Skip to content

Instantly share code, notes, and snippets.

@nogawanogawa

nogawanogawa/component_analysis.ipynb

Last active July 2, 2018 13:48
Show Gist options
  • Save nogawanogawa/ee407dda014d13ac959c340478f0a592 to your computer and use it in GitHub Desktop.
Save nogawanogawa/ee407dda014d13ac959c340478f0a592 to your computer and use it in GitHub Desktop.
Download ZIP
Display the source blob
Display the rendered blob
Raw
component_analysis.ipynb
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<thead><tr><th scope=col>Country</th><th scope=col>Happiness.Rank</th><th scope=col>Happiness.Score</th><th scope=col>Whisker.high</th><th scope=col>Whisker.low</th><th scope=col>Economy..GDP.per.Capita.</th><th scope=col>Family</th><th scope=col>Health..Life.Expectancy.</th><th scope=col>Freedom</th><th scope=col>Generosity</th><th scope=col>Trust..Government.Corruption.</th><th scope=col>Dystopia.Residual</th></tr></thead>\n",
"<tbody>\n",
"\t<tr><td>Norway </td><td> 1 </td><td>7.537 </td><td>7.594445 </td><td>7.479556 </td><td>1.6164632 </td><td>1.533524 </td><td>0.7966665 </td><td>0.6354226 </td><td>0.36201224 </td><td>0.31596383 </td><td>2.277027 </td></tr>\n",
"\t<tr><td>Denmark </td><td> 2 </td><td>7.522 </td><td>7.581728 </td><td>7.462272 </td><td>1.4823830 </td><td>1.551122 </td><td>0.7925655 </td><td>0.6260067 </td><td>0.35528049 </td><td>0.40077007 </td><td>2.313707 </td></tr>\n",
"\t<tr><td>Iceland </td><td> 3 </td><td>7.504 </td><td>7.622030 </td><td>7.385970 </td><td>1.4806330 </td><td>1.610574 </td><td>0.8335521 </td><td>0.6271626 </td><td>0.47554022 </td><td>0.15352656 </td><td>2.322715 </td></tr>\n",
"\t<tr><td>Switzerland </td><td> 4 </td><td>7.494 </td><td>7.561772 </td><td>7.426227 </td><td>1.5649796 </td><td>1.516912 </td><td>0.8581313 </td><td>0.6200706 </td><td>0.29054928 </td><td>0.36700729 </td><td>2.276716 </td></tr>\n",
"\t<tr><td>Finland </td><td> 5 </td><td>7.469 </td><td>7.527542 </td><td>7.410458 </td><td>1.4435719 </td><td>1.540247 </td><td>0.8091577 </td><td>0.6179509 </td><td>0.24548277 </td><td>0.38261154 </td><td>2.430182 </td></tr>\n",
"\t<tr><td>Netherlands </td><td> 6 </td><td>7.377 </td><td>7.427426 </td><td>7.326574 </td><td>1.5039446 </td><td>1.428939 </td><td>0.8106961 </td><td>0.5853845 </td><td>0.47048983 </td><td>0.28266183 </td><td>2.294804 </td></tr>\n",
"\t<tr><td>Canada </td><td> 7 </td><td>7.316 </td><td>7.384403 </td><td>7.247597 </td><td>1.4792044 </td><td>1.481349 </td><td>0.8345577 </td><td>0.6111009 </td><td>0.43553972 </td><td>0.28737152 </td><td>2.187264 </td></tr>\n",
"\t<tr><td>New Zealand </td><td> 8 </td><td>7.314 </td><td>7.379510 </td><td>7.248490 </td><td>1.4057060 </td><td>1.548195 </td><td>0.8167597 </td><td>0.6140621 </td><td>0.50000513 </td><td>0.38281670 </td><td>2.046456 </td></tr>\n",
"\t<tr><td>Sweden </td><td> 9 </td><td>7.284 </td><td>7.344095 </td><td>7.223905 </td><td>1.4943873 </td><td>1.478162 </td><td>0.8308752 </td><td>0.6129241 </td><td>0.38539925 </td><td>0.38439873 </td><td>2.097538 </td></tr>\n",
"\t<tr><td>Australia </td><td>10 </td><td>7.284 </td><td>7.356651 </td><td>7.211349 </td><td>1.4844149 </td><td>1.510042 </td><td>0.8438868 </td><td>0.6016074 </td><td>0.47769925 </td><td>0.30118373 </td><td>2.065211 </td></tr>\n",
"\t<tr><td>Israel </td><td>11 </td><td>7.213 </td><td>7.279853 </td><td>7.146146 </td><td>1.3753824 </td><td>1.376290 </td><td>0.8384040 </td><td>0.4059886 </td><td>0.33008265 </td><td>0.08524210 </td><td>2.801757 </td></tr>\n",
"\t<tr><td>Costa Rica </td><td>12 </td><td>7.079 </td><td>7.168112 </td><td>6.989888 </td><td>1.1097063 </td><td>1.416404 </td><td>0.7595093 </td><td>0.5801316 </td><td>0.21461323 </td><td>0.10010659 </td><td>2.898639 </td></tr>\n",
"\t<tr><td>Austria </td><td>13 </td><td>7.006 </td><td>7.070670 </td><td>6.941330 </td><td>1.4870973 </td><td>1.459945 </td><td>0.8153284 </td><td>0.5677662 </td><td>0.31647232 </td><td>0.22106037 </td><td>2.138506 </td></tr>\n",
"\t<tr><td>United States </td><td>14 </td><td>6.993 </td><td>7.074657 </td><td>6.911343 </td><td>1.5462593 </td><td>1.419921 </td><td>0.7742866 </td><td>0.5057405 </td><td>0.39257878 </td><td>0.13563879 </td><td>2.218113 </td></tr>\n",
"\t<tr><td>Ireland </td><td>15 </td><td>6.977 </td><td>7.043352 </td><td>6.910649 </td><td>1.5357066 </td><td>1.558231 </td><td>0.8097826 </td><td>0.5731103 </td><td>0.42785832 </td><td>0.29838815 </td><td>1.773869 </td></tr>\n",
"\t<tr><td>Germany </td><td>16 </td><td>6.951 </td><td>7.005382 </td><td>6.896619 </td><td>1.4879234 </td><td>1.472520 </td><td>0.7989507 </td><td>0.5625114 </td><td>0.33626917 </td><td>0.27673194 </td><td>2.015770 </td></tr>\n",
"\t<tr><td>Belgium </td><td>17 </td><td>6.891 </td><td>6.955821 </td><td>6.826179 </td><td>1.4637808 </td><td>1.462313 </td><td>0.8180919 </td><td>0.5397707 </td><td>0.23150334 </td><td>0.25134313 </td><td>2.124210 </td></tr>\n",
"\t<tr><td>Luxembourg </td><td>18 </td><td>6.863 </td><td>6.923686 </td><td>6.802314 </td><td>1.7419436 </td><td>1.457584 </td><td>0.8450895 </td><td>0.5966279 </td><td>0.28318098 </td><td>0.31883442 </td><td>1.619512 </td></tr>\n",
"\t<tr><td>United Kingdom </td><td>19 </td><td>6.714 </td><td>6.783792 </td><td>6.644209 </td><td>1.4416339 </td><td>1.496460 </td><td>0.8053359 </td><td>0.5081900 </td><td>0.49277416 </td><td>0.26542807 </td><td>1.704144 </td></tr>\n",
"\t<tr><td>Chile </td><td>20 </td><td>6.652 </td><td>6.739251 </td><td>6.564749 </td><td>1.2527846 </td><td>1.284025 </td><td>0.8194797 </td><td>0.3768953 </td><td>0.32666242 </td><td>0.08228798 </td><td>2.509586 </td></tr>\n",
"\t<tr><td>United Arab Emirates</td><td>21 </td><td>6.648 </td><td>6.722047 </td><td>6.573952 </td><td>1.6263434 </td><td>1.266410 </td><td>0.7267982 </td><td>0.6083453 </td><td>0.36094195 </td><td>0.32448956 </td><td>1.734704 </td></tr>\n",
"\t<tr><td>Brazil </td><td>22 </td><td>6.635 </td><td>6.725470 </td><td>6.544531 </td><td>1.1073532 </td><td>1.431306 </td><td>0.6165524 </td><td>0.4374537 </td><td>0.16234989 </td><td>0.11109276 </td><td>2.769267 </td></tr>\n",
"\t<tr><td>Czech Republic </td><td>23 </td><td>6.609 </td><td>6.683862 </td><td>6.534138 </td><td>1.3526824 </td><td>1.433885 </td><td>0.7544440 </td><td>0.4909462 </td><td>0.08810676 </td><td>0.03687293 </td><td>2.451862 </td></tr>\n",
"\t<tr><td>Argentina </td><td>24 </td><td>6.599 </td><td>6.690085 </td><td>6.507915 </td><td>1.1852955 </td><td>1.440451 </td><td>0.6951371 </td><td>0.4945192 </td><td>0.10945706 </td><td>0.05973989 </td><td>2.614005 </td></tr>\n",
"\t<tr><td>Mexico </td><td>25 </td><td>6.578 </td><td>6.671149 </td><td>6.484851 </td><td>1.1531838 </td><td>1.210862 </td><td>0.7099790 </td><td>0.4127300 </td><td>0.12099043 </td><td>0.13277411 </td><td>2.837155 </td></tr>\n",
"\t<tr><td>Singapore </td><td>26 </td><td>6.572 </td><td>6.636723 </td><td>6.507277 </td><td>1.6922777 </td><td>1.353814 </td><td>0.9494924 </td><td>0.5498406 </td><td>0.34596598 </td><td>0.46430779 </td><td>1.216362 </td></tr>\n",
"\t<tr><td>Malta </td><td>27 </td><td>6.527 </td><td>6.598397 </td><td>6.455603 </td><td>1.3432798 </td><td>1.488412 </td><td>0.8219442 </td><td>0.5887671 </td><td>0.57473058 </td><td>0.15306607 </td><td>1.556863 </td></tr>\n",
"\t<tr><td>Uruguay </td><td>28 </td><td>6.454 </td><td>6.545906 </td><td>6.362094 </td><td>1.2175597 </td><td>1.412228 </td><td>0.7192168 </td><td>0.5793923 </td><td>0.17509693 </td><td>0.17806187 </td><td>2.172410 </td></tr>\n",
"\t<tr><td>Guatemala </td><td>29 </td><td>6.454 </td><td>6.566874 </td><td>6.341126 </td><td>0.8720019 </td><td>1.255585 </td><td>0.5402400 </td><td>0.5313106 </td><td>0.28348839 </td><td>0.07722328 </td><td>2.893891 </td></tr>\n",
"\t<tr><td>Panama </td><td>30 </td><td>6.452 </td><td>6.557131 </td><td>6.346870 </td><td>1.2337484 </td><td>1.373193 </td><td>0.7061561 </td><td>0.5500268 </td><td>0.21055694 </td><td>0.07098392 </td><td>2.307200 </td></tr>\n",
"\t<tr><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
"\t<tr><td>Congo (Kinshasa) </td><td>126 </td><td>4.280 </td><td>4.357811 </td><td>4.202190 </td><td>0.09210235 </td><td>1.2290235 </td><td>0.19140702 </td><td>0.23596135 </td><td>0.24645583 </td><td>0.06024136 </td><td>2.2249587 </td></tr>\n",
"\t<tr><td>Mali </td><td>127 </td><td>4.190 </td><td>4.269671 </td><td>4.110329 </td><td>0.47618049 </td><td>1.2814734 </td><td>0.16936567 </td><td>0.30661374 </td><td>0.18335420 </td><td>0.10497025 </td><td>1.6681910 </td></tr>\n",
"\t<tr><td>Ivory Coast </td><td>128 </td><td>4.180 </td><td>4.275183 </td><td>4.084817 </td><td>0.60304892 </td><td>0.9047800 </td><td>0.04864217 </td><td>0.44770619 </td><td>0.20123747 </td><td>0.13006178 </td><td>1.8449643 </td></tr>\n",
"\t<tr><td>Cambodia </td><td>129 </td><td>4.168 </td><td>4.278518 </td><td>4.057483 </td><td>0.60176510 </td><td>1.0062383 </td><td>0.42978340 </td><td>0.63337582 </td><td>0.38592297 </td><td>0.06810595 </td><td>1.0429411 </td></tr>\n",
"\t<tr><td>Sudan </td><td>130 </td><td>4.139 </td><td>4.345747 </td><td>3.932253 </td><td>0.65951669 </td><td>1.2140086 </td><td>0.29092082 </td><td>0.01499586 </td><td>0.18231745 </td><td>0.08984752 </td><td>1.6870658 </td></tr>\n",
"\t<tr><td>Ghana </td><td>131 </td><td>4.120 </td><td>4.222707 </td><td>4.017293 </td><td>0.66722482 </td><td>0.8736647 </td><td>0.29563773 </td><td>0.42302629 </td><td>0.25692394 </td><td>0.02533637 </td><td>1.5778675 </td></tr>\n",
"\t<tr><td>Ukraine </td><td>132 </td><td>4.096 </td><td>4.185410 </td><td>4.006590 </td><td>0.89465195 </td><td>1.3945376 </td><td>0.57590395 </td><td>0.12297478 </td><td>0.27006146 </td><td>0.02302947 </td><td>0.8143823 </td></tr>\n",
"\t<tr><td>Uganda </td><td>133 </td><td>4.081 </td><td>4.195800 </td><td>3.966200 </td><td>0.38143072 </td><td>1.1298277 </td><td>0.21763261 </td><td>0.44318596 </td><td>0.32576606 </td><td>0.05706972 </td><td>1.5263627 </td></tr>\n",
"\t<tr><td>Burkina Faso </td><td>134 </td><td>4.032 </td><td>4.124059 </td><td>3.939941 </td><td>0.35022771 </td><td>1.0432800 </td><td>0.21584426 </td><td>0.32436785 </td><td>0.25086468 </td><td>0.12032811 </td><td>1.7272129 </td></tr>\n",
"\t<tr><td>Niger </td><td>135 </td><td>4.028 </td><td>4.111947 </td><td>3.944053 </td><td>0.16192533 </td><td>0.9930250 </td><td>0.26850501 </td><td>0.36365870 </td><td>0.22867385 </td><td>0.13857295 </td><td>1.8739834 </td></tr>\n",
"\t<tr><td>Malawi </td><td>136 </td><td>3.970 </td><td>4.077479 </td><td>3.862521 </td><td>0.23344204 </td><td>0.5125688 </td><td>0.31508958 </td><td>0.46691465 </td><td>0.28717047 </td><td>0.07271165 </td><td>2.0817862 </td></tr>\n",
"\t<tr><td>Chad </td><td>137 </td><td>3.936 </td><td>4.034712 </td><td>3.837289 </td><td>0.43801299 </td><td>0.9538559 </td><td>0.04113472 </td><td>0.16234203 </td><td>0.21611385 </td><td>0.05358188 </td><td>2.0712380 </td></tr>\n",
"\t<tr><td>Zimbabwe </td><td>138 </td><td>3.875 </td><td>3.978700 </td><td>3.771300 </td><td>0.37584653 </td><td>1.0830959 </td><td>0.19676375 </td><td>0.33638421 </td><td>0.18914349 </td><td>0.09537538 </td><td>1.5979702 </td></tr>\n",
"\t<tr><td>Lesotho </td><td>139 </td><td>3.808 </td><td>4.044344 </td><td>3.571656 </td><td>0.52102125 </td><td>1.1900952 </td><td>0.00000000 </td><td>0.39066130 </td><td>0.15749727 </td><td>0.11909464 </td><td>1.4298353 </td></tr>\n",
"\t<tr><td>Angola </td><td>140 </td><td>3.795 </td><td>3.951642 </td><td>3.638358 </td><td>0.85842818 </td><td>1.1044120 </td><td>0.04986867 </td><td>0.00000000 </td><td>0.09792649 </td><td>0.06972034 </td><td>1.6144824 </td></tr>\n",
"\t<tr><td>Afghanistan </td><td>141 </td><td>3.794 </td><td>3.873661 </td><td>3.714338 </td><td>0.40147722 </td><td>0.5815433 </td><td>0.18074678 </td><td>0.10617952 </td><td>0.31187093 </td><td>0.06115783 </td><td>2.1508012 </td></tr>\n",
"\t<tr><td>Botswana </td><td>142 </td><td>3.766 </td><td>3.874123 </td><td>3.657877 </td><td>1.12209415 </td><td>1.2215550 </td><td>0.34175551 </td><td>0.50519633 </td><td>0.09934845 </td><td>0.09858320 </td><td>0.3779137 </td></tr>\n",
"\t<tr><td>Benin </td><td>143 </td><td>3.657 </td><td>3.745784 </td><td>3.568217 </td><td>0.43108541 </td><td>0.4352998 </td><td>0.20993021 </td><td>0.42596278 </td><td>0.20794846 </td><td>0.06092902 </td><td>1.8856310 </td></tr>\n",
"\t<tr><td>Madagascar </td><td>144 </td><td>3.644 </td><td>3.714319 </td><td>3.573681 </td><td>0.30580869 </td><td>0.9130204 </td><td>0.37522331 </td><td>0.18919677 </td><td>0.20873253 </td><td>0.06723198 </td><td>1.5846126 </td></tr>\n",
"\t<tr><td>Haiti </td><td>145 </td><td>3.603 </td><td>3.734715 </td><td>3.471285 </td><td>0.36861026 </td><td>0.6404498 </td><td>0.27732113 </td><td>0.03036986 </td><td>0.48920378 </td><td>0.09987215 </td><td>1.6971676 </td></tr>\n",
"\t<tr><td>Yemen </td><td>146 </td><td>3.593 </td><td>3.692750 </td><td>3.493250 </td><td>0.59168345 </td><td>0.9353822 </td><td>0.31008092 </td><td>0.24946372 </td><td>0.10412521 </td><td>0.05676742 </td><td>1.3456006 </td></tr>\n",
"\t<tr><td>South Sudan </td><td>147 </td><td>3.591 </td><td>3.725539 </td><td>3.456462 </td><td>0.39724863 </td><td>0.6013231 </td><td>0.16348600 </td><td>0.14706244 </td><td>0.28567082 </td><td>0.11679351 </td><td>1.8795674 </td></tr>\n",
"\t<tr><td>Liberia </td><td>148 </td><td>3.533 </td><td>3.653756 </td><td>3.412244 </td><td>0.11904179 </td><td>0.8721179 </td><td>0.22991820 </td><td>0.33288118 </td><td>0.26654989 </td><td>0.03894825 </td><td>1.6732860 </td></tr>\n",
"\t<tr><td>Guinea </td><td>149 </td><td>3.507 </td><td>3.584428 </td><td>3.429572 </td><td>0.24454993 </td><td>0.7912447 </td><td>0.19412914 </td><td>0.34858751 </td><td>0.26481509 </td><td>0.11093762 </td><td>1.5523119 </td></tr>\n",
"\t<tr><td>Togo </td><td>150 </td><td>3.495 </td><td>3.594038 </td><td>3.395962 </td><td>0.30544472 </td><td>0.4318825 </td><td>0.24710557 </td><td>0.38042614 </td><td>0.19689615 </td><td>0.09566502 </td><td>1.8372293 </td></tr>\n",
"\t<tr><td>Rwanda </td><td>151 </td><td>3.471 </td><td>3.543030 </td><td>3.398970 </td><td>0.36874589 </td><td>0.9457070 </td><td>0.32642481 </td><td>0.58184385 </td><td>0.25275603 </td><td>0.45522001 </td><td>0.5400612 </td></tr>\n",
"\t<tr><td>Syria </td><td>152 </td><td>3.462 </td><td>3.663669 </td><td>3.260331 </td><td>0.77715313 </td><td>0.3961026 </td><td>0.50053334 </td><td>0.08153944 </td><td>0.49366373 </td><td>0.15134713 </td><td>1.0615735 </td></tr>\n",
"\t<tr><td>Tanzania </td><td>153 </td><td>3.349 </td><td>3.461430 </td><td>3.236570 </td><td>0.51113588 </td><td>1.0419898 </td><td>0.36450928 </td><td>0.39001778 </td><td>0.35425636 </td><td>0.06603511 </td><td>0.6211305 </td></tr>\n",
"\t<tr><td>Burundi </td><td>154 </td><td>2.905 </td><td>3.074690 </td><td>2.735310 </td><td>0.09162257 </td><td>0.6297936 </td><td>0.15161079 </td><td>0.05990075 </td><td>0.20443518 </td><td>0.08414795 </td><td>1.6830242 </td></tr>\n",
"\t<tr><td>Central African Republic</td><td>155 </td><td>2.693 </td><td>2.864884 </td><td>2.521116 </td><td>0.00000000 </td><td>0.0000000 </td><td>0.01877269 </td><td>0.27084205 </td><td>0.28087649 </td><td>0.05656508 </td><td>2.0660048 </td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"\\begin{tabular}{r|llllllllllll}\n",
" Country & Happiness.Rank & Happiness.Score & Whisker.high & Whisker.low & Economy..GDP.per.Capita. & Family & Health..Life.Expectancy. & Freedom & Generosity & Trust..Government.Corruption. & Dystopia.Residual\\\\\n",
"\\hline\n",
"\t Norway & 1 & 7.537 & 7.594445 & 7.479556 & 1.6164632 & 1.533524 & 0.7966665 & 0.6354226 & 0.36201224 & 0.31596383 & 2.277027 \\\\\n",
"\t Denmark & 2 & 7.522 & 7.581728 & 7.462272 & 1.4823830 & 1.551122 & 0.7925655 & 0.6260067 & 0.35528049 & 0.40077007 & 2.313707 \\\\\n",
"\t Iceland & 3 & 7.504 & 7.622030 & 7.385970 & 1.4806330 & 1.610574 & 0.8335521 & 0.6271626 & 0.47554022 & 0.15352656 & 2.322715 \\\\\n",
"\t Switzerland & 4 & 7.494 & 7.561772 & 7.426227 & 1.5649796 & 1.516912 & 0.8581313 & 0.6200706 & 0.29054928 & 0.36700729 & 2.276716 \\\\\n",
"\t Finland & 5 & 7.469 & 7.527542 & 7.410458 & 1.4435719 & 1.540247 & 0.8091577 & 0.6179509 & 0.24548277 & 0.38261154 & 2.430182 \\\\\n",
"\t Netherlands & 6 & 7.377 & 7.427426 & 7.326574 & 1.5039446 & 1.428939 & 0.8106961 & 0.5853845 & 0.47048983 & 0.28266183 & 2.294804 \\\\\n",
"\t Canada & 7 & 7.316 & 7.384403 & 7.247597 & 1.4792044 & 1.481349 & 0.8345577 & 0.6111009 & 0.43553972 & 0.28737152 & 2.187264 \\\\\n",
"\t New Zealand & 8 & 7.314 & 7.379510 & 7.248490 & 1.4057060 & 1.548195 & 0.8167597 & 0.6140621 & 0.50000513 & 0.38281670 & 2.046456 \\\\\n",
"\t Sweden & 9 & 7.284 & 7.344095 & 7.223905 & 1.4943873 & 1.478162 & 0.8308752 & 0.6129241 & 0.38539925 & 0.38439873 & 2.097538 \\\\\n",
"\t Australia & 10 & 7.284 & 7.356651 & 7.211349 & 1.4844149 & 1.510042 & 0.8438868 & 0.6016074 & 0.47769925 & 0.30118373 & 2.065211 \\\\\n",
"\t Israel & 11 & 7.213 & 7.279853 & 7.146146 & 1.3753824 & 1.376290 & 0.8384040 & 0.4059886 & 0.33008265 & 0.08524210 & 2.801757 \\\\\n",
"\t Costa Rica & 12 & 7.079 & 7.168112 & 6.989888 & 1.1097063 & 1.416404 & 0.7595093 & 0.5801316 & 0.21461323 & 0.10010659 & 2.898639 \\\\\n",
"\t Austria & 13 & 7.006 & 7.070670 & 6.941330 & 1.4870973 & 1.459945 & 0.8153284 & 0.5677662 & 0.31647232 & 0.22106037 & 2.138506 \\\\\n",
"\t United States & 14 & 6.993 & 7.074657 & 6.911343 & 1.5462593 & 1.419921 & 0.7742866 & 0.5057405 & 0.39257878 & 0.13563879 & 2.218113 \\\\\n",
"\t Ireland & 15 & 6.977 & 7.043352 & 6.910649 & 1.5357066 & 1.558231 & 0.8097826 & 0.5731103 & 0.42785832 & 0.29838815 & 1.773869 \\\\\n",
"\t Germany & 16 & 6.951 & 7.005382 & 6.896619 & 1.4879234 & 1.472520 & 0.7989507 & 0.5625114 & 0.33626917 & 0.27673194 & 2.015770 \\\\\n",
"\t Belgium & 17 & 6.891 & 6.955821 & 6.826179 & 1.4637808 & 1.462313 & 0.8180919 & 0.5397707 & 0.23150334 & 0.25134313 & 2.124210 \\\\\n",
"\t Luxembourg & 18 & 6.863 & 6.923686 & 6.802314 & 1.7419436 & 1.457584 & 0.8450895 & 0.5966279 & 0.28318098 & 0.31883442 & 1.619512 \\\\\n",
"\t United Kingdom & 19 & 6.714 & 6.783792 & 6.644209 & 1.4416339 & 1.496460 & 0.8053359 & 0.5081900 & 0.49277416 & 0.26542807 & 1.704144 \\\\\n",
"\t Chile & 20 & 6.652 & 6.739251 & 6.564749 & 1.2527846 & 1.284025 & 0.8194797 & 0.3768953 & 0.32666242 & 0.08228798 & 2.509586 \\\\\n",
"\t United Arab Emirates & 21 & 6.648 & 6.722047 & 6.573952 & 1.6263434 & 1.266410 & 0.7267982 & 0.6083453 & 0.36094195 & 0.32448956 & 1.734704 \\\\\n",
"\t Brazil & 22 & 6.635 & 6.725470 & 6.544531 & 1.1073532 & 1.431306 & 0.6165524 & 0.4374537 & 0.16234989 & 0.11109276 & 2.769267 \\\\\n",
"\t Czech Republic & 23 & 6.609 & 6.683862 & 6.534138 & 1.3526824 & 1.433885 & 0.7544440 & 0.4909462 & 0.08810676 & 0.03687293 & 2.451862 \\\\\n",
"\t Argentina & 24 & 6.599 & 6.690085 & 6.507915 & 1.1852955 & 1.440451 & 0.6951371 & 0.4945192 & 0.10945706 & 0.05973989 & 2.614005 \\\\\n",
"\t Mexico & 25 & 6.578 & 6.671149 & 6.484851 & 1.1531838 & 1.210862 & 0.7099790 & 0.4127300 & 0.12099043 & 0.13277411 & 2.837155 \\\\\n",
"\t Singapore & 26 & 6.572 & 6.636723 & 6.507277 & 1.6922777 & 1.353814 & 0.9494924 & 0.5498406 & 0.34596598 & 0.46430779 & 1.216362 \\\\\n",
"\t Malta & 27 & 6.527 & 6.598397 & 6.455603 & 1.3432798 & 1.488412 & 0.8219442 & 0.5887671 & 0.57473058 & 0.15306607 & 1.556863 \\\\\n",
"\t Uruguay & 28 & 6.454 & 6.545906 & 6.362094 & 1.2175597 & 1.412228 & 0.7192168 & 0.5793923 & 0.17509693 & 0.17806187 & 2.172410 \\\\\n",
"\t Guatemala & 29 & 6.454 & 6.566874 & 6.341126 & 0.8720019 & 1.255585 & 0.5402400 & 0.5313106 & 0.28348839 & 0.07722328 & 2.893891 \\\\\n",
"\t Panama & 30 & 6.452 & 6.557131 & 6.346870 & 1.2337484 & 1.373193 & 0.7061561 & 0.5500268 & 0.21055694 & 0.07098392 & 2.307200 \\\\\n",
"\t ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n",
"\t Congo (Kinshasa) & 126 & 4.280 & 4.357811 & 4.202190 & 0.09210235 & 1.2290235 & 0.19140702 & 0.23596135 & 0.24645583 & 0.06024136 & 2.2249587 \\\\\n",
"\t Mali & 127 & 4.190 & 4.269671 & 4.110329 & 0.47618049 & 1.2814734 & 0.16936567 & 0.30661374 & 0.18335420 & 0.10497025 & 1.6681910 \\\\\n",
"\t Ivory Coast & 128 & 4.180 & 4.275183 & 4.084817 & 0.60304892 & 0.9047800 & 0.04864217 & 0.44770619 & 0.20123747 & 0.13006178 & 1.8449643 \\\\\n",
"\t Cambodia & 129 & 4.168 & 4.278518 & 4.057483 & 0.60176510 & 1.0062383 & 0.42978340 & 0.63337582 & 0.38592297 & 0.06810595 & 1.0429411 \\\\\n",
"\t Sudan & 130 & 4.139 & 4.345747 & 3.932253 & 0.65951669 & 1.2140086 & 0.29092082 & 0.01499586 & 0.18231745 & 0.08984752 & 1.6870658 \\\\\n",
"\t Ghana & 131 & 4.120 & 4.222707 & 4.017293 & 0.66722482 & 0.8736647 & 0.29563773 & 0.42302629 & 0.25692394 & 0.02533637 & 1.5778675 \\\\\n",
"\t Ukraine & 132 & 4.096 & 4.185410 & 4.006590 & 0.89465195 & 1.3945376 & 0.57590395 & 0.12297478 & 0.27006146 & 0.02302947 & 0.8143823 \\\\\n",
"\t Uganda & 133 & 4.081 & 4.195800 & 3.966200 & 0.38143072 & 1.1298277 & 0.21763261 & 0.44318596 & 0.32576606 & 0.05706972 & 1.5263627 \\\\\n",
"\t Burkina Faso & 134 & 4.032 & 4.124059 & 3.939941 & 0.35022771 & 1.0432800 & 0.21584426 & 0.32436785 & 0.25086468 & 0.12032811 & 1.7272129 \\\\\n",
"\t Niger & 135 & 4.028 & 4.111947 & 3.944053 & 0.16192533 & 0.9930250 & 0.26850501 & 0.36365870 & 0.22867385 & 0.13857295 & 1.8739834 \\\\\n",
"\t Malawi & 136 & 3.970 & 4.077479 & 3.862521 & 0.23344204 & 0.5125688 & 0.31508958 & 0.46691465 & 0.28717047 & 0.07271165 & 2.0817862 \\\\\n",
"\t Chad & 137 & 3.936 & 4.034712 & 3.837289 & 0.43801299 & 0.9538559 & 0.04113472 & 0.16234203 & 0.21611385 & 0.05358188 & 2.0712380 \\\\\n",
"\t Zimbabwe & 138 & 3.875 & 3.978700 & 3.771300 & 0.37584653 & 1.0830959 & 0.19676375 & 0.33638421 & 0.18914349 & 0.09537538 & 1.5979702 \\\\\n",
"\t Lesotho & 139 & 3.808 & 4.044344 & 3.571656 & 0.52102125 & 1.1900952 & 0.00000000 & 0.39066130 & 0.15749727 & 0.11909464 & 1.4298353 \\\\\n",
"\t Angola & 140 & 3.795 & 3.951642 & 3.638358 & 0.85842818 & 1.1044120 & 0.04986867 & 0.00000000 & 0.09792649 & 0.06972034 & 1.6144824 \\\\\n",
"\t Afghanistan & 141 & 3.794 & 3.873661 & 3.714338 & 0.40147722 & 0.5815433 & 0.18074678 & 0.10617952 & 0.31187093 & 0.06115783 & 2.1508012 \\\\\n",
"\t Botswana & 142 & 3.766 & 3.874123 & 3.657877 & 1.12209415 & 1.2215550 & 0.34175551 & 0.50519633 & 0.09934845 & 0.09858320 & 0.3779137 \\\\\n",
"\t Benin & 143 & 3.657 & 3.745784 & 3.568217 & 0.43108541 & 0.4352998 & 0.20993021 & 0.42596278 & 0.20794846 & 0.06092902 & 1.8856310 \\\\\n",
"\t Madagascar & 144 & 3.644 & 3.714319 & 3.573681 & 0.30580869 & 0.9130204 & 0.37522331 & 0.18919677 & 0.20873253 & 0.06723198 & 1.5846126 \\\\\n",
"\t Haiti & 145 & 3.603 & 3.734715 & 3.471285 & 0.36861026 & 0.6404498 & 0.27732113 & 0.03036986 & 0.48920378 & 0.09987215 & 1.6971676 \\\\\n",
"\t Yemen & 146 & 3.593 & 3.692750 & 3.493250 & 0.59168345 & 0.9353822 & 0.31008092 & 0.24946372 & 0.10412521 & 0.05676742 & 1.3456006 \\\\\n",
"\t South Sudan & 147 & 3.591 & 3.725539 & 3.456462 & 0.39724863 & 0.6013231 & 0.16348600 & 0.14706244 & 0.28567082 & 0.11679351 & 1.8795674 \\\\\n",
"\t Liberia & 148 & 3.533 & 3.653756 & 3.412244 & 0.11904179 & 0.8721179 & 0.22991820 & 0.33288118 & 0.26654989 & 0.03894825 & 1.6732860 \\\\\n",
"\t Guinea & 149 & 3.507 & 3.584428 & 3.429572 & 0.24454993 & 0.7912447 & 0.19412914 & 0.34858751 & 0.26481509 & 0.11093762 & 1.5523119 \\\\\n",
"\t Togo & 150 & 3.495 & 3.594038 & 3.395962 & 0.30544472 & 0.4318825 & 0.24710557 & 0.38042614 & 0.19689615 & 0.09566502 & 1.8372293 \\\\\n",
"\t Rwanda & 151 & 3.471 & 3.543030 & 3.398970 & 0.36874589 & 0.9457070 & 0.32642481 & 0.58184385 & 0.25275603 & 0.45522001 & 0.5400612 \\\\\n",
"\t Syria & 152 & 3.462 & 3.663669 & 3.260331 & 0.77715313 & 0.3961026 & 0.50053334 & 0.08153944 & 0.49366373 & 0.15134713 & 1.0615735 \\\\\n",
"\t Tanzania & 153 & 3.349 & 3.461430 & 3.236570 & 0.51113588 & 1.0419898 & 0.36450928 & 0.39001778 & 0.35425636 & 0.06603511 & 0.6211305 \\\\\n",
"\t Burundi & 154 & 2.905 & 3.074690 & 2.735310 & 0.09162257 & 0.6297936 & 0.15161079 & 0.05990075 & 0.20443518 & 0.08414795 & 1.6830242 \\\\\n",
"\t Central African Republic & 155 & 2.693 & 2.864884 & 2.521116 & 0.00000000 & 0.0000000 & 0.01877269 & 0.27084205 & 0.28087649 & 0.05656508 & 2.0660048 \\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"Country | Happiness.Rank | Happiness.Score | Whisker.high | Whisker.low | Economy..GDP.per.Capita. | Family | Health..Life.Expectancy. | Freedom | Generosity | Trust..Government.Corruption. | Dystopia.Residual | \n",
"|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
"| Norway | 1 | 7.537 | 7.594445 | 7.479556 | 1.6164632 | 1.533524 | 0.7966665 | 0.6354226 | 0.36201224 | 0.31596383 | 2.277027 | \n",
"| Denmark | 2 | 7.522 | 7.581728 | 7.462272 | 1.4823830 | 1.551122 | 0.7925655 | 0.6260067 | 0.35528049 | 0.40077007 | 2.313707 | \n",
"| Iceland | 3 | 7.504 | 7.622030 | 7.385970 | 1.4806330 | 1.610574 | 0.8335521 | 0.6271626 | 0.47554022 | 0.15352656 | 2.322715 | \n",
"| Switzerland | 4 | 7.494 | 7.561772 | 7.426227 | 1.5649796 | 1.516912 | 0.8581313 | 0.6200706 | 0.29054928 | 0.36700729 | 2.276716 | \n",
"| Finland | 5 | 7.469 | 7.527542 | 7.410458 | 1.4435719 | 1.540247 | 0.8091577 | 0.6179509 | 0.24548277 | 0.38261154 | 2.430182 | \n",
"| Netherlands | 6 | 7.377 | 7.427426 | 7.326574 | 1.5039446 | 1.428939 | 0.8106961 | 0.5853845 | 0.47048983 | 0.28266183 | 2.294804 | \n",
"| Canada | 7 | 7.316 | 7.384403 | 7.247597 | 1.4792044 | 1.481349 | 0.8345577 | 0.6111009 | 0.43553972 | 0.28737152 | 2.187264 | \n",
"| New Zealand | 8 | 7.314 | 7.379510 | 7.248490 | 1.4057060 | 1.548195 | 0.8167597 | 0.6140621 | 0.50000513 | 0.38281670 | 2.046456 | \n",
"| Sweden | 9 | 7.284 | 7.344095 | 7.223905 | 1.4943873 | 1.478162 | 0.8308752 | 0.6129241 | 0.38539925 | 0.38439873 | 2.097538 | \n",
"| Australia | 10 | 7.284 | 7.356651 | 7.211349 | 1.4844149 | 1.510042 | 0.8438868 | 0.6016074 | 0.47769925 | 0.30118373 | 2.065211 | \n",
"| Israel | 11 | 7.213 | 7.279853 | 7.146146 | 1.3753824 | 1.376290 | 0.8384040 | 0.4059886 | 0.33008265 | 0.08524210 | 2.801757 | \n",
"| Costa Rica | 12 | 7.079 | 7.168112 | 6.989888 | 1.1097063 | 1.416404 | 0.7595093 | 0.5801316 | 0.21461323 | 0.10010659 | 2.898639 | \n",
"| Austria | 13 | 7.006 | 7.070670 | 6.941330 | 1.4870973 | 1.459945 | 0.8153284 | 0.5677662 | 0.31647232 | 0.22106037 | 2.138506 | \n",
"| United States | 14 | 6.993 | 7.074657 | 6.911343 | 1.5462593 | 1.419921 | 0.7742866 | 0.5057405 | 0.39257878 | 0.13563879 | 2.218113 | \n",
"| Ireland | 15 | 6.977 | 7.043352 | 6.910649 | 1.5357066 | 1.558231 | 0.8097826 | 0.5731103 | 0.42785832 | 0.29838815 | 1.773869 | \n",
"| Germany | 16 | 6.951 | 7.005382 | 6.896619 | 1.4879234 | 1.472520 | 0.7989507 | 0.5625114 | 0.33626917 | 0.27673194 | 2.015770 | \n",
"| Belgium | 17 | 6.891 | 6.955821 | 6.826179 | 1.4637808 | 1.462313 | 0.8180919 | 0.5397707 | 0.23150334 | 0.25134313 | 2.124210 | \n",
"| Luxembourg | 18 | 6.863 | 6.923686 | 6.802314 | 1.7419436 | 1.457584 | 0.8450895 | 0.5966279 | 0.28318098 | 0.31883442 | 1.619512 | \n",
"| United Kingdom | 19 | 6.714 | 6.783792 | 6.644209 | 1.4416339 | 1.496460 | 0.8053359 | 0.5081900 | 0.49277416 | 0.26542807 | 1.704144 | \n",
"| Chile | 20 | 6.652 | 6.739251 | 6.564749 | 1.2527846 | 1.284025 | 0.8194797 | 0.3768953 | 0.32666242 | 0.08228798 | 2.509586 | \n",
"| United Arab Emirates | 21 | 6.648 | 6.722047 | 6.573952 | 1.6263434 | 1.266410 | 0.7267982 | 0.6083453 | 0.36094195 | 0.32448956 | 1.734704 | \n",
"| Brazil | 22 | 6.635 | 6.725470 | 6.544531 | 1.1073532 | 1.431306 | 0.6165524 | 0.4374537 | 0.16234989 | 0.11109276 | 2.769267 | \n",
"| Czech Republic | 23 | 6.609 | 6.683862 | 6.534138 | 1.3526824 | 1.433885 | 0.7544440 | 0.4909462 | 0.08810676 | 0.03687293 | 2.451862 | \n",
"| Argentina | 24 | 6.599 | 6.690085 | 6.507915 | 1.1852955 | 1.440451 | 0.6951371 | 0.4945192 | 0.10945706 | 0.05973989 | 2.614005 | \n",
"| Mexico | 25 | 6.578 | 6.671149 | 6.484851 | 1.1531838 | 1.210862 | 0.7099790 | 0.4127300 | 0.12099043 | 0.13277411 | 2.837155 | \n",
"| Singapore | 26 | 6.572 | 6.636723 | 6.507277 | 1.6922777 | 1.353814 | 0.9494924 | 0.5498406 | 0.34596598 | 0.46430779 | 1.216362 | \n",
"| Malta | 27 | 6.527 | 6.598397 | 6.455603 | 1.3432798 | 1.488412 | 0.8219442 | 0.5887671 | 0.57473058 | 0.15306607 | 1.556863 | \n",
"| Uruguay | 28 | 6.454 | 6.545906 | 6.362094 | 1.2175597 | 1.412228 | 0.7192168 | 0.5793923 | 0.17509693 | 0.17806187 | 2.172410 | \n",
"| Guatemala | 29 | 6.454 | 6.566874 | 6.341126 | 0.8720019 | 1.255585 | 0.5402400 | 0.5313106 | 0.28348839 | 0.07722328 | 2.893891 | \n",
"| Panama | 30 | 6.452 | 6.557131 | 6.346870 | 1.2337484 | 1.373193 | 0.7061561 | 0.5500268 | 0.21055694 | 0.07098392 | 2.307200 | \n",
"| ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | \n",
"| Congo (Kinshasa) | 126 | 4.280 | 4.357811 | 4.202190 | 0.09210235 | 1.2290235 | 0.19140702 | 0.23596135 | 0.24645583 | 0.06024136 | 2.2249587 | \n",
"| Mali | 127 | 4.190 | 4.269671 | 4.110329 | 0.47618049 | 1.2814734 | 0.16936567 | 0.30661374 | 0.18335420 | 0.10497025 | 1.6681910 | \n",
"| Ivory Coast | 128 | 4.180 | 4.275183 | 4.084817 | 0.60304892 | 0.9047800 | 0.04864217 | 0.44770619 | 0.20123747 | 0.13006178 | 1.8449643 | \n",
"| Cambodia | 129 | 4.168 | 4.278518 | 4.057483 | 0.60176510 | 1.0062383 | 0.42978340 | 0.63337582 | 0.38592297 | 0.06810595 | 1.0429411 | \n",
"| Sudan | 130 | 4.139 | 4.345747 | 3.932253 | 0.65951669 | 1.2140086 | 0.29092082 | 0.01499586 | 0.18231745 | 0.08984752 | 1.6870658 | \n",
"| Ghana | 131 | 4.120 | 4.222707 | 4.017293 | 0.66722482 | 0.8736647 | 0.29563773 | 0.42302629 | 0.25692394 | 0.02533637 | 1.5778675 | \n",
"| Ukraine | 132 | 4.096 | 4.185410 | 4.006590 | 0.89465195 | 1.3945376 | 0.57590395 | 0.12297478 | 0.27006146 | 0.02302947 | 0.8143823 | \n",
"| Uganda | 133 | 4.081 | 4.195800 | 3.966200 | 0.38143072 | 1.1298277 | 0.21763261 | 0.44318596 | 0.32576606 | 0.05706972 | 1.5263627 | \n",
"| Burkina Faso | 134 | 4.032 | 4.124059 | 3.939941 | 0.35022771 | 1.0432800 | 0.21584426 | 0.32436785 | 0.25086468 | 0.12032811 | 1.7272129 | \n",
"| Niger | 135 | 4.028 | 4.111947 | 3.944053 | 0.16192533 | 0.9930250 | 0.26850501 | 0.36365870 | 0.22867385 | 0.13857295 | 1.8739834 | \n",
"| Malawi | 136 | 3.970 | 4.077479 | 3.862521 | 0.23344204 | 0.5125688 | 0.31508958 | 0.46691465 | 0.28717047 | 0.07271165 | 2.0817862 | \n",
"| Chad | 137 | 3.936 | 4.034712 | 3.837289 | 0.43801299 | 0.9538559 | 0.04113472 | 0.16234203 | 0.21611385 | 0.05358188 | 2.0712380 | \n",
"| Zimbabwe | 138 | 3.875 | 3.978700 | 3.771300 | 0.37584653 | 1.0830959 | 0.19676375 | 0.33638421 | 0.18914349 | 0.09537538 | 1.5979702 | \n",
"| Lesotho | 139 | 3.808 | 4.044344 | 3.571656 | 0.52102125 | 1.1900952 | 0.00000000 | 0.39066130 | 0.15749727 | 0.11909464 | 1.4298353 | \n",
"| Angola | 140 | 3.795 | 3.951642 | 3.638358 | 0.85842818 | 1.1044120 | 0.04986867 | 0.00000000 | 0.09792649 | 0.06972034 | 1.6144824 | \n",
"| Afghanistan | 141 | 3.794 | 3.873661 | 3.714338 | 0.40147722 | 0.5815433 | 0.18074678 | 0.10617952 | 0.31187093 | 0.06115783 | 2.1508012 | \n",
"| Botswana | 142 | 3.766 | 3.874123 | 3.657877 | 1.12209415 | 1.2215550 | 0.34175551 | 0.50519633 | 0.09934845 | 0.09858320 | 0.3779137 | \n",
"| Benin | 143 | 3.657 | 3.745784 | 3.568217 | 0.43108541 | 0.4352998 | 0.20993021 | 0.42596278 | 0.20794846 | 0.06092902 | 1.8856310 | \n",
"| Madagascar | 144 | 3.644 | 3.714319 | 3.573681 | 0.30580869 | 0.9130204 | 0.37522331 | 0.18919677 | 0.20873253 | 0.06723198 | 1.5846126 | \n",
"| Haiti | 145 | 3.603 | 3.734715 | 3.471285 | 0.36861026 | 0.6404498 | 0.27732113 | 0.03036986 | 0.48920378 | 0.09987215 | 1.6971676 | \n",
"| Yemen | 146 | 3.593 | 3.692750 | 3.493250 | 0.59168345 | 0.9353822 | 0.31008092 | 0.24946372 | 0.10412521 | 0.05676742 | 1.3456006 | \n",
"| South Sudan | 147 | 3.591 | 3.725539 | 3.456462 | 0.39724863 | 0.6013231 | 0.16348600 | 0.14706244 | 0.28567082 | 0.11679351 | 1.8795674 | \n",
"| Liberia | 148 | 3.533 | 3.653756 | 3.412244 | 0.11904179 | 0.8721179 | 0.22991820 | 0.33288118 | 0.26654989 | 0.03894825 | 1.6732860 | \n",
"| Guinea | 149 | 3.507 | 3.584428 | 3.429572 | 0.24454993 | 0.7912447 | 0.19412914 | 0.34858751 | 0.26481509 | 0.11093762 | 1.5523119 | \n",
"| Togo | 150 | 3.495 | 3.594038 | 3.395962 | 0.30544472 | 0.4318825 | 0.24710557 | 0.38042614 | 0.19689615 | 0.09566502 | 1.8372293 | \n",
"| Rwanda | 151 | 3.471 | 3.543030 | 3.398970 | 0.36874589 | 0.9457070 | 0.32642481 | 0.58184385 | 0.25275603 | 0.45522001 | 0.5400612 | \n",
"| Syria | 152 | 3.462 | 3.663669 | 3.260331 | 0.77715313 | 0.3961026 | 0.50053334 | 0.08153944 | 0.49366373 | 0.15134713 | 1.0615735 | \n",
"| Tanzania | 153 | 3.349 | 3.461430 | 3.236570 | 0.51113588 | 1.0419898 | 0.36450928 | 0.39001778 | 0.35425636 | 0.06603511 | 0.6211305 | \n",
"| Burundi | 154 | 2.905 | 3.074690 | 2.735310 | 0.09162257 | 0.6297936 | 0.15161079 | 0.05990075 | 0.20443518 | 0.08414795 | 1.6830242 | \n",
"| Central African Republic | 155 | 2.693 | 2.864884 | 2.521116 | 0.00000000 | 0.0000000 | 0.01877269 | 0.27084205 | 0.28087649 | 0.05656508 | 2.0660048 | \n",
"\n",
"\n"
],
"text/plain": [
" Country Happiness.Rank Happiness.Score Whisker.high\n",
"1 Norway 1 7.537 7.594445 \n",
"2 Denmark 2 7.522 7.581728 \n",
"3 Iceland 3 7.504 7.622030 \n",
"4 Switzerland 4 7.494 7.561772 \n",
"5 Finland 5 7.469 7.527542 \n",
"6 Netherlands 6 7.377 7.427426 \n",
"7 Canada 7 7.316 7.384403 \n",
"8 New Zealand 8 7.314 7.379510 \n",
"9 Sweden 9 7.284 7.344095 \n",
"10 Australia 10 7.284 7.356651 \n",
"11 Israel 11 7.213 7.279853 \n",
"12 Costa Rica 12 7.079 7.168112 \n",
"13 Austria 13 7.006 7.070670 \n",
"14 United States 14 6.993 7.074657 \n",
"15 Ireland 15 6.977 7.043352 \n",
"16 Germany 16 6.951 7.005382 \n",
"17 Belgium 17 6.891 6.955821 \n",
"18 Luxembourg 18 6.863 6.923686 \n",
"19 United Kingdom 19 6.714 6.783792 \n",
"20 Chile 20 6.652 6.739251 \n",
"21 United Arab Emirates 21 6.648 6.722047 \n",
"22 Brazil 22 6.635 6.725470 \n",
"23 Czech Republic 23 6.609 6.683862 \n",
"24 Argentina 24 6.599 6.690085 \n",
"25 Mexico 25 6.578 6.671149 \n",
"26 Singapore 26 6.572 6.636723 \n",
"27 Malta 27 6.527 6.598397 \n",
"28 Uruguay 28 6.454 6.545906 \n",
"29 Guatemala 29 6.454 6.566874 \n",
"30 Panama 30 6.452 6.557131 \n",
"⋮ ⋮ ⋮ ⋮ ⋮ \n",
"126 Congo (Kinshasa) 126 4.280 4.357811 \n",
"127 Mali 127 4.190 4.269671 \n",
"128 Ivory Coast 128 4.180 4.275183 \n",
"129 Cambodia 129 4.168 4.278518 \n",
"130 Sudan 130 4.139 4.345747 \n",
"131 Ghana 131 4.120 4.222707 \n",
"132 Ukraine 132 4.096 4.185410 \n",
"133 Uganda 133 4.081 4.195800 \n",
"134 Burkina Faso 134 4.032 4.124059 \n",
"135 Niger 135 4.028 4.111947 \n",
"136 Malawi 136 3.970 4.077479 \n",
"137 Chad 137 3.936 4.034712 \n",
"138 Zimbabwe 138 3.875 3.978700 \n",
"139 Lesotho 139 3.808 4.044344 \n",
"140 Angola 140 3.795 3.951642 \n",
"141 Afghanistan 141 3.794 3.873661 \n",
"142 Botswana 142 3.766 3.874123 \n",
"143 Benin 143 3.657 3.745784 \n",
"144 Madagascar 144 3.644 3.714319 \n",
"145 Haiti 145 3.603 3.734715 \n",
"146 Yemen 146 3.593 3.692750 \n",
"147 South Sudan 147 3.591 3.725539 \n",
"148 Liberia 148 3.533 3.653756 \n",
"149 Guinea 149 3.507 3.584428 \n",
"150 Togo 150 3.495 3.594038 \n",
"151 Rwanda 151 3.471 3.543030 \n",
"152 Syria 152 3.462 3.663669 \n",
"153 Tanzania 153 3.349 3.461430 \n",
"154 Burundi 154 2.905 3.074690 \n",
"155 Central African Republic 155 2.693 2.864884 \n",
" Whisker.low Economy..GDP.per.Capita. Family Health..Life.Expectancy.\n",
"1 7.479556 1.6164632 1.533524 0.7966665 \n",
"2 7.462272 1.4823830 1.551122 0.7925655 \n",
"3 7.385970 1.4806330 1.610574 0.8335521 \n",
"4 7.426227 1.5649796 1.516912 0.8581313 \n",
"5 7.410458 1.4435719 1.540247 0.8091577 \n",
"6 7.326574 1.5039446 1.428939 0.8106961 \n",
"7 7.247597 1.4792044 1.481349 0.8345577 \n",
"8 7.248490 1.4057060 1.548195 0.8167597 \n",
"9 7.223905 1.4943873 1.478162 0.8308752 \n",
"10 7.211349 1.4844149 1.510042 0.8438868 \n",
"11 7.146146 1.3753824 1.376290 0.8384040 \n",
"12 6.989888 1.1097063 1.416404 0.7595093 \n",
"13 6.941330 1.4870973 1.459945 0.8153284 \n",
"14 6.911343 1.5462593 1.419921 0.7742866 \n",
"15 6.910649 1.5357066 1.558231 0.8097826 \n",
"16 6.896619 1.4879234 1.472520 0.7989507 \n",
"17 6.826179 1.4637808 1.462313 0.8180919 \n",
"18 6.802314 1.7419436 1.457584 0.8450895 \n",
"19 6.644209 1.4416339 1.496460 0.8053359 \n",
"20 6.564749 1.2527846 1.284025 0.8194797 \n",
"21 6.573952 1.6263434 1.266410 0.7267982 \n",
"22 6.544531 1.1073532 1.431306 0.6165524 \n",
"23 6.534138 1.3526824 1.433885 0.7544440 \n",
"24 6.507915 1.1852955 1.440451 0.6951371 \n",
"25 6.484851 1.1531838 1.210862 0.7099790 \n",
"26 6.507277 1.6922777 1.353814 0.9494924 \n",
"27 6.455603 1.3432798 1.488412 0.8219442 \n",
"28 6.362094 1.2175597 1.412228 0.7192168 \n",
"29 6.341126 0.8720019 1.255585 0.5402400 \n",
"30 6.346870 1.2337484 1.373193 0.7061561 \n",
"⋮ ⋮ ⋮ ⋮ ⋮ \n",
"126 4.202190 0.09210235 1.2290235 0.19140702 \n",
"127 4.110329 0.47618049 1.2814734 0.16936567 \n",
"128 4.084817 0.60304892 0.9047800 0.04864217 \n",
"129 4.057483 0.60176510 1.0062383 0.42978340 \n",
"130 3.932253 0.65951669 1.2140086 0.29092082 \n",
"131 4.017293 0.66722482 0.8736647 0.29563773 \n",
"132 4.006590 0.89465195 1.3945376 0.57590395 \n",
"133 3.966200 0.38143072 1.1298277 0.21763261 \n",
"134 3.939941 0.35022771 1.0432800 0.21584426 \n",
"135 3.944053 0.16192533 0.9930250 0.26850501 \n",
"136 3.862521 0.23344204 0.5125688 0.31508958 \n",
"137 3.837289 0.43801299 0.9538559 0.04113472 \n",
"138 3.771300 0.37584653 1.0830959 0.19676375 \n",
"139 3.571656 0.52102125 1.1900952 0.00000000 \n",
"140 3.638358 0.85842818 1.1044120 0.04986867 \n",
"141 3.714338 0.40147722 0.5815433 0.18074678 \n",
"142 3.657877 1.12209415 1.2215550 0.34175551 \n",
"143 3.568217 0.43108541 0.4352998 0.20993021 \n",
"144 3.573681 0.30580869 0.9130204 0.37522331 \n",
"145 3.471285 0.36861026 0.6404498 0.27732113 \n",
"146 3.493250 0.59168345 0.9353822 0.31008092 \n",
"147 3.456462 0.39724863 0.6013231 0.16348600 \n",
"148 3.412244 0.11904179 0.8721179 0.22991820 \n",
"149 3.429572 0.24454993 0.7912447 0.19412914 \n",
"150 3.395962 0.30544472 0.4318825 0.24710557 \n",
"151 3.398970 0.36874589 0.9457070 0.32642481 \n",
"152 3.260331 0.77715313 0.3961026 0.50053334 \n",
"153 3.236570 0.51113588 1.0419898 0.36450928 \n",
"154 2.735310 0.09162257 0.6297936 0.15161079 \n",
"155 2.521116 0.00000000 0.0000000 0.01877269 \n",
" Freedom Generosity Trust..Government.Corruption. Dystopia.Residual\n",
"1 0.6354226 0.36201224 0.31596383 2.277027 \n",
"2 0.6260067 0.35528049 0.40077007 2.313707 \n",
"3 0.6271626 0.47554022 0.15352656 2.322715 \n",
"4 0.6200706 0.29054928 0.36700729 2.276716 \n",
"5 0.6179509 0.24548277 0.38261154 2.430182 \n",
"6 0.5853845 0.47048983 0.28266183 2.294804 \n",
"7 0.6111009 0.43553972 0.28737152 2.187264 \n",
"8 0.6140621 0.50000513 0.38281670 2.046456 \n",
"9 0.6129241 0.38539925 0.38439873 2.097538 \n",
"10 0.6016074 0.47769925 0.30118373 2.065211 \n",
"11 0.4059886 0.33008265 0.08524210 2.801757 \n",
"12 0.5801316 0.21461323 0.10010659 2.898639 \n",
"13 0.5677662 0.31647232 0.22106037 2.138506 \n",
"14 0.5057405 0.39257878 0.13563879 2.218113 \n",
"15 0.5731103 0.42785832 0.29838815 1.773869 \n",
"16 0.5625114 0.33626917 0.27673194 2.015770 \n",
"17 0.5397707 0.23150334 0.25134313 2.124210 \n",
"18 0.5966279 0.28318098 0.31883442 1.619512 \n",
"19 0.5081900 0.49277416 0.26542807 1.704144 \n",
"20 0.3768953 0.32666242 0.08228798 2.509586 \n",
"21 0.6083453 0.36094195 0.32448956 1.734704 \n",
"22 0.4374537 0.16234989 0.11109276 2.769267 \n",
"23 0.4909462 0.08810676 0.03687293 2.451862 \n",
"24 0.4945192 0.10945706 0.05973989 2.614005 \n",
"25 0.4127300 0.12099043 0.13277411 2.837155 \n",
"26 0.5498406 0.34596598 0.46430779 1.216362 \n",
"27 0.5887671 0.57473058 0.15306607 1.556863 \n",
"28 0.5793923 0.17509693 0.17806187 2.172410 \n",
"29 0.5313106 0.28348839 0.07722328 2.893891 \n",
"30 0.5500268 0.21055694 0.07098392 2.307200 \n",
"⋮ ⋮ ⋮ ⋮ ⋮ \n",
"126 0.23596135 0.24645583 0.06024136 2.2249587 \n",
"127 0.30661374 0.18335420 0.10497025 1.6681910 \n",
"128 0.44770619 0.20123747 0.13006178 1.8449643 \n",
"129 0.63337582 0.38592297 0.06810595 1.0429411 \n",
"130 0.01499586 0.18231745 0.08984752 1.6870658 \n",
"131 0.42302629 0.25692394 0.02533637 1.5778675 \n",
"132 0.12297478 0.27006146 0.02302947 0.8143823 \n",
"133 0.44318596 0.32576606 0.05706972 1.5263627 \n",
"134 0.32436785 0.25086468 0.12032811 1.7272129 \n",
"135 0.36365870 0.22867385 0.13857295 1.8739834 \n",
"136 0.46691465 0.28717047 0.07271165 2.0817862 \n",
"137 0.16234203 0.21611385 0.05358188 2.0712380 \n",
"138 0.33638421 0.18914349 0.09537538 1.5979702 \n",
"139 0.39066130 0.15749727 0.11909464 1.4298353 \n",
"140 0.00000000 0.09792649 0.06972034 1.6144824 \n",
"141 0.10617952 0.31187093 0.06115783 2.1508012 \n",
"142 0.50519633 0.09934845 0.09858320 0.3779137 \n",
"143 0.42596278 0.20794846 0.06092902 1.8856310 \n",
"144 0.18919677 0.20873253 0.06723198 1.5846126 \n",
"145 0.03036986 0.48920378 0.09987215 1.6971676 \n",
"146 0.24946372 0.10412521 0.05676742 1.3456006 \n",
"147 0.14706244 0.28567082 0.11679351 1.8795674 \n",
"148 0.33288118 0.26654989 0.03894825 1.6732860 \n",
"149 0.34858751 0.26481509 0.11093762 1.5523119 \n",
"150 0.38042614 0.19689615 0.09566502 1.8372293 \n",
"151 0.58184385 0.25275603 0.45522001 0.5400612 \n",
"152 0.08153944 0.49366373 0.15134713 1.0615735 \n",
"153 0.39001778 0.35425636 0.06603511 0.6211305 \n",
"154 0.05990075 0.20443518 0.08414795 1.6830242 \n",
"155 0.27084205 0.28087649 0.05656508 2.0660048 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# データの読み込み\n",
"filepath= \"FILEPATH\"\n",
"data <- read.table(filepath, header=TRUE, sep=\",\")\n",
"data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<thead><tr><th scope=col>Country</th><th scope=col>Happiness.Rank</th><th scope=col>Happiness.Score</th><th scope=col>Whisker.high</th><th scope=col>Whisker.low</th><th scope=col>Economy..GDP.per.Capita.</th><th scope=col>Family</th><th scope=col>Health..Life.Expectancy.</th><th scope=col>Freedom</th><th scope=col>Generosity</th><th scope=col>Trust..Government.Corruption.</th><th scope=col>Dystopia.Residual</th></tr></thead>\n",
"<tbody>\n",
"\t<tr><td>105 </td><td> 1 </td><td>7.537 </td><td>7.594445 </td><td>7.479556 </td><td>1.6164632 </td><td>1.533524 </td><td>0.7966665 </td><td>0.6354226 </td><td>0.36201224</td><td>0.31596383</td><td>2.277027 </td></tr>\n",
"\t<tr><td> 38 </td><td> 2 </td><td>7.522 </td><td>7.581728 </td><td>7.462272 </td><td>1.4823830 </td><td>1.551122 </td><td>0.7925655 </td><td>0.6260067 </td><td>0.35528049</td><td>0.40077007</td><td>2.313707 </td></tr>\n",
"\t<tr><td> 58 </td><td> 3 </td><td>7.504 </td><td>7.622030 </td><td>7.385970 </td><td>1.4806330 </td><td>1.610574 </td><td>0.8335521 </td><td>0.6271626 </td><td>0.47554022</td><td>0.15352656</td><td>2.322715 </td></tr>\n",
"\t<tr><td>133 </td><td> 4 </td><td>7.494 </td><td>7.561772 </td><td>7.426227 </td><td>1.5649796 </td><td>1.516912 </td><td>0.8581313 </td><td>0.6200706 </td><td>0.29054928</td><td>0.36700729</td><td>2.276716 </td></tr>\n",
"\t<tr><td> 45 </td><td> 5 </td><td>7.469 </td><td>7.527542 </td><td>7.410458 </td><td>1.4435719 </td><td>1.540247 </td><td>0.8091577 </td><td>0.6179509 </td><td>0.24548277</td><td>0.38261154</td><td>2.430182 </td></tr>\n",
"\t<tr><td> 99 </td><td> 6 </td><td>7.377 </td><td>7.427426 </td><td>7.326574 </td><td>1.5039446 </td><td>1.428939 </td><td>0.8106961 </td><td>0.5853845 </td><td>0.47048983</td><td>0.28266183</td><td>2.294804 </td></tr>\n",
"\t<tr><td> 26 </td><td> 7 </td><td>7.316 </td><td>7.384403 </td><td>7.247597 </td><td>1.4792044 </td><td>1.481349 </td><td>0.8345577 </td><td>0.6111009 </td><td>0.43553972</td><td>0.28737152</td><td>2.187264 </td></tr>\n",
"\t<tr><td>100 </td><td> 8 </td><td>7.314 </td><td>7.379510 </td><td>7.248490 </td><td>1.4057060 </td><td>1.548195 </td><td>0.8167597 </td><td>0.6140621 </td><td>0.50000513</td><td>0.38281670</td><td>2.046456 </td></tr>\n",
"\t<tr><td>132 </td><td> 9 </td><td>7.284 </td><td>7.344095 </td><td>7.223905 </td><td>1.4943873 </td><td>1.478162 </td><td>0.8308752 </td><td>0.6129241 </td><td>0.38539925</td><td>0.38439873</td><td>2.097538 </td></tr>\n",
"\t<tr><td> 7 </td><td>10 </td><td>7.284 </td><td>7.356651 </td><td>7.211349 </td><td>1.4844149 </td><td>1.510042 </td><td>0.8438868 </td><td>0.6016074 </td><td>0.47769925</td><td>0.30118373</td><td>2.065211 </td></tr>\n",
"\t<tr><td> 64 </td><td>11 </td><td>7.213 </td><td>7.279853 </td><td>7.146146 </td><td>1.3753824 </td><td>1.376290 </td><td>0.8384040 </td><td>0.4059886 </td><td>0.33008265</td><td>0.08524210</td><td>2.801757 </td></tr>\n",
"\t<tr><td> 34 </td><td>12 </td><td>7.079 </td><td>7.168112 </td><td>6.989888 </td><td>1.1097063 </td><td>1.416404 </td><td>0.7595093 </td><td>0.5801316 </td><td>0.21461323</td><td>0.10010659</td><td>2.898639 </td></tr>\n",
"\t<tr><td> 8 </td><td>13 </td><td>7.006 </td><td>7.070670 </td><td>6.941330 </td><td>1.4870973 </td><td>1.459945 </td><td>0.8153284 </td><td>0.5677662 </td><td>0.31647232</td><td>0.22106037</td><td>2.138506 </td></tr>\n",
"\t<tr><td>148 </td><td>14 </td><td>6.993 </td><td>7.074657 </td><td>6.911343 </td><td>1.5462593 </td><td>1.419921 </td><td>0.7742866 </td><td>0.5057405 </td><td>0.39257878</td><td>0.13563879</td><td>2.218113 </td></tr>\n",
"\t<tr><td> 63 </td><td>15 </td><td>6.977 </td><td>7.043352 </td><td>6.910649 </td><td>1.5357066 </td><td>1.558231 </td><td>0.8097826 </td><td>0.5731103 </td><td>0.42785832</td><td>0.29838815</td><td>1.773869 </td></tr>\n",
"\t<tr><td> 49 </td><td>16 </td><td>6.951 </td><td>7.005382 </td><td>6.896619 </td><td>1.4879234 </td><td>1.472520 </td><td>0.7989507 </td><td>0.5625114 </td><td>0.33626917</td><td>0.27673194</td><td>2.015770 </td></tr>\n",
"\t<tr><td> 13 </td><td>17 </td><td>6.891 </td><td>6.955821 </td><td>6.826179 </td><td>1.4637808 </td><td>1.462313 </td><td>0.8180919 </td><td>0.5397707 </td><td>0.23150334</td><td>0.25134313</td><td>2.124210 </td></tr>\n",
"\t<tr><td> 81 </td><td>18 </td><td>6.863 </td><td>6.923686 </td><td>6.802314 </td><td>1.7419436 </td><td>1.457584 </td><td>0.8450895 </td><td>0.5966279 </td><td>0.28318098</td><td>0.31883442</td><td>1.619512 </td></tr>\n",
"\t<tr><td>147 </td><td>19 </td><td>6.714 </td><td>6.783792 </td><td>6.644209 </td><td>1.4416339 </td><td>1.496460 </td><td>0.8053359 </td><td>0.5081900 </td><td>0.49277416</td><td>0.26542807</td><td>1.704144 </td></tr>\n",
"\t<tr><td> 29 </td><td>20 </td><td>6.652 </td><td>6.739251 </td><td>6.564749 </td><td>1.2527846 </td><td>1.284025 </td><td>0.8194797 </td><td>0.3768953 </td><td>0.32666242</td><td>0.08228798</td><td>2.509586 </td></tr>\n",
"\t<tr><td>146 </td><td>21 </td><td>6.648 </td><td>6.722047 </td><td>6.573952 </td><td>1.6263434 </td><td>1.266410 </td><td>0.7267982 </td><td>0.6083453 </td><td>0.36094195</td><td>0.32448956</td><td>1.734704 </td></tr>\n",
"\t<tr><td> 20 </td><td>22 </td><td>6.635 </td><td>6.725470 </td><td>6.544531 </td><td>1.1073532 </td><td>1.431306 </td><td>0.6165524 </td><td>0.4374537 </td><td>0.16234989</td><td>0.11109276</td><td>2.769267 </td></tr>\n",
"\t<tr><td> 37 </td><td>23 </td><td>6.609 </td><td>6.683862 </td><td>6.534138 </td><td>1.3526824 </td><td>1.433885 </td><td>0.7544440 </td><td>0.4909462 </td><td>0.08810676</td><td>0.03687293</td><td>2.451862 </td></tr>\n",
"\t<tr><td> 5 </td><td>24 </td><td>6.599 </td><td>6.690085 </td><td>6.507915 </td><td>1.1852955 </td><td>1.440451 </td><td>0.6951371 </td><td>0.4945192 </td><td>0.10945706</td><td>0.05973989</td><td>2.614005 </td></tr>\n",
"\t<tr><td> 90 </td><td>25 </td><td>6.578 </td><td>6.671149 </td><td>6.484851 </td><td>1.1531838 </td><td>1.210862 </td><td>0.7099790 </td><td>0.4127300 </td><td>0.12099043</td><td>0.13277411</td><td>2.837155 </td></tr>\n",
"\t<tr><td>122 </td><td>26 </td><td>6.572 </td><td>6.636723 </td><td>6.507277 </td><td>1.6922777 </td><td>1.353814 </td><td>0.9494924 </td><td>0.5498406 </td><td>0.34596598</td><td>0.46430779</td><td>1.216362 </td></tr>\n",
"\t<tr><td> 87 </td><td>27 </td><td>6.527 </td><td>6.598397 </td><td>6.455603 </td><td>1.3432798 </td><td>1.488412 </td><td>0.8219442 </td><td>0.5887671 </td><td>0.57473058</td><td>0.15306607</td><td>1.556863 </td></tr>\n",
"\t<tr><td>149 </td><td>28 </td><td>6.454 </td><td>6.545906 </td><td>6.362094 </td><td>1.2175597 </td><td>1.412228 </td><td>0.7192168 </td><td>0.5793923 </td><td>0.17509693</td><td>0.17806187</td><td>2.172410 </td></tr>\n",
"\t<tr><td> 52 </td><td>29 </td><td>6.454 </td><td>6.566874 </td><td>6.341126 </td><td>0.8720019 </td><td>1.255585 </td><td>0.5402400 </td><td>0.5313106 </td><td>0.28348839</td><td>0.07722328</td><td>2.893891 </td></tr>\n",
"\t<tr><td>108 </td><td>30 </td><td>6.452 </td><td>6.557131 </td><td>6.346870 </td><td>1.2337484 </td><td>1.373193 </td><td>0.7061561 </td><td>0.5500268 </td><td>0.21055694</td><td>0.07098392</td><td>2.307200 </td></tr>\n",
"\t<tr><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
"\t<tr><td> 33 </td><td>126 </td><td>4.280 </td><td>4.357811 </td><td>4.202190 </td><td>0.09210235</td><td>1.2290235 </td><td>0.19140702</td><td>0.23596135</td><td>0.24645583</td><td>0.06024136</td><td>2.2249587 </td></tr>\n",
"\t<tr><td> 86 </td><td>127 </td><td>4.190 </td><td>4.269671 </td><td>4.110329 </td><td>0.47618049</td><td>1.2814734 </td><td>0.16936567</td><td>0.30661374</td><td>0.18335420</td><td>0.10497025</td><td>1.6681910 </td></tr>\n",
"\t<tr><td> 66 </td><td>128 </td><td>4.180 </td><td>4.275183 </td><td>4.084817 </td><td>0.60304892</td><td>0.9047800 </td><td>0.04864217</td><td>0.44770619</td><td>0.20123747</td><td>0.13006178</td><td>1.8449643 </td></tr>\n",
"\t<tr><td> 24 </td><td>129 </td><td>4.168 </td><td>4.278518 </td><td>4.057483 </td><td>0.60176510</td><td>1.0062383 </td><td>0.42978340</td><td>0.63337582</td><td>0.38592297</td><td>0.06810595</td><td>1.0429411 </td></tr>\n",
"\t<tr><td>131 </td><td>130 </td><td>4.139 </td><td>4.345747 </td><td>3.932253 </td><td>0.65951669</td><td>1.2140086 </td><td>0.29092082</td><td>0.01499586</td><td>0.18231745</td><td>0.08984752</td><td>1.6870658 </td></tr>\n",
"\t<tr><td> 50 </td><td>131 </td><td>4.120 </td><td>4.222707 </td><td>4.017293 </td><td>0.66722482</td><td>0.8736647 </td><td>0.29563773</td><td>0.42302629</td><td>0.25692394</td><td>0.02533637</td><td>1.5778675 </td></tr>\n",
"\t<tr><td>145 </td><td>132 </td><td>4.096 </td><td>4.185410 </td><td>4.006590 </td><td>0.89465195</td><td>1.3945376 </td><td>0.57590395</td><td>0.12297478</td><td>0.27006146</td><td>0.02302947</td><td>0.8143823 </td></tr>\n",
"\t<tr><td>144 </td><td>133 </td><td>4.081 </td><td>4.195800 </td><td>3.966200 </td><td>0.38143072</td><td>1.1298277 </td><td>0.21763261</td><td>0.44318596</td><td>0.32576606</td><td>0.05706972</td><td>1.5263627 </td></tr>\n",
"\t<tr><td> 22 </td><td>134 </td><td>4.032 </td><td>4.124059 </td><td>3.939941 </td><td>0.35022771</td><td>1.0432800 </td><td>0.21584426</td><td>0.32436785</td><td>0.25086468</td><td>0.12032811</td><td>1.7272129 </td></tr>\n",
"\t<tr><td>102 </td><td>135 </td><td>4.028 </td><td>4.111947 </td><td>3.944053 </td><td>0.16192533</td><td>0.9930250 </td><td>0.26850501</td><td>0.36365870</td><td>0.22867385</td><td>0.13857295</td><td>1.8739834 </td></tr>\n",
"\t<tr><td> 84 </td><td>136 </td><td>3.970 </td><td>4.077479 </td><td>3.862521 </td><td>0.23344204</td><td>0.5125688 </td><td>0.31508958</td><td>0.46691465</td><td>0.28717047</td><td>0.07271165</td><td>2.0817862 </td></tr>\n",
"\t<tr><td> 28 </td><td>137 </td><td>3.936 </td><td>4.034712 </td><td>3.837289 </td><td>0.43801299</td><td>0.9538559 </td><td>0.04113472</td><td>0.16234203</td><td>0.21611385</td><td>0.05358188</td><td>2.0712380 </td></tr>\n",
"\t<tr><td>155 </td><td>138 </td><td>3.875 </td><td>3.978700 </td><td>3.771300 </td><td>0.37584653</td><td>1.0830959 </td><td>0.19676375</td><td>0.33638421</td><td>0.18914349</td><td>0.09537538</td><td>1.5979702 </td></tr>\n",
"\t<tr><td> 77 </td><td>139 </td><td>3.808 </td><td>4.044344 </td><td>3.571656 </td><td>0.52102125</td><td>1.1900952 </td><td>0.00000000</td><td>0.39066130</td><td>0.15749727</td><td>0.11909464</td><td>1.4298353 </td></tr>\n",
"\t<tr><td> 4 </td><td>140 </td><td>3.795 </td><td>3.951642 </td><td>3.638358 </td><td>0.85842818</td><td>1.1044120 </td><td>0.04986867</td><td>0.00000000</td><td>0.09792649</td><td>0.06972034</td><td>1.6144824 </td></tr>\n",
"\t<tr><td> 1 </td><td>141 </td><td>3.794 </td><td>3.873661 </td><td>3.714338 </td><td>0.40147722</td><td>0.5815433 </td><td>0.18074678</td><td>0.10617952</td><td>0.31187093</td><td>0.06115783</td><td>2.1508012 </td></tr>\n",
"\t<tr><td> 19 </td><td>142 </td><td>3.766 </td><td>3.874123 </td><td>3.657877 </td><td>1.12209415</td><td>1.2215550 </td><td>0.34175551</td><td>0.50519633</td><td>0.09934845</td><td>0.09858320</td><td>0.3779137 </td></tr>\n",
"\t<tr><td> 15 </td><td>143 </td><td>3.657 </td><td>3.745784 </td><td>3.568217 </td><td>0.43108541</td><td>0.4352998 </td><td>0.20993021</td><td>0.42596278</td><td>0.20794846</td><td>0.06092902</td><td>1.8856310 </td></tr>\n",
"\t<tr><td> 83 </td><td>144 </td><td>3.644 </td><td>3.714319 </td><td>3.573681 </td><td>0.30580869</td><td>0.9130204 </td><td>0.37522331</td><td>0.18919677</td><td>0.20873253</td><td>0.06723198</td><td>1.5846126 </td></tr>\n",
"\t<tr><td> 54 </td><td>145 </td><td>3.603 </td><td>3.734715 </td><td>3.471285 </td><td>0.36861026</td><td>0.6404498 </td><td>0.27732113</td><td>0.03036986</td><td>0.48920378</td><td>0.09987215</td><td>1.6971676 </td></tr>\n",
"\t<tr><td>153 </td><td>146 </td><td>3.593 </td><td>3.692750 </td><td>3.493250 </td><td>0.59168345</td><td>0.9353822 </td><td>0.31008092</td><td>0.24946372</td><td>0.10412521</td><td>0.05676742</td><td>1.3456006 </td></tr>\n",
"\t<tr><td>128 </td><td>147 </td><td>3.591 </td><td>3.725539 </td><td>3.456462 </td><td>0.39724863</td><td>0.6013231 </td><td>0.16348600</td><td>0.14706244</td><td>0.28567082</td><td>0.11679351</td><td>1.8795674 </td></tr>\n",
"\t<tr><td> 78 </td><td>148 </td><td>3.533 </td><td>3.653756 </td><td>3.412244 </td><td>0.11904179</td><td>0.8721179 </td><td>0.22991820</td><td>0.33288118</td><td>0.26654989</td><td>0.03894825</td><td>1.6732860 </td></tr>\n",
"\t<tr><td> 53 </td><td>149 </td><td>3.507 </td><td>3.584428 </td><td>3.429572 </td><td>0.24454993</td><td>0.7912447 </td><td>0.19412914</td><td>0.34858751</td><td>0.26481509</td><td>0.11093762</td><td>1.5523119 </td></tr>\n",
"\t<tr><td>139 </td><td>150 </td><td>3.495 </td><td>3.594038 </td><td>3.395962 </td><td>0.30544472</td><td>0.4318825 </td><td>0.24710557</td><td>0.38042614</td><td>0.19689615</td><td>0.09566502</td><td>1.8372293 </td></tr>\n",
"\t<tr><td>117 </td><td>151 </td><td>3.471 </td><td>3.543030 </td><td>3.398970 </td><td>0.36874589</td><td>0.9457070 </td><td>0.32642481</td><td>0.58184385</td><td>0.25275603</td><td>0.45522001</td><td>0.5400612 </td></tr>\n",
"\t<tr><td>134 </td><td>152 </td><td>3.462 </td><td>3.663669 </td><td>3.260331 </td><td>0.77715313</td><td>0.3961026 </td><td>0.50053334</td><td>0.08153944</td><td>0.49366373</td><td>0.15134713</td><td>1.0615735 </td></tr>\n",
"\t<tr><td>137 </td><td>153 </td><td>3.349 </td><td>3.461430 </td><td>3.236570 </td><td>0.51113588</td><td>1.0419898 </td><td>0.36450928</td><td>0.39001778</td><td>0.35425636</td><td>0.06603511</td><td>0.6211305 </td></tr>\n",
"\t<tr><td> 23 </td><td>154 </td><td>2.905 </td><td>3.074690 </td><td>2.735310 </td><td>0.09162257</td><td>0.6297936 </td><td>0.15161079</td><td>0.05990075</td><td>0.20443518</td><td>0.08414795</td><td>1.6830242 </td></tr>\n",
"\t<tr><td> 27 </td><td>155 </td><td>2.693 </td><td>2.864884 </td><td>2.521116 </td><td>0.00000000</td><td>0.0000000 </td><td>0.01877269</td><td>0.27084205</td><td>0.28087649</td><td>0.05656508</td><td>2.0660048 </td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"\\begin{tabular}{llllllllllll}\n",
" Country & Happiness.Rank & Happiness.Score & Whisker.high & Whisker.low & Economy..GDP.per.Capita. & Family & Health..Life.Expectancy. & Freedom & Generosity & Trust..Government.Corruption. & Dystopia.Residual\\\\\n",
"\\hline\n",
"\t 105 & 1 & 7.537 & 7.594445 & 7.479556 & 1.6164632 & 1.533524 & 0.7966665 & 0.6354226 & 0.36201224 & 0.31596383 & 2.277027 \\\\\n",
"\t 38 & 2 & 7.522 & 7.581728 & 7.462272 & 1.4823830 & 1.551122 & 0.7925655 & 0.6260067 & 0.35528049 & 0.40077007 & 2.313707 \\\\\n",
"\t 58 & 3 & 7.504 & 7.622030 & 7.385970 & 1.4806330 & 1.610574 & 0.8335521 & 0.6271626 & 0.47554022 & 0.15352656 & 2.322715 \\\\\n",
"\t 133 & 4 & 7.494 & 7.561772 & 7.426227 & 1.5649796 & 1.516912 & 0.8581313 & 0.6200706 & 0.29054928 & 0.36700729 & 2.276716 \\\\\n",
"\t 45 & 5 & 7.469 & 7.527542 & 7.410458 & 1.4435719 & 1.540247 & 0.8091577 & 0.6179509 & 0.24548277 & 0.38261154 & 2.430182 \\\\\n",
"\t 99 & 6 & 7.377 & 7.427426 & 7.326574 & 1.5039446 & 1.428939 & 0.8106961 & 0.5853845 & 0.47048983 & 0.28266183 & 2.294804 \\\\\n",
"\t 26 & 7 & 7.316 & 7.384403 & 7.247597 & 1.4792044 & 1.481349 & 0.8345577 & 0.6111009 & 0.43553972 & 0.28737152 & 2.187264 \\\\\n",
"\t 100 & 8 & 7.314 & 7.379510 & 7.248490 & 1.4057060 & 1.548195 & 0.8167597 & 0.6140621 & 0.50000513 & 0.38281670 & 2.046456 \\\\\n",
"\t 132 & 9 & 7.284 & 7.344095 & 7.223905 & 1.4943873 & 1.478162 & 0.8308752 & 0.6129241 & 0.38539925 & 0.38439873 & 2.097538 \\\\\n",
"\t 7 & 10 & 7.284 & 7.356651 & 7.211349 & 1.4844149 & 1.510042 & 0.8438868 & 0.6016074 & 0.47769925 & 0.30118373 & 2.065211 \\\\\n",
"\t 64 & 11 & 7.213 & 7.279853 & 7.146146 & 1.3753824 & 1.376290 & 0.8384040 & 0.4059886 & 0.33008265 & 0.08524210 & 2.801757 \\\\\n",
"\t 34 & 12 & 7.079 & 7.168112 & 6.989888 & 1.1097063 & 1.416404 & 0.7595093 & 0.5801316 & 0.21461323 & 0.10010659 & 2.898639 \\\\\n",
"\t 8 & 13 & 7.006 & 7.070670 & 6.941330 & 1.4870973 & 1.459945 & 0.8153284 & 0.5677662 & 0.31647232 & 0.22106037 & 2.138506 \\\\\n",
"\t 148 & 14 & 6.993 & 7.074657 & 6.911343 & 1.5462593 & 1.419921 & 0.7742866 & 0.5057405 & 0.39257878 & 0.13563879 & 2.218113 \\\\\n",
"\t 63 & 15 & 6.977 & 7.043352 & 6.910649 & 1.5357066 & 1.558231 & 0.8097826 & 0.5731103 & 0.42785832 & 0.29838815 & 1.773869 \\\\\n",
"\t 49 & 16 & 6.951 & 7.005382 & 6.896619 & 1.4879234 & 1.472520 & 0.7989507 & 0.5625114 & 0.33626917 & 0.27673194 & 2.015770 \\\\\n",
"\t 13 & 17 & 6.891 & 6.955821 & 6.826179 & 1.4637808 & 1.462313 & 0.8180919 & 0.5397707 & 0.23150334 & 0.25134313 & 2.124210 \\\\\n",
"\t 81 & 18 & 6.863 & 6.923686 & 6.802314 & 1.7419436 & 1.457584 & 0.8450895 & 0.5966279 & 0.28318098 & 0.31883442 & 1.619512 \\\\\n",
"\t 147 & 19 & 6.714 & 6.783792 & 6.644209 & 1.4416339 & 1.496460 & 0.8053359 & 0.5081900 & 0.49277416 & 0.26542807 & 1.704144 \\\\\n",
"\t 29 & 20 & 6.652 & 6.739251 & 6.564749 & 1.2527846 & 1.284025 & 0.8194797 & 0.3768953 & 0.32666242 & 0.08228798 & 2.509586 \\\\\n",
"\t 146 & 21 & 6.648 & 6.722047 & 6.573952 & 1.6263434 & 1.266410 & 0.7267982 & 0.6083453 & 0.36094195 & 0.32448956 & 1.734704 \\\\\n",
"\t 20 & 22 & 6.635 & 6.725470 & 6.544531 & 1.1073532 & 1.431306 & 0.6165524 & 0.4374537 & 0.16234989 & 0.11109276 & 2.769267 \\\\\n",
"\t 37 & 23 & 6.609 & 6.683862 & 6.534138 & 1.3526824 & 1.433885 & 0.7544440 & 0.4909462 & 0.08810676 & 0.03687293 & 2.451862 \\\\\n",
"\t 5 & 24 & 6.599 & 6.690085 & 6.507915 & 1.1852955 & 1.440451 & 0.6951371 & 0.4945192 & 0.10945706 & 0.05973989 & 2.614005 \\\\\n",
"\t 90 & 25 & 6.578 & 6.671149 & 6.484851 & 1.1531838 & 1.210862 & 0.7099790 & 0.4127300 & 0.12099043 & 0.13277411 & 2.837155 \\\\\n",
"\t 122 & 26 & 6.572 & 6.636723 & 6.507277 & 1.6922777 & 1.353814 & 0.9494924 & 0.5498406 & 0.34596598 & 0.46430779 & 1.216362 \\\\\n",
"\t 87 & 27 & 6.527 & 6.598397 & 6.455603 & 1.3432798 & 1.488412 & 0.8219442 & 0.5887671 & 0.57473058 & 0.15306607 & 1.556863 \\\\\n",
"\t 149 & 28 & 6.454 & 6.545906 & 6.362094 & 1.2175597 & 1.412228 & 0.7192168 & 0.5793923 & 0.17509693 & 0.17806187 & 2.172410 \\\\\n",
"\t 52 & 29 & 6.454 & 6.566874 & 6.341126 & 0.8720019 & 1.255585 & 0.5402400 & 0.5313106 & 0.28348839 & 0.07722328 & 2.893891 \\\\\n",
"\t 108 & 30 & 6.452 & 6.557131 & 6.346870 & 1.2337484 & 1.373193 & 0.7061561 & 0.5500268 & 0.21055694 & 0.07098392 & 2.307200 \\\\\n",
"\t ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n",
"\t 33 & 126 & 4.280 & 4.357811 & 4.202190 & 0.09210235 & 1.2290235 & 0.19140702 & 0.23596135 & 0.24645583 & 0.06024136 & 2.2249587 \\\\\n",
"\t 86 & 127 & 4.190 & 4.269671 & 4.110329 & 0.47618049 & 1.2814734 & 0.16936567 & 0.30661374 & 0.18335420 & 0.10497025 & 1.6681910 \\\\\n",
"\t 66 & 128 & 4.180 & 4.275183 & 4.084817 & 0.60304892 & 0.9047800 & 0.04864217 & 0.44770619 & 0.20123747 & 0.13006178 & 1.8449643 \\\\\n",
"\t 24 & 129 & 4.168 & 4.278518 & 4.057483 & 0.60176510 & 1.0062383 & 0.42978340 & 0.63337582 & 0.38592297 & 0.06810595 & 1.0429411 \\\\\n",
"\t 131 & 130 & 4.139 & 4.345747 & 3.932253 & 0.65951669 & 1.2140086 & 0.29092082 & 0.01499586 & 0.18231745 & 0.08984752 & 1.6870658 \\\\\n",
"\t 50 & 131 & 4.120 & 4.222707 & 4.017293 & 0.66722482 & 0.8736647 & 0.29563773 & 0.42302629 & 0.25692394 & 0.02533637 & 1.5778675 \\\\\n",
"\t 145 & 132 & 4.096 & 4.185410 & 4.006590 & 0.89465195 & 1.3945376 & 0.57590395 & 0.12297478 & 0.27006146 & 0.02302947 & 0.8143823 \\\\\n",
"\t 144 & 133 & 4.081 & 4.195800 & 3.966200 & 0.38143072 & 1.1298277 & 0.21763261 & 0.44318596 & 0.32576606 & 0.05706972 & 1.5263627 \\\\\n",
"\t 22 & 134 & 4.032 & 4.124059 & 3.939941 & 0.35022771 & 1.0432800 & 0.21584426 & 0.32436785 & 0.25086468 & 0.12032811 & 1.7272129 \\\\\n",
"\t 102 & 135 & 4.028 & 4.111947 & 3.944053 & 0.16192533 & 0.9930250 & 0.26850501 & 0.36365870 & 0.22867385 & 0.13857295 & 1.8739834 \\\\\n",
"\t 84 & 136 & 3.970 & 4.077479 & 3.862521 & 0.23344204 & 0.5125688 & 0.31508958 & 0.46691465 & 0.28717047 & 0.07271165 & 2.0817862 \\\\\n",
"\t 28 & 137 & 3.936 & 4.034712 & 3.837289 & 0.43801299 & 0.9538559 & 0.04113472 & 0.16234203 & 0.21611385 & 0.05358188 & 2.0712380 \\\\\n",
"\t 155 & 138 & 3.875 & 3.978700 & 3.771300 & 0.37584653 & 1.0830959 & 0.19676375 & 0.33638421 & 0.18914349 & 0.09537538 & 1.5979702 \\\\\n",
"\t 77 & 139 & 3.808 & 4.044344 & 3.571656 & 0.52102125 & 1.1900952 & 0.00000000 & 0.39066130 & 0.15749727 & 0.11909464 & 1.4298353 \\\\\n",
"\t 4 & 140 & 3.795 & 3.951642 & 3.638358 & 0.85842818 & 1.1044120 & 0.04986867 & 0.00000000 & 0.09792649 & 0.06972034 & 1.6144824 \\\\\n",
"\t 1 & 141 & 3.794 & 3.873661 & 3.714338 & 0.40147722 & 0.5815433 & 0.18074678 & 0.10617952 & 0.31187093 & 0.06115783 & 2.1508012 \\\\\n",
"\t 19 & 142 & 3.766 & 3.874123 & 3.657877 & 1.12209415 & 1.2215550 & 0.34175551 & 0.50519633 & 0.09934845 & 0.09858320 & 0.3779137 \\\\\n",
"\t 15 & 143 & 3.657 & 3.745784 & 3.568217 & 0.43108541 & 0.4352998 & 0.20993021 & 0.42596278 & 0.20794846 & 0.06092902 & 1.8856310 \\\\\n",
"\t 83 & 144 & 3.644 & 3.714319 & 3.573681 & 0.30580869 & 0.9130204 & 0.37522331 & 0.18919677 & 0.20873253 & 0.06723198 & 1.5846126 \\\\\n",
"\t 54 & 145 & 3.603 & 3.734715 & 3.471285 & 0.36861026 & 0.6404498 & 0.27732113 & 0.03036986 & 0.48920378 & 0.09987215 & 1.6971676 \\\\\n",
"\t 153 & 146 & 3.593 & 3.692750 & 3.493250 & 0.59168345 & 0.9353822 & 0.31008092 & 0.24946372 & 0.10412521 & 0.05676742 & 1.3456006 \\\\\n",
"\t 128 & 147 & 3.591 & 3.725539 & 3.456462 & 0.39724863 & 0.6013231 & 0.16348600 & 0.14706244 & 0.28567082 & 0.11679351 & 1.8795674 \\\\\n",
"\t 78 & 148 & 3.533 & 3.653756 & 3.412244 & 0.11904179 & 0.8721179 & 0.22991820 & 0.33288118 & 0.26654989 & 0.03894825 & 1.6732860 \\\\\n",
"\t 53 & 149 & 3.507 & 3.584428 & 3.429572 & 0.24454993 & 0.7912447 & 0.19412914 & 0.34858751 & 0.26481509 & 0.11093762 & 1.5523119 \\\\\n",
"\t 139 & 150 & 3.495 & 3.594038 & 3.395962 & 0.30544472 & 0.4318825 & 0.24710557 & 0.38042614 & 0.19689615 & 0.09566502 & 1.8372293 \\\\\n",
"\t 117 & 151 & 3.471 & 3.543030 & 3.398970 & 0.36874589 & 0.9457070 & 0.32642481 & 0.58184385 & 0.25275603 & 0.45522001 & 0.5400612 \\\\\n",
"\t 134 & 152 & 3.462 & 3.663669 & 3.260331 & 0.77715313 & 0.3961026 & 0.50053334 & 0.08153944 & 0.49366373 & 0.15134713 & 1.0615735 \\\\\n",
"\t 137 & 153 & 3.349 & 3.461430 & 3.236570 & 0.51113588 & 1.0419898 & 0.36450928 & 0.39001778 & 0.35425636 & 0.06603511 & 0.6211305 \\\\\n",
"\t 23 & 154 & 2.905 & 3.074690 & 2.735310 & 0.09162257 & 0.6297936 & 0.15161079 & 0.05990075 & 0.20443518 & 0.08414795 & 1.6830242 \\\\\n",
"\t 27 & 155 & 2.693 & 2.864884 & 2.521116 & 0.00000000 & 0.0000000 & 0.01877269 & 0.27084205 & 0.28087649 & 0.05656508 & 2.0660048 \\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"Country | Happiness.Rank | Happiness.Score | Whisker.high | Whisker.low | Economy..GDP.per.Capita. | Family | Health..Life.Expectancy. | Freedom | Generosity | Trust..Government.Corruption. | Dystopia.Residual | \n",
"|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
"| 105 | 1 | 7.537 | 7.594445 | 7.479556 | 1.6164632 | 1.533524 | 0.7966665 | 0.6354226 | 0.36201224 | 0.31596383 | 2.277027 | \n",
"| 38 | 2 | 7.522 | 7.581728 | 7.462272 | 1.4823830 | 1.551122 | 0.7925655 | 0.6260067 | 0.35528049 | 0.40077007 | 2.313707 | \n",
"| 58 | 3 | 7.504 | 7.622030 | 7.385970 | 1.4806330 | 1.610574 | 0.8335521 | 0.6271626 | 0.47554022 | 0.15352656 | 2.322715 | \n",
"| 133 | 4 | 7.494 | 7.561772 | 7.426227 | 1.5649796 | 1.516912 | 0.8581313 | 0.6200706 | 0.29054928 | 0.36700729 | 2.276716 | \n",
"| 45 | 5 | 7.469 | 7.527542 | 7.410458 | 1.4435719 | 1.540247 | 0.8091577 | 0.6179509 | 0.24548277 | 0.38261154 | 2.430182 | \n",
"| 99 | 6 | 7.377 | 7.427426 | 7.326574 | 1.5039446 | 1.428939 | 0.8106961 | 0.5853845 | 0.47048983 | 0.28266183 | 2.294804 | \n",
"| 26 | 7 | 7.316 | 7.384403 | 7.247597 | 1.4792044 | 1.481349 | 0.8345577 | 0.6111009 | 0.43553972 | 0.28737152 | 2.187264 | \n",
"| 100 | 8 | 7.314 | 7.379510 | 7.248490 | 1.4057060 | 1.548195 | 0.8167597 | 0.6140621 | 0.50000513 | 0.38281670 | 2.046456 | \n",
"| 132 | 9 | 7.284 | 7.344095 | 7.223905 | 1.4943873 | 1.478162 | 0.8308752 | 0.6129241 | 0.38539925 | 0.38439873 | 2.097538 | \n",
"| 7 | 10 | 7.284 | 7.356651 | 7.211349 | 1.4844149 | 1.510042 | 0.8438868 | 0.6016074 | 0.47769925 | 0.30118373 | 2.065211 | \n",
"| 64 | 11 | 7.213 | 7.279853 | 7.146146 | 1.3753824 | 1.376290 | 0.8384040 | 0.4059886 | 0.33008265 | 0.08524210 | 2.801757 | \n",
"| 34 | 12 | 7.079 | 7.168112 | 6.989888 | 1.1097063 | 1.416404 | 0.7595093 | 0.5801316 | 0.21461323 | 0.10010659 | 2.898639 | \n",
"| 8 | 13 | 7.006 | 7.070670 | 6.941330 | 1.4870973 | 1.459945 | 0.8153284 | 0.5677662 | 0.31647232 | 0.22106037 | 2.138506 | \n",
"| 148 | 14 | 6.993 | 7.074657 | 6.911343 | 1.5462593 | 1.419921 | 0.7742866 | 0.5057405 | 0.39257878 | 0.13563879 | 2.218113 | \n",
"| 63 | 15 | 6.977 | 7.043352 | 6.910649 | 1.5357066 | 1.558231 | 0.8097826 | 0.5731103 | 0.42785832 | 0.29838815 | 1.773869 | \n",
"| 49 | 16 | 6.951 | 7.005382 | 6.896619 | 1.4879234 | 1.472520 | 0.7989507 | 0.5625114 | 0.33626917 | 0.27673194 | 2.015770 | \n",
"| 13 | 17 | 6.891 | 6.955821 | 6.826179 | 1.4637808 | 1.462313 | 0.8180919 | 0.5397707 | 0.23150334 | 0.25134313 | 2.124210 | \n",
"| 81 | 18 | 6.863 | 6.923686 | 6.802314 | 1.7419436 | 1.457584 | 0.8450895 | 0.5966279 | 0.28318098 | 0.31883442 | 1.619512 | \n",
"| 147 | 19 | 6.714 | 6.783792 | 6.644209 | 1.4416339 | 1.496460 | 0.8053359 | 0.5081900 | 0.49277416 | 0.26542807 | 1.704144 | \n",
"| 29 | 20 | 6.652 | 6.739251 | 6.564749 | 1.2527846 | 1.284025 | 0.8194797 | 0.3768953 | 0.32666242 | 0.08228798 | 2.509586 | \n",
"| 146 | 21 | 6.648 | 6.722047 | 6.573952 | 1.6263434 | 1.266410 | 0.7267982 | 0.6083453 | 0.36094195 | 0.32448956 | 1.734704 | \n",
"| 20 | 22 | 6.635 | 6.725470 | 6.544531 | 1.1073532 | 1.431306 | 0.6165524 | 0.4374537 | 0.16234989 | 0.11109276 | 2.769267 | \n",
"| 37 | 23 | 6.609 | 6.683862 | 6.534138 | 1.3526824 | 1.433885 | 0.7544440 | 0.4909462 | 0.08810676 | 0.03687293 | 2.451862 | \n",
"| 5 | 24 | 6.599 | 6.690085 | 6.507915 | 1.1852955 | 1.440451 | 0.6951371 | 0.4945192 | 0.10945706 | 0.05973989 | 2.614005 | \n",
"| 90 | 25 | 6.578 | 6.671149 | 6.484851 | 1.1531838 | 1.210862 | 0.7099790 | 0.4127300 | 0.12099043 | 0.13277411 | 2.837155 | \n",
"| 122 | 26 | 6.572 | 6.636723 | 6.507277 | 1.6922777 | 1.353814 | 0.9494924 | 0.5498406 | 0.34596598 | 0.46430779 | 1.216362 | \n",
"| 87 | 27 | 6.527 | 6.598397 | 6.455603 | 1.3432798 | 1.488412 | 0.8219442 | 0.5887671 | 0.57473058 | 0.15306607 | 1.556863 | \n",
"| 149 | 28 | 6.454 | 6.545906 | 6.362094 | 1.2175597 | 1.412228 | 0.7192168 | 0.5793923 | 0.17509693 | 0.17806187 | 2.172410 | \n",
"| 52 | 29 | 6.454 | 6.566874 | 6.341126 | 0.8720019 | 1.255585 | 0.5402400 | 0.5313106 | 0.28348839 | 0.07722328 | 2.893891 | \n",
"| 108 | 30 | 6.452 | 6.557131 | 6.346870 | 1.2337484 | 1.373193 | 0.7061561 | 0.5500268 | 0.21055694 | 0.07098392 | 2.307200 | \n",
"| ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | \n",
"| 33 | 126 | 4.280 | 4.357811 | 4.202190 | 0.09210235 | 1.2290235 | 0.19140702 | 0.23596135 | 0.24645583 | 0.06024136 | 2.2249587 | \n",
"| 86 | 127 | 4.190 | 4.269671 | 4.110329 | 0.47618049 | 1.2814734 | 0.16936567 | 0.30661374 | 0.18335420 | 0.10497025 | 1.6681910 | \n",
"| 66 | 128 | 4.180 | 4.275183 | 4.084817 | 0.60304892 | 0.9047800 | 0.04864217 | 0.44770619 | 0.20123747 | 0.13006178 | 1.8449643 | \n",
"| 24 | 129 | 4.168 | 4.278518 | 4.057483 | 0.60176510 | 1.0062383 | 0.42978340 | 0.63337582 | 0.38592297 | 0.06810595 | 1.0429411 | \n",
"| 131 | 130 | 4.139 | 4.345747 | 3.932253 | 0.65951669 | 1.2140086 | 0.29092082 | 0.01499586 | 0.18231745 | 0.08984752 | 1.6870658 | \n",
"| 50 | 131 | 4.120 | 4.222707 | 4.017293 | 0.66722482 | 0.8736647 | 0.29563773 | 0.42302629 | 0.25692394 | 0.02533637 | 1.5778675 | \n",
"| 145 | 132 | 4.096 | 4.185410 | 4.006590 | 0.89465195 | 1.3945376 | 0.57590395 | 0.12297478 | 0.27006146 | 0.02302947 | 0.8143823 | \n",
"| 144 | 133 | 4.081 | 4.195800 | 3.966200 | 0.38143072 | 1.1298277 | 0.21763261 | 0.44318596 | 0.32576606 | 0.05706972 | 1.5263627 | \n",
"| 22 | 134 | 4.032 | 4.124059 | 3.939941 | 0.35022771 | 1.0432800 | 0.21584426 | 0.32436785 | 0.25086468 | 0.12032811 | 1.7272129 | \n",
"| 102 | 135 | 4.028 | 4.111947 | 3.944053 | 0.16192533 | 0.9930250 | 0.26850501 | 0.36365870 | 0.22867385 | 0.13857295 | 1.8739834 | \n",
"| 84 | 136 | 3.970 | 4.077479 | 3.862521 | 0.23344204 | 0.5125688 | 0.31508958 | 0.46691465 | 0.28717047 | 0.07271165 | 2.0817862 | \n",
"| 28 | 137 | 3.936 | 4.034712 | 3.837289 | 0.43801299 | 0.9538559 | 0.04113472 | 0.16234203 | 0.21611385 | 0.05358188 | 2.0712380 | \n",
"| 155 | 138 | 3.875 | 3.978700 | 3.771300 | 0.37584653 | 1.0830959 | 0.19676375 | 0.33638421 | 0.18914349 | 0.09537538 | 1.5979702 | \n",
"| 77 | 139 | 3.808 | 4.044344 | 3.571656 | 0.52102125 | 1.1900952 | 0.00000000 | 0.39066130 | 0.15749727 | 0.11909464 | 1.4298353 | \n",
"| 4 | 140 | 3.795 | 3.951642 | 3.638358 | 0.85842818 | 1.1044120 | 0.04986867 | 0.00000000 | 0.09792649 | 0.06972034 | 1.6144824 | \n",
"| 1 | 141 | 3.794 | 3.873661 | 3.714338 | 0.40147722 | 0.5815433 | 0.18074678 | 0.10617952 | 0.31187093 | 0.06115783 | 2.1508012 | \n",
"| 19 | 142 | 3.766 | 3.874123 | 3.657877 | 1.12209415 | 1.2215550 | 0.34175551 | 0.50519633 | 0.09934845 | 0.09858320 | 0.3779137 | \n",
"| 15 | 143 | 3.657 | 3.745784 | 3.568217 | 0.43108541 | 0.4352998 | 0.20993021 | 0.42596278 | 0.20794846 | 0.06092902 | 1.8856310 | \n",
"| 83 | 144 | 3.644 | 3.714319 | 3.573681 | 0.30580869 | 0.9130204 | 0.37522331 | 0.18919677 | 0.20873253 | 0.06723198 | 1.5846126 | \n",
"| 54 | 145 | 3.603 | 3.734715 | 3.471285 | 0.36861026 | 0.6404498 | 0.27732113 | 0.03036986 | 0.48920378 | 0.09987215 | 1.6971676 | \n",
"| 153 | 146 | 3.593 | 3.692750 | 3.493250 | 0.59168345 | 0.9353822 | 0.31008092 | 0.24946372 | 0.10412521 | 0.05676742 | 1.3456006 | \n",
"| 128 | 147 | 3.591 | 3.725539 | 3.456462 | 0.39724863 | 0.6013231 | 0.16348600 | 0.14706244 | 0.28567082 | 0.11679351 | 1.8795674 | \n",
"| 78 | 148 | 3.533 | 3.653756 | 3.412244 | 0.11904179 | 0.8721179 | 0.22991820 | 0.33288118 | 0.26654989 | 0.03894825 | 1.6732860 | \n",
"| 53 | 149 | 3.507 | 3.584428 | 3.429572 | 0.24454993 | 0.7912447 | 0.19412914 | 0.34858751 | 0.26481509 | 0.11093762 | 1.5523119 | \n",
"| 139 | 150 | 3.495 | 3.594038 | 3.395962 | 0.30544472 | 0.4318825 | 0.24710557 | 0.38042614 | 0.19689615 | 0.09566502 | 1.8372293 | \n",
"| 117 | 151 | 3.471 | 3.543030 | 3.398970 | 0.36874589 | 0.9457070 | 0.32642481 | 0.58184385 | 0.25275603 | 0.45522001 | 0.5400612 | \n",
"| 134 | 152 | 3.462 | 3.663669 | 3.260331 | 0.77715313 | 0.3961026 | 0.50053334 | 0.08153944 | 0.49366373 | 0.15134713 | 1.0615735 | \n",
"| 137 | 153 | 3.349 | 3.461430 | 3.236570 | 0.51113588 | 1.0419898 | 0.36450928 | 0.39001778 | 0.35425636 | 0.06603511 | 0.6211305 | \n",
"| 23 | 154 | 2.905 | 3.074690 | 2.735310 | 0.09162257 | 0.6297936 | 0.15161079 | 0.05990075 | 0.20443518 | 0.08414795 | 1.6830242 | \n",
"| 27 | 155 | 2.693 | 2.864884 | 2.521116 | 0.00000000 | 0.0000000 | 0.01877269 | 0.27084205 | 0.28087649 | 0.05656508 | 2.0660048 | \n",
"\n",
"\n"
],
"text/plain": [
" Country Happiness.Rank Happiness.Score Whisker.high Whisker.low\n",
" [1,] 105 1 7.537 7.594445 7.479556 \n",
" [2,] 38 2 7.522 7.581728 7.462272 \n",
" [3,] 58 3 7.504 7.622030 7.385970 \n",
" [4,] 133 4 7.494 7.561772 7.426227 \n",
" [5,] 45 5 7.469 7.527542 7.410458 \n",
" [6,] 99 6 7.377 7.427426 7.326574 \n",
" [7,] 26 7 7.316 7.384403 7.247597 \n",
" [8,] 100 8 7.314 7.379510 7.248490 \n",
" [9,] 132 9 7.284 7.344095 7.223905 \n",
"[10,] 7 10 7.284 7.356651 7.211349 \n",
"[11,] 64 11 7.213 7.279853 7.146146 \n",
"[12,] 34 12 7.079 7.168112 6.989888 \n",
"[13,] 8 13 7.006 7.070670 6.941330 \n",
"[14,] 148 14 6.993 7.074657 6.911343 \n",
"[15,] 63 15 6.977 7.043352 6.910649 \n",
"[16,] 49 16 6.951 7.005382 6.896619 \n",
"[17,] 13 17 6.891 6.955821 6.826179 \n",
"[18,] 81 18 6.863 6.923686 6.802314 \n",
"[19,] 147 19 6.714 6.783792 6.644209 \n",
"[20,] 29 20 6.652 6.739251 6.564749 \n",
"[21,] 146 21 6.648 6.722047 6.573952 \n",
"[22,] 20 22 6.635 6.725470 6.544531 \n",
"[23,] 37 23 6.609 6.683862 6.534138 \n",
"[24,] 5 24 6.599 6.690085 6.507915 \n",
"[25,] 90 25 6.578 6.671149 6.484851 \n",
"[26,] 122 26 6.572 6.636723 6.507277 \n",
"[27,] 87 27 6.527 6.598397 6.455603 \n",
"[28,] 149 28 6.454 6.545906 6.362094 \n",
"[29,] 52 29 6.454 6.566874 6.341126 \n",
"[30,] 108 30 6.452 6.557131 6.346870 \n",
"[31,] ⋮ ⋮ ⋮ ⋮ ⋮ \n",
"[32,] 33 126 4.280 4.357811 4.202190 \n",
"[33,] 86 127 4.190 4.269671 4.110329 \n",
"[34,] 66 128 4.180 4.275183 4.084817 \n",
"[35,] 24 129 4.168 4.278518 4.057483 \n",
"[36,] 131 130 4.139 4.345747 3.932253 \n",
"[37,] 50 131 4.120 4.222707 4.017293 \n",
"[38,] 145 132 4.096 4.185410 4.006590 \n",
"[39,] 144 133 4.081 4.195800 3.966200 \n",
"[40,] 22 134 4.032 4.124059 3.939941 \n",
"[41,] 102 135 4.028 4.111947 3.944053 \n",
"[42,] 84 136 3.970 4.077479 3.862521 \n",
"[43,] 28 137 3.936 4.034712 3.837289 \n",
"[44,] 155 138 3.875 3.978700 3.771300 \n",
"[45,] 77 139 3.808 4.044344 3.571656 \n",
"[46,] 4 140 3.795 3.951642 3.638358 \n",
"[47,] 1 141 3.794 3.873661 3.714338 \n",
"[48,] 19 142 3.766 3.874123 3.657877 \n",
"[49,] 15 143 3.657 3.745784 3.568217 \n",
"[50,] 83 144 3.644 3.714319 3.573681 \n",
"[51,] 54 145 3.603 3.734715 3.471285 \n",
"[52,] 153 146 3.593 3.692750 3.493250 \n",
"[53,] 128 147 3.591 3.725539 3.456462 \n",
"[54,] 78 148 3.533 3.653756 3.412244 \n",
"[55,] 53 149 3.507 3.584428 3.429572 \n",
"[56,] 139 150 3.495 3.594038 3.395962 \n",
"[57,] 117 151 3.471 3.543030 3.398970 \n",
"[58,] 134 152 3.462 3.663669 3.260331 \n",
"[59,] 137 153 3.349 3.461430 3.236570 \n",
"[60,] 23 154 2.905 3.074690 2.735310 \n",
"[61,] 27 155 2.693 2.864884 2.521116 \n",
" Economy..GDP.per.Capita. Family Health..Life.Expectancy. Freedom \n",
" [1,] 1.6164632 1.533524 0.7966665 0.6354226 \n",
" [2,] 1.4823830 1.551122 0.7925655 0.6260067 \n",
" [3,] 1.4806330 1.610574 0.8335521 0.6271626 \n",
" [4,] 1.5649796 1.516912 0.8581313 0.6200706 \n",
" [5,] 1.4435719 1.540247 0.8091577 0.6179509 \n",
" [6,] 1.5039446 1.428939 0.8106961 0.5853845 \n",
" [7,] 1.4792044 1.481349 0.8345577 0.6111009 \n",
" [8,] 1.4057060 1.548195 0.8167597 0.6140621 \n",
" [9,] 1.4943873 1.478162 0.8308752 0.6129241 \n",
"[10,] 1.4844149 1.510042 0.8438868 0.6016074 \n",
"[11,] 1.3753824 1.376290 0.8384040 0.4059886 \n",
"[12,] 1.1097063 1.416404 0.7595093 0.5801316 \n",
"[13,] 1.4870973 1.459945 0.8153284 0.5677662 \n",
"[14,] 1.5462593 1.419921 0.7742866 0.5057405 \n",
"[15,] 1.5357066 1.558231 0.8097826 0.5731103 \n",
"[16,] 1.4879234 1.472520 0.7989507 0.5625114 \n",
"[17,] 1.4637808 1.462313 0.8180919 0.5397707 \n",
"[18,] 1.7419436 1.457584 0.8450895 0.5966279 \n",
"[19,] 1.4416339 1.496460 0.8053359 0.5081900 \n",
"[20,] 1.2527846 1.284025 0.8194797 0.3768953 \n",
"[21,] 1.6263434 1.266410 0.7267982 0.6083453 \n",
"[22,] 1.1073532 1.431306 0.6165524 0.4374537 \n",
"[23,] 1.3526824 1.433885 0.7544440 0.4909462 \n",
"[24,] 1.1852955 1.440451 0.6951371 0.4945192 \n",
"[25,] 1.1531838 1.210862 0.7099790 0.4127300 \n",
"[26,] 1.6922777 1.353814 0.9494924 0.5498406 \n",
"[27,] 1.3432798 1.488412 0.8219442 0.5887671 \n",
"[28,] 1.2175597 1.412228 0.7192168 0.5793923 \n",
"[29,] 0.8720019 1.255585 0.5402400 0.5313106 \n",
"[30,] 1.2337484 1.373193 0.7061561 0.5500268 \n",
"[31,] ⋮ ⋮ ⋮ ⋮ \n",
"[32,] 0.09210235 1.2290235 0.19140702 0.23596135\n",
"[33,] 0.47618049 1.2814734 0.16936567 0.30661374\n",
"[34,] 0.60304892 0.9047800 0.04864217 0.44770619\n",
"[35,] 0.60176510 1.0062383 0.42978340 0.63337582\n",
"[36,] 0.65951669 1.2140086 0.29092082 0.01499586\n",
"[37,] 0.66722482 0.8736647 0.29563773 0.42302629\n",
"[38,] 0.89465195 1.3945376 0.57590395 0.12297478\n",
"[39,] 0.38143072 1.1298277 0.21763261 0.44318596\n",
"[40,] 0.35022771 1.0432800 0.21584426 0.32436785\n",
"[41,] 0.16192533 0.9930250 0.26850501 0.36365870\n",
"[42,] 0.23344204 0.5125688 0.31508958 0.46691465\n",
"[43,] 0.43801299 0.9538559 0.04113472 0.16234203\n",
"[44,] 0.37584653 1.0830959 0.19676375 0.33638421\n",
"[45,] 0.52102125 1.1900952 0.00000000 0.39066130\n",
"[46,] 0.85842818 1.1044120 0.04986867 0.00000000\n",
"[47,] 0.40147722 0.5815433 0.18074678 0.10617952\n",
"[48,] 1.12209415 1.2215550 0.34175551 0.50519633\n",
"[49,] 0.43108541 0.4352998 0.20993021 0.42596278\n",
"[50,] 0.30580869 0.9130204 0.37522331 0.18919677\n",
"[51,] 0.36861026 0.6404498 0.27732113 0.03036986\n",
"[52,] 0.59168345 0.9353822 0.31008092 0.24946372\n",
"[53,] 0.39724863 0.6013231 0.16348600 0.14706244\n",
"[54,] 0.11904179 0.8721179 0.22991820 0.33288118\n",
"[55,] 0.24454993 0.7912447 0.19412914 0.34858751\n",
"[56,] 0.30544472 0.4318825 0.24710557 0.38042614\n",
"[57,] 0.36874589 0.9457070 0.32642481 0.58184385\n",
"[58,] 0.77715313 0.3961026 0.50053334 0.08153944\n",
"[59,] 0.51113588 1.0419898 0.36450928 0.39001778\n",
"[60,] 0.09162257 0.6297936 0.15161079 0.05990075\n",
"[61,] 0.00000000 0.0000000 0.01877269 0.27084205\n",
" Generosity Trust..Government.Corruption. Dystopia.Residual\n",
" [1,] 0.36201224 0.31596383 2.277027 \n",
" [2,] 0.35528049 0.40077007 2.313707 \n",
" [3,] 0.47554022 0.15352656 2.322715 \n",
" [4,] 0.29054928 0.36700729 2.276716 \n",
" [5,] 0.24548277 0.38261154 2.430182 \n",
" [6,] 0.47048983 0.28266183 2.294804 \n",
" [7,] 0.43553972 0.28737152 2.187264 \n",
" [8,] 0.50000513 0.38281670 2.046456 \n",
" [9,] 0.38539925 0.38439873 2.097538 \n",
"[10,] 0.47769925 0.30118373 2.065211 \n",
"[11,] 0.33008265 0.08524210 2.801757 \n",
"[12,] 0.21461323 0.10010659 2.898639 \n",
"[13,] 0.31647232 0.22106037 2.138506 \n",
"[14,] 0.39257878 0.13563879 2.218113 \n",
"[15,] 0.42785832 0.29838815 1.773869 \n",
"[16,] 0.33626917 0.27673194 2.015770 \n",
"[17,] 0.23150334 0.25134313 2.124210 \n",
"[18,] 0.28318098 0.31883442 1.619512 \n",
"[19,] 0.49277416 0.26542807 1.704144 \n",
"[20,] 0.32666242 0.08228798 2.509586 \n",
"[21,] 0.36094195 0.32448956 1.734704 \n",
"[22,] 0.16234989 0.11109276 2.769267 \n",
"[23,] 0.08810676 0.03687293 2.451862 \n",
"[24,] 0.10945706 0.05973989 2.614005 \n",
"[25,] 0.12099043 0.13277411 2.837155 \n",
"[26,] 0.34596598 0.46430779 1.216362 \n",
"[27,] 0.57473058 0.15306607 1.556863 \n",
"[28,] 0.17509693 0.17806187 2.172410 \n",
"[29,] 0.28348839 0.07722328 2.893891 \n",
"[30,] 0.21055694 0.07098392 2.307200 \n",
"[31,] ⋮ ⋮ ⋮ \n",
"[32,] 0.24645583 0.06024136 2.2249587 \n",
"[33,] 0.18335420 0.10497025 1.6681910 \n",
"[34,] 0.20123747 0.13006178 1.8449643 \n",
"[35,] 0.38592297 0.06810595 1.0429411 \n",
"[36,] 0.18231745 0.08984752 1.6870658 \n",
"[37,] 0.25692394 0.02533637 1.5778675 \n",
"[38,] 0.27006146 0.02302947 0.8143823 \n",
"[39,] 0.32576606 0.05706972 1.5263627 \n",
"[40,] 0.25086468 0.12032811 1.7272129 \n",
"[41,] 0.22867385 0.13857295 1.8739834 \n",
"[42,] 0.28717047 0.07271165 2.0817862 \n",
"[43,] 0.21611385 0.05358188 2.0712380 \n",
"[44,] 0.18914349 0.09537538 1.5979702 \n",
"[45,] 0.15749727 0.11909464 1.4298353 \n",
"[46,] 0.09792649 0.06972034 1.6144824 \n",
"[47,] 0.31187093 0.06115783 2.1508012 \n",
"[48,] 0.09934845 0.09858320 0.3779137 \n",
"[49,] 0.20794846 0.06092902 1.8856310 \n",
"[50,] 0.20873253 0.06723198 1.5846126 \n",
"[51,] 0.48920378 0.09987215 1.6971676 \n",
"[52,] 0.10412521 0.05676742 1.3456006 \n",
"[53,] 0.28567082 0.11679351 1.8795674 \n",
"[54,] 0.26654989 0.03894825 1.6732860 \n",
"[55,] 0.26481509 0.11093762 1.5523119 \n",
"[56,] 0.19689615 0.09566502 1.8372293 \n",
"[57,] 0.25275603 0.45522001 0.5400612 \n",
"[58,] 0.49366373 0.15134713 1.0615735 \n",
"[59,] 0.35425636 0.06603511 0.6211305 \n",
"[60,] 0.20443518 0.08414795 1.6830242 \n",
"[61,] 0.28087649 0.05656508 2.0660048 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#行列に変換\n",
"matrix <- data.matrix(data)\n",
"matrix"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<thead><tr><th></th><th scope=col>Country</th><th scope=col>Happiness.Rank</th><th scope=col>Happiness.Score</th><th scope=col>Whisker.high</th><th scope=col>Whisker.low</th><th scope=col>Economy..GDP.per.Capita.</th><th scope=col>Family</th><th scope=col>Health..Life.Expectancy.</th><th scope=col>Freedom</th><th scope=col>Generosity</th><th scope=col>Trust..Government.Corruption.</th><th scope=col>Dystopia.Residual</th></tr></thead>\n",
"<tbody>\n",
"\t<tr><th scope=row>Country</th><td> 1.000000000</td><td>-0.01854919 </td><td> 0.02092084 </td><td> 0.0225182 </td><td> 0.01934013 </td><td> 0.01151335 </td><td> 0.13063181 </td><td> 0.003177494</td><td> 0.07691709 </td><td> 0.13562897 </td><td> 0.07840021 </td><td>-0.11446804 </td></tr>\n",
"\t<tr><th scope=row>Happiness.Rank</th><td>-0.018549193</td><td> 1.00000000 </td><td>-0.99277447 </td><td>-0.9930585 </td><td>-0.99153348 </td><td>-0.81324364 </td><td>-0.73675268 </td><td>-0.780715837</td><td>-0.55160784 </td><td>-0.13261979 </td><td>-0.40584233 </td><td>-0.48450596 </td></tr>\n",
"\t<tr><th scope=row>Happiness.Score</th><td> 0.020920842</td><td>-0.99277447 </td><td> 1.00000000 </td><td> 0.9994974 </td><td> 0.99952041 </td><td> 0.81246875 </td><td> 0.75273667 </td><td> 0.781950625</td><td> 0.57013719 </td><td> 0.15525584 </td><td> 0.42907974 </td><td> 0.47535512 </td></tr>\n",
"\t<tr><th scope=row>Whisker.high</th><td> 0.022518204</td><td>-0.99305849 </td><td> 0.99949742 </td><td> 1.0000000 </td><td> 0.99803641 </td><td> 0.81186758 </td><td> 0.75093422 </td><td> 0.776634497</td><td> 0.56990738 </td><td> 0.15546203 </td><td> 0.42645891 </td><td> 0.47882363 </td></tr>\n",
"\t<tr><th scope=row>Whisker.low</th><td> 0.019340127</td><td>-0.99153348 </td><td> 0.99952041 </td><td> 0.9980364 </td><td> 1.00000000 </td><td> 0.81226748 </td><td> 0.75376686 </td><td> 0.786384855</td><td> 0.56980835 </td><td> 0.15490374 </td><td> 0.43122349 </td><td> 0.47150550 </td></tr>\n",
"\t<tr><th scope=row>Economy..GDP.per.Capita.</th><td> 0.011513352</td><td>-0.81324364 </td><td> 0.81246875 </td><td> 0.8118676 </td><td> 0.81226748 </td><td> 1.00000000 </td><td> 0.68829631 </td><td> 0.843076640</td><td> 0.36987339 </td><td>-0.01901125 </td><td> 0.35094410 </td><td> 0.02422642 </td></tr>\n",
"\t<tr><th scope=row>Family</th><td> 0.130631806</td><td>-0.73675268 </td><td> 0.75273667 </td><td> 0.7509342 </td><td> 0.75376686 </td><td> 0.68829631 </td><td> 1.00000000 </td><td> 0.612080063</td><td> 0.42496576 </td><td> 0.05169263 </td><td> 0.23184139 </td><td> 0.07050576 </td></tr>\n",
"\t<tr><th scope=row>Health..Life.Expectancy.</th><td> 0.003177494</td><td>-0.78071584 </td><td> 0.78195062 </td><td> 0.7766345 </td><td> 0.78638485 </td><td> 0.84307664 </td><td> 0.61208006 </td><td> 1.000000000</td><td> 0.34982679 </td><td> 0.06319149 </td><td> 0.27975198 </td><td> 0.05496328 </td></tr>\n",
"\t<tr><th scope=row>Freedom</th><td> 0.076917090</td><td>-0.55160784 </td><td> 0.57013719 </td><td> 0.5699074 </td><td> 0.56980835 </td><td> 0.36987339 </td><td> 0.42496576 </td><td> 0.349826789</td><td> 1.00000000 </td><td> 0.31608271 </td><td> 0.49918279 </td><td> 0.08192597 </td></tr>\n",
"\t<tr><th scope=row>Generosity</th><td> 0.135628967</td><td>-0.13261979 </td><td> 0.15525584 </td><td> 0.1554620 </td><td> 0.15490374 </td><td>-0.01901125 </td><td> 0.05169263 </td><td> 0.063191491</td><td> 0.31608271 </td><td> 1.00000000 </td><td> 0.29415945 </td><td>-0.11662674 </td></tr>\n",
"\t<tr><th scope=row>Trust..Government.Corruption.</th><td> 0.078400212</td><td>-0.40584233 </td><td> 0.42907974 </td><td> 0.4264589 </td><td> 0.43122349 </td><td> 0.35094410 </td><td> 0.23184139 </td><td> 0.279751975</td><td> 0.49918279 </td><td> 0.29415945 </td><td> 1.00000000 </td><td>-0.02275506 </td></tr>\n",
"\t<tr><th scope=row>Dystopia.Residual</th><td>-0.114468037</td><td>-0.48450596 </td><td> 0.47535512 </td><td> 0.4788236 </td><td> 0.47150550 </td><td> 0.02422642 </td><td> 0.07050576 </td><td> 0.054963282</td><td> 0.08192597 </td><td>-0.11662674 </td><td>-0.02275506 </td><td> 1.00000000 </td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"\\begin{tabular}{r|llllllllllll}\n",
" & Country & Happiness.Rank & Happiness.Score & Whisker.high & Whisker.low & Economy..GDP.per.Capita. & Family & Health..Life.Expectancy. & Freedom & Generosity & Trust..Government.Corruption. & Dystopia.Residual\\\\\n",
"\\hline\n",
"\tCountry & 1.000000000 & -0.01854919 & 0.02092084 & 0.0225182 & 0.01934013 & 0.01151335 & 0.13063181 & 0.003177494 & 0.07691709 & 0.13562897 & 0.07840021 & -0.11446804 \\\\\n",
"\tHappiness.Rank & -0.018549193 & 1.00000000 & -0.99277447 & -0.9930585 & -0.99153348 & -0.81324364 & -0.73675268 & -0.780715837 & -0.55160784 & -0.13261979 & -0.40584233 & -0.48450596 \\\\\n",
"\tHappiness.Score & 0.020920842 & -0.99277447 & 1.00000000 & 0.9994974 & 0.99952041 & 0.81246875 & 0.75273667 & 0.781950625 & 0.57013719 & 0.15525584 & 0.42907974 & 0.47535512 \\\\\n",
"\tWhisker.high & 0.022518204 & -0.99305849 & 0.99949742 & 1.0000000 & 0.99803641 & 0.81186758 & 0.75093422 & 0.776634497 & 0.56990738 & 0.15546203 & 0.42645891 & 0.47882363 \\\\\n",
"\tWhisker.low & 0.019340127 & -0.99153348 & 0.99952041 & 0.9980364 & 1.00000000 & 0.81226748 & 0.75376686 & 0.786384855 & 0.56980835 & 0.15490374 & 0.43122349 & 0.47150550 \\\\\n",
"\tEconomy..GDP.per.Capita. & 0.011513352 & -0.81324364 & 0.81246875 & 0.8118676 & 0.81226748 & 1.00000000 & 0.68829631 & 0.843076640 & 0.36987339 & -0.01901125 & 0.35094410 & 0.02422642 \\\\\n",
"\tFamily & 0.130631806 & -0.73675268 & 0.75273667 & 0.7509342 & 0.75376686 & 0.68829631 & 1.00000000 & 0.612080063 & 0.42496576 & 0.05169263 & 0.23184139 & 0.07050576 \\\\\n",
"\tHealth..Life.Expectancy. & 0.003177494 & -0.78071584 & 0.78195062 & 0.7766345 & 0.78638485 & 0.84307664 & 0.61208006 & 1.000000000 & 0.34982679 & 0.06319149 & 0.27975198 & 0.05496328 \\\\\n",
"\tFreedom & 0.076917090 & -0.55160784 & 0.57013719 & 0.5699074 & 0.56980835 & 0.36987339 & 0.42496576 & 0.349826789 & 1.00000000 & 0.31608271 & 0.49918279 & 0.08192597 \\\\\n",
"\tGenerosity & 0.135628967 & -0.13261979 & 0.15525584 & 0.1554620 & 0.15490374 & -0.01901125 & 0.05169263 & 0.063191491 & 0.31608271 & 1.00000000 & 0.29415945 & -0.11662674 \\\\\n",
"\tTrust..Government.Corruption. & 0.078400212 & -0.40584233 & 0.42907974 & 0.4264589 & 0.43122349 & 0.35094410 & 0.23184139 & 0.279751975 & 0.49918279 & 0.29415945 & 1.00000000 & -0.02275506 \\\\\n",
"\tDystopia.Residual & -0.114468037 & -0.48450596 & 0.47535512 & 0.4788236 & 0.47150550 & 0.02422642 & 0.07050576 & 0.054963282 & 0.08192597 & -0.11662674 & -0.02275506 & 1.00000000 \\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"| <!--/--> | Country | Happiness.Rank | Happiness.Score | Whisker.high | Whisker.low | Economy..GDP.per.Capita. | Family | Health..Life.Expectancy. | Freedom | Generosity | Trust..Government.Corruption. | Dystopia.Residual | \n",
"|---|---|---|---|---|---|---|---|---|---|---|---|\n",
"| Country | 1.000000000 | -0.01854919 | 0.02092084 | 0.0225182 | 0.01934013 | 0.01151335 | 0.13063181 | 0.003177494 | 0.07691709 | 0.13562897 | 0.07840021 | -0.11446804 | \n",
"| Happiness.Rank | -0.018549193 | 1.00000000 | -0.99277447 | -0.9930585 | -0.99153348 | -0.81324364 | -0.73675268 | -0.780715837 | -0.55160784 | -0.13261979 | -0.40584233 | -0.48450596 | \n",
"| Happiness.Score | 0.020920842 | -0.99277447 | 1.00000000 | 0.9994974 | 0.99952041 | 0.81246875 | 0.75273667 | 0.781950625 | 0.57013719 | 0.15525584 | 0.42907974 | 0.47535512 | \n",
"| Whisker.high | 0.022518204 | -0.99305849 | 0.99949742 | 1.0000000 | 0.99803641 | 0.81186758 | 0.75093422 | 0.776634497 | 0.56990738 | 0.15546203 | 0.42645891 | 0.47882363 | \n",
"| Whisker.low | 0.019340127 | -0.99153348 | 0.99952041 | 0.9980364 | 1.00000000 | 0.81226748 | 0.75376686 | 0.786384855 | 0.56980835 | 0.15490374 | 0.43122349 | 0.47150550 | \n",
"| Economy..GDP.per.Capita. | 0.011513352 | -0.81324364 | 0.81246875 | 0.8118676 | 0.81226748 | 1.00000000 | 0.68829631 | 0.843076640 | 0.36987339 | -0.01901125 | 0.35094410 | 0.02422642 | \n",
"| Family | 0.130631806 | -0.73675268 | 0.75273667 | 0.7509342 | 0.75376686 | 0.68829631 | 1.00000000 | 0.612080063 | 0.42496576 | 0.05169263 | 0.23184139 | 0.07050576 | \n",
"| Health..Life.Expectancy. | 0.003177494 | -0.78071584 | 0.78195062 | 0.7766345 | 0.78638485 | 0.84307664 | 0.61208006 | 1.000000000 | 0.34982679 | 0.06319149 | 0.27975198 | 0.05496328 | \n",
"| Freedom | 0.076917090 | -0.55160784 | 0.57013719 | 0.5699074 | 0.56980835 | 0.36987339 | 0.42496576 | 0.349826789 | 1.00000000 | 0.31608271 | 0.49918279 | 0.08192597 | \n",
"| Generosity | 0.135628967 | -0.13261979 | 0.15525584 | 0.1554620 | 0.15490374 | -0.01901125 | 0.05169263 | 0.063191491 | 0.31608271 | 1.00000000 | 0.29415945 | -0.11662674 | \n",
"| Trust..Government.Corruption. | 0.078400212 | -0.40584233 | 0.42907974 | 0.4264589 | 0.43122349 | 0.35094410 | 0.23184139 | 0.279751975 | 0.49918279 | 0.29415945 | 1.00000000 | -0.02275506 | \n",
"| Dystopia.Residual | -0.114468037 | -0.48450596 | 0.47535512 | 0.4788236 | 0.47150550 | 0.02422642 | 0.07050576 | 0.054963282 | 0.08192597 | -0.11662674 | -0.02275506 | 1.00000000 | \n",
"\n",
"\n"
],
"text/plain": [
" Country Happiness.Rank Happiness.Score\n",
"Country 1.000000000 -0.01854919 0.02092084 \n",
"Happiness.Rank -0.018549193 1.00000000 -0.99277447 \n",
"Happiness.Score 0.020920842 -0.99277447 1.00000000 \n",
"Whisker.high 0.022518204 -0.99305849 0.99949742 \n",
"Whisker.low 0.019340127 -0.99153348 0.99952041 \n",
"Economy..GDP.per.Capita. 0.011513352 -0.81324364 0.81246875 \n",
"Family 0.130631806 -0.73675268 0.75273667 \n",
"Health..Life.Expectancy. 0.003177494 -0.78071584 0.78195062 \n",
"Freedom 0.076917090 -0.55160784 0.57013719 \n",
"Generosity 0.135628967 -0.13261979 0.15525584 \n",
"Trust..Government.Corruption. 0.078400212 -0.40584233 0.42907974 \n",
"Dystopia.Residual -0.114468037 -0.48450596 0.47535512 \n",
" Whisker.high Whisker.low Economy..GDP.per.Capita.\n",
"Country 0.0225182 0.01934013 0.01151335 \n",
"Happiness.Rank -0.9930585 -0.99153348 -0.81324364 \n",
"Happiness.Score 0.9994974 0.99952041 0.81246875 \n",
"Whisker.high 1.0000000 0.99803641 0.81186758 \n",
"Whisker.low 0.9980364 1.00000000 0.81226748 \n",
"Economy..GDP.per.Capita. 0.8118676 0.81226748 1.00000000 \n",
"Family 0.7509342 0.75376686 0.68829631 \n",
"Health..Life.Expectancy. 0.7766345 0.78638485 0.84307664 \n",
"Freedom 0.5699074 0.56980835 0.36987339 \n",
"Generosity 0.1554620 0.15490374 -0.01901125 \n",
"Trust..Government.Corruption. 0.4264589 0.43122349 0.35094410 \n",
"Dystopia.Residual 0.4788236 0.47150550 0.02422642 \n",
" Family Health..Life.Expectancy. Freedom \n",
"Country 0.13063181 0.003177494 0.07691709\n",
"Happiness.Rank -0.73675268 -0.780715837 -0.55160784\n",
"Happiness.Score 0.75273667 0.781950625 0.57013719\n",
"Whisker.high 0.75093422 0.776634497 0.56990738\n",
"Whisker.low 0.75376686 0.786384855 0.56980835\n",
"Economy..GDP.per.Capita. 0.68829631 0.843076640 0.36987339\n",
"Family 1.00000000 0.612080063 0.42496576\n",
"Health..Life.Expectancy. 0.61208006 1.000000000 0.34982679\n",
"Freedom 0.42496576 0.349826789 1.00000000\n",
"Generosity 0.05169263 0.063191491 0.31608271\n",
"Trust..Government.Corruption. 0.23184139 0.279751975 0.49918279\n",
"Dystopia.Residual 0.07050576 0.054963282 0.08192597\n",
" Generosity Trust..Government.Corruption.\n",
"Country 0.13562897 0.07840021 \n",
"Happiness.Rank -0.13261979 -0.40584233 \n",
"Happiness.Score 0.15525584 0.42907974 \n",
"Whisker.high 0.15546203 0.42645891 \n",
"Whisker.low 0.15490374 0.43122349 \n",
"Economy..GDP.per.Capita. -0.01901125 0.35094410 \n",
"Family 0.05169263 0.23184139 \n",
"Health..Life.Expectancy. 0.06319149 0.27975198 \n",
"Freedom 0.31608271 0.49918279 \n",
"Generosity 1.00000000 0.29415945 \n",
"Trust..Government.Corruption. 0.29415945 1.00000000 \n",
"Dystopia.Residual -0.11662674 -0.02275506 \n",
" Dystopia.Residual\n",
"Country -0.11446804 \n",
"Happiness.Rank -0.48450596 \n",
"Happiness.Score 0.47535512 \n",
"Whisker.high 0.47882363 \n",
"Whisker.low 0.47150550 \n",
"Economy..GDP.per.Capita. 0.02422642 \n",
"Family 0.07050576 \n",
"Health..Life.Expectancy. 0.05496328 \n",
"Freedom 0.08192597 \n",
"Generosity -0.11662674 \n",
"Trust..Government.Corruption. -0.02275506 \n",
"Dystopia.Residual 1.00000000 "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#相関行列を求める\n",
"Rdata = cor(matrix)\n",
"Rdata"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"eigen() decomposition\n",
"$values\n",
" [1] 6.687138e+00 1.517830e+00 1.160505e+00 9.421809e-01 6.695833e-01\n",
" [6] 5.236735e-01 3.483122e-01 1.382764e-01 1.085409e-02 1.646761e-03\n",
"[11] 7.315121e-08 4.638929e-16\n",
"\n",
"$vectors\n",
" [,1] [,2] [,3] [,4] [,5] [,6]\n",
" [1,] -0.01785717 0.35708383 -0.17992216 0.88411688 0.15279247 -0.12188994\n",
" [2,] 0.38002641 0.09578421 -0.07504912 -0.04919881 0.03562625 0.03885916\n",
" [3,] -0.38294681 -0.07363189 0.08098779 0.04148559 -0.03523942 -0.02774141\n",
" [4,] -0.38251085 -0.07485440 0.08430469 0.04528954 -0.03572760 -0.02571753\n",
" [5,] -0.38300102 -0.07236620 0.07766901 0.03772937 -0.03472833 -0.02969155\n",
" [6,] -0.32945104 -0.03833978 -0.38042272 -0.12834458 0.01748729 -0.17175463\n",
" [7,] -0.30327726 0.00972174 -0.28651427 0.12090245 -0.10002737 0.41022730\n",
" [8,] -0.31734241 -0.03800747 -0.33874913 -0.12436681 -0.16705922 -0.24508620\n",
" [9,] -0.23777249 0.34936309 0.24108133 -0.10912992 0.23910609 0.70098451\n",
"[10,] -0.06582716 0.56402001 0.33631677 -0.05092821 -0.70887816 -0.16973133\n",
"[11,] -0.18600987 0.43158706 0.19231115 -0.25612121 0.61020374 -0.43634152\n",
"[12,] -0.13754463 -0.46648181 0.62651518 0.28993653 0.03758010 -0.11351200\n",
" [,7] [,8] [,9] [,10] [,11]\n",
" [1,] 0.140270955 0.014603705 -0.006198407 0.002701913 -1.272461e-05\n",
" [2,] -0.017218897 -0.076707388 -0.907172047 -0.080196760 -3.496755e-05\n",
" [3,] -0.016386868 0.037462891 -0.181633994 -0.010481113 -3.693886e-01\n",
" [4,] -0.017030129 0.064049957 -0.121262177 -0.722759270 -3.641704e-01\n",
" [5,] -0.015742584 0.011454506 -0.240432941 0.685330035 -3.741275e-01\n",
" [6,] 0.128194307 0.694996584 -0.172497207 0.011130334 4.118976e-01\n",
" [7,] -0.706516364 -0.225328734 -0.061839815 -0.010611062 2.811645e-01\n",
" [8,] 0.440248302 -0.652780886 -0.069588976 -0.031914551 2.320614e-01\n",
" [9,] 0.423165539 0.009113273 -0.046025358 -0.001244817 1.468234e-01\n",
"[10,] -0.076767282 0.078114416 -0.033471196 0.001404187 1.319516e-01\n",
"[11,] -0.291229922 -0.137490824 -0.011235383 -0.008077422 9.949217e-02\n",
"[12,] 0.005129105 -0.057103603 -0.172366100 -0.008326078 4.894160e-01\n",
" [,12]\n",
" [1,] 0.000000e+00\n",
" [2,] 2.950261e-14\n",
" [3,] -8.163443e-01\n",
" [4,] 4.035939e-01\n",
" [5,] 4.131513e-01\n",
" [6,] 3.911654e-12\n",
" [7,] 2.666826e-12\n",
" [8,] 2.200945e-12\n",
" [9,] 1.393078e-12\n",
"[10,] 1.251938e-12\n",
"[11,] 9.430881e-13\n",
"[12,] 4.644649e-12\n"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#相関行列から固有値、固有ベクトルを求める\n",
"Edata = eigen(Rdata)\n",
"Edata"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<ol class=list-inline>\n",
"\t<li><span style=white-space:pre-wrap>'第 1 主成分　 固有値 6.68713793828316 寄与率 0.55726149485693 累積寄与率 0.55726149485693'</span></li>\n",
"\t<li><span style=white-space:pre-wrap>'第 2 主成分　 固有値 1.51782988538692 寄与率 0.126485823782243 累積寄与率 0.683747318639173'</span></li>\n",
"\t<li><span style=white-space:pre-wrap>'第 3 主成分　 固有値 1.1605049390144 寄与率 0.096708744917867 累積寄与率 0.78045606355704'</span></li>\n",
"\t<li><span style=white-space:pre-wrap>'第 4 主成分　 固有値 0.94218092100715 寄与率 0.0785150767505959 累積寄与率 0.858971140307636'</span></li>\n",
"\t<li><span style=white-space:pre-wrap>'第 5 主成分　 固有値 0.669583306743417 寄与率 0.0557986088952848 累積寄与率 0.914769749202921'</span></li>\n",
"\t<li><span style=white-space:pre-wrap>'第 6 主成分　 固有値 0.523673532206329 寄与率 0.0436394610171941 累積寄与率 0.958409210220115'</span></li>\n",
"\t<li><span style=white-space:pre-wrap>'第 7 主成分　 固有値 0.348312199614921 寄与率 0.0290260166345768 累積寄与率 0.987435226854692'</span></li>\n",
"\t<li><span style=white-space:pre-wrap>'第 8 主成分　 固有値 0.138276354854495 寄与率 0.0115230295712079 累積寄与率 0.998958256425899'</span></li>\n",
"\t<li><span style=white-space:pre-wrap>'第 9 主成分　 固有値 0.010854088715783 寄与率 0.000904507392981916 累積寄与率 0.999862763818881'</span></li>\n",
"\t<li><span style=white-space:pre-wrap>'第 10 主成分　 固有値 0.00164676102221162 寄与率 0.000137230085184302 累積寄与率 0.999999993904066'</span></li>\n",
"\t<li><span style=white-space:pre-wrap>'第 11 主成分　 固有値 7.31512102231759e-08 寄与率 6.09593418526467e-09 累積寄与率 1'</span></li>\n",
"</ol>\n"
],
"text/latex": [
"\\begin{enumerate*}\n",
"\\item '第 1 主成分　 固有値 6.68713793828316 寄与率 0.55726149485693 累積寄与率 0.55726149485693'\n",
"\\item '第 2 主成分　 固有値 1.51782988538692 寄与率 0.126485823782243 累積寄与率 0.683747318639173'\n",
"\\item '第 3 主成分　 固有値 1.1605049390144 寄与率 0.096708744917867 累積寄与率 0.78045606355704'\n",
"\\item '第 4 主成分　 固有値 0.94218092100715 寄与率 0.0785150767505959 累積寄与率 0.858971140307636'\n",
"\\item '第 5 主成分　 固有値 0.669583306743417 寄与率 0.0557986088952848 累積寄与率 0.914769749202921'\n",
"\\item '第 6 主成分　 固有値 0.523673532206329 寄与率 0.0436394610171941 累積寄与率 0.958409210220115'\n",
"\\item '第 7 主成分　 固有値 0.348312199614921 寄与率 0.0290260166345768 累積寄与率 0.987435226854692'\n",
"\\item '第 8 主成分　 固有値 0.138276354854495 寄与率 0.0115230295712079 累積寄与率 0.998958256425899'\n",
"\\item '第 9 主成分　 固有値 0.010854088715783 寄与率 0.000904507392981916 累積寄与率 0.999862763818881'\n",
"\\item '第 10 主成分　 固有値 0.00164676102221162 寄与率 0.000137230085184302 累積寄与率 0.999999993904066'\n",
"\\item '第 11 主成分　 固有値 7.31512102231759e-08 寄与率 6.09593418526467e-09 累積寄与率 1'\n",
"\\end{enumerate*}\n"
],
"text/markdown": [
"1. <span style=white-space:pre-wrap>'第 1 主成分　 固有値 6.68713793828316 寄与率 0.55726149485693 累積寄与率 0.55726149485693'</span>\n",
"2. <span style=white-space:pre-wrap>'第 2 主成分　 固有値 1.51782988538692 寄与率 0.126485823782243 累積寄与率 0.683747318639173'</span>\n",
"3. <span style=white-space:pre-wrap>'第 3 主成分　 固有値 1.1605049390144 寄与率 0.096708744917867 累積寄与率 0.78045606355704'</span>\n",
"4. <span style=white-space:pre-wrap>'第 4 主成分　 固有値 0.94218092100715 寄与率 0.0785150767505959 累積寄与率 0.858971140307636'</span>\n",
"5. <span style=white-space:pre-wrap>'第 5 主成分　 固有値 0.669583306743417 寄与率 0.0557986088952848 累積寄与率 0.914769749202921'</span>\n",
"6. <span style=white-space:pre-wrap>'第 6 主成分　 固有値 0.523673532206329 寄与率 0.0436394610171941 累積寄与率 0.958409210220115'</span>\n",
"7. <span style=white-space:pre-wrap>'第 7 主成分　 固有値 0.348312199614921 寄与率 0.0290260166345768 累積寄与率 0.987435226854692'</span>\n",
"8. <span style=white-space:pre-wrap>'第 8 主成分　 固有値 0.138276354854495 寄与率 0.0115230295712079 累積寄与率 0.998958256425899'</span>\n",
"9. <span style=white-space:pre-wrap>'第 9 主成分　 固有値 0.010854088715783 寄与率 0.000904507392981916 累積寄与率 0.999862763818881'</span>\n",
"10. <span style=white-space:pre-wrap>'第 10 主成分　 固有値 0.00164676102221162 寄与率 0.000137230085184302 累積寄与率 0.999999993904066'</span>\n",
"11. <span style=white-space:pre-wrap>'第 11 主成分　 固有値 7.31512102231759e-08 寄与率 6.09593418526467e-09 累積寄与率 1'</span>\n",
"\n",
"\n"
],
"text/plain": [
" [1] \"第 1 主成分　 固有値 6.68713793828316 寄与率 0.55726149485693 累積寄与率 0.55726149485693\" \n",
" [2] \"第 2 主成分　 固有値 1.51782988538692 寄与率 0.126485823782243 累積寄与率 0.683747318639173\" \n",
" [3] \"第 3 主成分　 固有値 1.1605049390144 寄与率 0.096708744917867 累積寄与率 0.78045606355704\" \n",
" [4] \"第 4 主成分　 固有値 0.94218092100715 寄与率 0.0785150767505959 累積寄与率 0.858971140307636\" \n",
" [5] \"第 5 主成分　 固有値 0.669583306743417 寄与率 0.0557986088952848 累積寄与率 0.914769749202921\" \n",
" [6] \"第 6 主成分　 固有値 0.523673532206329 寄与率 0.0436394610171941 累積寄与率 0.958409210220115\" \n",
" [7] \"第 7 主成分　 固有値 0.348312199614921 寄与率 0.0290260166345768 累積寄与率 0.987435226854692\" \n",
" [8] \"第 8 主成分　 固有値 0.138276354854495 寄与率 0.0115230295712079 累積寄与率 0.998958256425899\" \n",
" [9] \"第 9 主成分　 固有値 0.010854088715783 寄与率 0.000904507392981916 累積寄与率 0.999862763818881\" \n",
"[10] \"第 10 主成分　 固有値 0.00164676102221162 寄与率 0.000137230085184302 累積寄与率 0.999999993904066\"\n",
"[11] \"第 11 主成分　 固有値 7.31512102231759e-08 寄与率 6.09593418526467e-09 累積寄与率 1\" "
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 累積寄与率を求める\n",
"contribution = NULL\n",
"accumulate = 0\n",
"i = 0\n",
"for(i in 1:11){\n",
" accumulate = Edata$values[i]/sum(Edata$values)+accumulate\n",
" contribution[i] = paste (\"第\",i,\"主成分　\",\"固有値\", Edata$values[i]\n",
" , \"寄与率 \",Edata$values[i]/sum(Edata$values)\n",
" ,\"累積寄与率 \",accumulate)\n",
"}\n",
"contribution"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAYAAAD958/bAAAEGWlDQ1BrQ0dDb2xvclNwYWNl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\nMGDAgAEDBgwYMGDAgIHpQJL6t9hbjBG7AAAAAElFTkSuQmCC",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot(Edata$vectors[3:11,3:11], xlab=\"first\", ylab=\"second\")"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/html": [
"<table>\n",
"<thead><tr><th scope=col>PC1</th><th scope=col>PC2</th><th scope=col>PC3</th><th scope=col>PC4</th><th scope=col>PC5</th><th scope=col>PC6</th><th scope=col>PC7</th><th scope=col>PC8</th><th scope=col>PC9</th><th scope=col>PC10</th><th scope=col>PC11</th><th scope=col>PC12</th></tr></thead>\n",
"<tbody>\n",
"\t<tr><td>-4.950583 </td><td>-0.9694444 </td><td> 0.77478258 </td><td> 0.2331405 </td><td>-0.5056422419</td><td> 0.33019325 </td><td>-0.15473181 </td><td> 0.226093486 </td><td> 0.169044835 </td><td> 0.013680667 </td><td>-4.097832e-05</td><td>-3.219647e-15</td></tr>\n",
"\t<tr><td>-4.955417 </td><td>-0.7307045 </td><td> 1.32243431 </td><td>-1.2217465 </td><td>-0.8031593393</td><td> 0.47004385 </td><td>-0.72087718 </td><td>-0.146132578 </td><td> 0.137662767 </td><td>-0.005113075 </td><td> 1.983133e-04</td><td> 4.218847e-15</td></tr>\n",
"\t<tr><td>-4.663996 </td><td>-0.3387360 </td><td> 0.96640965 </td><td>-0.2445757 </td><td> 1.2900722995</td><td>-0.43436666 </td><td>-0.08556763 </td><td> 0.100356610 </td><td> 0.176203177 </td><td>-0.064261443 </td><td> 2.061927e-04</td><td> 8.881784e-16</td></tr>\n",
"\t<tr><td>-4.951258 </td><td>-1.0833900 </td><td> 0.51684082 </td><td> 0.6625380 </td><td>-1.2254079928</td><td> 0.66745455 </td><td>-0.07605567 </td><td>-0.126346321 </td><td> 0.188332750 </td><td>-0.014091933 </td><td>-3.052960e-04</td><td> 5.551115e-16</td></tr>\n",
"\t<tr><td>-4.791762 </td><td>-0.1396616 </td><td> 1.12485581 </td><td>-0.9338190 </td><td>-1.2892018371</td><td> 0.34728608 </td><td>-0.55908925 </td><td>-0.308483876 </td><td> 0.169016968 </td><td>-0.009991662 </td><td>-1.342184e-04</td><td> 1.110223e-16</td></tr>\n",
"\t<tr><td>-4.481305 </td><td>-1.1475482 </td><td> 1.09157853 </td><td> 0.1643808 </td><td> 0.3228560207</td><td> 0.64732162 </td><td>-0.02680531 </td><td> 0.159608985 </td><td> 0.142855071 </td><td> 0.025120685 </td><td> 9.352941e-05</td><td> 9.992007e-16</td></tr>\n",
"\t<tr><td>-4.452654 </td><td>-0.6149797 </td><td> 1.13382308 </td><td>-1.3437236 </td><td> 0.3559614130</td><td> 0.21503389 </td><td>-0.26694384 </td><td>-0.031579691 </td><td> 0.092748614 </td><td>-0.004928102 </td><td>-4.019593e-04</td><td> 5.551115e-16</td></tr>\n",
"\t<tr><td>-4.632863 </td><td>-2.0312161 </td><td> 1.03004713 </td><td>-0.1763110 </td><td>-0.1110942375</td><td> 0.71615132 </td><td>-0.55907813 </td><td>-0.209833737 </td><td> 0.080476473 </td><td>-0.005155658 </td><td> 4.358683e-06</td><td>-4.440892e-16</td></tr>\n",
"\t<tr><td>-4.580193 </td><td>-1.7578848 </td><td> 0.64232797 </td><td> 0.4553502 </td><td>-0.8560368932</td><td> 0.83017024 </td><td>-0.17462296 </td><td>-0.116327692 </td><td> 0.105679501 </td><td> 0.004302945 </td><td> 3.458993e-04</td><td> 3.996803e-15</td></tr>\n",
"\t<tr><td>-4.431350 </td><td>-0.8022883 </td><td> 1.11460476 </td><td>-1.8337225 </td><td> 0.5947574356</td><td> 0.25831295 </td><td>-0.46935622 </td><td>-0.066371813 </td><td> 0.113056096 </td><td>-0.015623612 </td><td>-8.589582e-05</td><td> 3.330669e-16</td></tr>\n",
"\t<tr><td>-3.564845 </td><td> 1.3992246 </td><td> 0.94059600 </td><td> 0.4290326 </td><td> 1.1236420355</td><td> 0.51650398 </td><td> 0.15540959 </td><td>-0.006511188 </td><td> 0.165969179 </td><td> 0.005050662 </td><td>-1.346407e-04</td><td> 5.551115e-16</td></tr>\n",
"\t<tr><td>-3.410840 </td><td> 1.6763327 </td><td> 1.48473194 </td><td>-0.1025580 </td><td> 0.2004819547</td><td>-0.69646127 </td><td> 0.25642905 </td><td>-0.370917395 </td><td> 0.051960866 </td><td>-0.021952237 </td><td>-9.491508e-05</td><td> 4.440892e-16</td></tr>\n",
"\t<tr><td>-3.776278 </td><td> 0.2884623 </td><td> 0.61772355 </td><td>-1.5250048 </td><td> 0.2067003246</td><td>-0.09099803 </td><td>-0.15764967 </td><td> 0.027399655 </td><td>-0.010596012 </td><td> 0.014342797 </td><td>-1.900777e-04</td><td> 0.000000e+00</td></tr>\n",
"\t<tr><td>-3.564013 </td><td>-0.5667686 </td><td> 0.12569079 </td><td> 1.4943757 </td><td> 0.6887743835</td><td> 0.36329861 </td><td> 0.34742802 </td><td> 0.459630618 </td><td> 0.042451527 </td><td> 0.015916876 </td><td> 4.291998e-04</td><td> 4.773959e-15</td></tr>\n",
"\t<tr><td>-3.990261 </td><td>-1.3057913 </td><td> 0.22959728 </td><td>-0.8698882 </td><td> 0.1840650619</td><td> 0.29265151 </td><td>-0.49614328 </td><td> 0.059443845 </td><td>-0.025033722 </td><td> 0.013082657 </td><td> 2.647841e-05</td><td>-4.440892e-16</td></tr>\n",
"\t<tr><td>-3.772730 </td><td>-0.4792935 </td><td> 0.43907691 </td><td>-0.9283517 </td><td>-0.1600261471</td><td> 0.23974923 </td><td>-0.27620989 </td><td> 0.016078834 </td><td>-0.004217711 </td><td> 0.027018658 </td><td> 3.232217e-04</td><td> 3.885781e-15</td></tr>\n",
"\t<tr><td>-3.581223 </td><td> 0.4948215 </td><td> 0.36341959 </td><td>-1.4690223 </td><td>-0.4034577548</td><td> 0.05118906 </td><td>-0.26383904 </td><td>-0.127592227 </td><td>-0.023673235 </td><td> 0.009955797 </td><td>-8.453502e-06</td><td> 1.110223e-16</td></tr>\n",
"\t<tr><td>-3.920315 </td><td>-1.1299405 </td><td>-0.48654937 </td><td>-0.7584908 </td><td>-0.8185259503</td><td> 0.35560290 </td><td> 0.02844636 </td><td> 0.278374088 </td><td>-0.022366952 </td><td> 0.026007779 </td><td> 2.155066e-04</td><td> 2.220446e-16</td></tr>\n",
"\t<tr><td>-3.427386 </td><td>-2.0866242 </td><td>-0.10930285 </td><td> 0.8215754 </td><td> 0.4976646380</td><td> 0.77101693 </td><td>-0.23517521 </td><td> 0.045239861 </td><td>-0.143555129 </td><td> 0.027062637 </td><td> 3.341407e-06</td><td>-5.551115e-16</td></tr>\n",
"\t<tr><td>-2.553186 </td><td> 1.3599671 </td><td> 0.74842899 </td><td>-0.4628246 </td><td> 1.2109653421</td><td> 0.48721582 </td><td> 0.14670665 </td><td>-0.133022654 </td><td>-0.114236611 </td><td> 0.001416841 </td><td> 2.265909e-04</td><td> 3.552714e-15</td></tr>\n",
"\t<tr><td>-3.350558 </td><td>-1.9876013 </td><td> 0.03392977 </td><td> 0.5263608 </td><td>-0.8596349151</td><td> 0.71079649 </td><td> 0.42878258 </td><td> 0.583161983 </td><td>-0.117121734 </td><td> 0.038437308 </td><td>-5.019243e-05</td><td> 6.661338e-16</td></tr>\n",
"\t<tr><td>-2.425318 </td><td> 2.0397465 </td><td> 1.11925639 </td><td>-0.3352950 </td><td>-0.0003906852</td><td>-0.32703054 </td><td>-0.48025117 </td><td>-0.098051898 </td><td>-0.100532004 </td><td> 0.003466744 </td><td>-3.511523e-04</td><td> 3.608225e-15</td></tr>\n",
"\t<tr><td>-2.601910 </td><td> 2.1466958 </td><td>-0.01503393 </td><td>-0.1585440 </td><td> 0.0199646858</td><td>-0.77869236 </td><td> 0.30066506 </td><td> 0.022755962 </td><td>-0.066882997 </td><td> 0.021404642 </td><td> 2.077484e-04</td><td>-3.941292e-15</td></tr>\n",
"\t<tr><td>-2.469711 </td><td> 2.3287635 </td><td> 0.64448673 </td><td>-0.6802129 </td><td> 0.0517896742</td><td>-0.86109709 </td><td>-0.04250532 </td><td>-0.144763612 </td><td>-0.077323847 </td><td>-0.002941615 </td><td> 3.860283e-04</td><td> 3.441691e-15</td></tr>\n",
"\t<tr><td>-2.297094 </td><td> 1.6939529 </td><td> 0.84951917 </td><td> 0.8964490 </td><td>-0.5725487403</td><td> 0.45827962 </td><td> 0.36183799 </td><td>-0.157188247 </td><td>-0.051114239 </td><td>-0.004072118 </td><td> 3.496476e-04</td><td> 1.110223e-16</td></tr>\n",
"\t<tr><td>-3.676657 </td><td>-2.6616838 </td><td>-0.87598435 </td><td>-0.6649898 </td><td>-1.3901939591</td><td> 1.50506198 </td><td> 0.01147138 </td><td>-0.156245752 </td><td>-0.128526683 </td><td> 0.010378273 </td><td>-7.778049e-05</td><td>-8.326673e-16</td></tr>\n",
"\t<tr><td>-3.004383 </td><td>-1.8599494 </td><td> 0.08779284 </td><td>-0.2635260 </td><td> 1.6791758032</td><td>-0.21311242 </td><td> 0.10407825 </td><td> 0.012668895 </td><td>-0.135179454 </td><td> 0.024826311 </td><td>-1.480487e-04</td><td> 3.330669e-15</td></tr>\n",
"\t<tr><td>-2.635283 </td><td>-0.2324752 </td><td>-0.03521398 </td><td> 1.4605728 </td><td>-0.9163605285</td><td>-0.31219973 </td><td> 0.39476387 </td><td>-0.176539121 </td><td>-0.128718788 </td><td> 0.002394045 </td><td> 5.244310e-05</td><td> 5.551115e-17</td></tr>\n",
"\t<tr><td>-1.903564 </td><td> 1.2417875 </td><td> 1.98286355 </td><td> 0.3489278 </td><td> 0.4445215157</td><td>-0.58672601 </td><td> 0.13775304 </td><td>-0.049981614 </td><td>-0.102222131 </td><td>-0.013062973 </td><td> 2.314562e-04</td><td>-3.108624e-15</td></tr>\n",
"\t<tr><td>-2.366015 </td><td> 0.5901058 </td><td> 0.17602165 </td><td> 0.9921121 </td><td> 0.0638767580</td><td>-0.62370248 </td><td> 0.54771962 </td><td> 0.048640403 </td><td>-0.067437801 </td><td>-0.009488433 </td><td> 1.066794e-04</td><td> 2.220446e-16</td></tr>\n",
"\t<tr><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
"\t<tr><td>2.938971 </td><td> 0.92626232 </td><td> 1.222256555 </td><td>-0.07778136 </td><td> 0.434640787 </td><td>-0.41400080 </td><td>-1.45469758 </td><td>-0.6886183417</td><td> 0.057668012 </td><td> 2.170780e-02</td><td>-0.0001043923</td><td>-1.998401e-15</td></tr>\n",
"\t<tr><td>2.681246 </td><td>-0.09515574 </td><td>-0.036111264 </td><td> 0.40850728 </td><td>-0.439332280 </td><td>-0.56254167 </td><td>-1.23706130 </td><td>-0.0573138303</td><td> 0.023195737 </td><td> 4.157949e-02</td><td>-0.0001117843</td><td> 2.220446e-15</td></tr>\n",
"\t<tr><td>2.840738 </td><td>-0.28020187 </td><td> 1.014212363 </td><td>-0.19151759 </td><td>-0.889218116 </td><td>-0.64259920 </td><td>-0.24080657 </td><td> 0.7364452940</td><td> 0.081200824 </td><td> 4.745067e-02</td><td>-0.0004347927</td><td> 0.000000e+00</td></tr>\n",
"\t<tr><td>2.211133 </td><td>-1.58346176 </td><td> 0.170938736 </td><td>-1.69171512 </td><td> 0.663356741 </td><td>-1.59293069 </td><td> 0.67379587 </td><td>-0.1168836316</td><td> 0.041019668 </td><td>-1.169828e-02</td><td>-0.0002565637</td><td>-8.881784e-16</td></tr>\n",
"\t<tr><td>2.989781 </td><td> 0.33483074 </td><td>-0.979882356 </td><td> 1.40039065 </td><td> 0.003861678 </td><td> 1.15066610 </td><td>-1.42664558 </td><td>-0.0259144334</td><td> 0.064114044 </td><td>-1.220659e-01</td><td> 0.0002081360</td><td>-3.885781e-15</td></tr>\n",
"\t<tr><td>2.862337 </td><td>-0.10464120 </td><td> 0.247101662 </td><td>-0.57284633 </td><td> 0.298717038 </td><td>-0.69176379 </td><td> 0.46132174 </td><td> 0.3736578019</td><td> 0.104839896 </td><td> 1.832612e-02</td><td> 0.0002435597</td><td>-3.608225e-15</td></tr>\n",
"\t<tr><td>2.437794 </td><td>-0.87778342 </td><td>-2.676645681 </td><td> 1.07368997 </td><td> 0.960343129 </td><td> 0.43789933 </td><td>-0.78766448 </td><td>-0.3251471813</td><td> 0.063406935 </td><td> 4.743853e-03</td><td> 0.0003977731</td><td>-1.776357e-15</td></tr>\n",
"\t<tr><td>2.829624 </td><td>-1.42925847 </td><td> 0.172722781 </td><td> 1.35756801 </td><td> 0.162990632 </td><td>-0.88726517 </td><td>-0.17975539 </td><td>-0.0566089890</td><td> 0.062456696 </td><td>-5.624967e-05</td><td>-0.0003085870</td><td> 3.497203e-15</td></tr>\n",
"\t<tr><td>3.108659 </td><td> 0.03825528 </td><td> 0.759892355 </td><td>-1.00610781 </td><td>-0.056588258 </td><td>-0.33587021 </td><td>-0.83087355 </td><td>-0.2418458937</td><td> 0.033881139 </td><td> 1.635507e-02</td><td>-0.0001384581</td><td>-5.107026e-15</td></tr>\n",
"\t<tr><td>3.094214 </td><td>-0.54727515 </td><td> 0.807948979 </td><td> 0.59554699 </td><td>-0.602525964 </td><td>-0.17036298 </td><td>-0.34433212 </td><td>-0.6868123603</td><td> 0.050648124 </td><td> 1.504403e-02</td><td>-0.0003042787</td><td> 2.386980e-15</td></tr>\n",
"\t<tr><td>3.428521 </td><td>-0.39903388 </td><td> 1.661830255 </td><td> 0.17444914 </td><td>-0.162103806 </td><td>-0.10536039 </td><td> 1.34027843 </td><td>-0.2268501245</td><td> 0.088328404 </td><td> 1.077662e-03</td><td> 0.0002662805</td><td>-1.110223e-16</td></tr>\n",
"\t<tr><td>3.789909 </td><td> 1.07553376 </td><td> 0.927382924 </td><td>-0.37585180 </td><td> 0.204037853 </td><td> 0.15872210 </td><td>-1.12943945 </td><td> 0.4628528198</td><td> 0.067001722 </td><td> 3.824079e-02</td><td>-0.0002817024</td><td>-8.881784e-16</td></tr>\n",
"\t<tr><td>3.304632 </td><td>-0.84529296 </td><td>-0.192965585 </td><td> 1.61329858 </td><td>-0.712052501 </td><td>-0.32620373 </td><td>-0.39633845 </td><td>-0.1435371384</td><td> 0.011228066 </td><td> 1.682621e-02</td><td> 0.0004218383</td><td>-9.992007e-16</td></tr>\n",
"\t<tr><td>3.380165 </td><td>-0.51301132 </td><td>-0.009732762 </td><td>-0.01124718 </td><td>-0.943524842 </td><td>-1.07100805 </td><td>-1.12059862 </td><td> 0.4986354008</td><td>-0.046647719 </td><td>-1.244329e-01</td><td>-0.0003595450</td><td> 3.219647e-15</td></tr>\n",
"\t<tr><td>3.878915 </td><td> 1.64542242 </td><td>-0.651612393 </td><td>-1.07910669 </td><td>-0.113986819 </td><td> 0.62147686 </td><td>-1.86712832 </td><td> 0.9427046137</td><td> 0.023386473 </td><td>-2.182325e-02</td><td> 0.0000719027</td><td>-6.661338e-16</td></tr>\n",
"\t<tr><td>4.220087 </td><td> 1.05779689 </td><td> 1.465851781 </td><td>-1.11486904 </td><td> 0.791435046 </td><td> 1.16630452 </td><td>-0.27919074 </td><td> 0.3121074600</td><td> 0.058700101 </td><td> 5.478931e-02</td><td> 0.0001875880</td><td>-4.662937e-15</td></tr>\n",
"\t<tr><td>2.684672 </td><td>-0.87591530 </td><td>-2.173205491 </td><td>-2.13148020 </td><td>-0.812049482 </td><td>-1.61540627 </td><td>-0.15637789 </td><td> 0.6125438737</td><td> 0.008194088 </td><td> 1.502074e-02</td><td>-0.0005396368</td><td> 2.553513e-15</td></tr>\n",
"\t<tr><td>4.079787 </td><td> 0.37143952 </td><td> 1.376400648 </td><td>-1.28879689 </td><td>-0.337213498 </td><td>-0.24289938 </td><td> 1.15191213 </td><td> 0.3729723443</td><td> 0.004612268 </td><td> 5.145386e-02</td><td> 0.0001605580</td><td>-3.330669e-16</td></tr>\n",
"\t<tr><td>3.893209 </td><td> 0.06528254 </td><td>-0.243984289 </td><td> 0.18194637 </td><td> 0.083656381 </td><td> 0.44370305 </td><td>-0.23108854 </td><td>-0.6336405243</td><td>-0.045658665 </td><td> 4.075549e-02</td><td> 0.0001772163</td><td>-1.776357e-15</td></tr>\n",
"\t<tr><td>4.348117 </td><td>-0.55201982 </td><td> 0.864569849 </td><td>-0.48428664 </td><td> 1.535275274 </td><td> 1.93566564 </td><td>-0.51286939 </td><td> 0.0370098293</td><td>-0.053673183 </td><td>-1.218074e-02</td><td>-0.0001207547</td><td>-8.881784e-16</td></tr>\n",
"\t<tr><td>3.814059 </td><td>-0.37199179 </td><td>-1.209735423 </td><td> 1.39290835 </td><td>-0.776389648 </td><td> 0.13306887 </td><td> 0.15731012 </td><td> 0.0004594135</td><td>-0.011140657 </td><td> 2.639125e-02</td><td>-0.0001099740</td><td> 2.553513e-15</td></tr>\n",
"\t<tr><td>4.352327 </td><td>-0.48333128 </td><td> 0.678082999 </td><td> 1.05935964 </td><td>-0.186116696 </td><td> 1.39624587 </td><td> 0.01021278 </td><td> 0.2934453118</td><td> 0.010838530 </td><td>-4.074823e-03</td><td>-0.0002068552</td><td>-3.330669e-16</td></tr>\n",
"\t<tr><td>4.196615 </td><td>-0.33769783 </td><td> 0.595982018 </td><td> 0.17950745 </td><td> 0.216491032 </td><td>-0.44961539 </td><td>-0.01527229 </td><td>-0.4567856727</td><td>-0.065930221 </td><td>-6.841995e-03</td><td> 0.0001950211</td><td> 2.553513e-15</td></tr>\n",
"\t<tr><td>4.154272 </td><td>-0.58556415 </td><td> 0.712458563 </td><td>-0.63300075 </td><td>-0.217478063 </td><td>-0.18448587 </td><td>-0.08407520 </td><td>-0.1856071079</td><td>-0.063046666 </td><td> 5.254715e-02</td><td> 0.0003999599</td><td>-1.554312e-15</td></tr>\n",
"\t<tr><td>4.333623 </td><td>-0.70716820 </td><td> 0.801137597 </td><td> 1.06714984 </td><td>-0.940132092 </td><td> 0.40484145 </td><td> 1.36072199 </td><td> 0.0277560636</td><td> 0.013677125 </td><td> 3.297287e-02</td><td> 0.0003276009</td><td>-3.885781e-15</td></tr>\n",
"\t<tr><td>3.029566 </td><td>-3.97745889 </td><td>-0.282780775 </td><td>-1.04041113 </td><td>-2.724113726 </td><td> 0.09446811 </td><td>-0.31140157 </td><td>-0.7952247755</td><td>-0.149795839 </td><td> 2.880223e-02</td><td> 0.0002477526</td><td>-2.331468e-15</td></tr>\n",
"\t<tr><td>4.154823 </td><td>-2.09865892 </td><td>-0.547756035 </td><td> 0.18701589 </td><td> 0.980272209 </td><td> 2.72586362 </td><td> 0.86823192 </td><td> 0.3007022058</td><td> 0.007996183 </td><td>-1.030202e-01</td><td>-0.0001588755</td><td> 3.330669e-16</td></tr>\n",
"\t<tr><td>3.842260 </td><td>-2.39876776 </td><td>-1.361048578 </td><td> 0.44401599 </td><td> 0.418898118 </td><td>-0.52978857 </td><td> 0.14962559 </td><td>-0.1834202677</td><td>-0.127594785 </td><td> 1.039513e-02</td><td>-0.0001784620</td><td> 2.120556e-15</td></tr>\n",
"\t<tr><td>5.666136 </td><td> 0.67068978 </td><td> 0.554218985 </td><td>-0.91781435 </td><td> 0.038346996 </td><td> 0.99719857 </td><td>-0.58412695 </td><td>-0.3000748050</td><td>-0.435248609 </td><td>-2.941318e-02</td><td> 0.0003269744</td><td>-1.935936e-15</td></tr>\n",
"\t<tr><td>6.376031 </td><td> 0.25021921 </td><td> 2.349246458 </td><td>-0.92168377 </td><td>-0.102395753 </td><td> 0.79529194 </td><td> 1.34607096 </td><td> 0.4374796395</td><td>-0.515698266 </td><td> 1.195648e-02</td><td>-0.0002237445</td><td>-4.539463e-15</td></tr>\n",
"</tbody>\n",
"</table>\n"
],
"text/latex": [
"\\begin{tabular}{llllllllllll}\n",
" PC1 & PC2 & PC3 & PC4 & PC5 & PC6 & PC7 & PC8 & PC9 & PC10 & PC11 & PC12\\\\\n",
"\\hline\n",
"\t -4.950583 & -0.9694444 & 0.77478258 & 0.2331405 & -0.5056422419 & 0.33019325 & -0.15473181 & 0.226093486 & 0.169044835 & 0.013680667 & -4.097832e-05 & -3.219647e-15\\\\\n",
"\t -4.955417 & -0.7307045 & 1.32243431 & -1.2217465 & -0.8031593393 & 0.47004385 & -0.72087718 & -0.146132578 & 0.137662767 & -0.005113075 & 1.983133e-04 & 4.218847e-15\\\\\n",
"\t -4.663996 & -0.3387360 & 0.96640965 & -0.2445757 & 1.2900722995 & -0.43436666 & -0.08556763 & 0.100356610 & 0.176203177 & -0.064261443 & 2.061927e-04 & 8.881784e-16\\\\\n",
"\t -4.951258 & -1.0833900 & 0.51684082 & 0.6625380 & -1.2254079928 & 0.66745455 & -0.07605567 & -0.126346321 & 0.188332750 & -0.014091933 & -3.052960e-04 & 5.551115e-16\\\\\n",
"\t -4.791762 & -0.1396616 & 1.12485581 & -0.9338190 & -1.2892018371 & 0.34728608 & -0.55908925 & -0.308483876 & 0.169016968 & -0.009991662 & -1.342184e-04 & 1.110223e-16\\\\\n",
"\t -4.481305 & -1.1475482 & 1.09157853 & 0.1643808 & 0.3228560207 & 0.64732162 & -0.02680531 & 0.159608985 & 0.142855071 & 0.025120685 & 9.352941e-05 & 9.992007e-16\\\\\n",
"\t -4.452654 & -0.6149797 & 1.13382308 & -1.3437236 & 0.3559614130 & 0.21503389 & -0.26694384 & -0.031579691 & 0.092748614 & -0.004928102 & -4.019593e-04 & 5.551115e-16\\\\\n",
"\t -4.632863 & -2.0312161 & 1.03004713 & -0.1763110 & -0.1110942375 & 0.71615132 & -0.55907813 & -0.209833737 & 0.080476473 & -0.005155658 & 4.358683e-06 & -4.440892e-16\\\\\n",
"\t -4.580193 & -1.7578848 & 0.64232797 & 0.4553502 & -0.8560368932 & 0.83017024 & -0.17462296 & -0.116327692 & 0.105679501 & 0.004302945 & 3.458993e-04 & 3.996803e-15\\\\\n",
"\t -4.431350 & -0.8022883 & 1.11460476 & -1.8337225 & 0.5947574356 & 0.25831295 & -0.46935622 & -0.066371813 & 0.113056096 & -0.015623612 & -8.589582e-05 & 3.330669e-16\\\\\n",
"\t -3.564845 & 1.3992246 & 0.94059600 & 0.4290326 & 1.1236420355 & 0.51650398 & 0.15540959 & -0.006511188 & 0.165969179 & 0.005050662 & -1.346407e-04 & 5.551115e-16\\\\\n",
"\t -3.410840 & 1.6763327 & 1.48473194 & -0.1025580 & 0.2004819547 & -0.69646127 & 0.25642905 & -0.370917395 & 0.051960866 & -0.021952237 & -9.491508e-05 & 4.440892e-16\\\\\n",
"\t -3.776278 & 0.2884623 & 0.61772355 & -1.5250048 & 0.2067003246 & -0.09099803 & -0.15764967 & 0.027399655 & -0.010596012 & 0.014342797 & -1.900777e-04 & 0.000000e+00\\\\\n",
"\t -3.564013 & -0.5667686 & 0.12569079 & 1.4943757 & 0.6887743835 & 0.36329861 & 0.34742802 & 0.459630618 & 0.042451527 & 0.015916876 & 4.291998e-04 & 4.773959e-15\\\\\n",
"\t -3.990261 & -1.3057913 & 0.22959728 & -0.8698882 & 0.1840650619 & 0.29265151 & -0.49614328 & 0.059443845 & -0.025033722 & 0.013082657 & 2.647841e-05 & -4.440892e-16\\\\\n",
"\t -3.772730 & -0.4792935 & 0.43907691 & -0.9283517 & -0.1600261471 & 0.23974923 & -0.27620989 & 0.016078834 & -0.004217711 & 0.027018658 & 3.232217e-04 & 3.885781e-15\\\\\n",
"\t -3.581223 & 0.4948215 & 0.36341959 & -1.4690223 & -0.4034577548 & 0.05118906 & -0.26383904 & -0.127592227 & -0.023673235 & 0.009955797 & -8.453502e-06 & 1.110223e-16\\\\\n",
"\t -3.920315 & -1.1299405 & -0.48654937 & -0.7584908 & -0.8185259503 & 0.35560290 & 0.02844636 & 0.278374088 & -0.022366952 & 0.026007779 & 2.155066e-04 & 2.220446e-16\\\\\n",
"\t -3.427386 & -2.0866242 & -0.10930285 & 0.8215754 & 0.4976646380 & 0.77101693 & -0.23517521 & 0.045239861 & -0.143555129 & 0.027062637 & 3.341407e-06 & -5.551115e-16\\\\\n",
"\t -2.553186 & 1.3599671 & 0.74842899 & -0.4628246 & 1.2109653421 & 0.48721582 & 0.14670665 & -0.133022654 & -0.114236611 & 0.001416841 & 2.265909e-04 & 3.552714e-15\\\\\n",
"\t -3.350558 & -1.9876013 & 0.03392977 & 0.5263608 & -0.8596349151 & 0.71079649 & 0.42878258 & 0.583161983 & -0.117121734 & 0.038437308 & -5.019243e-05 & 6.661338e-16\\\\\n",
"\t -2.425318 & 2.0397465 & 1.11925639 & -0.3352950 & -0.0003906852 & -0.32703054 & -0.48025117 & -0.098051898 & -0.100532004 & 0.003466744 & -3.511523e-04 & 3.608225e-15\\\\\n",
"\t -2.601910 & 2.1466958 & -0.01503393 & -0.1585440 & 0.0199646858 & -0.77869236 & 0.30066506 & 0.022755962 & -0.066882997 & 0.021404642 & 2.077484e-04 & -3.941292e-15\\\\\n",
"\t -2.469711 & 2.3287635 & 0.64448673 & -0.6802129 & 0.0517896742 & -0.86109709 & -0.04250532 & -0.144763612 & -0.077323847 & -0.002941615 & 3.860283e-04 & 3.441691e-15\\\\\n",
"\t -2.297094 & 1.6939529 & 0.84951917 & 0.8964490 & -0.5725487403 & 0.45827962 & 0.36183799 & -0.157188247 & -0.051114239 & -0.004072118 & 3.496476e-04 & 1.110223e-16\\\\\n",
"\t -3.676657 & -2.6616838 & -0.87598435 & -0.6649898 & -1.3901939591 & 1.50506198 & 0.01147138 & -0.156245752 & -0.128526683 & 0.010378273 & -7.778049e-05 & -8.326673e-16\\\\\n",
"\t -3.004383 & -1.8599494 & 0.08779284 & -0.2635260 & 1.6791758032 & -0.21311242 & 0.10407825 & 0.012668895 & -0.135179454 & 0.024826311 & -1.480487e-04 & 3.330669e-15\\\\\n",
"\t -2.635283 & -0.2324752 & -0.03521398 & 1.4605728 & -0.9163605285 & -0.31219973 & 0.39476387 & -0.176539121 & -0.128718788 & 0.002394045 & 5.244310e-05 & 5.551115e-17\\\\\n",
"\t -1.903564 & 1.2417875 & 1.98286355 & 0.3489278 & 0.4445215157 & -0.58672601 & 0.13775304 & -0.049981614 & -0.102222131 & -0.013062973 & 2.314562e-04 & -3.108624e-15\\\\\n",
"\t -2.366015 & 0.5901058 & 0.17602165 & 0.9921121 & 0.0638767580 & -0.62370248 & 0.54771962 & 0.048640403 & -0.067437801 & -0.009488433 & 1.066794e-04 & 2.220446e-16\\\\\n",
"\t ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n",
"\t 2.938971 & 0.92626232 & 1.222256555 & -0.07778136 & 0.434640787 & -0.41400080 & -1.45469758 & -0.6886183417 & 0.057668012 & 2.170780e-02 & -0.0001043923 & -1.998401e-15\\\\\n",
"\t 2.681246 & -0.09515574 & -0.036111264 & 0.40850728 & -0.439332280 & -0.56254167 & -1.23706130 & -0.0573138303 & 0.023195737 & 4.157949e-02 & -0.0001117843 & 2.220446e-15\\\\\n",
"\t 2.840738 & -0.28020187 & 1.014212363 & -0.19151759 & -0.889218116 & -0.64259920 & -0.24080657 & 0.7364452940 & 0.081200824 & 4.745067e-02 & -0.0004347927 & 0.000000e+00\\\\\n",
"\t 2.211133 & -1.58346176 & 0.170938736 & -1.69171512 & 0.663356741 & -1.59293069 & 0.67379587 & -0.1168836316 & 0.041019668 & -1.169828e-02 & -0.0002565637 & -8.881784e-16\\\\\n",
"\t 2.989781 & 0.33483074 & -0.979882356 & 1.40039065 & 0.003861678 & 1.15066610 & -1.42664558 & -0.0259144334 & 0.064114044 & -1.220659e-01 & 0.0002081360 & -3.885781e-15\\\\\n",
"\t 2.862337 & -0.10464120 & 0.247101662 & -0.57284633 & 0.298717038 & -0.69176379 & 0.46132174 & 0.3736578019 & 0.104839896 & 1.832612e-02 & 0.0002435597 & -3.608225e-15\\\\\n",
"\t 2.437794 & -0.87778342 & -2.676645681 & 1.07368997 & 0.960343129 & 0.43789933 & -0.78766448 & -0.3251471813 & 0.063406935 & 4.743853e-03 & 0.0003977731 & -1.776357e-15\\\\\n",
"\t 2.829624 & -1.42925847 & 0.172722781 & 1.35756801 & 0.162990632 & -0.88726517 & -0.17975539 & -0.0566089890 & 0.062456696 & -5.624967e-05 & -0.0003085870 & 3.497203e-15\\\\\n",
"\t 3.108659 & 0.03825528 & 0.759892355 & -1.00610781 & -0.056588258 & -0.33587021 & -0.83087355 & -0.2418458937 & 0.033881139 & 1.635507e-02 & -0.0001384581 & -5.107026e-15\\\\\n",
"\t 3.094214 & -0.54727515 & 0.807948979 & 0.59554699 & -0.602525964 & -0.17036298 & -0.34433212 & -0.6868123603 & 0.050648124 & 1.504403e-02 & -0.0003042787 & 2.386980e-15\\\\\n",
"\t 3.428521 & -0.39903388 & 1.661830255 & 0.17444914 & -0.162103806 & -0.10536039 & 1.34027843 & -0.2268501245 & 0.088328404 & 1.077662e-03 & 0.0002662805 & -1.110223e-16\\\\\n",
"\t 3.789909 & 1.07553376 & 0.927382924 & -0.37585180 & 0.204037853 & 0.15872210 & -1.12943945 & 0.4628528198 & 0.067001722 & 3.824079e-02 & -0.0002817024 & -8.881784e-16\\\\\n",
"\t 3.304632 & -0.84529296 & -0.192965585 & 1.61329858 & -0.712052501 & -0.32620373 & -0.39633845 & -0.1435371384 & 0.011228066 & 1.682621e-02 & 0.0004218383 & -9.992007e-16\\\\\n",
"\t 3.380165 & -0.51301132 & -0.009732762 & -0.01124718 & -0.943524842 & -1.07100805 & -1.12059862 & 0.4986354008 & -0.046647719 & -1.244329e-01 & -0.0003595450 & 3.219647e-15\\\\\n",
"\t 3.878915 & 1.64542242 & -0.651612393 & -1.07910669 & -0.113986819 & 0.62147686 & -1.86712832 & 0.9427046137 & 0.023386473 & -2.182325e-02 & 0.0000719027 & -6.661338e-16\\\\\n",
"\t 4.220087 & 1.05779689 & 1.465851781 & -1.11486904 & 0.791435046 & 1.16630452 & -0.27919074 & 0.3121074600 & 0.058700101 & 5.478931e-02 & 0.0001875880 & -4.662937e-15\\\\\n",
"\t 2.684672 & -0.87591530 & -2.173205491 & -2.13148020 & -0.812049482 & -1.61540627 & -0.15637789 & 0.6125438737 & 0.008194088 & 1.502074e-02 & -0.0005396368 & 2.553513e-15\\\\\n",
"\t 4.079787 & 0.37143952 & 1.376400648 & -1.28879689 & -0.337213498 & -0.24289938 & 1.15191213 & 0.3729723443 & 0.004612268 & 5.145386e-02 & 0.0001605580 & -3.330669e-16\\\\\n",
"\t 3.893209 & 0.06528254 & -0.243984289 & 0.18194637 & 0.083656381 & 0.44370305 & -0.23108854 & -0.6336405243 & -0.045658665 & 4.075549e-02 & 0.0001772163 & -1.776357e-15\\\\\n",
"\t 4.348117 & -0.55201982 & 0.864569849 & -0.48428664 & 1.535275274 & 1.93566564 & -0.51286939 & 0.0370098293 & -0.053673183 & -1.218074e-02 & -0.0001207547 & -8.881784e-16\\\\\n",
"\t 3.814059 & -0.37199179 & -1.209735423 & 1.39290835 & -0.776389648 & 0.13306887 & 0.15731012 & 0.0004594135 & -0.011140657 & 2.639125e-02 & -0.0001099740 & 2.553513e-15\\\\\n",
"\t 4.352327 & -0.48333128 & 0.678082999 & 1.05935964 & -0.186116696 & 1.39624587 & 0.01021278 & 0.2934453118 & 0.010838530 & -4.074823e-03 & -0.0002068552 & -3.330669e-16\\\\\n",
"\t 4.196615 & -0.33769783 & 0.595982018 & 0.17950745 & 0.216491032 & -0.44961539 & -0.01527229 & -0.4567856727 & -0.065930221 & -6.841995e-03 & 0.0001950211 & 2.553513e-15\\\\\n",
"\t 4.154272 & -0.58556415 & 0.712458563 & -0.63300075 & -0.217478063 & -0.18448587 & -0.08407520 & -0.1856071079 & -0.063046666 & 5.254715e-02 & 0.0003999599 & -1.554312e-15\\\\\n",
"\t 4.333623 & -0.70716820 & 0.801137597 & 1.06714984 & -0.940132092 & 0.40484145 & 1.36072199 & 0.0277560636 & 0.013677125 & 3.297287e-02 & 0.0003276009 & -3.885781e-15\\\\\n",
"\t 3.029566 & -3.97745889 & -0.282780775 & -1.04041113 & -2.724113726 & 0.09446811 & -0.31140157 & -0.7952247755 & -0.149795839 & 2.880223e-02 & 0.0002477526 & -2.331468e-15\\\\\n",
"\t 4.154823 & -2.09865892 & -0.547756035 & 0.18701589 & 0.980272209 & 2.72586362 & 0.86823192 & 0.3007022058 & 0.007996183 & -1.030202e-01 & -0.0001588755 & 3.330669e-16\\\\\n",
"\t 3.842260 & -2.39876776 & -1.361048578 & 0.44401599 & 0.418898118 & -0.52978857 & 0.14962559 & -0.1834202677 & -0.127594785 & 1.039513e-02 & -0.0001784620 & 2.120556e-15\\\\\n",
"\t 5.666136 & 0.67068978 & 0.554218985 & -0.91781435 & 0.038346996 & 0.99719857 & -0.58412695 & -0.3000748050 & -0.435248609 & -2.941318e-02 & 0.0003269744 & -1.935936e-15\\\\\n",
"\t 6.376031 & 0.25021921 & 2.349246458 & -0.92168377 & -0.102395753 & 0.79529194 & 1.34607096 & 0.4374796395 & -0.515698266 & 1.195648e-02 & -0.0002237445 & -4.539463e-15\\\\\n",
"\\end{tabular}\n"
],
"text/markdown": [
"\n",
"PC1 | PC2 | PC3 | PC4 | PC5 | PC6 | PC7 | PC8 | PC9 | PC10 | PC11 | PC12 | \n",
"|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
"| -4.950583 | -0.9694444 | 0.77478258 | 0.2331405 | -0.5056422419 | 0.33019325 | -0.15473181 | 0.226093486 | 0.169044835 | 0.013680667 | -4.097832e-05 | -3.219647e-15 | \n",
"| -4.955417 | -0.7307045 | 1.32243431 | -1.2217465 | -0.8031593393 | 0.47004385 | -0.72087718 | -0.146132578 | 0.137662767 | -0.005113075 | 1.983133e-04 | 4.218847e-15 | \n",
"| -4.663996 | -0.3387360 | 0.96640965 | -0.2445757 | 1.2900722995 | -0.43436666 | -0.08556763 | 0.100356610 | 0.176203177 | -0.064261443 | 2.061927e-04 | 8.881784e-16 | \n",
"| -4.951258 | -1.0833900 | 0.51684082 | 0.6625380 | -1.2254079928 | 0.66745455 | -0.07605567 | -0.126346321 | 0.188332750 | -0.014091933 | -3.052960e-04 | 5.551115e-16 | \n",
"| -4.791762 | -0.1396616 | 1.12485581 | -0.9338190 | -1.2892018371 | 0.34728608 | -0.55908925 | -0.308483876 | 0.169016968 | -0.009991662 | -1.342184e-04 | 1.110223e-16 | \n",
"| -4.481305 | -1.1475482 | 1.09157853 | 0.1643808 | 0.3228560207 | 0.64732162 | -0.02680531 | 0.159608985 | 0.142855071 | 0.025120685 | 9.352941e-05 | 9.992007e-16 | \n",
"| -4.452654 | -0.6149797 | 1.13382308 | -1.3437236 | 0.3559614130 | 0.21503389 | -0.26694384 | -0.031579691 | 0.092748614 | -0.004928102 | -4.019593e-04 | 5.551115e-16 | \n",
"| -4.632863 | -2.0312161 | 1.03004713 | -0.1763110 | -0.1110942375 | 0.71615132 | -0.55907813 | -0.209833737 | 0.080476473 | -0.005155658 | 4.358683e-06 | -4.440892e-16 | \n",
"| -4.580193 | -1.7578848 | 0.64232797 | 0.4553502 | -0.8560368932 | 0.83017024 | -0.17462296 | -0.116327692 | 0.105679501 | 0.004302945 | 3.458993e-04 | 3.996803e-15 | \n",
"| -4.431350 | -0.8022883 | 1.11460476 | -1.8337225 | 0.5947574356 | 0.25831295 | -0.46935622 | -0.066371813 | 0.113056096 | -0.015623612 | -8.589582e-05 | 3.330669e-16 | \n",
"| -3.564845 | 1.3992246 | 0.94059600 | 0.4290326 | 1.1236420355 | 0.51650398 | 0.15540959 | -0.006511188 | 0.165969179 | 0.005050662 | -1.346407e-04 | 5.551115e-16 | \n",
"| -3.410840 | 1.6763327 | 1.48473194 | -0.1025580 | 0.2004819547 | -0.69646127 | 0.25642905 | -0.370917395 | 0.051960866 | -0.021952237 | -9.491508e-05 | 4.440892e-16 | \n",
"| -3.776278 | 0.2884623 | 0.61772355 | -1.5250048 | 0.2067003246 | -0.09099803 | -0.15764967 | 0.027399655 | -0.010596012 | 0.014342797 | -1.900777e-04 | 0.000000e+00 | \n",
"| -3.564013 | -0.5667686 | 0.12569079 | 1.4943757 | 0.6887743835 | 0.36329861 | 0.34742802 | 0.459630618 | 0.042451527 | 0.015916876 | 4.291998e-04 | 4.773959e-15 | \n",
"| -3.990261 | -1.3057913 | 0.22959728 | -0.8698882 | 0.1840650619 | 0.29265151 | -0.49614328 | 0.059443845 | -0.025033722 | 0.013082657 | 2.647841e-05 | -4.440892e-16 | \n",
"| -3.772730 | -0.4792935 | 0.43907691 | -0.9283517 | -0.1600261471 | 0.23974923 | -0.27620989 | 0.016078834 | -0.004217711 | 0.027018658 | 3.232217e-04 | 3.885781e-15 | \n",
"| -3.581223 | 0.4948215 | 0.36341959 | -1.4690223 | -0.4034577548 | 0.05118906 | -0.26383904 | -0.127592227 | -0.023673235 | 0.009955797 | -8.453502e-06 | 1.110223e-16 | \n",
"| -3.920315 | -1.1299405 | -0.48654937 | -0.7584908 | -0.8185259503 | 0.35560290 | 0.02844636 | 0.278374088 | -0.022366952 | 0.026007779 | 2.155066e-04 | 2.220446e-16 | \n",
"| -3.427386 | -2.0866242 | -0.10930285 | 0.8215754 | 0.4976646380 | 0.77101693 | -0.23517521 | 0.045239861 | -0.143555129 | 0.027062637 | 3.341407e-06 | -5.551115e-16 | \n",
"| -2.553186 | 1.3599671 | 0.74842899 | -0.4628246 | 1.2109653421 | 0.48721582 | 0.14670665 | -0.133022654 | -0.114236611 | 0.001416841 | 2.265909e-04 | 3.552714e-15 | \n",
"| -3.350558 | -1.9876013 | 0.03392977 | 0.5263608 | -0.8596349151 | 0.71079649 | 0.42878258 | 0.583161983 | -0.117121734 | 0.038437308 | -5.019243e-05 | 6.661338e-16 | \n",
"| -2.425318 | 2.0397465 | 1.11925639 | -0.3352950 | -0.0003906852 | -0.32703054 | -0.48025117 | -0.098051898 | -0.100532004 | 0.003466744 | -3.511523e-04 | 3.608225e-15 | \n",
"| -2.601910 | 2.1466958 | -0.01503393 | -0.1585440 | 0.0199646858 | -0.77869236 | 0.30066506 | 0.022755962 | -0.066882997 | 0.021404642 | 2.077484e-04 | -3.941292e-15 | \n",
"| -2.469711 | 2.3287635 | 0.64448673 | -0.6802129 | 0.0517896742 | -0.86109709 | -0.04250532 | -0.144763612 | -0.077323847 | -0.002941615 | 3.860283e-04 | 3.441691e-15 | \n",
"| -2.297094 | 1.6939529 | 0.84951917 | 0.8964490 | -0.5725487403 | 0.45827962 | 0.36183799 | -0.157188247 | -0.051114239 | -0.004072118 | 3.496476e-04 | 1.110223e-16 | \n",
"| -3.676657 | -2.6616838 | -0.87598435 | -0.6649898 | -1.3901939591 | 1.50506198 | 0.01147138 | -0.156245752 | -0.128526683 | 0.010378273 | -7.778049e-05 | -8.326673e-16 | \n",
"| -3.004383 | -1.8599494 | 0.08779284 | -0.2635260 | 1.6791758032 | -0.21311242 | 0.10407825 | 0.012668895 | -0.135179454 | 0.024826311 | -1.480487e-04 | 3.330669e-15 | \n",
"| -2.635283 | -0.2324752 | -0.03521398 | 1.4605728 | -0.9163605285 | -0.31219973 | 0.39476387 | -0.176539121 | -0.128718788 | 0.002394045 | 5.244310e-05 | 5.551115e-17 | \n",
"| -1.903564 | 1.2417875 | 1.98286355 | 0.3489278 | 0.4445215157 | -0.58672601 | 0.13775304 | -0.049981614 | -0.102222131 | -0.013062973 | 2.314562e-04 | -3.108624e-15 | \n",
"| -2.366015 | 0.5901058 | 0.17602165 | 0.9921121 | 0.0638767580 | -0.62370248 | 0.54771962 | 0.048640403 | -0.067437801 | -0.009488433 | 1.066794e-04 | 2.220446e-16 | \n",
"| ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | ⋮ | \n",
"| 2.938971 | 0.92626232 | 1.222256555 | -0.07778136 | 0.434640787 | -0.41400080 | -1.45469758 | -0.6886183417 | 0.057668012 | 2.170780e-02 | -0.0001043923 | -1.998401e-15 | \n",
"| 2.681246 | -0.09515574 | -0.036111264 | 0.40850728 | -0.439332280 | -0.56254167 | -1.23706130 | -0.0573138303 | 0.023195737 | 4.157949e-02 | -0.0001117843 | 2.220446e-15 | \n",
"| 2.840738 | -0.28020187 | 1.014212363 | -0.19151759 | -0.889218116 | -0.64259920 | -0.24080657 | 0.7364452940 | 0.081200824 | 4.745067e-02 | -0.0004347927 | 0.000000e+00 | \n",
"| 2.211133 | -1.58346176 | 0.170938736 | -1.69171512 | 0.663356741 | -1.59293069 | 0.67379587 | -0.1168836316 | 0.041019668 | -1.169828e-02 | -0.0002565637 | -8.881784e-16 | \n",
"| 2.989781 | 0.33483074 | -0.979882356 | 1.40039065 | 0.003861678 | 1.15066610 | -1.42664558 | -0.0259144334 | 0.064114044 | -1.220659e-01 | 0.0002081360 | -3.885781e-15 | \n",
"| 2.862337 | -0.10464120 | 0.247101662 | -0.57284633 | 0.298717038 | -0.69176379 | 0.46132174 | 0.3736578019 | 0.104839896 | 1.832612e-02 | 0.0002435597 | -3.608225e-15 | \n",
"| 2.437794 | -0.87778342 | -2.676645681 | 1.07368997 | 0.960343129 | 0.43789933 | -0.78766448 | -0.3251471813 | 0.063406935 | 4.743853e-03 | 0.0003977731 | -1.776357e-15 | \n",
"| 2.829624 | -1.42925847 | 0.172722781 | 1.35756801 | 0.162990632 | -0.88726517 | -0.17975539 | -0.0566089890 | 0.062456696 | -5.624967e-05 | -0.0003085870 | 3.497203e-15 | \n",
"| 3.108659 | 0.03825528 | 0.759892355 | -1.00610781 | -0.056588258 | -0.33587021 | -0.83087355 | -0.2418458937 | 0.033881139 | 1.635507e-02 | -0.0001384581 | -5.107026e-15 | \n",
"| 3.094214 | -0.54727515 | 0.807948979 | 0.59554699 | -0.602525964 | -0.17036298 | -0.34433212 | -0.6868123603 | 0.050648124 | 1.504403e-02 | -0.0003042787 | 2.386980e-15 | \n",
"| 3.428521 | -0.39903388 | 1.661830255 | 0.17444914 | -0.162103806 | -0.10536039 | 1.34027843 | -0.2268501245 | 0.088328404 | 1.077662e-03 | 0.0002662805 | -1.110223e-16 | \n",
"| 3.789909 | 1.07553376 | 0.927382924 | -0.37585180 | 0.204037853 | 0.15872210 | -1.12943945 | 0.4628528198 | 0.067001722 | 3.824079e-02 | -0.0002817024 | -8.881784e-16 | \n",
"| 3.304632 | -0.84529296 | -0.192965585 | 1.61329858 | -0.712052501 | -0.32620373 | -0.39633845 | -0.1435371384 | 0.011228066 | 1.682621e-02 | 0.0004218383 | -9.992007e-16 | \n",
"| 3.380165 | -0.51301132 | -0.009732762 | -0.01124718 | -0.943524842 | -1.07100805 | -1.12059862 | 0.4986354008 | -0.046647719 | -1.244329e-01 | -0.0003595450 | 3.219647e-15 | \n",
"| 3.878915 | 1.64542242 | -0.651612393 | -1.07910669 | -0.113986819 | 0.62147686 | -1.86712832 | 0.9427046137 | 0.023386473 | -2.182325e-02 | 0.0000719027 | -6.661338e-16 | \n",
"| 4.220087 | 1.05779689 | 1.465851781 | -1.11486904 | 0.791435046 | 1.16630452 | -0.27919074 | 0.3121074600 | 0.058700101 | 5.478931e-02 | 0.0001875880 | -4.662937e-15 | \n",
"| 2.684672 | -0.87591530 | -2.173205491 | -2.13148020 | -0.812049482 | -1.61540627 | -0.15637789 | 0.6125438737 | 0.008194088 | 1.502074e-02 | -0.0005396368 | 2.553513e-15 | \n",
"| 4.079787 | 0.37143952 | 1.376400648 | -1.28879689 | -0.337213498 | -0.24289938 | 1.15191213 | 0.3729723443 | 0.004612268 | 5.145386e-02 | 0.0001605580 | -3.330669e-16 | \n",
"| 3.893209 | 0.06528254 | -0.243984289 | 0.18194637 | 0.083656381 | 0.44370305 | -0.23108854 | -0.6336405243 | -0.045658665 | 4.075549e-02 | 0.0001772163 | -1.776357e-15 | \n",
"| 4.348117 | -0.55201982 | 0.864569849 | -0.48428664 | 1.535275274 | 1.93566564 | -0.51286939 | 0.0370098293 | -0.053673183 | -1.218074e-02 | -0.0001207547 | -8.881784e-16 | \n",
"| 3.814059 | -0.37199179 | -1.209735423 | 1.39290835 | -0.776389648 | 0.13306887 | 0.15731012 | 0.0004594135 | -0.011140657 | 2.639125e-02 | -0.0001099740 | 2.553513e-15 | \n",
"| 4.352327 | -0.48333128 | 0.678082999 | 1.05935964 | -0.186116696 | 1.39624587 | 0.01021278 | 0.2934453118 | 0.010838530 | -4.074823e-03 | -0.0002068552 | -3.330669e-16 | \n",
"| 4.196615 | -0.33769783 | 0.595982018 | 0.17950745 | 0.216491032 | -0.44961539 | -0.01527229 | -0.4567856727 | -0.065930221 | -6.841995e-03 | 0.0001950211 | 2.553513e-15 | \n",
"| 4.154272 | -0.58556415 | 0.712458563 | -0.63300075 | -0.217478063 | -0.18448587 | -0.08407520 | -0.1856071079 | -0.063046666 | 5.254715e-02 | 0.0003999599 | -1.554312e-15 | \n",
"| 4.333623 | -0.70716820 | 0.801137597 | 1.06714984 | -0.940132092 | 0.40484145 | 1.36072199 | 0.0277560636 | 0.013677125 | 3.297287e-02 | 0.0003276009 | -3.885781e-15 | \n",
"| 3.029566 | -3.97745889 | -0.282780775 | -1.04041113 | -2.724113726 | 0.09446811 | -0.31140157 | -0.7952247755 | -0.149795839 | 2.880223e-02 | 0.0002477526 | -2.331468e-15 | \n",
"| 4.154823 | -2.09865892 | -0.547756035 | 0.18701589 | 0.980272209 | 2.72586362 | 0.86823192 | 0.3007022058 | 0.007996183 | -1.030202e-01 | -0.0001588755 | 3.330669e-16 | \n",
"| 3.842260 | -2.39876776 | -1.361048578 | 0.44401599 | 0.418898118 | -0.52978857 | 0.14962559 | -0.1834202677 | -0.127594785 | 1.039513e-02 | -0.0001784620 | 2.120556e-15 | \n",
"| 5.666136 | 0.67068978 | 0.554218985 | -0.91781435 | 0.038346996 | 0.99719857 | -0.58412695 | -0.3000748050 | -0.435248609 | -2.941318e-02 | 0.0003269744 | -1.935936e-15 | \n",
"| 6.376031 | 0.25021921 | 2.349246458 | -0.92168377 | -0.102395753 | 0.79529194 | 1.34607096 | 0.4374796395 | -0.515698266 | 1.195648e-02 | -0.0002237445 | -4.539463e-15 | \n",
"\n",
"\n"
],
"text/plain": [
" PC1 PC2 PC3 PC4 PC5 PC6 \n",
" [1,] -4.950583 -0.9694444 0.77478258 0.2331405 -0.5056422419 0.33019325\n",
" [2,] -4.955417 -0.7307045 1.32243431 -1.2217465 -0.8031593393 0.47004385\n",
" [3,] -4.663996 -0.3387360 0.96640965 -0.2445757 1.2900722995 -0.43436666\n",
" [4,] -4.951258 -1.0833900 0.51684082 0.6625380 -1.2254079928 0.66745455\n",
" [5,] -4.791762 -0.1396616 1.12485581 -0.9338190 -1.2892018371 0.34728608\n",
" [6,] -4.481305 -1.1475482 1.09157853 0.1643808 0.3228560207 0.64732162\n",
" [7,] -4.452654 -0.6149797 1.13382308 -1.3437236 0.3559614130 0.21503389\n",
" [8,] -4.632863 -2.0312161 1.03004713 -0.1763110 -0.1110942375 0.71615132\n",
" [9,] -4.580193 -1.7578848 0.64232797 0.4553502 -0.8560368932 0.83017024\n",
"[10,] -4.431350 -0.8022883 1.11460476 -1.8337225 0.5947574356 0.25831295\n",
"[11,] -3.564845 1.3992246 0.94059600 0.4290326 1.1236420355 0.51650398\n",
"[12,] -3.410840 1.6763327 1.48473194 -0.1025580 0.2004819547 -0.69646127\n",
"[13,] -3.776278 0.2884623 0.61772355 -1.5250048 0.2067003246 -0.09099803\n",
"[14,] -3.564013 -0.5667686 0.12569079 1.4943757 0.6887743835 0.36329861\n",
"[15,] -3.990261 -1.3057913 0.22959728 -0.8698882 0.1840650619 0.29265151\n",
"[16,] -3.772730 -0.4792935 0.43907691 -0.9283517 -0.1600261471 0.23974923\n",
"[17,] -3.581223 0.4948215 0.36341959 -1.4690223 -0.4034577548 0.05118906\n",
"[18,] -3.920315 -1.1299405 -0.48654937 -0.7584908 -0.8185259503 0.35560290\n",
"[19,] -3.427386 -2.0866242 -0.10930285 0.8215754 0.4976646380 0.77101693\n",
"[20,] -2.553186 1.3599671 0.74842899 -0.4628246 1.2109653421 0.48721582\n",
"[21,] -3.350558 -1.9876013 0.03392977 0.5263608 -0.8596349151 0.71079649\n",
"[22,] -2.425318 2.0397465 1.11925639 -0.3352950 -0.0003906852 -0.32703054\n",
"[23,] -2.601910 2.1466958 -0.01503393 -0.1585440 0.0199646858 -0.77869236\n",
"[24,] -2.469711 2.3287635 0.64448673 -0.6802129 0.0517896742 -0.86109709\n",
"[25,] -2.297094 1.6939529 0.84951917 0.8964490 -0.5725487403 0.45827962\n",
"[26,] -3.676657 -2.6616838 -0.87598435 -0.6649898 -1.3901939591 1.50506198\n",
"[27,] -3.004383 -1.8599494 0.08779284 -0.2635260 1.6791758032 -0.21311242\n",
"[28,] -2.635283 -0.2324752 -0.03521398 1.4605728 -0.9163605285 -0.31219973\n",
"[29,] -1.903564 1.2417875 1.98286355 0.3489278 0.4445215157 -0.58672601\n",
"[30,] -2.366015 0.5901058 0.17602165 0.9921121 0.0638767580 -0.62370248\n",
"[31,] ⋮ ⋮ ⋮ ⋮ ⋮ ⋮ \n",
"[32,] 2.938971 0.92626232 1.222256555 -0.07778136 0.434640787 -0.41400080\n",
"[33,] 2.681246 -0.09515574 -0.036111264 0.40850728 -0.439332280 -0.56254167\n",
"[34,] 2.840738 -0.28020187 1.014212363 -0.19151759 -0.889218116 -0.64259920\n",
"[35,] 2.211133 -1.58346176 0.170938736 -1.69171512 0.663356741 -1.59293069\n",
"[36,] 2.989781 0.33483074 -0.979882356 1.40039065 0.003861678 1.15066610\n",
"[37,] 2.862337 -0.10464120 0.247101662 -0.57284633 0.298717038 -0.69176379\n",
"[38,] 2.437794 -0.87778342 -2.676645681 1.07368997 0.960343129 0.43789933\n",
"[39,] 2.829624 -1.42925847 0.172722781 1.35756801 0.162990632 -0.88726517\n",
"[40,] 3.108659 0.03825528 0.759892355 -1.00610781 -0.056588258 -0.33587021\n",
"[41,] 3.094214 -0.54727515 0.807948979 0.59554699 -0.602525964 -0.17036298\n",
"[42,] 3.428521 -0.39903388 1.661830255 0.17444914 -0.162103806 -0.10536039\n",
"[43,] 3.789909 1.07553376 0.927382924 -0.37585180 0.204037853 0.15872210\n",
"[44,] 3.304632 -0.84529296 -0.192965585 1.61329858 -0.712052501 -0.32620373\n",
"[45,] 3.380165 -0.51301132 -0.009732762 -0.01124718 -0.943524842 -1.07100805\n",
"[46,] 3.878915 1.64542242 -0.651612393 -1.07910669 -0.113986819 0.62147686\n",
"[47,] 4.220087 1.05779689 1.465851781 -1.11486904 0.791435046 1.16630452\n",
"[48,] 2.684672 -0.87591530 -2.173205491 -2.13148020 -0.812049482 -1.61540627\n",
"[49,] 4.079787 0.37143952 1.376400648 -1.28879689 -0.337213498 -0.24289938\n",
"[50,] 3.893209 0.06528254 -0.243984289 0.18194637 0.083656381 0.44370305\n",
"[51,] 4.348117 -0.55201982 0.864569849 -0.48428664 1.535275274 1.93566564\n",
"[52,] 3.814059 -0.37199179 -1.209735423 1.39290835 -0.776389648 0.13306887\n",
"[53,] 4.352327 -0.48333128 0.678082999 1.05935964 -0.186116696 1.39624587\n",
"[54,] 4.196615 -0.33769783 0.595982018 0.17950745 0.216491032 -0.44961539\n",
"[55,] 4.154272 -0.58556415 0.712458563 -0.63300075 -0.217478063 -0.18448587\n",
"[56,] 4.333623 -0.70716820 0.801137597 1.06714984 -0.940132092 0.40484145\n",
"[57,] 3.029566 -3.97745889 -0.282780775 -1.04041113 -2.724113726 0.09446811\n",
"[58,] 4.154823 -2.09865892 -0.547756035 0.18701589 0.980272209 2.72586362\n",
"[59,] 3.842260 -2.39876776 -1.361048578 0.44401599 0.418898118 -0.52978857\n",
"[60,] 5.666136 0.67068978 0.554218985 -0.91781435 0.038346996 0.99719857\n",
"[61,] 6.376031 0.25021921 2.349246458 -0.92168377 -0.102395753 0.79529194\n",
" PC7 PC8 PC9 PC10 PC11 \n",
" [1,] -0.15473181 0.226093486 0.169044835 0.013680667 -4.097832e-05\n",
" [2,] -0.72087718 -0.146132578 0.137662767 -0.005113075 1.983133e-04\n",
" [3,] -0.08556763 0.100356610 0.176203177 -0.064261443 2.061927e-04\n",
" [4,] -0.07605567 -0.126346321 0.188332750 -0.014091933 -3.052960e-04\n",
" [5,] -0.55908925 -0.308483876 0.169016968 -0.009991662 -1.342184e-04\n",
" [6,] -0.02680531 0.159608985 0.142855071 0.025120685 9.352941e-05\n",
" [7,] -0.26694384 -0.031579691 0.092748614 -0.004928102 -4.019593e-04\n",
" [8,] -0.55907813 -0.209833737 0.080476473 -0.005155658 4.358683e-06\n",
" [9,] -0.17462296 -0.116327692 0.105679501 0.004302945 3.458993e-04\n",
"[10,] -0.46935622 -0.066371813 0.113056096 -0.015623612 -8.589582e-05\n",
"[11,] 0.15540959 -0.006511188 0.165969179 0.005050662 -1.346407e-04\n",
"[12,] 0.25642905 -0.370917395 0.051960866 -0.021952237 -9.491508e-05\n",
"[13,] -0.15764967 0.027399655 -0.010596012 0.014342797 -1.900777e-04\n",
"[14,] 0.34742802 0.459630618 0.042451527 0.015916876 4.291998e-04\n",
"[15,] -0.49614328 0.059443845 -0.025033722 0.013082657 2.647841e-05\n",
"[16,] -0.27620989 0.016078834 -0.004217711 0.027018658 3.232217e-04\n",
"[17,] -0.26383904 -0.127592227 -0.023673235 0.009955797 -8.453502e-06\n",
"[18,] 0.02844636 0.278374088 -0.022366952 0.026007779 2.155066e-04\n",
"[19,] -0.23517521 0.045239861 -0.143555129 0.027062637 3.341407e-06\n",
"[20,] 0.14670665 -0.133022654 -0.114236611 0.001416841 2.265909e-04\n",
"[21,] 0.42878258 0.583161983 -0.117121734 0.038437308 -5.019243e-05\n",
"[22,] -0.48025117 -0.098051898 -0.100532004 0.003466744 -3.511523e-04\n",
"[23,] 0.30066506 0.022755962 -0.066882997 0.021404642 2.077484e-04\n",
"[24,] -0.04250532 -0.144763612 -0.077323847 -0.002941615 3.860283e-04\n",
"[25,] 0.36183799 -0.157188247 -0.051114239 -0.004072118 3.496476e-04\n",
"[26,] 0.01147138 -0.156245752 -0.128526683 0.010378273 -7.778049e-05\n",
"[27,] 0.10407825 0.012668895 -0.135179454 0.024826311 -1.480487e-04\n",
"[28,] 0.39476387 -0.176539121 -0.128718788 0.002394045 5.244310e-05\n",
"[29,] 0.13775304 -0.049981614 -0.102222131 -0.013062973 2.314562e-04\n",
"[30,] 0.54771962 0.048640403 -0.067437801 -0.009488433 1.066794e-04\n",
"[31,] ⋮ ⋮ ⋮ ⋮ ⋮ \n",
"[32,] -1.45469758 -0.6886183417 0.057668012 2.170780e-02 -0.0001043923\n",
"[33,] -1.23706130 -0.0573138303 0.023195737 4.157949e-02 -0.0001117843\n",
"[34,] -0.24080657 0.7364452940 0.081200824 4.745067e-02 -0.0004347927\n",
"[35,] 0.67379587 -0.1168836316 0.041019668 -1.169828e-02 -0.0002565637\n",
"[36,] -1.42664558 -0.0259144334 0.064114044 -1.220659e-01 0.0002081360\n",
"[37,] 0.46132174 0.3736578019 0.104839896 1.832612e-02 0.0002435597\n",
"[38,] -0.78766448 -0.3251471813 0.063406935 4.743853e-03 0.0003977731\n",
"[39,] -0.17975539 -0.0566089890 0.062456696 -5.624967e-05 -0.0003085870\n",
"[40,] -0.83087355 -0.2418458937 0.033881139 1.635507e-02 -0.0001384581\n",
"[41,] -0.34433212 -0.6868123603 0.050648124 1.504403e-02 -0.0003042787\n",
"[42,] 1.34027843 -0.2268501245 0.088328404 1.077662e-03 0.0002662805\n",
"[43,] -1.12943945 0.4628528198 0.067001722 3.824079e-02 -0.0002817024\n",
"[44,] -0.39633845 -0.1435371384 0.011228066 1.682621e-02 0.0004218383\n",
"[45,] -1.12059862 0.4986354008 -0.046647719 -1.244329e-01 -0.0003595450\n",
"[46,] -1.86712832 0.9427046137 0.023386473 -2.182325e-02 0.0000719027\n",
"[47,] -0.27919074 0.3121074600 0.058700101 5.478931e-02 0.0001875880\n",
"[48,] -0.15637789 0.6125438737 0.008194088 1.502074e-02 -0.0005396368\n",
"[49,] 1.15191213 0.3729723443 0.004612268 5.145386e-02 0.0001605580\n",
"[50,] -0.23108854 -0.6336405243 -0.045658665 4.075549e-02 0.0001772163\n",
"[51,] -0.51286939 0.0370098293 -0.053673183 -1.218074e-02 -0.0001207547\n",
"[52,] 0.15731012 0.0004594135 -0.011140657 2.639125e-02 -0.0001099740\n",
"[53,] 0.01021278 0.2934453118 0.010838530 -4.074823e-03 -0.0002068552\n",
"[54,] -0.01527229 -0.4567856727 -0.065930221 -6.841995e-03 0.0001950211\n",
"[55,] -0.08407520 -0.1856071079 -0.063046666 5.254715e-02 0.0003999599\n",
"[56,] 1.36072199 0.0277560636 0.013677125 3.297287e-02 0.0003276009\n",
"[57,] -0.31140157 -0.7952247755 -0.149795839 2.880223e-02 0.0002477526\n",
"[58,] 0.86823192 0.3007022058 0.007996183 -1.030202e-01 -0.0001588755\n",
"[59,] 0.14962559 -0.1834202677 -0.127594785 1.039513e-02 -0.0001784620\n",
"[60,] -0.58412695 -0.3000748050 -0.435248609 -2.941318e-02 0.0003269744\n",
"[61,] 1.34607096 0.4374796395 -0.515698266 1.195648e-02 -0.0002237445\n",
" PC12 \n",
" [1,] -3.219647e-15\n",
" [2,] 4.218847e-15\n",
" [3,] 8.881784e-16\n",
" [4,] 5.551115e-16\n",
" [5,] 1.110223e-16\n",
" [6,] 9.992007e-16\n",
" [7,] 5.551115e-16\n",
" [8,] -4.440892e-16\n",
" [9,] 3.996803e-15\n",
"[10,] 3.330669e-16\n",
"[11,] 5.551115e-16\n",
"[12,] 4.440892e-16\n",
"[13,] 0.000000e+00\n",
"[14,] 4.773959e-15\n",
"[15,] -4.440892e-16\n",
"[16,] 3.885781e-15\n",
"[17,] 1.110223e-16\n",
"[18,] 2.220446e-16\n",
"[19,] -5.551115e-16\n",
"[20,] 3.552714e-15\n",
"[21,] 6.661338e-16\n",
"[22,] 3.608225e-15\n",
"[23,] -3.941292e-15\n",
"[24,] 3.441691e-15\n",
"[25,] 1.110223e-16\n",
"[26,] -8.326673e-16\n",
"[27,] 3.330669e-15\n",
"[28,] 5.551115e-17\n",
"[29,] -3.108624e-15\n",
"[30,] 2.220446e-16\n",
"[31,] ⋮ \n",
"[32,] -1.998401e-15\n",
"[33,] 2.220446e-15\n",
"[34,] 0.000000e+00\n",
"[35,] -8.881784e-16\n",
"[36,] -3.885781e-15\n",
"[37,] -3.608225e-15\n",
"[38,] -1.776357e-15\n",
"[39,] 3.497203e-15\n",
"[40,] -5.107026e-15\n",
"[41,] 2.386980e-15\n",
"[42,] -1.110223e-16\n",
"[43,] -8.881784e-16\n",
"[44,] -9.992007e-16\n",
"[45,] 3.219647e-15\n",
"[46,] -6.661338e-16\n",
"[47,] -4.662937e-15\n",
"[48,] 2.553513e-15\n",
"[49,] -3.330669e-16\n",
"[50,] -1.776357e-15\n",
"[51,] -8.881784e-16\n",
"[52,] 2.553513e-15\n",
"[53,] -3.330669e-16\n",
"[54,] 2.553513e-15\n",
"[55,] -1.554312e-15\n",
"[56,] -3.885781e-15\n",
"[57,] -2.331468e-15\n",
"[58,] 3.330669e-16\n",
"[59,] 2.120556e-15\n",
"[60,] -1.935936e-15\n",
"[61,] -4.539463e-15"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 主成分分析\n",
"result = prcomp(matrix, scale=TRUE)\n",
"# 主成分得点を表示\n",
"result$x"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAYAAAD958/bAAAEGWlDQ1BrQ0dDb2xvclNwYWNl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",
"text/plain": [
"plot without title"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"biplot(result)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "R",
"language": "R",
"name": "ir"
},
"language_info": {
"codemirror_mode": "r",
"file_extension": ".r",
"mimetype": "text/x-r-source",
"name": "R",
"pygments_lexer": "r",
"version": "3.4.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment