xca5556rY489VpL0l7/8RbvttluH37CiokLz589vel1VVaXBgwe3+fo1a+pCs89XeXmpqqtrO34DE1V9g6f6hk7cowfpdH8VGPqrfQq1v/oOL1dRvxIla+obG4y07YG7qS7hyqvb9FqaQu2rjqK/2ics/RWP2eqz9Ril11U3hrJ+ZVpfm5bnJXPy/pZlOjSYlDWYXXjhhfrd736n66+/Xr7va++999b3v//9DhUpSd/4xjd00003ae3atYrH45o7d26n1qwBQCFLy2jfC47Wp/96T4n1dRrxzZ1klcSV4dSQHssYo3jMlm1LniclUt4mZ5vw1RIpTynLKNK3Ql4QqD7ki/43atOK88rKSt1///2qrq7WY489pkgnhgErKip03nnn6YQTTlAmk9ERRxyhnXbaqcP3yyXbMkqnGuR5vmzHkZT/oVoAhc3zAiVkNHzvsTKSMq6nTEhmFdB+lmXUt8RRctXnSjfUySnuo34Vw7WhPhOa2aKexPcDpVI9a4PfrMHssssuU0NDg6ZPny7LsvT6669r2bJlmjFjRoff9OCDD9bBBx/c4evzwRhfHy9crAvPuVyrq9ZqzA6jNOv3v1Qs3ocvFgB5l073rB8+2LTiIlsNn30iL9E4NZ2pWacgk1Hx0ErVNfAxLgRZn8p88803df3110uSysrKdMMNN+jVV1/t9sLCxk2ndfZpF2l11VpJ0vvvfKSf/+QauZlUlisBAGgbxzJNoWwjt6FODtufFIysI2aZTEbpdFrRaON2Dq5bmIm9ob5BDfWJZm0L5r+jwPfV3c+lbzxOwnVZMwIAvVkgyVi2Av+L44OMbXdql4dY1FYsaslISmV8JVM942iiQpU1mO2zzz469dRTdcghh8gYo0cffVQTJkzIRW2hUlwSVzxepETii6c5dhw7RsbqvsPHLUtKJRv03JPzFIvFtPteX1M0ViyPRb0A0Csl077iw7ZQw7JPmtriwyqVSHcsTJXEHZnEBjUsW64gCBQrG6zSfoNUW5/pqpLRxbIGswsuuEB33323nnnmGTmOo8mTJ+uYY47JRW2h4kRiuu53l+tn512p9etqNGJUpa647iI5kVi3rDEzRmqoq9VRU09VfV2DJGlwxSDd/fAtshzO1ASA3iiV9mRicZWO3kF+Ji0rElUy7SvdgVEuyzJy5KluxWdf3L96pYqLiuU4MWZhQiprMLNtW0cddZR23313jRo1Sul0ummz2UISyNKYnbbTXx//o1zXVSQS1ZChg7ptrxbHsXTP7X9rCmWSVLVqtV56fp4mHbifMhmGogGgN0qmPCVTnowxCpIdH9lyHEuZunUt2t0N6+QMGEYwC6k2Lf6fNGmSTj/9dFVVVWnChAl64403clFb6Pi+5ETiKoqXynZa31G7KwRBoNra+hbtdZtoAwD0Pp3duszzAjnxkhbtVryE3QRCLGswmzlzpv70pz+pf//+GjJkiGbOnKkrr7wyF7UVNN+XvnPqkc1GJ4uKYpp04ARGywAAWXmeL0WLFOk3oKnNLumjSN8BSvNzJLSyBrNkMqmRI0c2vZ4wYYI8jw9od/P9QAMGlekvj9yqqYdM0mHHTNN9c2aruDhcZ4UCAMJrQ11GdtkwlY7eQaWjd1B0SKVq6lj4H2ZZg5njOKqpqWk6aHzx4sXdXhQaWZaj8sFl2mfyeA0sG6Df3/hn1dVukM1+NgCANqpPuFpfm9H62ozqGlyOdwq5rIv/v//97+v444/X6tWr9aMf/Ugvv/yyLr/88lzUVvAC39Osq36nRx+a29T2xmtv688P3CybJzMBAOh1sgaziRMnasSIEXr55Zfl+77OPPPMZlOb6D6el9Hcx59v1rbi81VKNCTVp++mg5njWDLGsA4NAIAe6CunMht3m3dVWVmp6dOna/DgwXKcNp17jq4QSMM2q2jWZNu2YkXRFv/Usox8L6XXXnlN//jbo0rUb5DEo9AAAPQkrQazjz/+WPvtt59eeuklJZNJHXnkkfr1r3+tU045RS+//HIuayxYsXixLr3mJ4rGvghiZ/7oFDmRlsHMzSR15ok/0U/OvEz/d8XNOnTSCapasVK2XXh7zgEA0FO1Ovw1c+ZMnXvuuZo4caIeeOABBUGgxx57TKtWrdJ5552n8ePH57LOguS6vipHbKlHn79bny1drooh5SqKx2VM8w+bZRl9uvhzffTBFw9muBlXN137B13+fz+TsSK5Lh0AAHRAq8FsxYoVmj59uiTp1Vdf1aRJk2RZloYOHaq6urqcFVjoAlmyI3FtNXLkVz5Jk2hIbrIt8AMZBs0AAO1g20bGGE4HyINWf2R/eWPTBQsW6Otf/3rT61Qq1b1VoYWvCmW+H2j0tiM0cNCAZu0nf//bihbx9CYAoG0sy6hfn6hKbFdFfoP6l0YUjfDbfS61OmLWr18/ffDBB6qrq1N1dXVTMHvjjTdUUVHR2mXIk0gsrnsevkV33/6AVi5fpWNO+JYqR1Ty2w4AoM1Kix0lPvtYXjLR2GAslY7cVq5nOMYpR1oNZj/60Y900kknqa6uTueff76Ki4s1e/Zs3XLLLbr55ptzWSPawPMCRYtKdNoPTpTv+zLGbjyOAwCANrAsoyCd+iKUSVLgK1m1QrGBQ5VIsg1TLrQazHbeeWe9+OKLSiaT6tu3ryRpl1120f33368tt9wyV/WhHYJAct1AkhFbZQAA2sMYo8B3W7QHnitLnDiTK1+5KVk0GlU0+sXWDOPGjev2ggAAQO55ni+7tI+MZSvwvxgdi5VVqIFlMTnDbrEAAEBS47mafbbeVsnqFZLrKlo2WJ4dk5tuOZKG7kEwAwAAkqSM66umPlBR/yEyxqjB9QllOUYwAwAATYIgUCLFQv98YXMSAACAkCCYAQAAhATBDAAAICQIZgAAACFBMAMAAAgJghkAAEBIEMwAAABCgmAGAAAQEgQzAACAkCCYAQAAhATBDAAAICQIZgAAACHBIeYAQsFxLNmeJ8tInrGU9oK81mPblhzfk2UZ+YGUkZHvB4pGHRkjpdOugvyWCKAXIpgByLuIZZRcuUZv/OVZJdbVaYvdt9V20/ZQg5uf5GPbRnYqpdf+/KTWfVqlQaM2067fmSzLtrT4+QXyMhlttdeO8iNRuT7pDEDXIZihR4pEbAVBINf1810KuoAT+Hrppr8r8Bs/np/88x3FSotV+c2xSufhYxwJfL14899Vv3qDJKn6w2V6dfYcbT1hR70/5zVJ0sfPv63JFx8nE4kq+J+hs4hjyQS+AmMr43o5rx9Az8UaM/QoxvhKJmr1yAOP6ZUXXpHvpWRZJt9loRMsy6hmxZqmULbR8rcWSa6bl5oCz28KZRutXbJSJWX9ml77rqcPn3lDUeeLb6PGSMWO0YrX3tNbdz2tqgUfqtgxMnyKAmgjRszQY1iW0drVa3Xswd9TOpWWJG2x5Waa/dcbZdmxPFeHjvL9QCVlfVu099tskGTbUh7WmhnbUqQ4pkxDqqmtuKyv0nWJ5v/ufxJX1Eiv3/W0Vr67RJK08r1PtfbTlRpzyF55XzMHoGdgxKwDjPHluUkt+vATeZmEFDBVkQuB7+n3N/ypKZRJ0tIln+v9dz6UbfOp3JNZsai2PWDXpqBTMqifdpj+DWXyNFPtGku7n3yA7Gjj766ReEx7nHKAFr/ybtO/sRxbo/bbpdlUqwn8plC20Wf/Xig7YModQNswYtZOtm20+KMlOuuknyrRkJATcXTVrIu1655fUxAQDrpTEARqaEi0aE80JJkq6uFSvlS591iN2HsneRlXViSijLEUePkJNK4XKD6sXFMuPUFe2pUdi8i3LI07dl8tfe0DuamMtvzG9vJsR8GXFv8bY2Qsq9m0rB1xxFgZgLYiSbRTKtmgi8+7Uon/BgQ34+qyn85UJp3KciU6y3YiOuWMbzdr69uvVLvsuiMPAfQCaV9K+EZpO6KkL3l5CmUbuX7QWI8TUcKTUhlfCd9os2/soK32GyfXcVo8kekZS6Mnj2vWtt1Be8iz+FYLoG0YMWuvQFrx+apmTQ31CWXSGTmReJ6KKgye52uLrSp150O/1d23/U1lgwbouFOPVCRWJJ9chhwwxsj2PCWqa5VuSKrf8HJlZOT+d/1Y2gu01YSx2mzs1lrzyUqVj9pMTklcqTxt+wGg5yGYtZNl29p1j501f96bTW2bV26maCyax6oKh7EcDa+s1IWX/0jGGHleQChDzhRZgeb98TGtXbxSkhQtjmnfC4+VZzlNW2akPMnqV6qKr/WT6/pKsc8ZgHZgfL2dnEhMV17/M+0zebyKS+LadY+d9ds/z1Q0Vpzv0gqG7wfyPMl1A3ZeR85YllHtqnVNoUyS0g0pvf/4q4rYzRc5+n6gTMZrsb8ZAGTDiFk7+X6gaFGJZlx5voxpHK1xIrG8r4cB0L0syyi5vq5Fe2J9nRi2BdBVGDHrAN8PZKyIygeXybKj8pmqAHo91/VVPmq47IjdrH3rCWPls7gfQBdhxAwA2ihjWdr3gmP0zj9eVroupZH77qx+lUOU4qlgAF2EYAYAbeR6gaziuHY6dj/JDxQ4jlIZNpgG0HUIZgDQDr4fqPHsCSMRygB0MRZGAAAAhATBDAAAICQIZgAAACFBMAMAAAgJghkAAEBI8FQmgIJgjBqPTnI9ybGV8TjSCz2PMUZFMUu2kTK+lErxZHBvQzAD0OtZllGRCfTeY/O0+qPPNWjUMG03dQ8lA8PJHegxbNtSabGt5KrPlU4m5PTtr34DylVTm853aehCBDMAvV5EgV697Qmt/vhzSVLtqnWqXblOu558oFJ5rg1oq5K4rfpPPpSfaQxiXvVKBa6reP8KJZJunqtDV2GNGYBezwR+UyjbaPXHy2UCjlJCz2EpaAplG6Vr1irqmDxVhO5AMAPQ+xmjSFG0WVOkKNq48AzoKTbx+WpFogU7HR+J2IpE7HyX0eUIZgB6Pc9Y2vnofaSNP9eMtPPREyTHluPwbRA9Q9oNFBtU8UWDMYoP3VzJdGGN/EYilvqXRhRNb1AsU6v+pVE5du/5JYs1ZgB6vYwXaMDozXXg5SepdtV69a34//buPTyq6t7/+GfvPbeQhAQQA4oiCIaDYFCsCqIcFFsBMRQKImghyiOlXqkiKFQ8CILCT4qIlHpKsRTUAw0gVRSLoi0XKWi9cazYFgTEgFxiSGYyM3vv3x8pOaThDsneSd6v58nzJCuZme+swMwna629Vqa+K9ivj196W80uz1bDC89RLFk3Rx1Qc5REk0qtf5bSMxvJTsRlhSOKltpKJOtOMDMMKTViqejLzZJT9ryNPbuU1vI/dOAELoIwTUNp9QIy5UqGoUTSVXHUX+vzCGYA6oSEIyVkqf65Z2n9r/6gff/8RpK0869/V9ubrtJ5V7dXvA69waFmKo4mZRiSYQTkxBNel1PtQqGASr8tKA9lkuQmk0oWHVAwmK5E4tjbh9RPDapk2xbZpTFJUjCzkdLPaqqiYv/0JWP4AOoUJ54oD2WHfPn2hzId9oNCzeC6qrPrygxJOsJFO+4JbEoYDluK79tdHsokKXFgr0w7IdP0z1SoZ8FsxowZmjlzplcPD6COMszKL3tWKCjVzfc5oEaJJ2yFG2VVbDRNBetnHne0zDIkO1pSqd0ujdbtYFZUVKRHH31Uc+fOre6HBgC5pqlzL21Voa1dn86yrdp3dRdQ2ziOq2hCSm/VVqEGjRRq2FjprdqqJHb8Ee+E7SqY0aBSeyA1Xbbtn2UM1b7GbNWqVbrggguUl5dX3Q8NAIq7Uk7/rmrRpZ0OfLVHTdtdILNehPVlQA1RGreVSBoKZWTJlaHCg4kTOl4tkXCUklZf4bOyFN/3rcshh64AABrzSURBVAzLUqRpM5Um/HU8m+GeyMRsFTg0jXnvvfd68fAAAKAOch1Hrl02wmYEAjJ8tp9hlY2YrVixQpMnT67Q1rJlS82bN++07nfv3oO+WfTYuHG69uwpOuXbG4ZkJ+OKl5YdChMKh2UFwie0iLEmOt3+qmvor5NDf504+urk0F8nh/4qY5qGGjVKO+nbVVkw69Gjh3r06FFVd18rOHZcj416Uuve2yhJ+l6nSzV5xs9lmKHj3BIAANRGbJfhkUDA1Ia1H5SHMkn6y7oP9ed31tfKIyYAAMDxEcw8YlmmPvnr5krtH3+42VeX7QIAgOrj2c7/NW/Rvy07EZcrQ6FQWI57euEpkbD1/V7d9NK8/ArtN958nZJcHQYAQJ3EiNmJcBOa/cyv1fPaW9X3hh/r9aVvyLFP7/gGx3HVrHkzPTLhfjU8q4EaNsrUqJ/fo5atWvhqPxUAAFB9OCvzOAIBU2+/sVaLF74qSUomkpr6xCx1vLKDspo0PK37Ns2gftD7+/rPG66RJIUjEdmcCgMAQJ3FiNlx2MmkVr+1plL7+2s2nZn7t10FghEFgoQyAADqOoLZcVgBSx2vzKnUfsllF3tQDQAAqM0IZseRTLrq2ecGdb72e5Ik0zQ1aGg/NTv/XI8rAwAAtQ1rzE6AaYX1X1MfUSIRl2mYCgRDMky6DgAAnFmkiyMwTSleGpUhQ1YwKMmSaYUUttiRHwAAVB2mMv+N6yS1/r31GthrmHpec4tmTJktx457XRYAAKgDCGaHMQyppPigHnlgovbvK1QyaevVxW/o1cUrFAiwGz8AAKhaBLPDlB2T9L+V2t9dtValsVIPKgIAAHUJwewwtu2qdZuWldpzLr1YoTDrywAAQNUimB3GdV01aNhAw+6+TZZlSZLa5bTRbcMGsPkrAACoclyV+W9MK6Rbh/5I/QffrGTSVjAUUjAUkeO4XpcGAABqOYLZkRgBBUIBBf41e0koAwAA1YGpTAAAcFymye4E1YERMwAAcFSRsKVIyJRTGpMZCiuelEpiSa/LqrUIZgAA4IhCQUshN66iL74sb4s0OVcpkQxFS7kqriowlQkAAI4oEjZVsnNbhbZYwdcKh4gPVYWeBQAAR2QakptMVGx03bIPVAmCGQAAOKJ40lWwfmaFNisckU0uqzKsMQMAAEcUjSWV0eQ8GcGQkgcLZUVSFck6R0UlLP6vKgQzAABwRK4rHSiKK5LeWOHMxrIdV4UHk3KZyqwyBDMAAHBMsVJGyKoLa8wAAAB8gmAGAEA1MIyyD+BYmMoEAKAKmaahtHoBGU5SkiHXtHSwJMk5zDgighkAAFWofmpQxdu2yCmNSZKslHqqf96FOlAU97gy+BFTmR6xLEOOHVciHpVp8lcTANRGoZClxHf7ykOZJNnREiWLv1MgYHlYGfyKYOYB05T2ffutxo58QkN/dLfmPj9frsNfTgBQ25iGUSGUHeKUxmSaLDhDZUxleiBRGlNe/3tVeOA7SdL8//4fObajYfcMkePyHxUAaotE0lZaZiPF9++t0B7MaKholEPAURkjZh7Yu3dfeSg75M3X3lbpEf6qAgDUXLbtKmkEVa9ZC1nhiKxIilLPv1AJx2CTVhwRI2YeqJ+RXqnt3POayjTJyQBQ2xRHkwoGIwo3u1BypWjSVSLGaBmOjCTggVAoojtGDCr/OjWtnsY+MVKhcIqHVQEAqkoi4ehgSVIHo0klEoQyHB0jZh4wraAG5fVX31tv0r5v96tJ0ywFwxHZtuN1aQAAwEMEM48YZlAp9YJq1ry+XFdyyGQAgFrIMKRI2FLAMmQ7UqzUZnPdY2Aq02Os/QQA1FaGYSgjLSR3f4GiW7+QvWeH6qcGZFnEj6OhZwAAQJWoF7EU3fWVEgf2yk0mlCwqVPHWLUpNYXPdoyGYAQCAKhEMGEoWFVZoc+KlMsV00dEQzAAAQJVwHMkMhio2GkbZB46IYAYAAKpEtNRWyrnNKwSxlKbnKRbnirej4apMAABQJRJJR6YZVHrrdnITcRnBoErjjmKl7OV2NAQzAABQZUrjtkrjtgxDcmMJr8vxPaYyAQBAlWN7qBNDMAMAAPAJghkAAIBPEMwAAAB8gmAGAADgEwQzAAAAnyCYAQAA+ATBDAAAwCcIZgAAAD5BMAMAAPAJjmQCAMAHQiFLlmkoabtKJDhLsq5ixAwAAA+ZpqHM9JCCsQNy9+5Q2ClR/bSg12XBI4yYAQDgodQUSyXb/yE7WixJSnxXqHDjJoqkNlSslJGzuoYRMwAAPGQZKg9lh5Tu3a1wkLfouojfOgAAXjKMyk2mKdeDUuA9ghkAAB5KJF0FMxpWaItkNVMs7nhUEbzEGjMAADxUHE0qvfE5CjVoJDtaokBafSUcU/FY0uvS4AGCGQAAHisqTsiyLJnhDJVEHbkuoayuIpgBAOADtu3KtrkKs65jjRkAAIBPEMwAAAB8gmAGAADgEwQzAAAAn6j2YLZp0yb169dPubm5GjJkiHbu3FndJQAAAPhStQezUaNGadKkSVq2bJl69+6tiRMnVncJAM4Aw5CCQUuWVXnXcgDAqanWYBaPx3X//ferTZs2kqTs7Gzt2rWrOksAcAYETSmYTGrPh1+otGCfItYRT5UBAJwkw3VdT47jchxHI0aMUPv27XXPPfd4UQKAU/TN5m3608ylOvTy0aRdC1059PsKp6V4XBkA1GxVtsHsihUrNHny5AptLVu21Lx58xSPxzVmzBglk0kNHz78pO53796Dchx/HO3auHG69uwp8rqMGoP+Ojl+7a+Q4eqj3/9Jh/9N982n/1TsYFTfRb3brdyv/eVH9NXJob9ODv1VxjQNNWqUdtK3q7Jg1qNHD/Xo0aNSe3FxsUaMGKHMzEzNnj1bwWCwqkoAUAUMSYlYvFK7nbAli//PAHA6PFn837x5c82YMUOhUKi6Hx7AaXIsS63/M6dCW+pZGQqlRjyqCABqj2o9K3Pz5s1atWqVWrVqpT59+kiSzj77bL3wwgvVWQaA05BIOjqn40WKZKZp2/r/Vf2mDdXqug6Ky5TkeF0eANRo1RrM2rZtq7/97W/V+ZAAqkDMluq3Ok85F54j1zAVTToilAHA6avWYAag9kgm7X99RiADgDOFI5kAAAB8gmAGAADgEwQzAAAAnyCYAQAA+ATB7Axy7IRKowdVuO9b2cmYLIvuBQAAJ46rMs8Qx47rlzN+o98vXC5JOqdZE/365RkKp6TJo+NIAQBADcOQzhlgGNL+vfvLQ5kkfb3jG83+xW8k1z7GLQEAAP4PI2ZngGma2r5tZ6X2v3+xVYlEQoFg2IOqAACoPYIBUylhS6ZpKJ50FI0lVRsnpAhmZ4BtO2rbPluBgHXYppvSD27qpkhKipJJNuAEAOBUhUOmwkZS0W1/l5OIK5jRQBlZzXSgKO51aWccU5lnSCiSol/O/39qdVELNWiYobzht6pnnxsIZQAAnKaUsKXibV/KSZQFsUThfpXu/UaRcO0bX6p9z8gzplr/R7ZmvThVcl2FIhE5juF1UQAA1GimaciJl+rf5y2TRd8pnHm2R1VVHYLZGZRM2goEI5Ikh4EyAABOm+O4MoOhSu1WJKVWvtcylQkAAHwtnpQiWedKKpuJMkNhRZo0U7S09u18wIhZFbEsU6WxEhmGZJqWrEBIjlMLLx8BAKCKlcSSSknJUPpFDSTXleMaKiqxa+U+oYyYVQHLNFSw62vdk/ewbuw8QI+PnqJ4aYlMkzVnAACcimiprQNFCR04mNR3xQnZdi2cxxTBrErES6MaPvhBbfn8H3IcR39+531NGvuM7GTtu6wXAACcOQSzKhCNRnVgf2GFtrXvbZDj1L65cAAAcOYQzKpAJCWiYChYoa1VdksdWrQIAABwJASzKhAMhvRfT49WKFx2eW/DRpl6YtojCoVTPK4MAAD4GVdlVgFXlq7s8j0tX71AsZKYUuqlKBiO1NqFigAA4MwgmFUZS4FgitIyykbJauMmeAAA4MxiKhMAAMAnCGYAAAA+QTADAADwCYIZAACATxDMAAAAfIJgBgAA4BMEMwAAAJ8gmAEAAPgEwQwAAMAnCGYAAAA+QTADAADwCYIZAACATxDMAAAAfIJgBgAA4BMBrwsAAL+wLFMB15YcV4ZpKGGYsm3X67IA1CEEMwBQWSizSku15pfLVVSwXymZqbpqWE8FGmYoSTgDUE2YygQASQHH1vtzV6ioYL8kKXqgWGtmL1fQdTyuDEBdQjADAEmmIR3YvqdCW7w4Jjthe1QRgLqIYAYAkhxXyjyvcYW2UGpEVtDyqCIAdRHBDAAkJU1LV97RQ+lZDSRJKZmpunrEzUoYvEwCqD4s/gcASbbtSOGwutz3Q7mHXZXJwn8A1YlgBgD/YtuObBmSDMmRJEIZgOrFGD0AAIBPEMwAAAB8gmAGAADgEwQzAAAAnyCYAQAA+ATBDAAAwCcIZgAAAD5BMAMAAPAJghkAAIBPEMwAAAB8gmAGAADgEwQzAAAAnyCYAQAA+ATBDAAAwCcIZgAAAD5BMAMAAPAJghkAAIBPEMwAAAB8gmAGAADgEwGvCzhZpml4XUIFfqvH7+ivk0N/nRz668TRVyeH/jo59Nep94Hhuq57hmsBAADAKWAqEwAAwCcIZgAAAD5BMAMAAPAJghkAAIBPEMwAAAB8gmAGAADgEwQzAAAAnyCYAQAA+ATBDAAAwCcIZqdh9+7duuuuu9SnTx8NHDhQO3bs8LqkGmHz5s1q166d12X43qZNm9SvXz/l5uZqyJAh2rlzp9cl+dLy5cvVs2dP3XDDDVqwYIHX5fjec889p169eqlXr156+umnvS6nRnjqqac0ZswYr8vwvbffflt9+/bVjTfeqIkTJ3pdTo1FMDsNDz/8sLp166alS5cqNzdX06ZN87ok34tGo5owYYISiYTXpfjeqFGjNGnSJC1btky9e/fmhe4ICgoKNH36dC1cuFDLli3TK6+8oi+//NLrsnxr7dq1+vOf/6wlS5Zo6dKl+uyzz/TWW295XZavrVu3TkuWLPG6DN/bvn27xo8fr+eff17Lly/X5s2b9e6773pdVo1EMDtF+/bt0+eff66BAwdKkvr166cHHnjA46r8b8qUKRo6dKjXZfhePB7X/fffrzZt2kiSsrOztWvXLo+r8p+1a9fqqquuUmZmpurVq6cf/OAHeuONN7wuy7caN26sMWPGKBQKKRgM6sILL9TXX3/tdVm+deDAAU2fPl0/+clPvC7F99566y317NlTTZo0UTAY1PTp05WTk+N1WTUSwewUbd++Xeecc46efPJJ3XzzzbrvvvsUDAa9LsvXVq1apVgsphtvvNHrUnwvFAopNzdXkuQ4jp577jl1797d46r8Z/fu3WrcuHH512effbYKCgo8rMjfWrdurQ4dOkiStm7dqtdff11du3b1uCr/euyxxzRy5EjVr1/f61J8b9u2bbJtW3feeaduvvlmLVy4UBkZGV6XVSMFvC6gJlixYoUmT55coa158+bavHmz7r33Xo0dO1aLFi3SmDFjNH/+fI+q9I8j9VfLli118OBBzZs3z5uifOxo/TVv3jzF43GNGTNGyWRSw4cP96hC/3Jdt1KbYRgeVFKzbNmyRcOHD9fo0aN1wQUXeF2OLy1atEhNmzZVp06dlJ+f73U5vmfbtjZu3Kj58+erXr16+ulPf6olS5aob9++XpdW4xjukV7ZcFxfffWVfvjDH2rTpk2SytZOXXXVVfroo488rsyfFi1apDlz5ig1NVWS9Pnnn6tNmzZasGCB0tLSPK7On4qLizVixAhlZmZq2rRpCoVCXpfkO0uWLNHGjRs1adIkSdKsWbPkuq7uuecejyvzr02bNum+++7To48+ql69enldjm/l5eVpz549sixLhYWFKikpUZ8+ffToo496XZov/eIXv9DBgwc1btw4SdKCBQu0ZcsWPf74494WVgMxYnaKzj//fGVlZendd99V165d9c477+jiiy/2uizf6t+/v/r371/+dXZ2tpYtW+ZhRf43atQoNW/eXBMmTGAU6Cg6d+6smTNnat++fUpJSdHKlSv1xBNPeF2Wb+3atUt33323pk+frk6dOnldjq/95je/Kf88Pz9fGzZsIJQdQ7du3TR69Gh99913Sk1N1Z/+9Cddf/31XpdVIxHMTsNzzz2n8ePHa+rUqUpLS9OUKVO8Lgm1xObNm7Vq1Sq1atVKffr0kVS2fuqFF17wuDJ/ycrK0siRI/XjH/9YiURCP/rRj3TJJZd4XZZv/frXv1ZpaWmF16qBAwfq1ltv9bAq1AY5OTkaNmyYBg0apEQioauvvlr9+vXzuqwaialMAAAAn+CqTAAAAJ8gmAEAAPgEwQwAAMAnCGYAAAA+QTADAADwCbbLAOqg7OxsXXTRRTLN//vbrF27dpo0aZJyc3M1f/78Ez6GpqioSHfffbd++9vfVvrezJkztWDBAmVlZckwDNm2rUaNGmn8+PFq0aJFpZ8fO3asevXqpc6dO5/0c3rppZdUVFSku+6666RvK0ljxoxR69atdeedd1b63qHD0j/77DMZhqFwOKzhw4fXumOyxo0bp4EDB6pdu3ZelwLUWQQzoI568cUX1bBhw0rtJ7vxb2FhoT755JOjfr9nz5567LHHyr+eP3++HnzwwSMec3NoB/9TUVV7ce3bt08DBw7U/fffr8mTJ8swDH3++efKy8tTSkqKrr766ip5XC+sXbtWt9xyi9dlAHUawQxABdnZ2Vq3bp1Wr16txYsXKxqNKi0tTc8884xGjx6t/fv3S5K6du2qBx54QI888ohisZhyc3OVn58vy7KOef+dOnXSM888I0m6/fbblZGRoX/84x+69dZbtXLlSg0ePFjt2rXT0KFD1bVrV3300UcqLCzUyJEj1bNnTyWTSU2dOlWrV6+WZVm69NJLNX78eM2ZM0f79+/XY489puuuu07du3fXxo0bVVRUpLy8PA0aNEiO4+jJJ5/URx99pOLiYrmuq4kTJ6pjx45HrXfhwoW67LLLyjf6laQ2bdpo5syZSk9PlyRt3LhRTz/9tKLRqILBoB544AFde+21ys/P18qVKxWLxbRz5041bdpUgwcP1u9+9ztt3bpVeXl5uuOOO5Sfn6/XXntNjuOooKBAWVlZmjJlirKysvTNN9/o8ccf186dO+W6rvr06aNhw4Zpx44dR+0jSZo9e7ZWrlwpx3F07rnnavz48crKytLtt9+uDh066IMPPtCuXbvUsWNHPfXUU5oxY4Z2796thx56SE8//bRycnJO698RgFNDMAPqqCFDhlSYypw7d64aNWpU4We+/PJLvf3220pLS9OsWbPUrFkzzZ07VyUlJRo7dqyKioo0efJk9e7d+4RG2pLJpBYvXqwrr7yyvK1+/fp6/fXXJUkrV64sb9++fbu6dOmin//853rzzTc1ZcoU9ezZUwsXLtRnn32mZcuWKRQK6Wc/+1n57Q8Xi8X0+9//XgUFBerTp486duyokpIS7d69W6+88opM09SvfvUrvfDCC8cMZp9++qmuueaaSu2XX365JGn//v267777NHv2bOXk5GjLli267bbbtHjxYklloW358uXKyspS79699dprr+nFF1/UF198oQEDBmjo0KGSpA8++ED5+flq0aKFpk2bpkmTJunZZ5/VQw89pOuvv155eXkqKirS4MGD1bRpU+Xk5By1j5YuXaovvvhCixYtUiAQ0CuvvKJx48aVnxzx1Vdfaf78+SopKVGPHj20YcMGjRw5UsuXL9e0adPUvn374/4uAVQNghlQRx1tKvNw2dnZ5YfMX3PNNbrrrru0a9cude7cWQ8++KDS09NVWFh4zPt4/fXXtWnTJklSIpHQxRdfXOE8y0MB598Fg0F17dpVktS2bVsdOHBAUtl0W25uriKRiKSyw5OlsvVshxs0aJAMw1CTJk10zTXXaM2aNbrjjjuUkZGhl19+Wdu3b9f777+v1NTUY9ZvGIaOdUDKxx9/rPPPP798hKl169a67LLLtGHDBhmGofbt26tp06aSpGbNmqlLly4yTVPnnXeeSktLFY1GJUlXX311+bq7AQMGKDc3VyUlJfrggw80d+5cSVJ6err69u2r9957Tzk5OUfto3feeUeffPJJ+ZE4juOUP45Udq6haZpKS0tT8+bNj/s7BFB9CGYAjqpevXrln19yySVatWqV1q1bp/Xr16t///6aNWuWzj777GPex7+vMTvWYxwuGAyWj+gdfoh7IFDxZevbb7+V4ziVbn/4zzmOI9M0tXr1ak2aNEl5eXm6/vrr1bJlS7366qvHrL9Dhw7661//qttuu61C+8svv6xoNKoLLrig0m1c11UymVQwGFQoFDpqXYc7fArYcRxZliXHcSqFQsdxlEwmJR29jxzHKT+3UJLi8XiF8HUo1B66HSfzAf7BdhkATsi0adP0/PPPq3v37ho7dqxatWqlrVu3KhAIyLbtantz79Spk/7whz8oHo/LcRw9/vjjeu211yr93NKlSyVJX3/9tdasWaNrr71Wa9asUbdu3TRo0CC1b99ef/zjH2Xb9jEf75ZbbtGGDRv06quvlj/HTz/9VM8++6wuuugi5eTk6J///Kc+/vhjSdKWLVv0l7/8RVdcccVJPa/169eroKBAUlno69atm9LS0pSTk6MFCxZIKrsCdunSpce9arVLly5avHixDh48KEmaMWOGHn744ePWYFlWeegD4A1GzACckCFDhmjMmDG66aabFAqFlJ2drZtuukmWZalt27bq0aOHXnrpJTVo0KBK6xg4cKB27typvn37ynVdXXHFFbr99ts1e/bsCj+3Y8cO9e3bV7FYTOPGjVPLli01cOBAPfTQQ+rdu7csy9Lll19evkD+aDIzMzV//nxNnTpVc+bMkWmaSklJ0aRJk8qvyJwxY4aeeOIJxWIxGYahyZMnq0WLFvrwww9P+HllZWVp1KhR2rNnj1q1aqUJEyZIKgvEEyZMUH5+vuLxuHr37q2+fftq586dR72v/v37q6CgQAMGDJBhGGratKmmTJly3Bq6d++ukSNHauLEierSpcsJ1w7gzDFcxrAB1DLXXXedZsyYUWMWsefn5+vNN9/UnDlzvC4FgMeYygQAAPAJRswAAAB8ghEzAAAAnyCYAQAA+ATBDAAAwCcIZgAAAD5BMAMAAPAJghkAAIBP/H/H6GIRx1NYBQAAAABJRU5ErkJggg==\n", "text/plain": [ "<Figure size 720x720 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "preds = cluster.KMeans(n_clusters=3).fit_predict(toy_df)\n", "scatter_df = pd.concat([projection[[0,1]], pd.Series(preds).rename('class')], axis=1)\n", "\n", "ax = sns.scatterplot(x=0, y=1, hue='class', data=scatter_df)\n", "ax.set_ylabel('Second Principal Component')\n", "ax.set_xlabel('First Principal Component')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(g) Using the scale() function, perform K-means clustering with K = 3 on the data after scaling each variable to have standard deviation one. How do these results compare to those obtained in (b)? Explain.\n", "\n", "*I've been using the scaled vars throughout.. as the authors recommend in the book..*" ] }, { "cell_type": "code", "execution_count": 290, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2,\n", " 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1,\n", " 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], dtype=int32)" ] }, "execution_count": 290, "metadata": {}, "output_type": "execute_result" } ], "source": [ "toy_df_not_std = pd.DataFrame(np.random.normal(0, 1, (60, 50)))\n", "toy_df_not_std = pd.DataFrame((true_classes.values.reshape(60,1) + toy_df.values))\n", "cluster.KMeans(n_clusters=3).fit_predict(toy_df_not_std)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "11. On the book website, www.StatLearning.com, there is a gene expression data set `Ch10Ex11.csv` that consists of `40` tissue samples with measurements on `1,000 genes`. The first `20` samples are from healthy patients, while the second `20` are from a diseased group.\n", "\n", "(a) Load in the data" ] }, { "cell_type": "code", "execution_count": 293, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>0</th>\n", " <th>1</th>\n", " <th>2</th>\n", " <th>3</th>\n", " <th>4</th>\n", " <th>5</th>\n", " <th>6</th>\n", " <th>7</th>\n", " <th>8</th>\n", " <th>9</th>\n", " <th>...</th>\n", " <th>30</th>\n", " <th>31</th>\n", " <th>32</th>\n", " <th>33</th>\n", " <th>34</th>\n", " <th>35</th>\n", " <th>36</th>\n", " <th>37</th>\n", " <th>38</th>\n", " <th>39</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>-0.961933</td>\n", " <td>0.441803</td>\n", " <td>-0.975005</td>\n", " <td>1.417504</td>\n", " <td>0.818815</td>\n", " <td>0.316294</td>\n", " <td>-0.024967</td>\n", " <td>-0.063966</td>\n", " <td>0.031497</td>\n", " <td>-0.350311</td>\n", " <td>...</td>\n", " <td>-0.509591</td>\n", " <td>-0.216726</td>\n", " <td>-0.055506</td>\n", " <td>-0.484449</td>\n", " <td>-0.521581</td>\n", " <td>1.949135</td>\n", " <td>1.324335</td>\n", " <td>0.468147</td>\n", " <td>1.061100</td>\n", " <td>1.655970</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>-0.292526</td>\n", " <td>-1.139267</td>\n", " <td>0.195837</td>\n", " <td>-1.281121</td>\n", " <td>-0.251439</td>\n", " <td>2.511997</td>\n", " <td>-0.922206</td>\n", " <td>0.059543</td>\n", " <td>-1.409645</td>\n", " <td>-0.656712</td>\n", " <td>...</td>\n", " <td>1.700708</td>\n", " <td>0.007290</td>\n", " <td>0.099062</td>\n", " <td>0.563853</td>\n", " <td>-0.257275</td>\n", " <td>-0.581781</td>\n", " <td>-0.169887</td>\n", " <td>-0.542304</td>\n", " <td>0.312939</td>\n", " <td>-1.284377</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>0.258788</td>\n", " <td>-0.972845</td>\n", " <td>0.588486</td>\n", " <td>-0.800258</td>\n", " <td>-1.820398</td>\n", " <td>-2.058924</td>\n", " <td>-0.064764</td>\n", " <td>1.592124</td>\n", " <td>-0.173117</td>\n", " <td>-0.121087</td>\n", " <td>...</td>\n", " <td>-0.615472</td>\n", " <td>0.009999</td>\n", " <td>0.945810</td>\n", " <td>-0.318521</td>\n", " <td>-0.117889</td>\n", " <td>0.621366</td>\n", " <td>-0.070764</td>\n", " <td>0.401682</td>\n", " <td>-0.016227</td>\n", " <td>-0.526553</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>-1.152132</td>\n", " <td>-2.213168</td>\n", " <td>-0.861525</td>\n", " <td>0.630925</td>\n", " <td>0.951772</td>\n", " <td>-1.165724</td>\n", " <td>-0.391559</td>\n", " <td>1.063619</td>\n", " <td>-0.350009</td>\n", " <td>-1.489058</td>\n", " <td>...</td>\n", " <td>-0.284277</td>\n", " <td>0.198946</td>\n", " <td>-0.091833</td>\n", " <td>0.349628</td>\n", " <td>-0.298910</td>\n", " <td>1.513696</td>\n", " <td>0.671185</td>\n", " <td>0.010855</td>\n", " <td>-1.043689</td>\n", " <td>1.625275</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>0.195783</td>\n", " <td>0.593306</td>\n", " <td>0.282992</td>\n", " <td>0.247147</td>\n", " <td>1.978668</td>\n", " <td>-0.871018</td>\n", " <td>-0.989715</td>\n", " <td>-1.032253</td>\n", " <td>-1.109654</td>\n", " <td>-0.385142</td>\n", " <td>...</td>\n", " <td>-0.692998</td>\n", " <td>-0.845707</td>\n", " <td>-0.177497</td>\n", " <td>-0.166491</td>\n", " <td>1.483155</td>\n", " <td>-1.687946</td>\n", " <td>-0.141430</td>\n", " <td>0.200778</td>\n", " <td>-0.675942</td>\n", " <td>2.220611</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "<p>5 rows × 40 columns</p>\n", "</div>" ], "text/plain": [ " 0 1 2 3 4 5 6 \\\n", "0 -0.961933 0.441803 -0.975005 1.417504 0.818815 0.316294 -0.024967 \n", "1 -0.292526 -1.139267 0.195837 -1.281121 -0.251439 2.511997 -0.922206 \n", "2 0.258788 -0.972845 0.588486 -0.800258 -1.820398 -2.058924 -0.064764 \n", "3 -1.152132 -2.213168 -0.861525 0.630925 0.951772 -1.165724 -0.391559 \n", "4 0.195783 0.593306 0.282992 0.247147 1.978668 -0.871018 -0.989715 \n", "\n", " 7 8 9 ... 30 31 32 \\\n", "0 -0.063966 0.031497 -0.350311 ... -0.509591 -0.216726 -0.055506 \n", "1 0.059543 -1.409645 -0.656712 ... 1.700708 0.007290 0.099062 \n", "2 1.592124 -0.173117 -0.121087 ... -0.615472 0.009999 0.945810 \n", "3 1.063619 -0.350009 -1.489058 ... -0.284277 0.198946 -0.091833 \n", "4 -1.032253 -1.109654 -0.385142 ... -0.692998 -0.845707 -0.177497 \n", "\n", " 33 34 35 36 37 38 39 \n", "0 -0.484449 -0.521581 1.949135 1.324335 0.468147 1.061100 1.655970 \n", "1 0.563853 -0.257275 -0.581781 -0.169887 -0.542304 0.312939 -1.284377 \n", "2 -0.318521 -0.117889 0.621366 -0.070764 0.401682 -0.016227 -0.526553 \n", "3 0.349628 -0.298910 1.513696 0.671185 0.010855 -1.043689 1.625275 \n", "4 -0.166491 1.483155 -1.687946 -0.141430 0.200778 -0.675942 2.220611 \n", "\n", "[5 rows x 40 columns]" ] }, "execution_count": 293, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gene_df = pd.read_csv('Ch10Ex11.csv', header=None)\n", "gene_df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(b) Apply hierarchical clustering to the samples using correlation-based distance, and plot the dendrogram. Do the genes separate the samples into the two groups? Do your results depend on the type of linkage used?\n", "\n", "(c) Your collaborator wants to know which genes differ the most across the two groups. Suggest a way to answer this question, and apply it here." ] }, { "cell_type": "code", "execution_count": 299, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<seaborn.matrix.ClusterGrid at 0x1154b8780>" ] }, "execution_count": 299, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x720 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.clustermap(gene_df, metric='correlation', method='single')" ] }, { "cell_type": "code", "execution_count": 297, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<seaborn.matrix.ClusterGrid at 0x114994b70>" ] }, "execution_count": 297, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x720 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.clustermap(gene_df, metric='correlation', method='average')" ] }, { "cell_type": "code", "execution_count": 295, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<seaborn.matrix.ClusterGrid at 0x11015ca20>" ] }, "execution_count": 295, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x720 with 4 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.clustermap(gene_df, metric='correlation', method='complete')" ] } ], "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": 2 }