![\"Open](\"https://colab.research.google.com/assets/colab-badge.svg\"){kind=icon}
"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "yXA3GwWhY9KL",
+ "colab_type": "text"
+ },
+ "source": [
+ "# Part 1 - Scalars and Vectors\n",
+ "\n",
+ "For the questions below it is not sufficient to simply provide answer to the questions, but you must solve the problems and show your work using python (the NumPy library will help a lot!) Translate the vectors and matrices into their appropriate python representations and use numpy or functions that you write yourself to demonstrate the result or property. "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "oNOTv43_Zi9L",
+ "colab_type": "text"
+ },
+ "source": [
+ "## 1.1 Create a two-dimensional vector and plot it on a graph"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "Jrgp-vWkLRge",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "import matplotlib.pyplot as plt\n"
+ ],
+ "execution_count": null,
+ "outputs": []
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "XNqjzQzrkVG7",
+ "colab_type": "code",
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 268
+ },
+ "outputId": "416875a4-b644-4e93-c9d2-06e43680d2a3"
+ },
+ "source": [
+ "vector = [.5,.5]\n",
+ "plt.arrow(0,0,vector[0],vector[1],head_width=.01, head_length=.01, color = 'g')\n",
+ "plt.show()"
+ ],
+ "execution_count": null,
+ "outputs": [
+ {
+ "output_type": "display_data",
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "GSNiYn8lr6nN",
+ "colab_type": "text"
+ },
+ "source": [
+ "# Statistics"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "3d4izUhQvh2_",
+ "colab_type": "text"
+ },
+ "source": [
+ "## 1.1 Sales for the past week was the following amounts: [3505, 2400, 3027, 2798, 3700, 3250, 2689]. Without using library functions, what is the mean, variance, and standard deviation of of sales from last week? (for extra bonus points, write your own function that can calculate these two values for any sized list)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "T4RT6X7Pafmr",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "import numpy as np\n",
+ "import pandas as pd\n",
+ "import matplotlib.pyplot as plt"
+ ],
+ "execution_count": 139,
+ "outputs": []
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "w1iZfYvBtEA1",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "def mean(list):\n",
+ " total=0\n",
+ " for i in list:\n",
+ " total = total + i\n",
+ " return total/len(list)"
+ ],
+ "execution_count": 140,
+ "outputs": []
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "nENaBqOqZ3JL",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "def variance(list):\n",
+ " var = 0\n",
+ " avg = mean(list)\n",
+ " for i in list:\n",
+ " var = var + (i - avg)**2\n",
+ " return var/(len(list) - 1)"
+ ],
+ "execution_count": 141,
+ "outputs": []
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "q9XegG4SaM2q",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "def standard_deviation(list):\n",
+ " return np.sqrt(variance(list))"
+ ],
+ "execution_count": 142,
+ "outputs": []
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "vvMhScCxZOye",
+ "colab_type": "code",
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 100
+ },
+ "outputId": "ce18558c-c7e1-4894-95c7-adf4d02d03c4"
+ },
+ "source": [
+ "list = [3505, 2400, 3027, 2798, 3700, 3250, 2689]\n",
+ "print(mean(list))\n",
+ "print(variance(list))\n",
+ "print(np.var(list, ddof=1))\n",
+ "print(standard_deviation(list))\n",
+ "print(np.std(list, ddof=1))"
+ ],
+ "execution_count": 143,
+ "outputs": [
+ {
+ "output_type": "stream",
+ "text": [
+ "3052.714285714286\n",
+ "214387.90476190473\n",
+ "214387.90476190473\n",
+ "463.0204150595357\n",
+ "463.0204150595357\n"
+ ],
+ "name": "stdout"
+ }
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "oh63KaOctEp_",
+ "colab_type": "text"
+ },
+ "source": [
+ "## 1.2 Find the covariance between last week's sales numbers and the number of customers that entered the store last week: [127, 80, 105, 92, 120, 115, 93] (you may use librray functions for calculating the covariance since we didn't specifically talk about its formula)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "G7ZB0krot564",
+ "colab_type": "code",
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 50
+ },
+ "outputId": "c3f43e4c-ec56-4904-9eaf-e71927f1a779"
+ },
+ "source": [
+ "list2 = [127, 80, 105, 92, 120, 115, 93]\n",
+ "print(np.cov(list, ddof=1))\n",
+ "print(np.cov(list2, ddof=1))"
+ ],
+ "execution_count": 144,
+ "outputs": [
+ {
+ "output_type": "stream",
+ "text": [
+ "214387.90476190473\n",
+ "290.95238095238096\n"
+ ],
+ "name": "stdout"
+ }
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "J9SbUY9mt66I",
+ "colab_type": "text"
+ },
+ "source": [
+ "## 1.3 Find the standard deviation of customers who entered the store last week. Then, use the standard deviations of both sales and customers to standardize the covariance to find the correlation coefficient that summarizes the relationship between sales and customers. (You may use library functions to check your work.)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "vFJms2YRrKhY",
+ "colab_type": "code",
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 33
+ },
+ "outputId": "df3b44b7-4a9b-47c0-8417-97db9baabe46"
+ },
+ "source": [
+ "print(np.std(list2, ddof=1))"
+ ],
+ "execution_count": 145,
+ "outputs": [
+ {
+ "output_type": "stream",
+ "text": [
+ "17.057326313123664\n"
+ ],
+ "name": "stdout"
+ }
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "IbZVf7nmujPJ",
+ "colab_type": "text"
+ },
+ "source": [
+ "## 1.4 Use pandas to import a cleaned version of the titanic dataset from the following link: [Titanic Dataset](https://raw.githubusercontent.com/Geoyi/Cleaning-Titanic-Data/master/titanic_clean.csv)\n",
+ "\n",
+ "## Calculate the variance-covariance matrix and correlation matrix for the titanic dataset's numeric columns. (you can encode some of the categorical variables and include them as a stretch goal if you finish early)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "0TWgUIiaCFzq",
+ "colab_type": "code",
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 190
+ },
+ "outputId": "fe8f8760-7b05-406f-8b16-3287b0fca428"
+ },
+ "source": [
+ "titanic = pd.read_csv('https://raw.githubusercontent.com/Geoyi/Cleaning-Titanic-Data/master/titanic_clean.csv')\n",
+ "titanic = titanic.rename(columns = {'Unnamed: 0': 'Index'})\n",
+ "titanic = titanic.reset_index(drop=True)\n",
+ "titanic.head()"
+ ],
+ "execution_count": 146,
+ "outputs": [
+ {
+ "output_type": "execute_result",
+ "data": {
+ "text/html": [
+ "| \n", + " | Index | \n", + "pclass | \n", + "survived | \n", + "name | \n", + "sex | \n", + "age | \n", + "sibsp | \n", + "parch | \n", + "ticket | \n", + "fare | \n", + "cabin | \n", + "embarked | \n", + "boat | \n", + "body | \n", + "home.dest | \n", + "has_cabin_number | \n", + "
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | \n", + "1 | \n", + "1.0 | \n", + "1.0 | \n", + "Allen, Miss. Elisabeth Walton | \n", + "female | \n", + "29.0000 | \n", + "0.0 | \n", + "0.0 | \n", + "24160 | \n", + "211.3375 | \n", + "B5 | \n", + "S | \n", + "2 | \n", + "NaN | \n", + "St Louis, MO | \n", + "1 | \n", + "
| 1 | \n", + "2 | \n", + "1.0 | \n", + "1.0 | \n", + "Allison, Master. Hudson Trevor | \n", + "male | \n", + "0.9167 | \n", + "1.0 | \n", + "2.0 | \n", + "113781 | \n", + "151.5500 | \n", + "C22 C26 | \n", + "S | \n", + "11 | \n", + "NaN | \n", + "Montreal, PQ / Chesterville, ON | \n", + "1 | \n", + "
| 2 | \n", + "3 | \n", + "1.0 | \n", + "0.0 | \n", + "Allison, Miss. Helen Loraine | \n", + "female | \n", + "2.0000 | \n", + "1.0 | \n", + "2.0 | \n", + "113781 | \n", + "151.5500 | \n", + "C22 C26 | \n", + "S | \n", + "NaN | \n", + "NaN | \n", + "Montreal, PQ / Chesterville, ON | \n", + "1 | \n", + "
| 3 | \n", + "4 | \n", + "1.0 | \n", + "0.0 | \n", + "Allison, Mr. Hudson Joshua Creighton | \n", + "male | \n", + "30.0000 | \n", + "1.0 | \n", + "2.0 | \n", + "113781 | \n", + "151.5500 | \n", + "C22 C26 | \n", + "S | \n", + "NaN | \n", + "135.0 | \n", + "Montreal, PQ / Chesterville, ON | \n", + "1 | \n", + "
| 4 | \n", + "5 | \n", + "1.0 | \n", + "0.0 | \n", + "Allison, Mrs. Hudson J C (Bessie Waldo Daniels) | \n", + "female | \n", + "25.0000 | \n", + "1.0 | \n", + "2.0 | \n", + "113781 | \n", + "151.5500 | \n", + "C22 C26 | \n", + "S | \n", + "NaN | \n", + "NaN | \n", + "Montreal, PQ / Chesterville, ON | \n", + "1 | \n", + "
| \n", + " | Index | \n", + "pclass | \n", + "survived | \n", + "age | \n", + "sibsp | \n", + "parch | \n", + "fare | \n", + "body | \n", + "has_cabin_number | \n", + "
|---|---|---|---|---|---|---|---|---|---|
| count | \n", + "1310.000000 | \n", + "1309.000000 | \n", + "1309.000000 | \n", + "1310.000000 | \n", + "1309.000000 | \n", + "1309.000000 | \n", + "1308.000000 | \n", + "121.000000 | \n", + "1310.000000 | \n", + "
| mean | \n", + "655.500000 | \n", + "2.294882 | \n", + "0.381971 | \n", + "29.881135 | \n", + "0.498854 | \n", + "0.385027 | \n", + "33.295479 | \n", + "160.809917 | \n", + "0.225191 | \n", + "
| std | \n", + "378.308736 | \n", + "0.837836 | \n", + "0.486055 | \n", + "12.878277 | \n", + "1.041658 | \n", + "0.865560 | \n", + "51.758668 | \n", + "97.696922 | \n", + "0.417867 | \n", + "
| min | \n", + "1.000000 | \n", + "1.000000 | \n", + "0.000000 | \n", + "0.166700 | \n", + "0.000000 | \n", + "0.000000 | \n", + "0.000000 | \n", + "1.000000 | \n", + "0.000000 | \n", + "
| 25% | \n", + "328.250000 | \n", + "2.000000 | \n", + "0.000000 | \n", + "22.000000 | \n", + "0.000000 | \n", + "0.000000 | \n", + "7.895800 | \n", + "72.000000 | \n", + "0.000000 | \n", + "
| 50% | \n", + "655.500000 | \n", + "3.000000 | \n", + "0.000000 | \n", + "29.881135 | \n", + "0.000000 | \n", + "0.000000 | \n", + "14.454200 | \n", + "155.000000 | \n", + "0.000000 | \n", + "
| 75% | \n", + "982.750000 | \n", + "3.000000 | \n", + "1.000000 | \n", + "35.000000 | \n", + "1.000000 | \n", + "0.000000 | \n", + "31.275000 | \n", + "256.000000 | \n", + "0.000000 | \n", + "
| max | \n", + "1310.000000 | \n", + "3.000000 | \n", + "1.000000 | \n", + "80.000000 | \n", + "8.000000 | \n", + "9.000000 | \n", + "512.329200 | \n", + "328.000000 | \n", + "1.000000 | \n", + "
| \n", + " | Index | \n", + "pclass | \n", + "survived | \n", + "age | \n", + "sibsp | \n", + "parch | \n", + "fare | \n", + "body | \n", + "has_cabin_number | \n", + "
|---|---|---|---|---|---|---|---|---|---|
| Index | \n", + "143117.500000 | \n", + "284.357034 | \n", + "-53.967125 | \n", + "-1442.939812 | \n", + "25.828746 | \n", + "1.172783 | \n", + "-9410.735123 | \n", + "591.579132 | \n", + "-95.438885 | \n", + "
| pclass | \n", + "284.357034 | \n", + "0.701969 | \n", + "-0.127248 | \n", + "-3.954605 | \n", + "0.053090 | \n", + "0.013287 | \n", + "-24.227788 | \n", + "-2.876653 | \n", + "-0.249992 | \n", + "
| survived | \n", + "-53.967125 | \n", + "-0.127248 | \n", + "0.236250 | \n", + "-0.314343 | \n", + "-0.014088 | \n", + "0.034776 | \n", + "6.146023 | \n", + "0.000000 | \n", + "0.061406 | \n", + "
| age | \n", + "-1442.939812 | \n", + "-3.954605 | \n", + "-0.314343 | \n", + "165.850021 | \n", + "-2.559806 | \n", + "-1.459378 | \n", + "114.416613 | \n", + "81.622922 | \n", + "1.463138 | \n", + "
| sibsp | \n", + "25.828746 | \n", + "0.053090 | \n", + "-0.014088 | \n", + "-2.559806 | \n", + "1.085052 | \n", + "0.336833 | \n", + "8.641768 | \n", + "-8.708471 | \n", + "-0.003946 | \n", + "
| parch | \n", + "1.172783 | \n", + "0.013287 | \n", + "0.034776 | \n", + "-1.459378 | \n", + "0.336833 | \n", + "0.749195 | \n", + "9.928031 | \n", + "4.237190 | \n", + "0.013316 | \n", + "
| fare | \n", + "-9410.735123 | \n", + "-24.227788 | \n", + "6.146023 | \n", + "114.416613 | \n", + "8.641768 | \n", + "9.928031 | \n", + "2678.959738 | \n", + "-179.164684 | \n", + "10.976961 | \n", + "
| body | \n", + "591.579132 | \n", + "-2.876653 | \n", + "0.000000 | \n", + "81.622922 | \n", + "-8.708471 | \n", + "4.237190 | \n", + "-179.164684 | \n", + "9544.688567 | \n", + "3.625689 | \n", + "
| has_cabin_number | \n", + "-95.438885 | \n", + "-0.249992 | \n", + "0.061406 | \n", + "1.463138 | \n", + "-0.003946 | \n", + "0.013316 | \n", + "10.976961 | \n", + "3.625689 | \n", + "0.174613 | \n", + "
| \n", + " | Index | \n", + "pclass | \n", + "survived | \n", + "age | \n", + "sibsp | \n", + "parch | \n", + "fare | \n", + "body | \n", + "has_cabin_number | \n", + "
|---|---|---|---|---|---|---|---|---|---|
| Index | \n", + "1.000000 | \n", + "0.897822 | \n", + "-0.293717 | \n", + "-0.296172 | \n", + "0.065594 | \n", + "0.003584 | \n", + "-0.481215 | \n", + "0.015558 | \n", + "-0.603727 | \n", + "
| pclass | \n", + "0.897822 | \n", + "1.000000 | \n", + "-0.312469 | \n", + "-0.366370 | \n", + "0.060832 | \n", + "0.018322 | \n", + "-0.558629 | \n", + "-0.034642 | \n", + "-0.713857 | \n", + "
| survived | \n", + "-0.293717 | \n", + "-0.312469 | \n", + "1.000000 | \n", + "-0.050199 | \n", + "-0.027825 | \n", + "0.082660 | \n", + "0.244265 | \n", + "NaN | \n", + "0.302250 | \n", + "
| age | \n", + "-0.296172 | \n", + "-0.366370 | \n", + "-0.050199 | \n", + "1.000000 | \n", + "-0.190747 | \n", + "-0.130872 | \n", + "0.171892 | \n", + "0.059059 | \n", + "0.271887 | \n", + "
| sibsp | \n", + "0.065594 | \n", + "0.060832 | \n", + "-0.027825 | \n", + "-0.190747 | \n", + "1.000000 | \n", + "0.373587 | \n", + "0.160238 | \n", + "-0.099961 | \n", + "-0.009064 | \n", + "
| parch | \n", + "0.003584 | \n", + "0.018322 | \n", + "0.082660 | \n", + "-0.130872 | \n", + "0.373587 | \n", + "1.000000 | \n", + "0.221539 | \n", + "0.051099 | \n", + "0.036806 | \n", + "
| fare | \n", + "-0.481215 | \n", + "-0.558629 | \n", + "0.244265 | \n", + "0.171892 | \n", + "0.160238 | \n", + "0.221539 | \n", + "1.000000 | \n", + "-0.043110 | \n", + "0.507253 | \n", + "
| body | \n", + "0.015558 | \n", + "-0.034642 | \n", + "NaN | \n", + "0.059059 | \n", + "-0.099961 | \n", + "0.051099 | \n", + "-0.043110 | \n", + "1.000000 | \n", + "0.083796 | \n", + "
| has_cabin_number | \n", + "-0.603727 | \n", + "-0.713857 | \n", + "0.302250 | \n", + "0.271887 | \n", + "-0.009064 | \n", + "0.036806 | \n", + "0.507253 | \n", + "0.083796 | \n", + "1.000000 | \n", + "
"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "7wMWCkE1RZpM",
+ "colab_type": "text"
+ },
+ "source": [
+ "# Vertical Line Test"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "W0-g7aprRv2j",
+ "colab_type": "text"
+ },
+ "source": [
+ "## 1.1 Create two graphs, one that passes the vertical line test and one that does not."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "X8l4O4OaG3_d",
+ "colab_type": "code",
+ "colab": {}
+ },
+ "source": [
+ "import matplotlib.pyplot as plt\n"
+ ],
+ "execution_count": 35,
+ "outputs": []
+ },
+ {
+ "cell_type": "code",
+ "metadata": {
+ "id": "fIJhCtF6RW_U",
+ "colab_type": "code",
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 282
+ },
+ "outputId": "c52381c9-c372-48c6-96af-7114d2af0755"
+ },
+ "source": [
+ "plt.plot([0,1],[0,1])"
+ ],
+ "execution_count": 36,
+ "outputs": [
+ {
+ "output_type": "execute_result",
+ "data": {
+ "text/plain": [
+ "[| \n", + " | CONTROL | \n", + "AGE1 | \n", + "METRO3 | \n", + "REGION | \n", + "LMED | \n", + "FMR | \n", + "L30 | \n", + "L50 | \n", + "L80 | \n", + "IPOV | \n", + "BEDRMS | \n", + "BUILT | \n", + "STATUS | \n", + "TYPE | \n", + "VALUE | \n", + "VACANCY | \n", + "TENURE | \n", + "NUNITS | \n", + "ROOMS | \n", + "WEIGHT | \n", + "PER | \n", + "ZINC2 | \n", + "ZADEQ | \n", + "ZSMHC | \n", + "STRUCTURETYPE | \n", + "OWNRENT | \n", + "UTILITY | \n", + "OTHERCOST | \n", + "COST06 | \n", + "COST12 | \n", + "COST08 | \n", + "COSTMED | \n", + "TOTSAL | \n", + "ASSISTED | \n", + "GLMED | \n", + "GL30 | \n", + "GL50 | \n", + "GL80 | \n", + "APLMED | \n", + "ABL30 | \n", + "... | \n", + "COST08RELPOVCAT | \n", + "COST08RELFMRPCT | \n", + "COST08RELFMRCAT | \n", + "COST12RELAMIPCT | \n", + "COST12RELAMICAT | \n", + "COST12RELPOVPCT | \n", + "COST12RELPOVCAT | \n", + "COST12RELFMRPCT | \n", + "COST12RELFMRCAT | \n", + "COSTMedRELAMIPCT | \n", + "COSTMedRELAMICAT | \n", + "COSTMedRELPOVPCT | \n", + "COSTMedRELPOVCAT | \n", + "COSTMedRELFMRPCT | \n", + "COSTMedRELFMRCAT | \n", + "FMTZADEQ | \n", + "FMTMETRO3 | \n", + "FMTBUILT | \n", + "FMTSTRUCTURETYPE | \n", + "FMTBEDRMS | \n", + "FMTOWNRENT | \n", + "FMTCOST06RELPOVCAT | \n", + "FMTCOST08RELPOVCAT | \n", + "FMTCOST12RELPOVCAT | \n", + "FMTCOSTMEDRELPOVCAT | \n", + "FMTINCRELPOVCAT | \n", + "FMTCOST06RELFMRCAT | \n", + "FMTCOST08RELFMRCAT | \n", + "FMTCOST12RELFMRCAT | \n", + "FMTCOSTMEDRELFMRCAT | \n", + "FMTINCRELFMRCAT | \n", + "FMTCOST06RELAMICAT | \n", + "FMTCOST08RELAMICAT | \n", + "FMTCOST12RELAMICAT | \n", + "FMTCOSTMEDRELAMICAT | \n", + "FMTINCRELAMICAT | \n", + "FMTASSISTED | \n", + "FMTBURDEN | \n", + "FMTREGION | \n", + "FMTSTATUS | \n", + "
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | \n", + "'100003130103' | \n", + "82 | \n", + "'3' | \n", + "'1' | \n", + "73738 | \n", + "956 | \n", + "15738 | \n", + "26213 | \n", + "40322 | \n", + "11067 | \n", + "2 | \n", + "2006 | \n", + "'1' | \n", + "1 | \n", + "40000 | \n", + "-6 | \n", + "'1' | \n", + "1 | \n", + "6 | \n", + "3117.394239 | \n", + "1 | \n", + "18021 | \n", + "'1' | \n", + "533 | \n", + "1 | \n", + "'1' | \n", + "169.000000 | \n", + "213.750000 | \n", + "648.588189 | \n", + "803.050535 | \n", + "696.905247 | \n", + "615.156712 | \n", + "0 | \n", + "-9 | \n", + "73738 | \n", + "15738 | \n", + "26213 | \n", + "40322 | \n", + "51616.6 | \n", + "20234.571429 | \n", + "... | \n", + "4 | \n", + "72.898038 | \n", + "2 | \n", + "48.402635 | \n", + "2 | \n", + "290.250487 | \n", + "4 | \n", + "84.001102 | \n", + "2 | \n", + "37.077624 | \n", + "2 | \n", + "222.339102 | \n", + "4 | \n", + "64.346936 | \n", + "2 | \n", + "'1 Adequate' | \n", + "'-5' | \n", + "'2000-2009' | \n", + "'1 Single Family' | \n", + "'2 2BR' | \n", + "'1 Owner' | \n", + "'4 200%+ Poverty' | \n", + "'4 200%+ Poverty' | \n", + "'4 200%+ Poverty' | \n", + "'4 200%+ Poverty' | \n", + "'3 150-200% Poverty' | \n", + "'2 50.1 - 100% FMR' | \n", + "'2 50.1 - 100% FMR' | \n", + "'2 50.1 - 100% FMR' | \n", + "'2 50.1 - 100% FMR' | \n", + "'1 LTE 50% FMR' | \n", + "'2 30 - 50% AMI' | \n", + "'2 30 - 50% AMI' | \n", + "'2 30 - 50% AMI' | \n", + "'2 30 - 50% AMI' | \n", + "'2 30 - 50% AMI' | \n", + "'.' | \n", + "'2 30% to 50%' | \n", + "'-5' | \n", + "'-5' | \n", + "
| 1 | \n", + "'100006110249' | \n", + "50 | \n", + "'5' | \n", + "'3' | \n", + "55846 | \n", + "1100 | \n", + "17165 | \n", + "28604 | \n", + "45744 | \n", + "24218 | \n", + "4 | \n", + "1980 | \n", + "'1' | \n", + "1 | \n", + "130000 | \n", + "-6 | \n", + "'1' | \n", + "1 | \n", + "6 | \n", + "2150.725544 | \n", + "4 | \n", + "122961 | \n", + "'1' | \n", + "487 | \n", + "1 | \n", + "'1' | \n", + "245.333333 | \n", + "58.333333 | \n", + "1167.640781 | \n", + "1669.643405 | \n", + "1324.671218 | \n", + "1058.988479 | \n", + "123000 | \n", + "-9 | \n", + "55846 | \n", + "17165 | \n", + "28604 | \n", + "45744 | \n", + "55846.0 | \n", + "19911.400000 | \n", + "... | \n", + "4 | \n", + "120.424656 | \n", + "3 | \n", + "103.094063 | \n", + "6 | \n", + "275.768999 | \n", + "4 | \n", + "151.785764 | \n", + "3 | \n", + "65.388468 | \n", + "4 | \n", + "174.909320 | \n", + "3 | \n", + "96.271680 | \n", + "2 | \n", + "'1 Adequate' | \n", + "'-5' | \n", + "'1980-1989' | \n", + "'1 Single Family' | \n", + "'4 4BR+' | \n", + "'1 Owner' | \n", + "'3 150-200% Poverty' | \n", + "'4 200%+ Poverty' | \n", + "'4 200%+ Poverty' | \n", + "'3 150-200% Poverty' | \n", + "'4 200%+ Poverty' | \n", + "'3 GT FMR' | \n", + "'3 GT FMR' | \n", + "'3 GT FMR' | \n", + "'2 50.1 - 100% FMR' | \n", + "'3 GT FMR' | \n", + "'4 60 - 80% AMI' | \n", + "'4 60 - 80% AMI' | \n", + "'6 100 - 120% AMI' | \n", + "'4 60 - 80% AMI' | \n", + "'7 120% AMI +' | \n", + "'.' | \n", + "'1 Less than 30%' | \n", + "'-5' | \n", + "'-5' | \n", + "
| 2 | \n", + "'100006370140' | \n", + "53 | \n", + "'5' | \n", + "'3' | \n", + "55846 | \n", + "1100 | \n", + "13750 | \n", + "22897 | \n", + "36614 | \n", + "15470 | \n", + "4 | \n", + "1985 | \n", + "'1' | \n", + "1 | \n", + "150000 | \n", + "-6 | \n", + "'1' | \n", + "1 | \n", + "7 | \n", + "2213.789404 | \n", + "2 | \n", + "27974 | \n", + "'1' | \n", + "1405 | \n", + "1 | \n", + "'1' | \n", + "159.000000 | \n", + "37.500000 | \n", + "1193.393209 | \n", + "1772.627006 | \n", + "1374.582175 | \n", + "1068.025168 | \n", + "28000 | \n", + "-9 | \n", + "55846 | \n", + "13750 | \n", + "22897 | \n", + "36614 | \n", + "44676.8 | \n", + "19937.500000 | \n", + "... | \n", + "4 | \n", + "124.962016 | \n", + "3 | \n", + "109.452905 | \n", + "6 | \n", + "458.339239 | \n", + "4 | \n", + "161.147910 | \n", + "3 | \n", + "65.946449 | \n", + "4 | \n", + "276.153890 | \n", + "4 | \n", + "97.093197 | \n", + "2 | \n", + "'1 Adequate' | \n", + "'-5' | \n", + "'1980-1989' | \n", + "'1 Single Family' | \n", + "'4 4BR+' | \n", + "'1 Owner' | \n", + "'4 200%+ Poverty' | \n", + "'4 200%+ Poverty' | \n", + "'4 200%+ Poverty' | \n", + "'4 200%+ Poverty' | \n", + "'3 150-200% Poverty' | \n", + "'3 GT FMR' | \n", + "'3 GT FMR' | \n", + "'3 GT FMR' | \n", + "'2 50.1 - 100% FMR' | \n", + "'2 50.1 - 100% FMR' | \n", + "'4 60 - 80% AMI' | \n", + "'5 80 - 100% AMI' | \n", + "'6 100 - 120% AMI' | \n", + "'4 60 - 80% AMI' | \n", + "'4 60 - 80% AMI' | \n", + "'.' | \n", + "'3 50% or More' | \n", + "'-5' | \n", + "'-5' | \n", + "
| 3 | \n", + "'100006520140' | \n", + "67 | \n", + "'5' | \n", + "'3' | \n", + "55846 | \n", + "949 | \n", + "13750 | \n", + "22897 | \n", + "36614 | \n", + "13964 | \n", + "3 | \n", + "1985 | \n", + "'1' | \n", + "1 | \n", + "200000 | \n", + "-6 | \n", + "'1' | \n", + "1 | \n", + "6 | \n", + "2364.585097 | \n", + "2 | \n", + "32220 | \n", + "'1' | \n", + "279 | \n", + "1 | \n", + "'1' | \n", + "179.000000 | \n", + "70.666667 | \n", + "1578.857612 | \n", + "2351.169341 | \n", + "1820.442900 | \n", + "1411.700224 | \n", + "0 | \n", + "-9 | \n", + "55846 | \n", + "13750 | \n", + "22897 | \n", + "36614 | \n", + "44676.8 | \n", + "17875.000000 | \n", + "... | \n", + "4 | \n", + "191.827492 | \n", + "3 | \n", + "161.926709 | \n", + "7 | \n", + "673.494512 | \n", + "4 | \n", + "247.752301 | \n", + "3 | \n", + "97.224801 | \n", + "5 | \n", + "404.382763 | \n", + "4 | \n", + "148.756610 | \n", + "3 | \n", + "'1 Adequate' | \n", + "'-5' | \n", + "'1980-1989' | \n", + "'1 Single Family' | \n", + "'3 3BR' | \n", + "'1 Owner' | \n", + "'4 200%+ Poverty' | \n", + "'4 200%+ Poverty' | \n", + "'4 200%+ Poverty' | \n", + "'4 200%+ Poverty' | \n", + "'4 200%+ Poverty' | \n", + "'3 GT FMR' | \n", + "'3 GT FMR' | \n", + "'3 GT FMR' | \n", + "'3 GT FMR' | \n", + "'2 50.1 - 100% FMR' | \n", + "'6 100 - 120% AMI' | \n", + "'7 120% AMI +' | \n", + "'7 120% AMI +' | \n", + "'5 80 - 100% AMI' | \n", + "'4 60 - 80% AMI' | \n", + "'.' | \n", + "'1 Less than 30%' | \n", + "'-5' | \n", + "'-5' | \n", + "
| 4 | \n", + "'100007130148' | \n", + "26 | \n", + "'1' | \n", + "'3' | \n", + "60991 | \n", + "737 | \n", + "14801 | \n", + "24628 | \n", + "39421 | \n", + "15492 | \n", + "2 | \n", + "1980 | \n", + "'1' | \n", + "1 | \n", + "-6 | \n", + "-6 | \n", + "'2' | \n", + "100 | \n", + "4 | \n", + "2314.524902 | \n", + "2 | \n", + "96874 | \n", + "'1' | \n", + "759 | \n", + "5 | \n", + "'2' | \n", + "146.000000 | \n", + "12.500000 | \n", + "759.000000 | \n", + "759.000000 | \n", + "759.000000 | \n", + "759.000000 | \n", + "96900 | \n", + "0 | \n", + "60991 | \n", + "14801 | \n", + "24628 | \n", + "39421 | \n", + "48792.8 | \n", + "16651.125000 | \n", + "... | \n", + "3 | \n", + "102.985075 | \n", + "3 | \n", + "55.308707 | \n", + "3 | \n", + "195.972115 | \n", + "3 | \n", + "102.985075 | \n", + "3 | \n", + "55.308707 | \n", + "3 | \n", + "195.972115 | \n", + "3 | \n", + "102.985075 | \n", + "3 | \n", + "'1 Adequate' | \n", + "'Central City' | \n", + "'1980-1989' | \n", + "'5 50+ units' | \n", + "'2 2BR' | \n", + "'2 Renter' | \n", + "'3 150-200% Poverty' | \n", + "'3 150-200% Poverty' | \n", + "'3 150-200% Poverty' | \n", + "'3 150-200% Poverty' | \n", + "'4 200%+ Poverty' | \n", + "'3 GT FMR' | \n", + "'3 GT FMR' | \n", + "'3 GT FMR' | \n", + "'3 GT FMR' | \n", + "'3 GT FMR' | \n", + "'3 50 - 60% AMI' | \n", + "'3 50 - 60% AMI' | \n", + "'3 50 - 60% AMI' | \n", + "'3 50 - 60% AMI' | \n", + "'7 120% AMI +' | \n", + "'0 Not Assisted' | \n", + "'1 Less than 30%' | \n", + "'-5' | \n", + "'-5' | \n", + "
5 rows × 99 columns
\n", + "| \n", + " | CONTROL | \n", + "AGE1 | \n", + "METRO3 | \n", + "REGION | \n", + "LMED | \n", + "FMR | \n", + "L30 | \n", + "L50 | \n", + "L80 | \n", + "IPOV | \n", + "BEDRMS | \n", + "BUILT | \n", + "STATUS | \n", + "TYPE | \n", + "VALUE | \n", + "VACANCY | \n", + "TENURE | \n", + "NUNITS | \n", + "ROOMS | \n", + "WEIGHT | \n", + "PER | \n", + "ZINC2 | \n", + "ZADEQ | \n", + "ZSMHC | \n", + "STRUCTURETYPE | \n", + "OWNRENT | \n", + "UTILITY | \n", + "OTHERCOST | \n", + "COST06 | \n", + "COST12 | \n", + "COST08 | \n", + "COSTMED | \n", + "TOTSAL | \n", + "ASSISTED | \n", + "GLMED | \n", + "GL30 | \n", + "GL50 | \n", + "GL80 | \n", + "APLMED | \n", + "ABL30 | \n", + "... | \n", + "COST08RELPOVCAT | \n", + "COST08RELFMRPCT | \n", + "COST08RELFMRCAT | \n", + "COST12RELAMIPCT | \n", + "COST12RELAMICAT | \n", + "COST12RELPOVPCT | \n", + "COST12RELPOVCAT | \n", + "COST12RELFMRPCT | \n", + "COST12RELFMRCAT | \n", + "COSTMedRELAMIPCT | \n", + "COSTMedRELAMICAT | \n", + "COSTMedRELPOVPCT | \n", + "COSTMedRELPOVCAT | \n", + "COSTMedRELFMRPCT | \n", + "COSTMedRELFMRCAT | \n", + "FMTZADEQ | \n", + "FMTMETRO3 | \n", + "FMTBUILT | \n", + "FMTSTRUCTURETYPE | \n", + "FMTBEDRMS | \n", + "FMTOWNRENT | \n", + "FMTCOST06RELPOVCAT | \n", + "FMTCOST08RELPOVCAT | \n", + "FMTCOST12RELPOVCAT | \n", + "FMTCOSTMEDRELPOVCAT | \n", + "FMTINCRELPOVCAT | \n", + "FMTCOST06RELFMRCAT | \n", + "FMTCOST08RELFMRCAT | \n", + "FMTCOST12RELFMRCAT | \n", + "FMTCOSTMEDRELFMRCAT | \n", + "FMTINCRELFMRCAT | \n", + "FMTCOST06RELAMICAT | \n", + "FMTCOST08RELAMICAT | \n", + "FMTCOST12RELAMICAT | \n", + "FMTCOSTMEDRELAMICAT | \n", + "FMTINCRELAMICAT | \n", + "FMTASSISTED | \n", + "FMTBURDEN | \n", + "FMTREGION | \n", + "FMTSTATUS | \n", + "
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | \n", + "0 | \n", + "82 | \n", + "2 | \n", + "0 | \n", + "73738 | \n", + "956 | \n", + "15738 | \n", + "26213 | \n", + "40322 | \n", + "11067 | \n", + "2 | \n", + "2006 | \n", + "0 | \n", + "1 | \n", + "40000 | \n", + "-6 | \n", + "1 | \n", + "1 | \n", + "6 | \n", + "3117.394239 | \n", + "1 | \n", + "18021 | \n", + "1 | \n", + "533 | \n", + "1 | \n", + "0 | \n", + "169.000000 | \n", + "213.750000 | \n", + "648.588189 | \n", + "803.050535 | \n", + "696.905247 | \n", + "615.156712 | \n", + "0 | \n", + "-9 | \n", + "73738 | \n", + "15738 | \n", + "26213 | \n", + "40322 | \n", + "51616.6 | \n", + "20234.571429 | \n", + "... | \n", + "4 | \n", + "72.898038 | \n", + "2 | \n", + "48.402635 | \n", + "2 | \n", + "290.250487 | \n", + "4 | \n", + "84.001102 | \n", + "2 | \n", + "37.077624 | \n", + "2 | \n", + "222.339102 | \n", + "4 | \n", + "64.346936 | \n", + "2 | \n", + "1 | \n", + "0 | \n", + "5 | \n", + "1 | \n", + "2 | \n", + "0 | \n", + "4 | \n", + "4 | \n", + "4 | \n", + "4 | \n", + "3 | \n", + "1 | \n", + "1 | \n", + "1 | \n", + "1 | \n", + "1 | \n", + "1 | \n", + "1 | \n", + "1 | \n", + "1 | \n", + "2 | \n", + "0 | \n", + "2 | \n", + "0 | \n", + "0 | \n", + "
| 1 | \n", + "1 | \n", + "50 | \n", + "4 | \n", + "2 | \n", + "55846 | \n", + "1100 | \n", + "17165 | \n", + "28604 | \n", + "45744 | \n", + "24218 | \n", + "4 | \n", + "1980 | \n", + "0 | \n", + "1 | \n", + "130000 | \n", + "-6 | \n", + "1 | \n", + "1 | \n", + "6 | \n", + "2150.725544 | \n", + "4 | \n", + "122961 | \n", + "1 | \n", + "487 | \n", + "1 | \n", + "0 | \n", + "245.333333 | \n", + "58.333333 | \n", + "1167.640781 | \n", + "1669.643405 | \n", + "1324.671218 | \n", + "1058.988479 | \n", + "123000 | \n", + "-9 | \n", + "55846 | \n", + "17165 | \n", + "28604 | \n", + "45744 | \n", + "55846.0 | \n", + "19911.400000 | \n", + "... | \n", + "4 | \n", + "120.424656 | \n", + "3 | \n", + "103.094063 | \n", + "6 | \n", + "275.768999 | \n", + "4 | \n", + "151.785764 | \n", + "3 | \n", + "65.388468 | \n", + "4 | \n", + "174.909320 | \n", + "3 | \n", + "96.271680 | \n", + "2 | \n", + "1 | \n", + "0 | \n", + "3 | \n", + "1 | \n", + "4 | \n", + "0 | \n", + "3 | \n", + "4 | \n", + "4 | \n", + "3 | \n", + "4 | \n", + "2 | \n", + "2 | \n", + "2 | \n", + "1 | \n", + "3 | \n", + "3 | \n", + "3 | \n", + "5 | \n", + "3 | \n", + "7 | \n", + "0 | \n", + "1 | \n", + "0 | \n", + "0 | \n", + "
| 2 | \n", + "2 | \n", + "53 | \n", + "4 | \n", + "2 | \n", + "55846 | \n", + "1100 | \n", + "13750 | \n", + "22897 | \n", + "36614 | \n", + "15470 | \n", + "4 | \n", + "1985 | \n", + "0 | \n", + "1 | \n", + "150000 | \n", + "-6 | \n", + "1 | \n", + "1 | \n", + "7 | \n", + "2213.789404 | \n", + "2 | \n", + "27974 | \n", + "1 | \n", + "1405 | \n", + "1 | \n", + "0 | \n", + "159.000000 | \n", + "37.500000 | \n", + "1193.393209 | \n", + "1772.627006 | \n", + "1374.582175 | \n", + "1068.025168 | \n", + "28000 | \n", + "-9 | \n", + "55846 | \n", + "13750 | \n", + "22897 | \n", + "36614 | \n", + "44676.8 | \n", + "19937.500000 | \n", + "... | \n", + "4 | \n", + "124.962016 | \n", + "3 | \n", + "109.452905 | \n", + "6 | \n", + "458.339239 | \n", + "4 | \n", + "161.147910 | \n", + "3 | \n", + "65.946449 | \n", + "4 | \n", + "276.153890 | \n", + "4 | \n", + "97.093197 | \n", + "2 | \n", + "1 | \n", + "0 | \n", + "3 | \n", + "1 | \n", + "4 | \n", + "0 | \n", + "4 | \n", + "4 | \n", + "4 | \n", + "4 | \n", + "3 | \n", + "2 | \n", + "2 | \n", + "2 | \n", + "1 | \n", + "2 | \n", + "3 | \n", + "4 | \n", + "5 | \n", + "3 | \n", + "4 | \n", + "0 | \n", + "3 | \n", + "0 | \n", + "0 | \n", + "
| 3 | \n", + "3 | \n", + "67 | \n", + "4 | \n", + "2 | \n", + "55846 | \n", + "949 | \n", + "13750 | \n", + "22897 | \n", + "36614 | \n", + "13964 | \n", + "3 | \n", + "1985 | \n", + "0 | \n", + "1 | \n", + "200000 | \n", + "-6 | \n", + "1 | \n", + "1 | \n", + "6 | \n", + "2364.585097 | \n", + "2 | \n", + "32220 | \n", + "1 | \n", + "279 | \n", + "1 | \n", + "0 | \n", + "179.000000 | \n", + "70.666667 | \n", + "1578.857612 | \n", + "2351.169341 | \n", + "1820.442900 | \n", + "1411.700224 | \n", + "0 | \n", + "-9 | \n", + "55846 | \n", + "13750 | \n", + "22897 | \n", + "36614 | \n", + "44676.8 | \n", + "17875.000000 | \n", + "... | \n", + "4 | \n", + "191.827492 | \n", + "3 | \n", + "161.926709 | \n", + "7 | \n", + "673.494512 | \n", + "4 | \n", + "247.752301 | \n", + "3 | \n", + "97.224801 | \n", + "5 | \n", + "404.382763 | \n", + "4 | \n", + "148.756610 | \n", + "3 | \n", + "1 | \n", + "0 | \n", + "3 | \n", + "1 | \n", + "3 | \n", + "0 | \n", + "4 | \n", + "4 | \n", + "4 | \n", + "4 | \n", + "4 | \n", + "2 | \n", + "2 | \n", + "2 | \n", + "2 | \n", + "2 | \n", + "5 | \n", + "6 | \n", + "6 | \n", + "4 | \n", + "4 | \n", + "0 | \n", + "1 | \n", + "0 | \n", + "0 | \n", + "
| 4 | \n", + "4 | \n", + "26 | \n", + "0 | \n", + "2 | \n", + "60991 | \n", + "737 | \n", + "14801 | \n", + "24628 | \n", + "39421 | \n", + "15492 | \n", + "2 | \n", + "1980 | \n", + "0 | \n", + "1 | \n", + "-6 | \n", + "-6 | \n", + "2 | \n", + "100 | \n", + "4 | \n", + "2314.524902 | \n", + "2 | \n", + "96874 | \n", + "1 | \n", + "759 | \n", + "5 | \n", + "1 | \n", + "146.000000 | \n", + "12.500000 | \n", + "759.000000 | \n", + "759.000000 | \n", + "759.000000 | \n", + "759.000000 | \n", + "96900 | \n", + "0 | \n", + "60991 | \n", + "14801 | \n", + "24628 | \n", + "39421 | \n", + "48792.8 | \n", + "16651.125000 | \n", + "... | \n", + "3 | \n", + "102.985075 | \n", + "3 | \n", + "55.308707 | \n", + "3 | \n", + "195.972115 | \n", + "3 | \n", + "102.985075 | \n", + "3 | \n", + "55.308707 | \n", + "3 | \n", + "195.972115 | \n", + "3 | \n", + "102.985075 | \n", + "3 | \n", + "1 | \n", + "1 | \n", + "3 | \n", + "5 | \n", + "2 | \n", + "1 | \n", + "3 | \n", + "3 | \n", + "3 | \n", + "3 | \n", + "4 | \n", + "2 | \n", + "2 | \n", + "2 | \n", + "2 | \n", + "3 | \n", + "2 | \n", + "2 | \n", + "2 | \n", + "2 | \n", + "7 | \n", + "1 | \n", + "1 | \n", + "0 | \n", + "0 | \n", + "
5 rows × 99 columns
\n", + "| \n", + " | PC1 | \n", + "PC2 | \n", + "PC3 | \n", + "PC4 | \n", + "PC5 | \n", + "PC6 | \n", + "PC7 | \n", + "PC8 | \n", + "PC9 | \n", + "PC10 | \n", + "PC11 | \n", + "PC12 | \n", + "PC13 | \n", + "PC14 | \n", + "PC15 | \n", + "PC16 | \n", + "PC17 | \n", + "PC18 | \n", + "PC19 | \n", + "PC20 | \n", + "PC21 | \n", + "PC22 | \n", + "PC23 | \n", + "PC24 | \n", + "PC25 | \n", + "PC26 | \n", + "PC27 | \n", + "PC28 | \n", + "PC29 | \n", + "PC30 | \n", + "PC31 | \n", + "PC32 | \n", + "PC33 | \n", + "PC34 | \n", + "PC35 | \n", + "PC36 | \n", + "PC37 | \n", + "PC38 | \n", + "PC39 | \n", + "PC40 | \n", + "... | \n", + "PC60 | \n", + "PC61 | \n", + "PC62 | \n", + "PC63 | \n", + "PC64 | \n", + "PC65 | \n", + "PC66 | \n", + "PC67 | \n", + "PC68 | \n", + "PC69 | \n", + "PC70 | \n", + "PC71 | \n", + "PC72 | \n", + "PC73 | \n", + "PC74 | \n", + "PC75 | \n", + "PC76 | \n", + "PC77 | \n", + "PC78 | \n", + "PC79 | \n", + "PC80 | \n", + "PC81 | \n", + "PC82 | \n", + "PC83 | \n", + "PC84 | \n", + "PC85 | \n", + "PC86 | \n", + "PC87 | \n", + "PC88 | \n", + "PC89 | \n", + "PC90 | \n", + "PC91 | \n", + "PC92 | \n", + "PC93 | \n", + "PC94 | \n", + "PC95 | \n", + "PC96 | \n", + "PC97 | \n", + "PC98 | \n", + "PC99 | \n", + "
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | \n", + "-2.576570 | \n", + "-1.376127 | \n", + "-1.253835 | \n", + "-0.619882 | \n", + "1.592855 | \n", + "-2.529629 | \n", + "-1.024384 | \n", + "2.038971 | \n", + "0.743631 | \n", + "-0.981357 | \n", + "-0.958024 | \n", + "-0.983633 | \n", + "-0.124320 | \n", + "2.130272 | \n", + "-0.232511 | \n", + "-1.259668 | \n", + "-1.811215 | \n", + "0.800230 | \n", + "0.157496 | \n", + "0.057891 | \n", + "0.076233 | \n", + "-0.303851 | \n", + "0.234631 | \n", + "0.311692 | \n", + "1.414847 | \n", + "0.665575 | \n", + "0.206075 | \n", + "0.297168 | \n", + "-0.885343 | \n", + "-1.100812 | \n", + "0.017568 | \n", + "-0.296827 | \n", + "-0.045226 | \n", + "0.328718 | \n", + "-0.227059 | \n", + "-0.206567 | \n", + "0.105183 | \n", + "0.209632 | \n", + "-0.452949 | \n", + "0.487132 | \n", + "... | \n", + "-0.022755 | \n", + "-0.005380 | \n", + "0.017097 | \n", + "0.017509 | \n", + "0.007771 | \n", + "-0.001771 | \n", + "-0.005635 | \n", + "0.002438 | \n", + "0.000044 | \n", + "-1.555674e-12 | \n", + "-2.275710e-12 | \n", + "-7.244823e-12 | \n", + "-2.792285e-12 | \n", + "1.391321e-13 | \n", + "2.899610e-12 | \n", + "-1.398466e-12 | \n", + "5.030034e-12 | \n", + "-1.453494e-12 | \n", + "-7.971580e-15 | \n", + "-8.595370e-16 | \n", + "1.397316e-15 | \n", + "-4.201700e-15 | \n", + "-2.629575e-15 | \n", + "1.662437e-15 | \n", + "2.281487e-16 | \n", + "-8.200807e-15 | \n", + "7.638178e-15 | \n", + "2.129641e-15 | \n", + "1.126562e-15 | \n", + "4.763201e-15 | \n", + "-1.111901e-15 | \n", + "1.643459e-15 | \n", + "-2.481185e-15 | \n", + "1.627337e-15 | \n", + "4.206682e-16 | \n", + "2.517816e-15 | \n", + "4.136666e-15 | \n", + "6.081237e-15 | \n", + "-5.551242e-16 | \n", + "-7.942743e-16 | \n", + "
| 1 | \n", + "2.040643 | \n", + "-0.988061 | \n", + "-2.237999 | \n", + "-2.987403 | \n", + "2.160320 | \n", + "1.220875 | \n", + "1.076368 | \n", + "-0.681369 | \n", + "0.948055 | \n", + "-0.182382 | \n", + "-0.690309 | \n", + "0.670541 | \n", + "-0.312950 | \n", + "0.160716 | \n", + "0.063940 | \n", + "-0.032742 | \n", + "-1.310611 | \n", + "-0.029583 | \n", + "-0.320912 | \n", + "-1.213295 | \n", + "0.082541 | \n", + "-0.438037 | \n", + "-0.140961 | \n", + "-0.417153 | \n", + "0.129375 | \n", + "-0.373254 | \n", + "0.162462 | \n", + "0.426850 | \n", + "-0.294672 | \n", + "1.196620 | \n", + "0.034442 | \n", + "0.739189 | \n", + "-0.334534 | \n", + "-0.349723 | \n", + "-0.051191 | \n", + "0.107043 | \n", + "0.952603 | \n", + "0.199457 | \n", + "0.022768 | \n", + "0.199969 | \n", + "... | \n", + "-0.065489 | \n", + "0.030766 | \n", + "-0.021506 | \n", + "-0.014176 | \n", + "0.010088 | \n", + "0.000578 | \n", + "-0.010665 | \n", + "-0.002009 | \n", + "-0.000083 | \n", + "1.985665e-11 | \n", + "1.697024e-11 | \n", + "-1.820959e-11 | \n", + "-4.569093e-12 | \n", + "-8.943151e-12 | \n", + "-1.002888e-11 | \n", + "3.043135e-12 | \n", + "-1.867900e-12 | \n", + "-7.525301e-12 | \n", + "-1.236942e-13 | \n", + "-2.811725e-14 | \n", + "-2.859341e-15 | \n", + "-1.245108e-14 | \n", + "6.380007e-15 | \n", + "-3.271522e-14 | \n", + "6.700829e-14 | \n", + "3.538613e-14 | \n", + "-3.039974e-14 | \n", + "-1.604190e-14 | \n", + "-5.531218e-15 | \n", + "7.315701e-15 | \n", + "-9.227129e-15 | \n", + "-2.709105e-15 | \n", + "-3.293959e-15 | \n", + "4.693389e-15 | \n", + "-3.784732e-15 | \n", + "7.904892e-15 | \n", + "-1.024321e-14 | \n", + "-7.866356e-15 | \n", + "-6.322116e-16 | \n", + "-2.619343e-16 | \n", + "
| 2 | \n", + "1.215270 | \n", + "0.370168 | \n", + "-3.248606 | \n", + "-2.123899 | \n", + "1.229951 | \n", + "-2.559945 | \n", + "0.984291 | \n", + "0.088488 | \n", + "-0.209300 | \n", + "-0.715159 | \n", + "-0.243996 | \n", + "1.168680 | \n", + "-0.136100 | \n", + "0.491252 | \n", + "0.358669 | \n", + "-0.462415 | \n", + "-1.494570 | \n", + "0.114951 | \n", + "-0.160159 | \n", + "-0.889462 | \n", + "0.678651 | \n", + "-0.002222 | \n", + "0.162761 | \n", + "-0.738769 | \n", + "-0.844579 | \n", + "0.332651 | \n", + "-0.014602 | \n", + "0.525549 | \n", + "-0.134705 | \n", + "0.832489 | \n", + "-0.366875 | \n", + "0.429854 | \n", + "-0.639612 | \n", + "-0.112777 | \n", + "-0.114059 | \n", + "0.258893 | \n", + "0.974611 | \n", + "0.167855 | \n", + "0.177374 | \n", + "-0.033658 | \n", + "... | \n", + "-0.037108 | \n", + "0.019828 | \n", + "-0.032203 | \n", + "0.003294 | \n", + "0.006182 | \n", + "0.000272 | \n", + "-0.008307 | \n", + "0.000210 | \n", + "0.000053 | \n", + "-3.011104e-11 | \n", + "-3.448156e-11 | \n", + "-2.696771e-12 | \n", + "-1.342672e-11 | \n", + "3.055270e-11 | \n", + "-1.853116e-11 | \n", + "6.526787e-12 | \n", + "1.171080e-11 | \n", + "2.918130e-11 | \n", + "1.978506e-14 | \n", + "-6.917647e-15 | \n", + "-8.690510e-15 | \n", + "3.585682e-15 | \n", + "-4.658132e-15 | \n", + "-8.145799e-15 | \n", + "-4.673181e-16 | \n", + "-5.639147e-15 | \n", + "-2.337729e-15 | \n", + "-5.838861e-15 | \n", + "2.205696e-15 | \n", + "-2.530473e-15 | \n", + "-4.543976e-16 | \n", + "-6.528784e-15 | \n", + "-2.303640e-15 | \n", + "-2.500232e-15 | \n", + "2.893038e-15 | \n", + "2.086186e-15 | \n", + "1.598883e-15 | \n", + "3.318875e-15 | \n", + "8.989284e-16 | \n", + "-3.788372e-17 | \n", + "
| 3 | \n", + "2.821837 | \n", + "1.723711 | \n", + "-4.375157 | \n", + "-1.479343 | \n", + "0.085327 | \n", + "-1.755050 | \n", + "0.710440 | \n", + "-0.064843 | \n", + "0.487051 | \n", + "-0.175074 | \n", + "-0.947811 | \n", + "0.273949 | \n", + "-0.083829 | \n", + "-0.606772 | \n", + "-0.058791 | \n", + "0.293943 | \n", + "-1.319074 | \n", + "1.225816 | \n", + "-0.688633 | \n", + "-0.437567 | \n", + "-0.155818 | \n", + "-0.934189 | \n", + "0.070781 | \n", + "0.082882 | \n", + "0.259157 | \n", + "-0.305200 | \n", + "-0.157419 | \n", + "0.136505 | \n", + "-0.678651 | \n", + "0.363593 | \n", + "-0.497262 | \n", + "0.453585 | \n", + "0.099106 | \n", + "0.302715 | \n", + "-0.319196 | \n", + "0.502472 | \n", + "-0.056209 | \n", + "0.043986 | \n", + "0.284494 | \n", + "0.152548 | \n", + "... | \n", + "0.051131 | \n", + "-0.016479 | \n", + "0.032716 | \n", + "-0.001735 | \n", + "-0.006142 | \n", + "-0.000083 | \n", + "0.003233 | \n", + "0.000369 | \n", + "0.000047 | \n", + "1.570527e-11 | \n", + "-2.956002e-11 | \n", + "-4.246039e-11 | \n", + "-3.625665e-11 | \n", + "-3.904595e-11 | \n", + "-8.910011e-12 | \n", + "2.530238e-12 | \n", + "7.069996e-12 | \n", + "3.740412e-13 | \n", + "8.286938e-15 | \n", + "6.592696e-16 | \n", + "-1.280837e-15 | \n", + "9.213680e-16 | \n", + "-3.869037e-17 | \n", + "1.861092e-16 | \n", + "-3.535306e-16 | \n", + "2.137629e-15 | \n", + "-3.969571e-16 | \n", + "-1.665115e-15 | \n", + "2.604798e-15 | \n", + "-3.388406e-15 | \n", + "3.325411e-16 | \n", + "-1.605029e-15 | \n", + "-2.185016e-15 | \n", + "-2.579443e-15 | \n", + "3.379958e-15 | \n", + "1.414309e-15 | \n", + "-3.038426e-15 | \n", + "-1.618005e-15 | \n", + "-2.137277e-16 | \n", + "-7.535854e-16 | \n", + "
| 4 | \n", + "-1.570106 | \n", + "-0.878362 | \n", + "-3.307062 | \n", + "0.785881 | \n", + "-2.310400 | \n", + "3.881736 | \n", + "-0.645952 | \n", + "0.464725 | \n", + "-0.092147 | \n", + "0.439502 | \n", + "0.680427 | \n", + "1.297333 | \n", + "-2.176527 | \n", + "0.873973 | \n", + "-1.258729 | \n", + "0.078789 | \n", + "-1.274484 | \n", + "-1.278863 | \n", + "-0.049121 | \n", + "-1.107579 | \n", + "-1.315707 | \n", + "0.183007 | \n", + "-0.463981 | \n", + "-0.126541 | \n", + "-0.632876 | \n", + "-0.490356 | \n", + "0.227040 | \n", + "0.448714 | \n", + "0.362058 | \n", + "0.192815 | \n", + "-0.061116 | \n", + "0.423652 | \n", + "0.060251 | \n", + "0.066255 | \n", + "0.087248 | \n", + "0.049826 | \n", + "-0.007892 | \n", + "-0.222354 | \n", + "-0.017775 | \n", + "0.482700 | \n", + "... | \n", + "0.029508 | \n", + "0.017652 | \n", + "-0.007901 | \n", + "0.005932 | \n", + "-0.008180 | \n", + "0.001159 | \n", + "0.004948 | \n", + "0.003858 | \n", + "-0.000114 | \n", + "-1.210293e-12 | \n", + "-7.386035e-13 | \n", + "1.444818e-12 | \n", + "-7.904880e-13 | \n", + "-9.223507e-14 | \n", + "-6.033953e-13 | \n", + "5.752033e-14 | \n", + "-3.907023e-13 | \n", + "8.020451e-13 | \n", + "-3.283658e-13 | \n", + "5.266361e-14 | \n", + "3.634224e-15 | \n", + "1.832897e-14 | \n", + "4.621295e-14 | \n", + "-3.589585e-14 | \n", + "-1.776807e-14 | \n", + "-2.737603e-14 | \n", + "-8.598189e-15 | \n", + "-3.794475e-14 | \n", + "-1.916136e-14 | \n", + "-8.228730e-15 | \n", + "-6.056303e-15 | \n", + "-1.204971e-14 | \n", + "-1.099331e-14 | \n", + "7.764073e-15 | \n", + "-3.602489e-15 | \n", + "9.824194e-15 | \n", + "3.711774e-15 | \n", + "5.388211e-15 | \n", + "-7.548762e-16 | \n", + "-5.272142e-17 | \n", + "
5 rows × 99 columns
\n", + "" + ], + "text/plain": [ + " PC1 PC2 PC3 ... PC97 PC98 PC99\n", + "0 -2.576570 -1.376127 -1.253835 ... 6.081237e-15 -5.551242e-16 -7.942743e-16\n", + "1 2.040643 -0.988061 -2.237999 ... -7.866356e-15 -6.322116e-16 -2.619343e-16\n", + "2 1.215270 0.370168 -3.248606 ... 3.318875e-15 8.989284e-16 -3.788372e-17\n", + "3 2.821837 1.723711 -4.375157 ... -1.618005e-15 -2.137277e-16 -7.535854e-16\n", + "4 -1.570106 -0.878362 -3.307062 ... 5.388211e-15 -7.548762e-16 -5.272142e-17\n", + "\n", + "[5 rows x 99 columns]" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 45 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "_AVv1TH-Mlqm", + "colab_type": "code", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 323 + }, + "outputId": "ea0c9f4b-68fd-4fdb-f009-e007c31e7f92" + }, + "source": [ + "national_processed = pd.concat([national_processed,new_features], axis=1)\n", + "national_processed.head()" + ], + "execution_count": 46, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/html": [ + "| \n", + " | CONTROL | \n", + "AGE1 | \n", + "METRO3 | \n", + "REGION | \n", + "LMED | \n", + "FMR | \n", + "L30 | \n", + "L50 | \n", + "L80 | \n", + "IPOV | \n", + "BEDRMS | \n", + "BUILT | \n", + "STATUS | \n", + "TYPE | \n", + "VALUE | \n", + "VACANCY | \n", + "TENURE | \n", + "NUNITS | \n", + "ROOMS | \n", + "WEIGHT | \n", + "PER | \n", + "ZINC2 | \n", + "ZADEQ | \n", + "ZSMHC | \n", + "STRUCTURETYPE | \n", + "OWNRENT | \n", + "UTILITY | \n", + "OTHERCOST | \n", + "COST06 | \n", + "COST12 | \n", + "COST08 | \n", + "COSTMED | \n", + "TOTSAL | \n", + "ASSISTED | \n", + "GLMED | \n", + "GL30 | \n", + "GL50 | \n", + "GL80 | \n", + "APLMED | \n", + "ABL30 | \n", + "... | \n", + "PC60 | \n", + "PC61 | \n", + "PC62 | \n", + "PC63 | \n", + "PC64 | \n", + "PC65 | \n", + "PC66 | \n", + "PC67 | \n", + "PC68 | \n", + "PC69 | \n", + "PC70 | \n", + "PC71 | \n", + "PC72 | \n", + "PC73 | \n", + "PC74 | \n", + "PC75 | \n", + "PC76 | \n", + "PC77 | \n", + "PC78 | \n", + "PC79 | \n", + "PC80 | \n", + "PC81 | \n", + "PC82 | \n", + "PC83 | \n", + "PC84 | \n", + "PC85 | \n", + "PC86 | \n", + "PC87 | \n", + "PC88 | \n", + "PC89 | \n", + "PC90 | \n", + "PC91 | \n", + "PC92 | \n", + "PC93 | \n", + "PC94 | \n", + "PC95 | \n", + "PC96 | \n", + "PC97 | \n", + "PC98 | \n", + "PC99 | \n", + "
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | \n", + "0 | \n", + "82 | \n", + "2 | \n", + "0 | \n", + "73738 | \n", + "956 | \n", + "15738 | \n", + "26213 | \n", + "40322 | \n", + "11067 | \n", + "2 | \n", + "2006 | \n", + "0 | \n", + "1 | \n", + "40000 | \n", + "-6 | \n", + "1 | \n", + "1 | \n", + "6 | \n", + "3117.394239 | \n", + "1 | \n", + "18021 | \n", + "1 | \n", + "533 | \n", + "1 | \n", + "0 | \n", + "169.000000 | \n", + "213.750000 | \n", + "648.588189 | \n", + "803.050535 | \n", + "696.905247 | \n", + "615.156712 | \n", + "0 | \n", + "-9 | \n", + "73738 | \n", + "15738 | \n", + "26213 | \n", + "40322 | \n", + "51616.6 | \n", + "20234.571429 | \n", + "... | \n", + "-0.022755 | \n", + "-0.005380 | \n", + "0.017097 | \n", + "0.017509 | \n", + "0.007771 | \n", + "-0.001771 | \n", + "-0.005635 | \n", + "0.002438 | \n", + "0.000044 | \n", + "-1.555674e-12 | \n", + "-2.275710e-12 | \n", + "-7.244823e-12 | \n", + "-2.792285e-12 | \n", + "1.391321e-13 | \n", + "2.899610e-12 | \n", + "-1.398466e-12 | \n", + "5.030034e-12 | \n", + "-1.453494e-12 | \n", + "-7.971580e-15 | \n", + "-8.595370e-16 | \n", + "1.397316e-15 | \n", + "-4.201700e-15 | \n", + "-2.629575e-15 | \n", + "1.662437e-15 | \n", + "2.281487e-16 | \n", + "-8.200807e-15 | \n", + "7.638178e-15 | \n", + "2.129641e-15 | \n", + "1.126562e-15 | \n", + "4.763201e-15 | \n", + "-1.111901e-15 | \n", + "1.643459e-15 | \n", + "-2.481185e-15 | \n", + "1.627337e-15 | \n", + "4.206682e-16 | \n", + "2.517816e-15 | \n", + "4.136666e-15 | \n", + "6.081237e-15 | \n", + "-5.551242e-16 | \n", + "-7.942743e-16 | \n", + "
| 1 | \n", + "1 | \n", + "50 | \n", + "4 | \n", + "2 | \n", + "55846 | \n", + "1100 | \n", + "17165 | \n", + "28604 | \n", + "45744 | \n", + "24218 | \n", + "4 | \n", + "1980 | \n", + "0 | \n", + "1 | \n", + "130000 | \n", + "-6 | \n", + "1 | \n", + "1 | \n", + "6 | \n", + "2150.725544 | \n", + "4 | \n", + "122961 | \n", + "1 | \n", + "487 | \n", + "1 | \n", + "0 | \n", + "245.333333 | \n", + "58.333333 | \n", + "1167.640781 | \n", + "1669.643405 | \n", + "1324.671218 | \n", + "1058.988479 | \n", + "123000 | \n", + "-9 | \n", + "55846 | \n", + "17165 | \n", + "28604 | \n", + "45744 | \n", + "55846.0 | \n", + "19911.400000 | \n", + "... | \n", + "-0.065489 | \n", + "0.030766 | \n", + "-0.021506 | \n", + "-0.014176 | \n", + "0.010088 | \n", + "0.000578 | \n", + "-0.010665 | \n", + "-0.002009 | \n", + "-0.000083 | \n", + "1.985665e-11 | \n", + "1.697024e-11 | \n", + "-1.820959e-11 | \n", + "-4.569093e-12 | \n", + "-8.943151e-12 | \n", + "-1.002888e-11 | \n", + "3.043135e-12 | \n", + "-1.867900e-12 | \n", + "-7.525301e-12 | \n", + "-1.236942e-13 | \n", + "-2.811725e-14 | \n", + "-2.859341e-15 | \n", + "-1.245108e-14 | \n", + "6.380007e-15 | \n", + "-3.271522e-14 | \n", + "6.700829e-14 | \n", + "3.538613e-14 | \n", + "-3.039974e-14 | \n", + "-1.604190e-14 | \n", + "-5.531218e-15 | \n", + "7.315701e-15 | \n", + "-9.227129e-15 | \n", + "-2.709105e-15 | \n", + "-3.293959e-15 | \n", + "4.693389e-15 | \n", + "-3.784732e-15 | \n", + "7.904892e-15 | \n", + "-1.024321e-14 | \n", + "-7.866356e-15 | \n", + "-6.322116e-16 | \n", + "-2.619343e-16 | \n", + "
| 2 | \n", + "2 | \n", + "53 | \n", + "4 | \n", + "2 | \n", + "55846 | \n", + "1100 | \n", + "13750 | \n", + "22897 | \n", + "36614 | \n", + "15470 | \n", + "4 | \n", + "1985 | \n", + "0 | \n", + "1 | \n", + "150000 | \n", + "-6 | \n", + "1 | \n", + "1 | \n", + "7 | \n", + "2213.789404 | \n", + "2 | \n", + "27974 | \n", + "1 | \n", + "1405 | \n", + "1 | \n", + "0 | \n", + "159.000000 | \n", + "37.500000 | \n", + "1193.393209 | \n", + "1772.627006 | \n", + "1374.582175 | \n", + "1068.025168 | \n", + "28000 | \n", + "-9 | \n", + "55846 | \n", + "13750 | \n", + "22897 | \n", + "36614 | \n", + "44676.8 | \n", + "19937.500000 | \n", + "... | \n", + "-0.037108 | \n", + "0.019828 | \n", + "-0.032203 | \n", + "0.003294 | \n", + "0.006182 | \n", + "0.000272 | \n", + "-0.008307 | \n", + "0.000210 | \n", + "0.000053 | \n", + "-3.011104e-11 | \n", + "-3.448156e-11 | \n", + "-2.696771e-12 | \n", + "-1.342672e-11 | \n", + "3.055270e-11 | \n", + "-1.853116e-11 | \n", + "6.526787e-12 | \n", + "1.171080e-11 | \n", + "2.918130e-11 | \n", + "1.978506e-14 | \n", + "-6.917647e-15 | \n", + "-8.690510e-15 | \n", + "3.585682e-15 | \n", + "-4.658132e-15 | \n", + "-8.145799e-15 | \n", + "-4.673181e-16 | \n", + "-5.639147e-15 | \n", + "-2.337729e-15 | \n", + "-5.838861e-15 | \n", + "2.205696e-15 | \n", + "-2.530473e-15 | \n", + "-4.543976e-16 | \n", + "-6.528784e-15 | \n", + "-2.303640e-15 | \n", + "-2.500232e-15 | \n", + "2.893038e-15 | \n", + "2.086186e-15 | \n", + "1.598883e-15 | \n", + "3.318875e-15 | \n", + "8.989284e-16 | \n", + "-3.788372e-17 | \n", + "
| 3 | \n", + "3 | \n", + "67 | \n", + "4 | \n", + "2 | \n", + "55846 | \n", + "949 | \n", + "13750 | \n", + "22897 | \n", + "36614 | \n", + "13964 | \n", + "3 | \n", + "1985 | \n", + "0 | \n", + "1 | \n", + "200000 | \n", + "-6 | \n", + "1 | \n", + "1 | \n", + "6 | \n", + "2364.585097 | \n", + "2 | \n", + "32220 | \n", + "1 | \n", + "279 | \n", + "1 | \n", + "0 | \n", + "179.000000 | \n", + "70.666667 | \n", + "1578.857612 | \n", + "2351.169341 | \n", + "1820.442900 | \n", + "1411.700224 | \n", + "0 | \n", + "-9 | \n", + "55846 | \n", + "13750 | \n", + "22897 | \n", + "36614 | \n", + "44676.8 | \n", + "17875.000000 | \n", + "... | \n", + "0.051131 | \n", + "-0.016479 | \n", + "0.032716 | \n", + "-0.001735 | \n", + "-0.006142 | \n", + "-0.000083 | \n", + "0.003233 | \n", + "0.000369 | \n", + "0.000047 | \n", + "1.570527e-11 | \n", + "-2.956002e-11 | \n", + "-4.246039e-11 | \n", + "-3.625665e-11 | \n", + "-3.904595e-11 | \n", + "-8.910011e-12 | \n", + "2.530238e-12 | \n", + "7.069996e-12 | \n", + "3.740412e-13 | \n", + "8.286938e-15 | \n", + "6.592696e-16 | \n", + "-1.280837e-15 | \n", + "9.213680e-16 | \n", + "-3.869037e-17 | \n", + "1.861092e-16 | \n", + "-3.535306e-16 | \n", + "2.137629e-15 | \n", + "-3.969571e-16 | \n", + "-1.665115e-15 | \n", + "2.604798e-15 | \n", + "-3.388406e-15 | \n", + "3.325411e-16 | \n", + "-1.605029e-15 | \n", + "-2.185016e-15 | \n", + "-2.579443e-15 | \n", + "3.379958e-15 | \n", + "1.414309e-15 | \n", + "-3.038426e-15 | \n", + "-1.618005e-15 | \n", + "-2.137277e-16 | \n", + "-7.535854e-16 | \n", + "
| 4 | \n", + "4 | \n", + "26 | \n", + "0 | \n", + "2 | \n", + "60991 | \n", + "737 | \n", + "14801 | \n", + "24628 | \n", + "39421 | \n", + "15492 | \n", + "2 | \n", + "1980 | \n", + "0 | \n", + "1 | \n", + "-6 | \n", + "-6 | \n", + "2 | \n", + "100 | \n", + "4 | \n", + "2314.524902 | \n", + "2 | \n", + "96874 | \n", + "1 | \n", + "759 | \n", + "5 | \n", + "1 | \n", + "146.000000 | \n", + "12.500000 | \n", + "759.000000 | \n", + "759.000000 | \n", + "759.000000 | \n", + "759.000000 | \n", + "96900 | \n", + "0 | \n", + "60991 | \n", + "14801 | \n", + "24628 | \n", + "39421 | \n", + "48792.8 | \n", + "16651.125000 | \n", + "... | \n", + "0.029508 | \n", + "0.017652 | \n", + "-0.007901 | \n", + "0.005932 | \n", + "-0.008180 | \n", + "0.001159 | \n", + "0.004948 | \n", + "0.003858 | \n", + "-0.000114 | \n", + "-1.210293e-12 | \n", + "-7.386035e-13 | \n", + "1.444818e-12 | \n", + "-7.904880e-13 | \n", + "-9.223507e-14 | \n", + "-6.033953e-13 | \n", + "5.752033e-14 | \n", + "-3.907023e-13 | \n", + "8.020451e-13 | \n", + "-3.283658e-13 | \n", + "5.266361e-14 | \n", + "3.634224e-15 | \n", + "1.832897e-14 | \n", + "4.621295e-14 | \n", + "-3.589585e-14 | \n", + "-1.776807e-14 | \n", + "-2.737603e-14 | \n", + "-8.598189e-15 | \n", + "-3.794475e-14 | \n", + "-1.916136e-14 | \n", + "-8.228730e-15 | \n", + "-6.056303e-15 | \n", + "-1.204971e-14 | \n", + "-1.099331e-14 | \n", + "7.764073e-15 | \n", + "-3.602489e-15 | \n", + "9.824194e-15 | \n", + "3.711774e-15 | \n", + "5.388211e-15 | \n", + "-7.548762e-16 | \n", + "-5.272142e-17 | \n", + "
5 rows × 198 columns
\n", + ""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "y-3rVFtGLMJM",
+ "colab_type": "text"
+ },
+ "source": [
+ "# K-Means Clustering"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "id": "_VS3FFSFLR3a",
+ "colab_type": "text"
+ },
+ "source": [
+ "# 1) Use the \"Breast Cancer Wisconsin (Diagnostic) Data Set\" from Kaggle to try and cluster types of cancer cells. \n",
+ "\n",
+ "Here's the original dataset for your reference:\n",
+ "\n",
+ "| \n", + " | id | \n", + "diagnosis | \n", + "radius_mean | \n", + "texture_mean | \n", + "perimeter_mean | \n", + "area_mean | \n", + "smoothness_mean | \n", + "compactness_mean | \n", + "concavity_mean | \n", + "concave points_mean | \n", + "symmetry_mean | \n", + "fractal_dimension_mean | \n", + "radius_se | \n", + "texture_se | \n", + "perimeter_se | \n", + "area_se | \n", + "smoothness_se | \n", + "compactness_se | \n", + "concavity_se | \n", + "concave points_se | \n", + "symmetry_se | \n", + "fractal_dimension_se | \n", + "radius_worst | \n", + "texture_worst | \n", + "perimeter_worst | \n", + "area_worst | \n", + "smoothness_worst | \n", + "compactness_worst | \n", + "concavity_worst | \n", + "concave points_worst | \n", + "symmetry_worst | \n", + "fractal_dimension_worst | \n", + "Unnamed: 32 | \n", + "
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | \n", + "842302 | \n", + "M | \n", + "17.99 | \n", + "10.38 | \n", + "122.80 | \n", + "1001.0 | \n", + "0.11840 | \n", + "0.27760 | \n", + "0.3001 | \n", + "0.14710 | \n", + "0.2419 | \n", + "0.07871 | \n", + "1.0950 | \n", + "0.9053 | \n", + "8.589 | \n", + "153.40 | \n", + "0.006399 | \n", + "0.04904 | \n", + "0.05373 | \n", + "0.01587 | \n", + "0.03003 | \n", + "0.006193 | \n", + "25.38 | \n", + "17.33 | \n", + "184.60 | \n", + "2019.0 | \n", + "0.1622 | \n", + "0.6656 | \n", + "0.7119 | \n", + "0.2654 | \n", + "0.4601 | \n", + "0.11890 | \n", + "NaN | \n", + "
| 1 | \n", + "842517 | \n", + "M | \n", + "20.57 | \n", + "17.77 | \n", + "132.90 | \n", + "1326.0 | \n", + "0.08474 | \n", + "0.07864 | \n", + "0.0869 | \n", + "0.07017 | \n", + "0.1812 | \n", + "0.05667 | \n", + "0.5435 | \n", + "0.7339 | \n", + "3.398 | \n", + "74.08 | \n", + "0.005225 | \n", + "0.01308 | \n", + "0.01860 | \n", + "0.01340 | \n", + "0.01389 | \n", + "0.003532 | \n", + "24.99 | \n", + "23.41 | \n", + "158.80 | \n", + "1956.0 | \n", + "0.1238 | \n", + "0.1866 | \n", + "0.2416 | \n", + "0.1860 | \n", + "0.2750 | \n", + "0.08902 | \n", + "NaN | \n", + "
| 2 | \n", + "84300903 | \n", + "M | \n", + "19.69 | \n", + "21.25 | \n", + "130.00 | \n", + "1203.0 | \n", + "0.10960 | \n", + "0.15990 | \n", + "0.1974 | \n", + "0.12790 | \n", + "0.2069 | \n", + "0.05999 | \n", + "0.7456 | \n", + "0.7869 | \n", + "4.585 | \n", + "94.03 | \n", + "0.006150 | \n", + "0.04006 | \n", + "0.03832 | \n", + "0.02058 | \n", + "0.02250 | \n", + "0.004571 | \n", + "23.57 | \n", + "25.53 | \n", + "152.50 | \n", + "1709.0 | \n", + "0.1444 | \n", + "0.4245 | \n", + "0.4504 | \n", + "0.2430 | \n", + "0.3613 | \n", + "0.08758 | \n", + "NaN | \n", + "
| 3 | \n", + "84348301 | \n", + "M | \n", + "11.42 | \n", + "20.38 | \n", + "77.58 | \n", + "386.1 | \n", + "0.14250 | \n", + "0.28390 | \n", + "0.2414 | \n", + "0.10520 | \n", + "0.2597 | \n", + "0.09744 | \n", + "0.4956 | \n", + "1.1560 | \n", + "3.445 | \n", + "27.23 | \n", + "0.009110 | \n", + "0.07458 | \n", + "0.05661 | \n", + "0.01867 | \n", + "0.05963 | \n", + "0.009208 | \n", + "14.91 | \n", + "26.50 | \n", + "98.87 | \n", + "567.7 | \n", + "0.2098 | \n", + "0.8663 | \n", + "0.6869 | \n", + "0.2575 | \n", + "0.6638 | \n", + "0.17300 | \n", + "NaN | \n", + "
| 4 | \n", + "84358402 | \n", + "M | \n", + "20.29 | \n", + "14.34 | \n", + "135.10 | \n", + "1297.0 | \n", + "0.10030 | \n", + "0.13280 | \n", + "0.1980 | \n", + "0.10430 | \n", + "0.1809 | \n", + "0.05883 | \n", + "0.7572 | \n", + "0.7813 | \n", + "5.438 | \n", + "94.44 | \n", + "0.011490 | \n", + "0.02461 | \n", + "0.05688 | \n", + "0.01885 | \n", + "0.01756 | \n", + "0.005115 | \n", + "22.54 | \n", + "16.67 | \n", + "152.20 | \n", + "1575.0 | \n", + "0.1374 | \n", + "0.2050 | \n", + "0.4000 | \n", + "0.1625 | \n", + "0.2364 | \n", + "0.07678 | \n", + "NaN | \n", + "
| \n", + " | id | \n", + "radius_mean | \n", + "texture_mean | \n", + "perimeter_mean | \n", + "area_mean | \n", + "smoothness_mean | \n", + "compactness_mean | \n", + "concavity_mean | \n", + "concave points_mean | \n", + "symmetry_mean | \n", + "fractal_dimension_mean | \n", + "radius_se | \n", + "texture_se | \n", + "perimeter_se | \n", + "area_se | \n", + "smoothness_se | \n", + "compactness_se | \n", + "concavity_se | \n", + "concave points_se | \n", + "symmetry_se | \n", + "fractal_dimension_se | \n", + "radius_worst | \n", + "texture_worst | \n", + "perimeter_worst | \n", + "area_worst | \n", + "smoothness_worst | \n", + "compactness_worst | \n", + "concavity_worst | \n", + "concave points_worst | \n", + "symmetry_worst | \n", + "fractal_dimension_worst | \n", + "Unnamed: 32 | \n", + "
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | \n", + "842302 | \n", + "17.99 | \n", + "10.38 | \n", + "122.80 | \n", + "1001.0 | \n", + "0.11840 | \n", + "0.27760 | \n", + "0.3001 | \n", + "0.14710 | \n", + "0.2419 | \n", + "0.07871 | \n", + "1.0950 | \n", + "0.9053 | \n", + "8.589 | \n", + "153.40 | \n", + "0.006399 | \n", + "0.04904 | \n", + "0.05373 | \n", + "0.01587 | \n", + "0.03003 | \n", + "0.006193 | \n", + "25.38 | \n", + "17.33 | \n", + "184.60 | \n", + "2019.0 | \n", + "0.1622 | \n", + "0.6656 | \n", + "0.7119 | \n", + "0.2654 | \n", + "0.4601 | \n", + "0.11890 | \n", + "NaN | \n", + "
| 1 | \n", + "842517 | \n", + "20.57 | \n", + "17.77 | \n", + "132.90 | \n", + "1326.0 | \n", + "0.08474 | \n", + "0.07864 | \n", + "0.0869 | \n", + "0.07017 | \n", + "0.1812 | \n", + "0.05667 | \n", + "0.5435 | \n", + "0.7339 | \n", + "3.398 | \n", + "74.08 | \n", + "0.005225 | \n", + "0.01308 | \n", + "0.01860 | \n", + "0.01340 | \n", + "0.01389 | \n", + "0.003532 | \n", + "24.99 | \n", + "23.41 | \n", + "158.80 | \n", + "1956.0 | \n", + "0.1238 | \n", + "0.1866 | \n", + "0.2416 | \n", + "0.1860 | \n", + "0.2750 | \n", + "0.08902 | \n", + "NaN | \n", + "
| 2 | \n", + "84300903 | \n", + "19.69 | \n", + "21.25 | \n", + "130.00 | \n", + "1203.0 | \n", + "0.10960 | \n", + "0.15990 | \n", + "0.1974 | \n", + "0.12790 | \n", + "0.2069 | \n", + "0.05999 | \n", + "0.7456 | \n", + "0.7869 | \n", + "4.585 | \n", + "94.03 | \n", + "0.006150 | \n", + "0.04006 | \n", + "0.03832 | \n", + "0.02058 | \n", + "0.02250 | \n", + "0.004571 | \n", + "23.57 | \n", + "25.53 | \n", + "152.50 | \n", + "1709.0 | \n", + "0.1444 | \n", + "0.4245 | \n", + "0.4504 | \n", + "0.2430 | \n", + "0.3613 | \n", + "0.08758 | \n", + "NaN | \n", + "
| 3 | \n", + "84348301 | \n", + "11.42 | \n", + "20.38 | \n", + "77.58 | \n", + "386.1 | \n", + "0.14250 | \n", + "0.28390 | \n", + "0.2414 | \n", + "0.10520 | \n", + "0.2597 | \n", + "0.09744 | \n", + "0.4956 | \n", + "1.1560 | \n", + "3.445 | \n", + "27.23 | \n", + "0.009110 | \n", + "0.07458 | \n", + "0.05661 | \n", + "0.01867 | \n", + "0.05963 | \n", + "0.009208 | \n", + "14.91 | \n", + "26.50 | \n", + "98.87 | \n", + "567.7 | \n", + "0.2098 | \n", + "0.8663 | \n", + "0.6869 | \n", + "0.2575 | \n", + "0.6638 | \n", + "0.17300 | \n", + "NaN | \n", + "
| 4 | \n", + "84358402 | \n", + "20.29 | \n", + "14.34 | \n", + "135.10 | \n", + "1297.0 | \n", + "0.10030 | \n", + "0.13280 | \n", + "0.1980 | \n", + "0.10430 | \n", + "0.1809 | \n", + "0.05883 | \n", + "0.7572 | \n", + "0.7813 | \n", + "5.438 | \n", + "94.44 | \n", + "0.011490 | \n", + "0.02461 | \n", + "0.05688 | \n", + "0.01885 | \n", + "0.01756 | \n", + "0.005115 | \n", + "22.54 | \n", + "16.67 | \n", + "152.20 | \n", + "1575.0 | \n", + "0.1374 | \n", + "0.2050 | \n", + "0.4000 | \n", + "0.1625 | \n", + "0.2364 | \n", + "0.07678 | \n", + "NaN | \n", + "
| \n", + " | id | \n", + "radius_mean | \n", + "texture_mean | \n", + "perimeter_mean | \n", + "area_mean | \n", + "smoothness_mean | \n", + "compactness_mean | \n", + "concavity_mean | \n", + "concave points_mean | \n", + "symmetry_mean | \n", + "fractal_dimension_mean | \n", + "radius_se | \n", + "texture_se | \n", + "perimeter_se | \n", + "area_se | \n", + "smoothness_se | \n", + "compactness_se | \n", + "concavity_se | \n", + "concave points_se | \n", + "symmetry_se | \n", + "fractal_dimension_se | \n", + "radius_worst | \n", + "texture_worst | \n", + "perimeter_worst | \n", + "area_worst | \n", + "smoothness_worst | \n", + "compactness_worst | \n", + "concavity_worst | \n", + "concave points_worst | \n", + "symmetry_worst | \n", + "fractal_dimension_worst | \n", + "Unnamed: 32 | \n", + "
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| count | \n", + "5.690000e+02 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "569.000000 | \n", + "0.0 | \n", + "
| mean | \n", + "3.037183e+07 | \n", + "14.127292 | \n", + "19.289649 | \n", + "91.969033 | \n", + "654.889104 | \n", + "0.096360 | \n", + "0.104341 | \n", + "0.088799 | \n", + "0.048919 | \n", + "0.181162 | \n", + "0.062798 | \n", + "0.405172 | \n", + "1.216853 | \n", + "2.866059 | \n", + "40.337079 | \n", + "0.007041 | \n", + "0.025478 | \n", + "0.031894 | \n", + "0.011796 | \n", + "0.020542 | \n", + "0.003795 | \n", + "16.269190 | \n", + "25.677223 | \n", + "107.261213 | \n", + "880.583128 | \n", + "0.132369 | \n", + "0.254265 | \n", + "0.272188 | \n", + "0.114606 | \n", + "0.290076 | \n", + "0.083946 | \n", + "NaN | \n", + "
| std | \n", + "1.250206e+08 | \n", + "3.524049 | \n", + "4.301036 | \n", + "24.298981 | \n", + "351.914129 | \n", + "0.014064 | \n", + "0.052813 | \n", + "0.079720 | \n", + "0.038803 | \n", + "0.027414 | \n", + "0.007060 | \n", + "0.277313 | \n", + "0.551648 | \n", + "2.021855 | \n", + "45.491006 | \n", + "0.003003 | \n", + "0.017908 | \n", + "0.030186 | \n", + "0.006170 | \n", + "0.008266 | \n", + "0.002646 | \n", + "4.833242 | \n", + "6.146258 | \n", + "33.602542 | \n", + "569.356993 | \n", + "0.022832 | \n", + "0.157336 | \n", + "0.208624 | \n", + "0.065732 | \n", + "0.061867 | \n", + "0.018061 | \n", + "NaN | \n", + "
| min | \n", + "8.670000e+03 | \n", + "6.981000 | \n", + "9.710000 | \n", + "43.790000 | \n", + "143.500000 | \n", + "0.052630 | \n", + "0.019380 | \n", + "0.000000 | \n", + "0.000000 | \n", + "0.106000 | \n", + "0.049960 | \n", + "0.111500 | \n", + "0.360200 | \n", + "0.757000 | \n", + "6.802000 | \n", + "0.001713 | \n", + "0.002252 | \n", + "0.000000 | \n", + "0.000000 | \n", + "0.007882 | \n", + "0.000895 | \n", + "7.930000 | \n", + "12.020000 | \n", + "50.410000 | \n", + "185.200000 | \n", + "0.071170 | \n", + "0.027290 | \n", + "0.000000 | \n", + "0.000000 | \n", + "0.156500 | \n", + "0.055040 | \n", + "NaN | \n", + "
| 25% | \n", + "8.692180e+05 | \n", + "11.700000 | \n", + "16.170000 | \n", + "75.170000 | \n", + "420.300000 | \n", + "0.086370 | \n", + "0.064920 | \n", + "0.029560 | \n", + "0.020310 | \n", + "0.161900 | \n", + "0.057700 | \n", + "0.232400 | \n", + "0.833900 | \n", + "1.606000 | \n", + "17.850000 | \n", + "0.005169 | \n", + "0.013080 | \n", + "0.015090 | \n", + "0.007638 | \n", + "0.015160 | \n", + "0.002248 | \n", + "13.010000 | \n", + "21.080000 | \n", + "84.110000 | \n", + "515.300000 | \n", + "0.116600 | \n", + "0.147200 | \n", + "0.114500 | \n", + "0.064930 | \n", + "0.250400 | \n", + "0.071460 | \n", + "NaN | \n", + "
| 50% | \n", + "9.060240e+05 | \n", + "13.370000 | \n", + "18.840000 | \n", + "86.240000 | \n", + "551.100000 | \n", + "0.095870 | \n", + "0.092630 | \n", + "0.061540 | \n", + "0.033500 | \n", + "0.179200 | \n", + "0.061540 | \n", + "0.324200 | \n", + "1.108000 | \n", + "2.287000 | \n", + "24.530000 | \n", + "0.006380 | \n", + "0.020450 | \n", + "0.025890 | \n", + "0.010930 | \n", + "0.018730 | \n", + "0.003187 | \n", + "14.970000 | \n", + "25.410000 | \n", + "97.660000 | \n", + "686.500000 | \n", + "0.131300 | \n", + "0.211900 | \n", + "0.226700 | \n", + "0.099930 | \n", + "0.282200 | \n", + "0.080040 | \n", + "NaN | \n", + "
| 75% | \n", + "8.813129e+06 | \n", + "15.780000 | \n", + "21.800000 | \n", + "104.100000 | \n", + "782.700000 | \n", + "0.105300 | \n", + "0.130400 | \n", + "0.130700 | \n", + "0.074000 | \n", + "0.195700 | \n", + "0.066120 | \n", + "0.478900 | \n", + "1.474000 | \n", + "3.357000 | \n", + "45.190000 | \n", + "0.008146 | \n", + "0.032450 | \n", + "0.042050 | \n", + "0.014710 | \n", + "0.023480 | \n", + "0.004558 | \n", + "18.790000 | \n", + "29.720000 | \n", + "125.400000 | \n", + "1084.000000 | \n", + "0.146000 | \n", + "0.339100 | \n", + "0.382900 | \n", + "0.161400 | \n", + "0.317900 | \n", + "0.092080 | \n", + "NaN | \n", + "
| max | \n", + "9.113205e+08 | \n", + "28.110000 | \n", + "39.280000 | \n", + "188.500000 | \n", + "2501.000000 | \n", + "0.163400 | \n", + "0.345400 | \n", + "0.426800 | \n", + "0.201200 | \n", + "0.304000 | \n", + "0.097440 | \n", + "2.873000 | \n", + "4.885000 | \n", + "21.980000 | \n", + "542.200000 | \n", + "0.031130 | \n", + "0.135400 | \n", + "0.396000 | \n", + "0.052790 | \n", + "0.078950 | \n", + "0.029840 | \n", + "36.040000 | \n", + "49.540000 | \n", + "251.200000 | \n", + "4254.000000 | \n", + "0.222600 | \n", + "1.058000 | \n", + "1.252000 | \n", + "0.291000 | \n", + "0.663800 | \n", + "0.207500 | \n", + "NaN | \n", + "
| \n", + " | radius_mean | \n", + "texture_mean | \n", + "perimeter_mean | \n", + "area_mean | \n", + "smoothness_mean | \n", + "compactness_mean | \n", + "concavity_mean | \n", + "concave points_mean | \n", + "symmetry_mean | \n", + "fractal_dimension_mean | \n", + "radius_se | \n", + "texture_se | \n", + "perimeter_se | \n", + "area_se | \n", + "smoothness_se | \n", + "compactness_se | \n", + "concavity_se | \n", + "concave points_se | \n", + "symmetry_se | \n", + "fractal_dimension_se | \n", + "radius_worst | \n", + "texture_worst | \n", + "perimeter_worst | \n", + "area_worst | \n", + "smoothness_worst | \n", + "compactness_worst | \n", + "concavity_worst | \n", + "concave points_worst | \n", + "symmetry_worst | \n", + "fractal_dimension_worst | \n", + "
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | \n", + "17.99 | \n", + "10.38 | \n", + "122.80 | \n", + "1001.0 | \n", + "0.11840 | \n", + "0.27760 | \n", + "0.3001 | \n", + "0.14710 | \n", + "0.2419 | \n", + "0.07871 | \n", + "1.0950 | \n", + "0.9053 | \n", + "8.589 | \n", + "153.40 | \n", + "0.006399 | \n", + "0.04904 | \n", + "0.05373 | \n", + "0.01587 | \n", + "0.03003 | \n", + "0.006193 | \n", + "25.38 | \n", + "17.33 | \n", + "184.60 | \n", + "2019.0 | \n", + "0.1622 | \n", + "0.6656 | \n", + "0.7119 | \n", + "0.2654 | \n", + "0.4601 | \n", + "0.11890 | \n", + "
| 1 | \n", + "20.57 | \n", + "17.77 | \n", + "132.90 | \n", + "1326.0 | \n", + "0.08474 | \n", + "0.07864 | \n", + "0.0869 | \n", + "0.07017 | \n", + "0.1812 | \n", + "0.05667 | \n", + "0.5435 | \n", + "0.7339 | \n", + "3.398 | \n", + "74.08 | \n", + "0.005225 | \n", + "0.01308 | \n", + "0.01860 | \n", + "0.01340 | \n", + "0.01389 | \n", + "0.003532 | \n", + "24.99 | \n", + "23.41 | \n", + "158.80 | \n", + "1956.0 | \n", + "0.1238 | \n", + "0.1866 | \n", + "0.2416 | \n", + "0.1860 | \n", + "0.2750 | \n", + "0.08902 | \n", + "
| 2 | \n", + "19.69 | \n", + "21.25 | \n", + "130.00 | \n", + "1203.0 | \n", + "0.10960 | \n", + "0.15990 | \n", + "0.1974 | \n", + "0.12790 | \n", + "0.2069 | \n", + "0.05999 | \n", + "0.7456 | \n", + "0.7869 | \n", + "4.585 | \n", + "94.03 | \n", + "0.006150 | \n", + "0.04006 | \n", + "0.03832 | \n", + "0.02058 | \n", + "0.02250 | \n", + "0.004571 | \n", + "23.57 | \n", + "25.53 | \n", + "152.50 | \n", + "1709.0 | \n", + "0.1444 | \n", + "0.4245 | \n", + "0.4504 | \n", + "0.2430 | \n", + "0.3613 | \n", + "0.08758 | \n", + "
| 3 | \n", + "11.42 | \n", + "20.38 | \n", + "77.58 | \n", + "386.1 | \n", + "0.14250 | \n", + "0.28390 | \n", + "0.2414 | \n", + "0.10520 | \n", + "0.2597 | \n", + "0.09744 | \n", + "0.4956 | \n", + "1.1560 | \n", + "3.445 | \n", + "27.23 | \n", + "0.009110 | \n", + "0.07458 | \n", + "0.05661 | \n", + "0.01867 | \n", + "0.05963 | \n", + "0.009208 | \n", + "14.91 | \n", + "26.50 | \n", + "98.87 | \n", + "567.7 | \n", + "0.2098 | \n", + "0.8663 | \n", + "0.6869 | \n", + "0.2575 | \n", + "0.6638 | \n", + "0.17300 | \n", + "
| 4 | \n", + "20.29 | \n", + "14.34 | \n", + "135.10 | \n", + "1297.0 | \n", + "0.10030 | \n", + "0.13280 | \n", + "0.1980 | \n", + "0.10430 | \n", + "0.1809 | \n", + "0.05883 | \n", + "0.7572 | \n", + "0.7813 | \n", + "5.438 | \n", + "94.44 | \n", + "0.011490 | \n", + "0.02461 | \n", + "0.05688 | \n", + "0.01885 | \n", + "0.01756 | \n", + "0.005115 | \n", + "22.54 | \n", + "16.67 | \n", + "152.20 | \n", + "1575.0 | \n", + "0.1374 | \n", + "0.2050 | \n", + "0.4000 | \n", + "0.1625 | \n", + "0.2364 | \n", + "0.07678 | \n", + "
| \n", + " | 0 | \n", + "1 | \n", + "2 | \n", + "3 | \n", + "4 | \n", + "5 | \n", + "6 | \n", + "7 | \n", + "8 | \n", + "9 | \n", + "10 | \n", + "11 | \n", + "12 | \n", + "13 | \n", + "14 | \n", + "15 | \n", + "16 | \n", + "17 | \n", + "18 | \n", + "19 | \n", + "20 | \n", + "21 | \n", + "22 | \n", + "23 | \n", + "24 | \n", + "25 | \n", + "26 | \n", + "27 | \n", + "28 | \n", + "29 | \n", + "
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | \n", + "1.097064 | \n", + "-2.073335 | \n", + "1.269934 | \n", + "0.984375 | \n", + "1.568466 | \n", + "3.283515 | \n", + "2.652874 | \n", + "2.532475 | \n", + "2.217515 | \n", + "2.255747 | \n", + "2.489734 | \n", + "-0.565265 | \n", + "2.833031 | \n", + "2.487578 | \n", + "-0.214002 | \n", + "1.316862 | \n", + "0.724026 | \n", + "0.660820 | \n", + "1.148757 | \n", + "0.907083 | \n", + "1.886690 | \n", + "-1.359293 | \n", + "2.303601 | \n", + "2.001237 | \n", + "1.307686 | \n", + "2.616665 | \n", + "2.109526 | \n", + "2.296076 | \n", + "2.750622 | \n", + "1.937015 | \n", + "
| 1 | \n", + "1.829821 | \n", + "-0.353632 | \n", + "1.685955 | \n", + "1.908708 | \n", + "-0.826962 | \n", + "-0.487072 | \n", + "-0.023846 | \n", + "0.548144 | \n", + "0.001392 | \n", + "-0.868652 | \n", + "0.499255 | \n", + "-0.876244 | \n", + "0.263327 | \n", + "0.742402 | \n", + "-0.605351 | \n", + "-0.692926 | \n", + "-0.440780 | \n", + "0.260162 | \n", + "-0.805450 | \n", + "-0.099444 | \n", + "1.805927 | \n", + "-0.369203 | \n", + "1.535126 | \n", + "1.890489 | \n", + "-0.375612 | \n", + "-0.430444 | \n", + "-0.146749 | \n", + "1.087084 | \n", + "-0.243890 | \n", + "0.281190 | \n", + "
| 2 | \n", + "1.579888 | \n", + "0.456187 | \n", + "1.566503 | \n", + "1.558884 | \n", + "0.942210 | \n", + "1.052926 | \n", + "1.363478 | \n", + "2.037231 | \n", + "0.939685 | \n", + "-0.398008 | \n", + "1.228676 | \n", + "-0.780083 | \n", + "0.850928 | \n", + "1.181336 | \n", + "-0.297005 | \n", + "0.814974 | \n", + "0.213076 | \n", + "1.424827 | \n", + "0.237036 | \n", + "0.293559 | \n", + "1.511870 | \n", + "-0.023974 | \n", + "1.347475 | \n", + "1.456285 | \n", + "0.527407 | \n", + "1.082932 | \n", + "0.854974 | \n", + "1.955000 | \n", + "1.152255 | \n", + "0.201391 | \n", + "
| 3 | \n", + "-0.768909 | \n", + "0.253732 | \n", + "-0.592687 | \n", + "-0.764464 | \n", + "3.283553 | \n", + "3.402909 | \n", + "1.915897 | \n", + "1.451707 | \n", + "2.867383 | \n", + "4.910919 | \n", + "0.326373 | \n", + "-0.110409 | \n", + "0.286593 | \n", + "-0.288378 | \n", + "0.689702 | \n", + "2.744280 | \n", + "0.819518 | \n", + "1.115007 | \n", + "4.732680 | \n", + "2.047511 | \n", + "-0.281464 | \n", + "0.133984 | \n", + "-0.249939 | \n", + "-0.550021 | \n", + "3.394275 | \n", + "3.893397 | \n", + "1.989588 | \n", + "2.175786 | \n", + "6.046041 | \n", + "4.935010 | \n", + "
| 4 | \n", + "1.750297 | \n", + "-1.151816 | \n", + "1.776573 | \n", + "1.826229 | \n", + "0.280372 | \n", + "0.539340 | \n", + "1.371011 | \n", + "1.428493 | \n", + "-0.009560 | \n", + "-0.562450 | \n", + "1.270543 | \n", + "-0.790244 | \n", + "1.273189 | \n", + "1.190357 | \n", + "1.483067 | \n", + "-0.048520 | \n", + "0.828471 | \n", + "1.144205 | \n", + "-0.361092 | \n", + "0.499328 | \n", + "1.298575 | \n", + "-1.466770 | \n", + "1.338539 | \n", + "1.220724 | \n", + "0.220556 | \n", + "-0.313395 | \n", + "0.613179 | \n", + "0.729259 | \n", + "-0.868353 | \n", + "-0.397100 | \n", + "
| \n", + " | 0 | \n", + "1 | \n", + "2 | \n", + "3 | \n", + "4 | \n", + "5 | \n", + "6 | \n", + "7 | \n", + "8 | \n", + "9 | \n", + "10 | \n", + "11 | \n", + "12 | \n", + "13 | \n", + "14 | \n", + "15 | \n", + "16 | \n", + "17 | \n", + "18 | \n", + "19 | \n", + "20 | \n", + "21 | \n", + "22 | \n", + "23 | \n", + "24 | \n", + "25 | \n", + "26 | \n", + "27 | \n", + "28 | \n", + "29 | \n", + "clusters | \n", + "
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | \n", + "1.097064 | \n", + "-2.073335 | \n", + "1.269934 | \n", + "0.984375 | \n", + "1.568466 | \n", + "3.283515 | \n", + "2.652874 | \n", + "2.532475 | \n", + "2.217515 | \n", + "2.255747 | \n", + "2.489734 | \n", + "-0.565265 | \n", + "2.833031 | \n", + "2.487578 | \n", + "-0.214002 | \n", + "1.316862 | \n", + "0.724026 | \n", + "0.660820 | \n", + "1.148757 | \n", + "0.907083 | \n", + "1.886690 | \n", + "-1.359293 | \n", + "2.303601 | \n", + "2.001237 | \n", + "1.307686 | \n", + "2.616665 | \n", + "2.109526 | \n", + "2.296076 | \n", + "2.750622 | \n", + "1.937015 | \n", + "1 | \n", + "
| 1 | \n", + "1.829821 | \n", + "-0.353632 | \n", + "1.685955 | \n", + "1.908708 | \n", + "-0.826962 | \n", + "-0.487072 | \n", + "-0.023846 | \n", + "0.548144 | \n", + "0.001392 | \n", + "-0.868652 | \n", + "0.499255 | \n", + "-0.876244 | \n", + "0.263327 | \n", + "0.742402 | \n", + "-0.605351 | \n", + "-0.692926 | \n", + "-0.440780 | \n", + "0.260162 | \n", + "-0.805450 | \n", + "-0.099444 | \n", + "1.805927 | \n", + "-0.369203 | \n", + "1.535126 | \n", + "1.890489 | \n", + "-0.375612 | \n", + "-0.430444 | \n", + "-0.146749 | \n", + "1.087084 | \n", + "-0.243890 | \n", + "0.281190 | \n", + "1 | \n", + "
| 2 | \n", + "1.579888 | \n", + "0.456187 | \n", + "1.566503 | \n", + "1.558884 | \n", + "0.942210 | \n", + "1.052926 | \n", + "1.363478 | \n", + "2.037231 | \n", + "0.939685 | \n", + "-0.398008 | \n", + "1.228676 | \n", + "-0.780083 | \n", + "0.850928 | \n", + "1.181336 | \n", + "-0.297005 | \n", + "0.814974 | \n", + "0.213076 | \n", + "1.424827 | \n", + "0.237036 | \n", + "0.293559 | \n", + "1.511870 | \n", + "-0.023974 | \n", + "1.347475 | \n", + "1.456285 | \n", + "0.527407 | \n", + "1.082932 | \n", + "0.854974 | \n", + "1.955000 | \n", + "1.152255 | \n", + "0.201391 | \n", + "1 | \n", + "
| 3 | \n", + "-0.768909 | \n", + "0.253732 | \n", + "-0.592687 | \n", + "-0.764464 | \n", + "3.283553 | \n", + "3.402909 | \n", + "1.915897 | \n", + "1.451707 | \n", + "2.867383 | \n", + "4.910919 | \n", + "0.326373 | \n", + "-0.110409 | \n", + "0.286593 | \n", + "-0.288378 | \n", + "0.689702 | \n", + "2.744280 | \n", + "0.819518 | \n", + "1.115007 | \n", + "4.732680 | \n", + "2.047511 | \n", + "-0.281464 | \n", + "0.133984 | \n", + "-0.249939 | \n", + "-0.550021 | \n", + "3.394275 | \n", + "3.893397 | \n", + "1.989588 | \n", + "2.175786 | \n", + "6.046041 | \n", + "4.935010 | \n", + "1 | \n", + "
| 4 | \n", + "1.750297 | \n", + "-1.151816 | \n", + "1.776573 | \n", + "1.826229 | \n", + "0.280372 | \n", + "0.539340 | \n", + "1.371011 | \n", + "1.428493 | \n", + "-0.009560 | \n", + "-0.562450 | \n", + "1.270543 | \n", + "-0.790244 | \n", + "1.273189 | \n", + "1.190357 | \n", + "1.483067 | \n", + "-0.048520 | \n", + "0.828471 | \n", + "1.144205 | \n", + "-0.361092 | \n", + "0.499328 | \n", + "1.298575 | \n", + "-1.466770 | \n", + "1.338539 | \n", + "1.220724 | \n", + "0.220556 | \n", + "-0.313395 | \n", + "0.613179 | \n", + "0.729259 | \n", + "-0.868353 | \n", + "-0.397100 | \n", + "1 | \n", + "
| \n", + " | pc1 | \n", + "pc2 | \n", + "pc3 | \n", + "pc4 | \n", + "pc5 | \n", + "pc6 | \n", + "pc7 | \n", + "
|---|---|---|---|---|---|---|---|
| 0 | \n", + "9.192837 | \n", + "1.948583 | \n", + "-1.123166 | \n", + "3.633731 | \n", + "-1.195110 | \n", + "1.411424 | \n", + "2.159370 | \n", + "
| 1 | \n", + "2.387802 | \n", + "-3.768172 | \n", + "-0.529293 | \n", + "1.118264 | \n", + "0.621775 | \n", + "0.028656 | \n", + "0.013358 | \n", + "
| 2 | \n", + "5.733896 | \n", + "-1.075174 | \n", + "-0.551748 | \n", + "0.912083 | \n", + "-0.177086 | \n", + "0.541452 | \n", + "-0.668166 | \n", + "
| 3 | \n", + "7.122953 | \n", + "10.275589 | \n", + "-3.232790 | \n", + "0.152547 | \n", + "-2.960878 | \n", + "3.053422 | \n", + "1.429911 | \n", + "
| 4 | \n", + "3.935302 | \n", + "-1.948072 | \n", + "1.389767 | \n", + "2.940639 | \n", + "0.546747 | \n", + "-1.226495 | \n", + "-0.936213 | \n", + "
| \n", + " | pc1 | \n", + "pc2 | \n", + "pc3 | \n", + "pc4 | \n", + "pc5 | \n", + "pc6 | \n", + "pc7 | \n", + "clusters | \n", + "
|---|---|---|---|---|---|---|---|---|
| 0 | \n", + "9.192837 | \n", + "1.948583 | \n", + "-1.123166 | \n", + "3.633731 | \n", + "-1.195110 | \n", + "1.411424 | \n", + "2.159370 | \n", + "1 | \n", + "
| 1 | \n", + "2.387802 | \n", + "-3.768172 | \n", + "-0.529293 | \n", + "1.118264 | \n", + "0.621775 | \n", + "0.028656 | \n", + "0.013358 | \n", + "1 | \n", + "
| 2 | \n", + "5.733896 | \n", + "-1.075174 | \n", + "-0.551748 | \n", + "0.912083 | \n", + "-0.177086 | \n", + "0.541452 | \n", + "-0.668166 | \n", + "1 | \n", + "
| 3 | \n", + "7.122953 | \n", + "10.275589 | \n", + "-3.232790 | \n", + "0.152547 | \n", + "-2.960878 | \n", + "3.053422 | \n", + "1.429911 | \n", + "1 | \n", + "
| 4 | \n", + "3.935302 | \n", + "-1.948072 | \n", + "1.389767 | \n", + "2.940639 | \n", + "0.546747 | \n", + "-1.226495 | \n", + "-0.936213 | \n", + "1 | \n", + "
| \n", + " | pc1 | \n", + "pc2 | \n", + "pc3 | \n", + "pc4 | \n", + "pc5 | \n", + "pc6 | \n", + "pc7 | \n", + "clusters | \n", + "diagnosis | \n", + "
|---|---|---|---|---|---|---|---|---|---|
| 0 | \n", + "9.192837 | \n", + "1.948583 | \n", + "-1.123166 | \n", + "3.633731 | \n", + "-1.195110 | \n", + "1.411424 | \n", + "2.159370 | \n", + "1 | \n", + "M | \n", + "
| 1 | \n", + "2.387802 | \n", + "-3.768172 | \n", + "-0.529293 | \n", + "1.118264 | \n", + "0.621775 | \n", + "0.028656 | \n", + "0.013358 | \n", + "1 | \n", + "M | \n", + "
| 2 | \n", + "5.733896 | \n", + "-1.075174 | \n", + "-0.551748 | \n", + "0.912083 | \n", + "-0.177086 | \n", + "0.541452 | \n", + "-0.668166 | \n", + "1 | \n", + "M | \n", + "
| 3 | \n", + "7.122953 | \n", + "10.275589 | \n", + "-3.232790 | \n", + "0.152547 | \n", + "-2.960878 | \n", + "3.053422 | \n", + "1.429911 | \n", + "1 | \n", + "M | \n", + "
| 4 | \n", + "3.935302 | \n", + "-1.948072 | \n", + "1.389767 | \n", + "2.940639 | \n", + "0.546747 | \n", + "-1.226495 | \n", + "-0.936213 | \n", + "1 | \n", + "M | \n", + "