{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Equity premium prediction with python and Keras\n", "\n", "* An exploratory data analysis and a demo of classification using a feedforward neural network written in python using the [Keras](https://keras.io/) machine learning framework\n", "* Using [dataset](http://www.hec.unil.ch/agoyal/docs/PredictorData2016.xlsx) from [Prof. Amit Goyal](http://www.hec.unil.ch/agoyal/), we attempt to predict quarterly equity outperformance based on fundamental data like interest rates, valuation.\n", "* Train binary classifier to predict whether next quarter's equity premium will be above or below long term average\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Using TensorFlow backend.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "6882\n" ] } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "\n", "import sklearn\n", "from sklearn import preprocessing\n", "from sklearn.decomposition import PCA\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.model_selection import StratifiedKFold\n", "from sklearn.model_selection import cross_val_score\n", "from sklearn.model_selection import GridSearchCV\n", "from sklearn.utils import class_weight\n", "\n", "from pprint import pprint\n", "import time\n", "import copy\n", "\n", "\n", "from keras.models import Sequential\n", "from keras.layers import Dense, Dropout\n", "from keras import regularizers\n", "from keras import optimizers\n", "from keras.optimizers import Adam\n", "from keras.wrappers.scikit_learn import KerasClassifier\n", "from keras.models import model_from_json\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "#use a fixed seed for reproducibility\n", "#seed = np.random.randint(10000, size=1)[0]\n", "seed = 6882\n", "print(seed)\n", "np.random.seed(seed)\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading data...\n" ] }, { "data": { "text/html": [ "
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330 | \n", "333 | \n", "22.037 | \n", "67.100 | \n", "0.424177 | \n", "0.0012 | \n", "0.010587 | \n", "0.024087 | \n", "-0.000613 | \n", "0.018713 | \n", "0.038213 | \n", "... | \n", "0.112136 | \n", "0.065943 | \n", "0.010495 | \n", "-0.0003 | \n", "0.000205 | \n", "-0.010095 | \n", "0.006505 | \n", "-0.019728 | \n", "0.206711 | \n", "1 | \n", "
331 | \n", "334 | \n", "22.353 | \n", "71.860 | \n", "0.384306 | \n", "0.0015 | \n", "0.015839 | \n", "0.027139 | \n", "0.004639 | \n", "0.003227 | \n", "0.029461 | \n", "... | \n", "-0.066957 | \n", "-0.034212 | \n", "-0.007103 | \n", "-0.0006 | \n", "-0.008280 | \n", "-0.015380 | \n", "-0.006080 | \n", "0.123606 | \n", "0.028493 | \n", "1 | \n", "
332 | \n", "335 | \n", "22.729 | \n", "77.350 | \n", "0.358100 | \n", "0.0014 | \n", "0.023819 | \n", "0.034619 | \n", "0.015019 | \n", "0.012555 | \n", "0.026381 | \n", "... | \n", "-0.138471 | \n", "-0.079181 | \n", "-0.004741 | \n", "-0.0007 | \n", "-0.010475 | \n", "-0.011175 | \n", "-0.006275 | \n", "-0.098336 | \n", "-0.132506 | \n", "1 | \n", "
333 | \n", "336 | \n", "23.431 | \n", "81.310 | \n", "0.354270 | \n", "0.0010 | \n", "0.034635 | \n", "0.043635 | \n", "0.026235 | \n", "0.012445 | \n", "0.016665 | \n", "... | \n", "0.072980 | \n", "0.017832 | \n", "0.000626 | \n", "0.0010 | \n", "-0.008456 | \n", "-0.009556 | \n", "-0.008556 | \n", "0.066447 | \n", "0.039697 | \n", "0 | \n", "
334 | \n", "337 | \n", "24.341 | \n", "83.870 | \n", "0.351570 | \n", "0.0004 | \n", "0.029999 | \n", "0.037599 | \n", "0.020499 | \n", "0.011718 | \n", "0.019901 | \n", "... | \n", "0.046319 | \n", "0.039739 | \n", "-0.000411 | \n", "-0.0003 | \n", "-0.006895 | \n", "-0.003395 | \n", "-0.011195 | \n", "0.112136 | \n", "0.065943 | \n", "0 | \n", "
335 | \n", "338 | \n", "25.181 | \n", "86.980 | \n", "0.399923 | \n", "0.0001 | \n", "0.023439 | \n", "0.035239 | \n", "0.009039 | \n", "0.013201 | \n", "0.017461 | \n", "... | \n", "0.174531 | \n", "0.105940 | \n", "0.024103 | \n", "0.0003 | \n", "0.005252 | \n", "0.003052 | \n", "0.005252 | \n", "-0.066957 | \n", "-0.034212 | \n", "1 | \n", "
336 | \n", "339 | \n", "26.425 | \n", "86.950 | \n", "0.357233 | \n", "0.0001 | \n", "0.024508 | \n", "0.037708 | \n", "0.010008 | \n", "-0.006505 | \n", "0.014792 | \n", "... | \n", "-0.191170 | \n", "-0.110793 | \n", "-0.010124 | \n", "-0.0001 | \n", "0.007980 | \n", "0.007480 | \n", "0.010380 | \n", "-0.138471 | \n", "-0.079181 | \n", "1 | \n", "
337 | \n", "340 | \n", "27.353 | \n", "88.540 | \n", "0.346182 | \n", "0.0008 | \n", "0.022343 | \n", "0.034743 | \n", "0.011443 | \n", "-0.013792 | \n", "0.017557 | \n", "... | \n", "-0.069581 | \n", "-0.029160 | \n", "-0.015417 | \n", "-0.0004 | \n", "0.010816 | \n", "0.009016 | \n", "0.011216 | \n", "0.072980 | \n", "0.017832 | \n", "0 | \n", "
338 | \n", "341 | \n", "28.320 | \n", "87.920 | \n", "0.355104 | \n", "0.0009 | \n", "0.024486 | \n", "0.038286 | \n", "0.010586 | \n", "-0.019832 | \n", "0.011914 | \n", "... | \n", "0.141781 | \n", "0.073003 | \n", "0.004134 | \n", "-0.0006 | \n", "-0.004636 | \n", "-0.006036 | \n", "-0.005736 | \n", "0.046319 | \n", "0.039739 | \n", "1 | \n", "
339 | \n", "342 | \n", "29.590 | \n", "86.500 | \n", "0.340383 | \n", "0.0011 | \n", "0.019880 | \n", "0.033380 | \n", "0.007580 | \n", "-0.018256 | \n", "0.015020 | \n", "... | \n", "-0.089890 | \n", "-0.029066 | \n", "-0.003236 | \n", "-0.0003 | \n", "-0.006559 | \n", "-0.002359 | \n", "-0.011459 | \n", "0.174531 | \n", "0.105940 | \n", "0 | \n", "
340 | \n", "343 | \n", "31.247 | \n", "86.510 | \n", "0.349032 | \n", "0.0007 | \n", "0.021375 | \n", "0.031175 | \n", "0.008975 | \n", "-0.012266 | \n", "0.015125 | \n", "... | \n", "-0.010356 | \n", "-0.033143 | \n", "0.000539 | \n", "0.0000 | \n", "0.001069 | \n", "0.002469 | \n", "0.000969 | \n", "-0.191170 | \n", "-0.110793 | \n", "1 | \n", "
341 | \n", "344 | \n", "32.112 | \n", "87.700 | \n", "0.346130 | \n", "0.0009 | \n", "0.018640 | \n", "0.027840 | \n", "0.007740 | \n", "-0.009548 | \n", "0.020660 | \n", "... | \n", "-0.020759 | \n", "-0.028992 | \n", "-0.001230 | \n", "0.0007 | \n", "-0.002165 | \n", "-0.002965 | \n", "0.001435 | \n", "-0.069581 | \n", "-0.029160 | \n", "1 | \n", "
342 | \n", "345 | \n", "33.266 | \n", "90.950 | \n", "0.338444 | \n", "0.0005 | \n", "0.026111 | \n", "0.035311 | \n", "0.016311 | \n", "0.000141 | \n", "0.016589 | \n", "... | \n", "-0.026954 | \n", "-0.032857 | \n", "0.002312 | \n", "0.0001 | \n", "0.002144 | \n", "0.003544 | \n", "-0.000856 | \n", "0.141781 | \n", "0.073003 | \n", "1 | \n", "
343 | \n", "346 | \n", "34.404 | \n", "94.370 | \n", "0.333521 | \n", "0.0002 | \n", "0.038637 | \n", "0.046937 | \n", "0.026437 | \n", "0.010142 | \n", "0.007763 | \n", "... | \n", "0.036078 | \n", "0.053978 | \n", "-0.002871 | \n", "0.0002 | \n", "-0.004607 | \n", "-0.004907 | \n", "-0.003007 | \n", "-0.089890 | \n", "-0.029066 | \n", "1 | \n", "
344 | \n", "347 | \n", "34.992 | \n", "100.200 | \n", "0.304408 | \n", "0.0007 | \n", "0.046791 | \n", "0.054391 | \n", "0.037291 | \n", "0.012184 | \n", "-0.000591 | \n", "... | \n", "-0.012456 | \n", "0.015450 | \n", "0.000754 | \n", "-0.0004 | \n", "0.001495 | \n", "-0.002205 | \n", "0.001395 | \n", "-0.010356 | \n", "-0.033143 | \n", "0 | \n", "
345 | \n", "348 | \n", "36.228 | \n", "100.850 | \n", "0.350616 | \n", "0.0005 | \n", "0.042398 | \n", "0.049198 | \n", "0.031698 | \n", "0.016464 | \n", "0.001402 | \n", "... | \n", "0.100872 | \n", "0.044448 | \n", "0.000598 | \n", "0.0002 | \n", "-0.002735 | \n", "-0.003335 | \n", "-0.001235 | \n", "-0.020759 | \n", "-0.028992 | \n", "1 | \n", "
346 | \n", "349 | \n", "37.381 | \n", "103.120 | \n", "0.342928 | \n", "0.0004 | \n", "0.042693 | \n", "0.048193 | \n", "0.030893 | \n", "0.013931 | \n", "-0.000193 | \n", "... | \n", "-0.025411 | \n", "-0.019798 | \n", "-0.001226 | \n", "-0.0004 | \n", "0.007471 | \n", "0.007471 | \n", "0.008571 | \n", "-0.026954 | \n", "-0.032857 | \n", "0 | \n", "
347 | \n", "350 | \n", "38.495 | \n", "105.960 | \n", "0.338576 | \n", "0.0002 | \n", "0.033737 | \n", "0.040637 | \n", "0.022137 | \n", "0.008025 | \n", "0.007363 | \n", "... | \n", "-0.018806 | \n", "-0.027218 | \n", "0.000016 | \n", "-0.0003 | \n", "0.012526 | \n", "0.011626 | \n", "0.010126 | \n", "0.036078 | \n", "0.053978 | \n", "1 | \n", "
348 | \n", "351 | \n", "39.443 | \n", "102.310 | \n", "0.323756 | \n", "0.0003 | \n", "0.029309 | \n", "0.038809 | \n", "0.015409 | \n", "0.005642 | \n", "0.008591 | \n", "... | \n", "0.065100 | \n", "0.049271 | \n", "0.002871 | \n", "0.0005 | \n", "0.008154 | \n", "0.007454 | \n", "0.010854 | \n", "-0.012456 | \n", "0.015450 | \n", "0 | \n", "
349 | \n", "352 | \n", "40.807 | \n", "99.250 | \n", "0.307454 | \n", "0.0003 | \n", "0.026358 | \n", "0.035358 | \n", "0.012258 | \n", "-0.006900 | \n", "0.010042 | \n", "... | \n", "-0.061386 | \n", "-0.027291 | \n", "-0.000327 | \n", "-0.0002 | \n", "-0.004393 | \n", "-0.005193 | \n", "-0.005593 | \n", "0.100872 | \n", "0.044448 | \n", "0 | \n", "
350 | \n", "353 | \n", "41.742 | \n", "94.910 | \n", "0.310187 | \n", "0.0002 | \n", "0.027253 | \n", "0.036653 | \n", "0.011453 | \n", "-0.008102 | \n", "0.014647 | \n", "... | \n", "-0.097891 | \n", "-0.104827 | \n", "-0.002247 | \n", "-0.0001 | \n", "0.000295 | \n", "-0.001005 | \n", "-0.000805 | \n", "-0.025411 | \n", "-0.019798 | \n", "0 | \n", "
351 | \n", "354 | \n", "42.510 | \n", "90.660 | \n", "0.335612 | \n", "0.0002 | \n", "0.020069 | \n", "0.032769 | \n", "0.003369 | \n", "-0.012910 | \n", "0.020631 | \n", "... | \n", "0.121229 | \n", "0.103460 | \n", "0.008547 | \n", "-0.0002 | \n", "-0.008956 | \n", "-0.007556 | \n", "-0.008756 | \n", "-0.018806 | \n", "-0.027218 | \n", "1 | \n", "
352 rows × 32 columns
\n", "\n", " | 0 | \n", "1 | \n", "2 | \n", "3 | \n", "4 | \n", "5 | \n", "6 | \n", "7 | \n", "8 | \n", "9 | \n", "... | \n", "20 | \n", "21 | \n", "22 | \n", "23 | \n", "24 | \n", "25 | \n", "26 | \n", "27 | \n", "28 | \n", "29 | \n", "
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | \n", "-0.767621 | \n", "-0.689589 | \n", "-0.774685 | \n", "-0.099709 | \n", "0.519319 | \n", "0.428291 | \n", "0.379438 | \n", "2.381861 | \n", "-0.910326 | \n", "0.266007 | \n", "... | \n", "0.421662 | \n", "0.185423 | \n", "-0.071273 | \n", "0.018805 | \n", "-0.398291 | \n", "-0.782983 | \n", "-0.821576 | \n", "-0.870520 | \n", "0.451925 | \n", "0.085675 | \n", "
1 | \n", "-0.765478 | \n", "-0.686961 | \n", "-0.817516 | \n", "-0.067674 | \n", "0.380785 | \n", "0.297435 | \n", "0.240222 | \n", "1.486580 | \n", "-0.762275 | \n", "-0.164262 | \n", "... | \n", "0.434384 | \n", "-0.299704 | \n", "-0.089852 | \n", "-0.014161 | \n", "0.163439 | \n", "1.163271 | \n", "1.096738 | \n", "1.035651 | \n", "0.114856 | \n", "-0.002960 | \n", "
2 | \n", "-0.763335 | \n", "-0.684293 | \n", "-0.791125 | \n", "0.140554 | \n", "0.406691 | \n", "0.348599 | \n", "0.261890 | \n", "1.321980 | \n", "-0.762275 | \n", "-0.400750 | \n", "... | \n", "-0.006831 | \n", "-0.165443 | \n", "-0.361633 | \n", "0.313814 | \n", "-0.140831 | \n", "-2.005689 | \n", "-1.949039 | \n", "-1.937349 | \n", "-0.581140 | \n", "-0.198327 | \n", "
3 | \n", "-0.761192 | \n", "-0.681664 | \n", "-0.948962 | \n", "0.348782 | \n", "0.279979 | \n", "0.228911 | \n", "0.170875 | \n", "0.418281 | \n", "-0.616790 | \n", "-0.707137 | \n", "... | \n", "0.426733 | \n", "-0.213873 | \n", "0.307189 | \n", "-0.269523 | \n", "-0.445101 | \n", "0.777854 | \n", "0.708668 | \n", "0.770342 | \n", "0.164790 | \n", "0.242523 | \n", "
4 | \n", "-0.759049 | \n", "-0.678996 | \n", "-1.205563 | \n", "0.249473 | \n", "0.553026 | \n", "0.489048 | \n", "0.435564 | \n", "1.839043 | \n", "-0.908595 | \n", "0.040092 | \n", "... | \n", "-0.876449 | \n", "0.516128 | \n", "0.044673 | \n", "0.207974 | \n", "0.584736 | \n", "-0.442798 | \n", "-0.450921 | \n", "-0.479058 | \n", "0.187893 | \n", "-0.071330 | \n", "
5 | \n", "-0.755834 | \n", "-0.676721 | \n", "-1.158236 | \n", "0.358393 | \n", "0.852110 | \n", "0.793800 | \n", "0.808729 | \n", "2.516687 | \n", "-1.205575 | \n", "-1.142770 | \n", "... | \n", "-0.891871 | \n", "-0.821140 | \n", "-0.234620 | \n", "0.129286 | \n", "0.128331 | \n", "-0.399259 | \n", "-0.394191 | \n", "-0.388096 | \n", "-0.301823 | \n", "-0.090078 | \n", "
6 | \n", "-0.752620 | \n", "-0.674484 | \n", "-1.228362 | \n", "0.422463 | \n", "1.424413 | \n", "1.352177 | \n", "1.352862 | \n", "3.990253 | \n", "-1.799575 | \n", "0.157329 | \n", "... | \n", "-1.777035 | \n", "0.899185 | \n", "0.051657 | \n", "0.030703 | \n", "0.771979 | \n", "0.082991 | \n", "0.164810 | \n", "0.068793 | \n", "-0.166292 | \n", "-0.364338 | \n", "
7 | \n", "-0.749405 | \n", "-0.672248 | \n", "-1.260999 | \n", "0.351986 | \n", "2.004710 | \n", "1.933677 | \n", "1.958135 | \n", "4.200511 | \n", "-2.412188 | \n", "-0.329478 | \n", "... | \n", "-1.832500 | \n", "-0.338877 | \n", "0.090419 | \n", "-0.028619 | \n", "0.771979 | \n", "-0.364587 | \n", "-0.359895 | \n", "-0.251214 | \n", "-0.215180 | \n", "0.310585 | \n", "
8 | \n", "-0.746191 | \n", "-0.669973 | \n", "-0.910407 | \n", "-0.144558 | \n", "2.294717 | \n", "2.198710 | \n", "2.201640 | \n", "5.906464 | \n", "-2.754837 | \n", "0.828413 | \n", "... | \n", "-1.027973 | \n", "0.800656 | \n", "0.279277 | \n", "7.089744 | \n", "-0.351480 | \n", "0.807774 | \n", "0.806583 | \n", "0.758939 | \n", "0.521726 | \n", "0.045674 | \n", "
9 | \n", "-0.745869 | \n", "-0.676250 | \n", "-0.982851 | \n", "-0.170187 | \n", "2.898424 | \n", "2.731137 | \n", "2.818806 | \n", "5.176581 | \n", "-3.412602 | \n", "0.018082 | \n", "... | \n", "-1.967060 | \n", "-0.563031 | \n", "0.037204 | \n", "-7.354659 | \n", "0.409195 | \n", "0.884135 | \n", "0.943601 | \n", "1.066998 | \n", "-0.828192 | \n", "-0.236167 | \n", "
10 | \n", "-0.745655 | \n", "-0.682527 | \n", "-0.667222 | \n", "-0.509759 | \n", "2.762247 | \n", "2.624753 | \n", "2.674777 | \n", "4.589664 | \n", "-3.279654 | \n", "0.060034 | \n", "... | \n", "0.389372 | \n", "0.027475 | \n", "-0.029610 | \n", "1.261790 | \n", "0.245358 | \n", "1.685392 | \n", "1.722505 | \n", "1.552522 | \n", "0.908407 | \n", "0.052722 | \n", "
11 | \n", "-0.745334 | \n", "-0.688805 | \n", "-0.509109 | \n", "-0.548201 | \n", "2.645580 | \n", "2.519002 | \n", "2.581993 | \n", "4.435772 | \n", "-3.192725 | \n", "-0.053735 | \n", "... | \n", "0.252228 | \n", "-0.080417 | \n", "0.079835 | \n", "-0.645896 | \n", "-0.246156 | \n", "1.708838 | \n", "1.793519 | \n", "1.726152 | \n", "-0.341366 | \n", "0.091837 | \n", "
12 | \n", "-0.745119 | \n", "-0.695082 | \n", "-0.100182 | \n", "-0.641103 | \n", "2.905582 | \n", "2.978149 | \n", "2.838161 | \n", "3.896661 | \n", "-3.445420 | \n", "-0.300079 | \n", "... | \n", "-0.759896 | \n", "-0.172271 | \n", "-0.565611 | \n", "1.191043 | \n", "-1.802614 | \n", "0.857512 | \n", "0.821622 | \n", "0.698780 | \n", "0.808945 | \n", "0.282419 | \n", "
13 | \n", "-0.749405 | \n", "-0.698613 | \n", "-0.196157 | \n", "-0.673138 | \n", "2.793012 | \n", "2.840675 | \n", "2.759195 | \n", "2.280408 | \n", "-3.357836 | \n", "-0.171356 | \n", "... | \n", "0.254181 | \n", "0.087595 | \n", "0.671341 | \n", "-1.227832 | \n", "-0.082318 | \n", "1.777490 | \n", "1.642809 | \n", "1.759927 | \n", "-0.567640 | \n", "0.038137 | \n", "
14 | \n", "-0.753691 | \n", "-0.702144 | \n", "0.096583 | \n", "-0.939029 | \n", "2.976317 | \n", "3.225152 | \n", "2.922511 | \n", "1.866470 | \n", "-3.561285 | \n", "0.192956 | \n", "... | \n", "-0.613136 | \n", "0.250823 | \n", "-0.183756 | \n", "1.897846 | \n", "-1.229182 | \n", "-0.392345 | \n", "-0.319034 | \n", "-0.401763 | \n", "0.028451 | \n", "-0.029287 | \n", "
15 | \n", "-0.757977 | \n", "-0.705675 | \n", "1.357994 | \n", "-0.971065 | \n", "2.920299 | \n", "3.287915 | \n", "2.901358 | \n", "0.514341 | \n", "-3.453597 | \n", "-0.979999 | \n", "... | \n", "0.314093 | \n", "-0.814276 | \n", "-0.330166 | \n", "-0.149046 | \n", "-0.129129 | \n", "-0.335127 | \n", "-0.317092 | \n", "-0.256237 | \n", "-0.080461 | \n", "0.081157 | \n", "
16 | \n", "-0.762263 | \n", "-0.709206 | \n", "2.207338 | \n", "-0.343176 | \n", "3.032685 | \n", "3.745551 | \n", "2.960875 | \n", "-1.238768 | \n", "-3.379904 | \n", "-1.424245 | \n", "... | \n", "0.212785 | \n", "-0.309388 | \n", "-1.393125 | \n", "3.084688 | \n", "-0.328074 | \n", "0.769517 | \n", "1.417760 | \n", "0.734741 | \n", "-0.173185 | \n", "-0.570177 | \n", "
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19 | \n", "-0.787979 | \n", "-0.715091 | \n", "2.370793 | \n", "-1.105612 | \n", "0.226078 | \n", "0.607336 | \n", "0.029099 | \n", "-0.686104 | \n", "-0.536535 | \n", "0.853027 | \n", "... | \n", "1.672420 | \n", "0.104917 | \n", "1.409625 | \n", "2.006815 | \n", "-0.105723 | \n", "-0.157266 | \n", "0.200431 | \n", "-0.052815 | \n", "-0.821262 | \n", "-0.332584 | \n", "
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... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "... | \n", "
322 | \n", "2.226342 | \n", "1.282266 | \n", "-1.150029 | \n", "-0.519369 | \n", "0.954547 | \n", "0.957295 | \n", "0.877336 | \n", "-2.675697 | \n", "-1.068394 | \n", "-0.823140 | \n", "... | \n", "0.100116 | \n", "-0.859490 | \n", "-0.218477 | \n", "-0.496480 | \n", "-0.374885 | \n", "0.401293 | \n", "0.356687 | \n", "0.253986 | \n", "-0.433020 | \n", "-0.301789 | \n", "
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324 | \n", "2.191518 | \n", "-0.149349 | \n", "-0.848498 | \n", "-1.105612 | \n", "-0.018045 | \n", "0.481298 | \n", "-0.343254 | \n", "-1.718515 | \n", "-0.187550 | \n", "4.125837 | \n", "... | \n", "-0.307802 | \n", "2.582829 | \n", "5.131648 | \n", "6.368563 | \n", "-1.030236 | \n", "0.167547 | \n", "0.378253 | \n", "0.070451 | \n", "0.146491 | \n", "-0.097099 | \n", "
325 | \n", "2.070226 | \n", "-0.463999 | \n", "-0.507021 | \n", "-1.047949 | \n", "0.382175 | \n", "0.757005 | \n", "0.082742 | \n", "-2.244807 | \n", "-0.502005 | \n", "-1.618973 | \n", "... | \n", "-0.943951 | \n", "-3.981896 | \n", "-5.760390 | \n", "-5.555482 | \n", "-2.024965 | \n", "0.762035 | \n", "0.904807 | \n", "0.617938 | \n", "-0.390538 | \n", "-0.501455 | \n", "
326 | \n", "1.892251 | \n", "-0.438497 | \n", "-0.672838 | \n", "-1.057559 | \n", "0.387001 | \n", "0.532436 | \n", "0.239355 | \n", "-1.627570 | \n", "-0.479477 | \n", "-2.042352 | \n", "... | \n", "0.060305 | \n", "-0.294931 | \n", "3.326101 | \n", "-1.918137 | \n", "0.713465 | \n", "0.025953 | \n", "0.033241 | \n", "0.101213 | \n", "-0.866904 | \n", "-0.219877 | \n", "
327 | \n", "1.710847 | \n", "-0.241155 | \n", "-0.868962 | \n", "-1.076780 | \n", "0.191993 | \n", "0.190294 | \n", "0.092966 | \n", "-0.717481 | \n", "-0.391883 | \n", "0.610392 | \n", "... | \n", "0.254213 | \n", "1.836368 | \n", "0.458202 | \n", "-0.736489 | \n", "-0.842993 | \n", "-2.708011 | \n", "-2.493444 | \n", "-2.776191 | \n", "0.851588 | \n", "-0.981971 | \n", "
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330 | \n", "1.511121 | \n", "1.899403 | \n", "-0.589300 | \n", "-1.076780 | \n", "-0.416249 | \n", "-0.346417 | \n", "-0.533652 | \n", "0.043060 | \n", "0.195223 | \n", "2.332615 | \n", "... | \n", "0.217845 | \n", "1.665816 | \n", "1.060850 | \n", "0.806166 | \n", "-0.023804 | \n", "0.021172 | \n", "-0.681995 | \n", "0.452017 | \n", "-0.297004 | \n", "3.357037 | \n", "
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332 | \n", "1.585268 | \n", "2.301542 | \n", "-0.836825 | \n", "-1.070373 | \n", "-0.104639 | \n", "-0.112142 | \n", "-0.157313 | \n", "-0.206271 | \n", "-0.102558 | \n", "-2.076139 | \n", "... | \n", "-0.237837 | \n", "-2.060587 | \n", "-1.274514 | \n", "-0.366757 | \n", "-0.070615 | \n", "-0.716462 | \n", "-0.755776 | \n", "-0.421782 | \n", "-1.476920 | \n", "-2.151486 | \n", "
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335 | \n", "1.847998 | \n", "2.679357 | \n", "-0.680156 | \n", "-1.112019 | \n", "-0.113572 | \n", "-0.098335 | \n", "-0.301270 | \n", "-0.180138 | \n", "-0.327081 | \n", "4.229796 | \n", "... | \n", "-0.189890 | \n", "2.593591 | \n", "1.704492 | \n", "1.853809 | \n", "0.046412 | \n", "0.369725 | \n", "0.216153 | \n", "0.366318 | \n", "-1.005928 | \n", "-0.555292 | \n", "
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338 | \n", "2.184339 | \n", "2.716236 | \n", "-0.848050 | \n", "-1.086391 | \n", "-0.088912 | \n", "-0.030550 | \n", "-0.264022 | \n", "-1.517643 | \n", "-0.466695 | \n", "1.676559 | \n", "... | \n", "-0.430150 | \n", "2.106621 | \n", "1.174458 | \n", "0.316439 | \n", "-0.058912 | \n", "-0.313174 | \n", "-0.404685 | \n", "-0.384924 | \n", "0.694356 | \n", "0.645590 | \n", "
339 | \n", "2.320419 | \n", "2.660525 | \n", "-0.903196 | \n", "-1.079984 | \n", "-0.197401 | \n", "-0.139699 | \n", "-0.336408 | \n", "-1.453840 | \n", "-0.388506 | \n", "-0.252597 | \n", "... | \n", "0.226182 | \n", "-1.338211 | \n", "-0.468046 | \n", "-0.250944 | \n", "-0.023804 | \n", "-0.446022 | \n", "-0.153512 | \n", "-0.776251 | \n", "2.618840 | \n", "1.720635 | \n", "
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343 | \n", "2.836235 | \n", "2.969290 | \n", "-0.928899 | \n", "-1.108816 | \n", "0.244345 | \n", "0.161884 | \n", "0.117594 | \n", "-0.303996 | \n", "-0.571158 | \n", "-0.724516 | \n", "... | \n", "-0.668807 | \n", "0.534874 | \n", "0.868312 | \n", "-0.222842 | \n", "0.034709 | \n", "-0.311144 | \n", "-0.327527 | \n", "-0.198309 | \n", "-1.350154 | \n", "-0.471722 | \n", "
344 | \n", "2.899239 | \n", "3.198019 | \n", "-1.037959 | \n", "-1.092798 | \n", "0.436371 | \n", "0.327695 | \n", "0.378906 | \n", "-0.221332 | \n", "-0.781410 | \n", "-0.991838 | \n", "... | \n", "-0.633410 | \n", "-0.186806 | \n", "0.248306 | \n", "0.056213 | \n", "-0.035507 | \n", "0.110304 | \n", "-0.142931 | \n", "0.102668 | \n", "-0.156328 | \n", "-0.537935 | \n", "
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350 | \n", "3.622496 | \n", "2.990476 | \n", "-1.016312 | \n", "-1.108816 | \n", "-0.023756 | \n", "-0.066886 | \n", "-0.243158 | \n", "-1.042688 | \n", "-0.397899 | \n", "-1.797134 | \n", "... | \n", "0.338581 | \n", "-1.457185 | \n", "-1.687210 | \n", "-0.174794 | \n", "-0.000399 | \n", "0.027389 | \n", "-0.060984 | \n", "-0.047786 | \n", "-0.382316 | \n", "-0.321223 | \n", "
351 | \n", "3.704786 | \n", "2.823735 | \n", "-0.921068 | \n", "-1.108816 | \n", "-0.192953 | \n", "-0.153295 | \n", "-0.437796 | \n", "-1.237392 | \n", "-0.247280 | \n", "0.804591 | \n", "... | \n", "0.442033 | \n", "1.801020 | \n", "1.664571 | \n", "0.656181 | \n", "-0.012102 | \n", "-0.611525 | \n", "-0.508509 | \n", "-0.591390 | \n", "-0.283173 | \n", "-0.441713 | \n", "
352 rows × 30 columns
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