{"id":2162,"date":"2020-04-08T02:55:54","date_gmt":"2020-04-07T17:55:54","guid":{"rendered":"http:\/\/141.164.34.82\/?p=2162"},"modified":"2020-04-08T07:50:40","modified_gmt":"2020-04-07T22:50:40","slug":"lm-rf-%ea%b4%9c%ec%b0%ae%ec%9d%80-%ed%98%bc%ec%a2%85","status":"publish","type":"post","link":"http:\/\/ds.sumeun.org\/?p=2162","title":{"rendered":"lm + rf : \uad1c\ucc2e\uc740 \ud63c\uc885"},"content":{"rendered":"<h2>\ub79c\ub364\ud3ec\ub808\uc2a4\ud2b8\uc758 \ud55c\uacc4<\/h2>\n<p>\ubd80\uc2a4\ud305\uc758 \uacbd\uc6b0\ub3c4 \ub9c8\ucc2c\uac00\uc9c0\uc9c0\ub9cc, \uc758\uc0ac\uacb0\uc815\ub098\ubb34\ub97c \uae30\ubc18\uc73c\ub85c \ud55c \ub79c\ub364\ud3ec\ub808\uc2a4\ud2b8\ub294 \ubc18\uc751\uace1\uc120(response curve) \ub610\ub294 \ubc18\uc751\uace1\uba74(response surface)\uac00 \uc218\ud3c9\uc120, \uc218\ud3c9\uba74\uc77c \uc218 \ubc16\uc5d0 \uc5c6\ub2e4. \ubb3c\ub860 \uba40\ub9ac\uc11c \ubcf4\uba74 \uace1\uc120\uc73c\ub85c \ubcfc \uc218\ub3c4 \uc788\uaca0\uc9c0\ub9cc, \uc544\uc8fc \uc790\uc138\ud788 \ub4e4\uc5b4\uac00\ubcf4\uba74 \uc791\uc740 \uc218\ud3c9\uc120 \uad6c\uac04\uc758 \ubaa8\uc74c\uc774\ub2e4.<\/p>\n<p>\uc774\ub294 <a href=\"http:\/\/141.164.34.82\/?p=2123\">\ud68c\uadc0: \ub0b4\uc0bd\uacfc \uc678\uc0bd<\/a>\uc5d0\uc11c\ub3c4 \uc124\uba85\ud588\ub4ef\uc774 <strong>\uc678\uc0bd<\/strong>\uc5d0\uc11c\ub294 \uc5c4\uccad\ub09c \ud398\ub110\ud2f0\ub85c \uc791\uc6a9\ud560 \uc218\ubc16\uc5d0 \uc5c6\ub2e4. \ub2e4\uc2dc \ub9d0\ud574 \uae30\uc6b8\uae30\uac00 0\uc774 \uc544\ub2cc \uc9c1\uc120\uc744 \ub79c\ub364\ud3ec\ub808\uc2a4\ud2b8\ub85c \ud559\uc2b5\ud560 \uc218\ub3c4 \uc788\uaca0\uc9c0\ub9cc, \uc120\ud615\ud68c\uadc0\ub97c \uc0ac\uc6a9\ud55c\ub2e4\uba74 10\uac1c \ub0b4\uc678\uc758 \ub370\uc774\ud130\ub85c \ucda9\ubd84\ud788 \ud559\uc2b5\ud560 \uc218 \uc788\ub294 \ubaa8\ud615\uc744 1000\uac1c \uc774\uc0c1\uc758 \ub370\uc774\ud130\ub97c \uc368\ub3c4 \uc798 \ud559\uc2b5\ud558\uc9c0 \ubabb\ud560 \uc218 \uc788\ub294 \uac83\uc774\ub2e4. (\uc608. <a href=\"http:\/\/141.164.34.82\/?p=1979\">\ud53c\ucc98 \uc5d4\uc9c0\ub2c8\uc5b4\ub9c1 2<\/a>)<\/p>\n<p>\uc774\ub860\uc801\uc73c\ub85c \ub4b7\ubc1b\uce68\ub41c \uc120\ud615 \ud68c\uadc0\uc758 \ub180\ub77c\uc6b4 <strong>\uc678\uc0bd<\/strong> \ub2a5\ub825\uacfc \ub79c\ub364\ud3ec\ub808\uc2a4\ud2b8\uc758 \uc548\uc815\uc801\uc778 <strong>\ub0b4\uc0bd<\/strong>\ub2a5\ub825\uc744 \ud569\uce60 \uc21c \uc5c6\uc744\uae4c?<\/p>\n<h3>\ubaa8\ud615<\/h3>\n<p>\ub370\uc774\ud130 \uc0dd\uc131 \ubaa8\ud615\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\n<p>\\[y = x_1 + \\sin(x_2) + \\cos(x_3 + \\pi) + y_0(x_1, x_2, x_3) + e, \\ \\ e \\sim \\mathcal{N}(0,0.5^2)\\]<\/p>\n<pre><code class=\"r\">library(randomForest)\nlibrary(dplyr)\nlibrary(tidyr)\nlibrary(forcats)\nlibrary(ggplot2)\n\nx1 = rnorm(1000)\nx2 = runif(1000, -3, 3)\nx3 = 6*(rbeta(1000, 2, 1)-1\/2)\n#e = runif(1000, -1, 1)\ne = rnorm(1000, 0, 0.5)\n\ndat = data.frame(x1, x2, x3)\ndat$y0 = with(dat, ifelse(x2 &lt; -0.5, 1,\n               ifelse(x1 &gt; 0.5 &amp; x3 &lt; -0.5, -2,\n                      ifelse(x1 &gt; 1 &amp; x2 &gt; 1.1 &amp; (x3 &gt; 1 &amp; x3 &lt;1.4), 0.5, 0))))\n\ndat$y = with(dat, 1*x1 + sin(x2) + cos(x3+pi) + dat$y0 + e)\n<\/code><\/pre>\n<p>\uadf8\ub798\ud504\ub97c \uadf8\ub824\ubcf4\uba74 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\n<pre><code class=\"r\">pairs(dat %&gt;% select(x1, x2, x3, y))\n<\/code><\/pre>\n<p><img src=\"data:image\/png;base64,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\" alt=\"plot of chunk unnamed-chunk-2\"\/><\/p>\n<h2>\uc120\ud615 \ud68c\uadc0 + \ub79c\ub364 \ud3ec\ub808\uc2a4\ud2b8<\/h2>\n<h3>\ub69c\ub837\ud55c \uad00\uacc4 \ub610\ub294 \uc774\ub860\uc801 \uad00\uacc4<\/h3>\n<p>\uc704\uc758 \uadf8\ub798\ud504\ub97c \ubcf4\uba74 \\(y\\) \uc640 \\(x_1\\) \uc758 \uc120\ud615\uc801 \uad00\uacc4\ub97c \ub69c\ub837\uc774 \uad00\ucc30\ud560 \uc218 \uc788\ub2e4. \uc190\uc27d\uac8c \uc0dd\uac01\ud560 \uc218 \uc788\ub294 \ubaa8\ud615\uc740 \ub2e4\uc74c\uacfc \uac19\uc740 \uc120\ud615 \ubaa8\ud615\uc774\ub2e4.<\/p>\n<p>\\[y = \\beta_0 + \\beta_1 x_1 + e\\]<\/p>\n<pre><code class=\"r\">summary(lm(y ~ x1, dat))\n<\/code><\/pre>\n<pre>## \n## Call:\n## lm(formula = y ~ x1, data = dat)\n## \n## Residuals:\n##     Min      1Q  Median      3Q     Max \n## -3.5220 -0.6975  0.0033  0.6982  3.0868 \n## \n## Coefficients:\n##             Estimate Std. Error t value Pr(&gt;|t|)    \n## (Intercept)  0.29561    0.03193   9.258   &lt;2e-16 ***\n## x1           0.92066    0.03177  28.979   &lt;2e-16 ***\n## ---\n## Signif. codes:  0 &#39;***&#39; 0.001 &#39;**&#39; 0.01 &#39;*&#39; 0.05 &#39;.&#39; 0.1 &#39; &#39; 1\n## \n## Residual standard error: 1.009 on 998 degrees of freedom\n## Multiple R-squared:  0.457,  Adjusted R-squared:  0.4564 \n## F-statistic: 839.8 on 1 and 998 DF,  p-value: &lt; 2.2e-16\n<\/pre>\n<p>\uc774\uc81c \ubcf8\uaca9\uc801\uc73c\ub85c ML\uc744 \ud558\uae30 \uc804\uc5d0, \ubaa8\ud615 \uc131\ub2a5\uc744 \ud3c9\uac00\ud558\ub294 \ubc29\ubc95\uc744 CV(<strong>C<\/strong>ross <strong>V<\/strong>alidation)\ub85c \ud558\uaca0\ub2e4(<a href=\"http:\/\/141.164.34.82\/?p=2156\">\ucc38\uace0<\/a>). <\/p>\n<pre><code class=\"r\">createfolds = function(N, k) {\n  isamp &lt;- sample(N)\n  split(isamp, cut(1:N,\n                   breaks=N*seq(0, 1, length.out=k+1),\n                   include.lowest=TRUE))\n}\n\nfolds &lt;- createfolds(1000,5)\n<\/code><\/pre>\n<h2>\uc2e4\ub840<\/h2>\n<p>\uc774\uc81c \uccab \ubc88\uc9f8 \ud6c8\ub828-\uac80\uc99d\uc14b\uc5d0 \ub300\ud574 \uae30\uacc4\ud559\uc2b5\uc744 \ud574\ubcf4\uc790. \ud3c9\uac00\ub294 MAE(<strong>M<\/strong>ean <strong>A<\/strong>bsolute <strong>E<\/strong>rror)\ub97c \uc0ac\uc6a9\ud558\uaca0\ub2e4. <\/p>\n<h3>1. \uc624\uc9c1 \ub79c\ub364\ud3ec\ub808\uc2a4\ud2b8<\/h3>\n<pre><code class=\"r\">Xtrain = dat[-folds[[1]], ] %&gt;% select(x1:x3) %&gt;% as.matrix\nytrain = dat[-folds[[1]],] %&gt;% pull(y)\n\nXtest = dat[folds[[1]], ] %&gt;% select(x1:x3) %&gt;% as.matrix\nytest = dat[folds[[1]],] %&gt;% pull(y)\n\nfitRF &lt;- randomForest(x=Xtrain, y=ytrain)\n\nypred &lt;- predict(fitRF, newdata=Xtest)\ncaret::MAE(ypred, ytest)\n<\/code><\/pre>\n<pre>## [1] 0.4937447\n<\/pre>\n<h3>2. \uc120\ud615\ud68c\uadc0 + \ub79c\ub364\ud3ec\ub808\uc2a4\ud2b8<\/h3>\n<p>\uc55e\uc11c \uc598\uae30\ud588\ub4ef\uc774 \ub79c\ub364\ud3ec\ub808\uc2a4\ud2b8\ub294 \uc120\ud615\uc801 \uad00\uacc4\uc5d0 \ub454\uac10\ud558\ub2e4. \uc774\uc81c \ub69c\ub837\uc774 \ub098\ud0c0\ub09c \uc120\ud615 \uad00\uacc4\ub97c \uc120\ud615 \ud68c\uadc0\ub97c \uc0ac\uc6a9\ud558\uc5ec \ubaa8\ub378\ub9c1\ud558\uace0, \ub098\uba38\uc9c0 \uc794\ucc28\ub97c \ub79c\ub364\ud3ec\ub808\uc2a4\ud2b8\ub85c \uc608\uce21\ud574\ubcf4\uc790. \uad6c\uccb4\uc801\uc73c\ub85c \ub2e4\uc74c\uacfc \uac19\ub2e4. \ud559\uc2b5\uc740 <code>lm<\/code>, <code>randomForest<\/code>\ub85c \uc9c4\ud589\ud558\uace0, \uc608\uce21\uc740 <code>predict<\/code>, <code>predict<\/code>\uc758 \uac12\uc744 \ud569\ud558\ub294 \uac83\uc73c\ub85c \uc774\ub8e8\uc5b4\uc9c4\ub2e4. 1\ubc88\ubcf4\ub2e4 \uc131\ub2a5\uc774 \uc88b\uc740\uac00?<\/p>\n<pre><code class=\"r\">fitLM &lt;- lm(y ~ x1, data=dat[-folds[[1]],])\nfitRF2 &lt;- randomForest(x=Xtrain[, c(&#39;x2&#39;, &#39;x3&#39;)], y=resid(fitLM))\n\nypredLM &lt;- predict(fitLM, newdata = dat[folds[[1]],])\nresidLM &lt;- predict(fitRF2, newdata = Xtest[, c(&#39;x2&#39;, &#39;x3&#39;)])\nypred2 &lt;- ypredLM + residLM\ncaret::MAE(ypred2, ytest)\n<\/code><\/pre>\n<pre>## [1] 0.5009684\n<\/pre>\n<h3>CV(1 vs 2)<\/h3>\n<p>\ud55c\ub450 \ubc88\uc758 \uacb0\uacfc\ub9cc\uc73c\ub85c \ub450 \ubc29\ubc95\uc744 \ube44\uad50\ud558\uae30\uc5d0\ub294 \ubb34\ub9ac\uac00 \uc788\uc73c\ubbc0\ub85c CV\ub97c \ud574\ubcf8\ub2e4. <\/p>\n<pre><code class=\"r\">dfMAE &lt;- data.frame(rf = rep(NA, 5), lmrf = rep(NA,5))\nfor (i in 1:5) {\n  Xtrain = dat[-folds[[i]], ] %&gt;% select(x1:x3) %&gt;% as.matrix\n  ytrain = dat[-folds[[i]],] %&gt;% pull(y)\n\n  Xtest = dat[folds[[i]], ] %&gt;% select(x1:x3) %&gt;% as.matrix\n  ytest = dat[folds[[i]],] %&gt;% pull(y)\n\n  fitRF &lt;- randomForest(x=Xtrain, y=ytrain)\n\n  ypred &lt;- predict(fitRF, newdata=Xtest)\n  dfMAE[i, 1] &lt;- caret::MAE(ypred, ytest)\n\n  fitLM &lt;- lm(y ~ x1, data=dat[-folds[[i]],])\n  fitRF2 &lt;- randomForest(x=Xtrain[, c(&#39;x2&#39;, &#39;x3&#39;)], y=resid(fitLM))\n  ypredLM &lt;- predict(fitLM, newdata = dat[folds[[i]],])\n  residLM &lt;- predict(fitRF2, newdata = Xtest[, c(&#39;x2&#39;, &#39;x3&#39;)])\n  ypred2 &lt;- ypredLM + residLM\n  dfMAE[i, 2] &lt;- caret::MAE(ypred2, ytest)\n}\n\n\ndfMAE %&gt;% gather(key=&#39;key&#39;, value=&#39;value&#39;, rf:lmrf) %&gt;%\n  ggplot(aes(x=key, y=value, col=key)) +\n  geom_boxplot() + \n  geom_point()\n<\/code><\/pre>\n<p><img src=\"data:image\/png;base64,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\" alt=\"plot of chunk unnamed-chunk-7\"\/><\/p>\n<h2>\uc0c1\ud638\uc791\uc6a9\uc744 \ud3ec\ud568\ud558\uae30<\/h2>\n<p>\uc6b0\ub9ac\ub294 \ucc38\ubaa8\ud615\uc744 \uc54c\uace0, \ucc38\ubaa8\ud615\uc5d0\uc11c \\(x_1\\) \uc740 \ub2e4\ub978 \uc608\uce21 \ubcc0\uc218\uc640 \uc0c1\ud638\uc791\uc6a9\uc744 \uc54a\uc544\ubcf4\uc774\uc9c0\ub9cc, \uc0ac\uc2e4 \\(y_0(x1, x2, x3)\\) \uc5e3 \uc0c1\ud638\uc791\uc6a9\uc774 \uc788\uc74c\uc744 \uc54c \uc218 \uc788\ub2e4. \ub530\ub77c\uc11c \uc120\ud615 \ud68c\uadc0 \uc774\ud6c4 \uc794\ucc28 \uc608\uce21\uc5d0 \\(x_1\\) \uc744 \ub2e4\uc2dc \uc0ac\uc6a9\ud55c\ub2e4\uba74 \uc131\ub2a5\uc774 \uc99d\uac00\ud560 \uc218 \uc788\ub2e4. \uadf8\ub9ac\uace0 \uc815\ub9d0 \uadf8\ub807\ub2e4!<\/p>\n<pre><code class=\"r\">dfMAE &lt;- data.frame(rf = rep(NA, 5), lmrf = rep(NA,5), `lmrf+I` = rep(NA,5))\nfor (i in 1:5) {\n  Xtrain = dat[-folds[[i]], ] %&gt;% select(x1:x3) %&gt;% as.matrix\n  ytrain = dat[-folds[[i]],] %&gt;% pull(y)\n\n  Xtest = dat[folds[[i]], ] %&gt;% select(x1:x3) %&gt;% as.matrix\n  ytest = dat[folds[[i]],] %&gt;% pull(y)\n\n  fitRF &lt;- randomForest(x=Xtrain, y=ytrain)\n\n  ypred &lt;- predict(fitRF, newdata=Xtest)\n  dfMAE[i, 1] &lt;- caret::MAE(ypred, ytest)\n\n  fitLM &lt;- lm(y ~ x1, data=dat[-folds[[i]],])\n  fitRF2 &lt;- randomForest(x=Xtrain[, c(&#39;x2&#39;, &#39;x3&#39;)], y=resid(fitLM))\n  ypredLM &lt;- predict(fitLM, newdata = dat[folds[[i]],])\n  residLM &lt;- predict(fitRF2, newdata = Xtest[, c(&#39;x2&#39;, &#39;x3&#39;)])\n  ypred2 &lt;- ypredLM + residLM\n  dfMAE[i, 2] &lt;- caret::MAE(ypred2, ytest)\n\n  fitLM &lt;- lm(y ~ x1, data=dat[-folds[[i]],])\n  fitRF2 &lt;- randomForest(x=Xtrain[, c(&#39;x1&#39;, &#39;x2&#39;, &#39;x3&#39;)], y=resid(fitLM))\n  ypredLM &lt;- predict(fitLM, newdata = dat[folds[[i]],])\n  residLM &lt;- predict(fitRF2, newdata = Xtest[, c(&#39;x1&#39;, &#39;x2&#39;, &#39;x3&#39;)])\n  ypred2 &lt;- ypredLM + residLM\n  dfMAE[i, 3] &lt;- caret::MAE(ypred2, ytest)\n}\n\n\ndfMAE %&gt;% gather(key=&#39;key&#39;, value=&#39;value&#39;, rf:lmrf.I) %&gt;%\n  ggplot(aes(x=key, y=value, col=key)) +\n  geom_boxplot() + \n  geom_point()\n<\/code><\/pre>\n<p><img src=\"data:image\/png;base64,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\" alt=\"plot of chunk unnamed-chunk-8\"\/><\/p>\n<pre><code class=\"r\">dfMAE$i = 1:5\n\ndfPlot &lt;- dfMAE %&gt;% gather(key=&#39;key&#39;, value=&#39;value&#39;, rf:lmrf.I)\n\ndfPlot$key = dfPlot$key %&gt;% \n  fct_reorder(dfPlot$value)\n\ndfPlot %&gt;%\n  ggplot(aes(x=key, y=value, col=key)) +\n  geom_line(aes(group=i), col=&#39;gray20&#39;) + \n  geom_point(size=5, col=&#39;white&#39;) + \n  geom_point(size=4)\n<\/code><\/pre>\n<p><img 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K3ag\/kPz2\/an8nPKrPzT1k\/e818+DAfIRK0suv7Nw91\/\/Bpj08MMFL+vZnfu4e61+5Oyf42PTtz6mC1x7DRQQmeEm\/\/jECd+v6Nx63xwROCD5UE+wYIZ1MT+XbztWiArPFO3SMkEy6hXA6P4\/7oBK8vWOEZKrr5mR3sBTO12QiN1AEb+0YIZnqzeWt3dUjn+twBB8b3NYxQirVW\/B1wBX32COS5OBPT08JXm28\/Qqr9r\/gHn0kmhj85nZOglcZ78B7vzf+DCQ7eFVXKOOCH2sfHwEecOaZFvz2kQ0deNXXNUs5qt\/bx\/upTPCHXaGMC3608\/iDo3pXIS41jQH+oCuUkcEj7zL39B2rvY+yjz\/sEWNs8Oj+CRxVhX3iMJeWCV7Swyp5qAoyBn2lkP08nuA7VWHGpYCf\/JU7SQ+r5KwqzBj1HSLBS3pYJVdVYcaw744JXtLDKrkqDDzungHeiCHpYZUc1RH0vNkSF4DgJT2skpt2nVOEvS1eBC\/pYZWctAPoZYy8OYzgJT2skpPCwENvCiR4SQ+r5KIeQQ9j7M2gBC\/pYZUc1Cfo8UAFNgTBS3pYJQcR\/DLB7xF0Nkbf9U\/wkh5WyapBj3NB7wKI4CU9rJJNA4KOxvinfAhe0sMq2RQEPsHTXQQv6WGVLBoiJPhlgD8g6PaYND4IwW\/SwyoZdUjQxTjJY7wEL+lhlYwKAp\/m8W2Cl\/SwSiYpENqNEz22T\/CSHlbJIGX\/4UHvAojgJT2skl5KglbjVP10ELykh1XSKwh8sv5ZCF7SwypppUZoMU7XLw\/BS3pYJZ00CM3GCftjInhJD6ukE8EvE7wOodE4ZQdsBC\/pYZXU0iI0GSfteI\/gJT2sklJ6hAbjtB0uErykh1VSKgR84o42CV7SwyqpFDT8G8EXD96EUGucumddgpf0sEqHMiLUGSfvUZngJT2s0qFCwKfvSbts8CUoZDi4yQwhl1XzavGWtqs2ztB1ftktHhU+HfigsX1zDJlA8JIeVmmgEPBZhsogeEkPq7QvK0OFcZ4hUghe0sMq7cnO8NA409A4BC\/pYZX2RPDLBO\/A8MA411hYBC\/pYZV6cmE4NM42BhrBS3pYpZ2cGA6M8419R\/CSHlZppwDwGcc8JHhJD6u0lRtEgp8beEeGe8Y5BzkleEkPq7SRK8O+cdbBbQle0sMqbRQAPu+gxgQv6WGVRM4Qd8aZB7MmeEkPq9TKHSLBzwm8B8Otce7R6wle0sMqrRUAPjd3gt+kh1W69oNY+78FI4KX9LBKnhBr\/7dgRPCSHlaJ4JcK3g9i7f8WjAhe0sMq+bX3diHG4E7wm\/SoQp7cgwYVhojgJT2qkNcRfegw4ggRvKQH1fHivgU\/BnmCl\/SYMn4b+uPjEZs8wUt6SBXPA3qCJ\/j8InhJjyjieVrGffxMwHtyryoe1c8CvB\/3quLp3ALBr7FzUz8P8B7cK5mXB3dzAO\/OvepmJfglga92MxL8DMA7cq\/683EfXz54N+7VYDYe1ZcO3on7EHvzrs3Xsvw+fsbgD7HLGV27ELwDp0zwLtx1Ezb33PEu2wLB26Edct1O4H31xYK3IlNg753TOZcBi+AlffhbLcQUW\/G9czrXOmgRvKQPfqeZl2rnvTeJj0kXCt5IS3nMtj+t1v4lsQhe0ge+z8RKjX14Ece1GloEL+kD36dHpT5DO5hYm\/+cTgQv6cPepgWlOTE\/nFrbZkglgpf0Qe\/SYdJhV0weGrNny3LB6y7DKScfGLMv2+mDV+\/FtZsBR+NMl28LAf\/bT6vH8r+7Z1fNi0dX44N3O3rrpmv+oDLmCBU73Z7Vb87lE\/DoqnlxeT46eJeTNePMemOOSbPVu5dr9o0uv33ega+qUUfpOjTX5\/ENyuHHOr3dgL979uvzq\/pydSaTUZ\/agM+\/6ZsX67xW4\/RtvrAWf7larc4umxZ\/NjJ45X0VmllNFHXGyckXAn67j68\/Pb9qtvO3j8cFP+BiYmtGqDVOTb4Q8O1RfcO8Bf\/pT6uHP08IvLFJWwDqjROTLwS8RqjwvquhD8WM3YbPYJyWPMFLeq+5e0jMZO3sTMZJyRO8pPeZeQfE0qAdyBmNU5IneEnvM3PHw4bdhZvZOOHlW4KX9B7zbmDYoLgxsxknI0\/wkt59VkFhbYuOxKzGqcgTvKR3n7Xa\/rDOBTFORJ7gJb3znGsO9ubuTMvBOA15gpf0rjNWLlQ9ULkYJyFP8JLecb7KpTH7gHIyTkGe4CW943wu2L0wuRknIE\/wkt5pLhemnowcFwFPnuAlvcM8VQLuHvsYsAhe0lvnaKijN\/Nuxl1p38ooY2uhWYNviSKP5l2NBxFwInhJb\/xrhb1o424cXx9ibC40W\/CbppaEe+jXgvEieEmv\/Uu3hcVdrHM0VpoEeQCMTYXmCb46+I9lPpQx1iba2FBojuCr1Nxj7\/IMF8FLetXE3tYbcMuFh7HRK9gq0lhbaG7g92hG3lnnZWwRiDzBS\/rhhP1GnIw76qG9LMaaQnMCP9h2R91A7WXsJAh5gpf0\/RdDlhHPS\/gZuwpBnuAl\/e6\/hv5HDxWNIGwRAJdvCb7LLv+1dEQ5+Mt463+kT5yqULng6\/r9+\/dtMWtHlI5\/8fAOfeMo+xhloWLBr7GvVTt0ROn2Fx\/z4HdG2hN8vQWvvoqje9\/oZ1X5TyfUhYoF\/76Tqpxu7aK+HY9ZhNwXEDSFZgleyx3h3LrHvDnvJUNdoTmCT849cv1H5CB40z5evWKRN0FFLkLGb4e0hUoFvzuqP\/iLhjvEtTOPfH+274P1hYoF3zuP31cG7vHrP9MdIIZC5YK\/1tRSntaDb3OOX4Qs93yZChUMXr0a\/C7nAI19lf4uT2OhuYHPwh2z\/lPf120uNDPwebiD1n\/SJzlshWYPPklPRKBF8I9G8JJ+OMHn21mocaDSPbRnLTQr8Lm449Z\/qsd07YXmBP7wJpxE3HHrP9GD+Q6F5gw+FXYkeM+QBC\/p917l444E7xeT4CV9\/8XwJtuE3KHg8b0uORWaDXiPm6uxxvHy+IwSvKTv\/d\/9YQqwMULOcQle0u\/+m5U7HDywL1XXQjMBv\/\/MXGruePCw3pNdNQr4BKo0\/y9HZaauR27xzs9Go42BcspddotHhd+uht46yzO4bwrwTuQJXtLLrz53WG0XY7AcwhO8pJdfrn2f4JQGvEN8gpf07c9dV0e5uKcCbydP8JJ+\/cO1iyukUoG3LgPBS\/rrcbinA2\/bahF8l33LOyf3hOAtC0Lwgwcq8u3exTtlcdOiEPz+I1R5sScGb1oagt97aDI398TgDctD8L3HpDNv5lv3xPW1S0Tw5h4xUiu5p448wc8cvI48wVs6P0qsDJ5q8gQ\/9xavIU\/w8wevJE\/wCwCvuipF8LPfx7c6IE\/whs6PMiib6ZA8wQ+u1WdWPtcBeYLvsoNq+Vrns9onT\/CSHlZpwsZ75Ale0sMqTdm4T57gJT2s0qSNe+QJXtLDKk3beEee4CU9rNLEjbfkCV7SwypN3bgjT\/CSHlZp8saby7cEL+lhlQowrqBXLgi+HOOqrk9PT1FXvAm+GOM19rVAX3IRfCHG9RY8wp3gizHuuGOaPMEXY0zwvfSwSgUYE3wvPaxSAcbcx\/fSwyqVYMyj+l16WKUijHkev00Pq1SGMXDtEfxCjQl+ocYEv1Bjgl+oMcEv1JjgF2pM8As1JviFGhP8Qo0JfqHGBL9QY4JfqDHBL9Q4Lfjfflo9lv\/dPbtqXjy6IviJGKcFf3tWvzmXT8Cjq8vz+vKc4CdinBb8u5dr9o0uv31+9Zf\/bFt8VeFGWBttrLblGeulAv92A\/7u2a\/Pr5q2L58CnJa3\/gsB37X4y9VqdfaXnwm+XGO9jPv4+tPz9T7+9jxvJiqDtEf1DfMW\/O6onpqTxh1UmBpNBL9Q5QK\/f4B493T9st2b5JTY5pNqoaeiccDLJaHs4C8zH6WqFnoqygf+9t+fPvyf1cOfb\/\/t4f8+\/fplnRn8zjajp2Khp6KM4B9dXT5uPva3j0dp8TvbjJ6KhZ6KMoI\/W2\/6mnVwNg74s1HAHyz0VETwST0J\/mAdNNQJfkTxPH6hIviFiuAXKoJfqAh+oSL4hWoJ4D989cvYEaYngl+oFgL+4n59c3R0v351Utc398cONAUtA\/xfT9pm\/+rJhy9ff\/7hydiBpqBFgH9w7\/W6wR8dnTTUueFvtQjwX\/35pNvA39y\/OBk5zjS0DPB\/++bFh9+9WG\/kP37z+9dj55mElgH+l5svfmkP7ur6god2rZYAvq\/PP74YO8I0tDDwN0ds8KKFgac6EfxCRfALFcEvVAS\/UP0duxie3y549w0AAAAASUVORK5CYII=\" alt=\"plot of chunk unnamed-chunk-8\"\/><\/p>\n<h2>\uc120\ud615 \ud68c\uadc0 \ud55c \ubc88 \ub354!<\/h2>\n<p>\uc6b0\ub9ac\ub294 \uc0b0\uc810\ub3c4 \ud589\ub82c\uc744 \uadf8\ub824\ubcf8 \ud6c4, \uc120\ud615 \ud68c\uadc0\ub97c \ud558\uace0, \ub79c\ub364\ud3ec\ub808\uc2a4\ud2b8\ub97c \ud588\ub2e4. \uadf8\ub9ac\uace0 \uc120\ud615 \ud68c\uadc0\ub97c \ud558\uae30 \uc704\ud574 \ubb54\uac00 \ud2b9\ubcc4\ud55c \uc774\ub860\uc774 \uc788\uc5c8\ub358 \uac83\uc740 \uc544\ub2c8\ub2e4. \uadf8\ub0e5 \uc0b0\uc810\ub3c4 \ud589\ub82c\uc744 \ubcf4\uace0 \ucd94\uce21\ud588\ub2e4. \ub2e4\uc2dc \ub9d0\ud574 \uc608\uce21\ud558\uace0\uc790 \ud558\ub294 \\(y\\) \uc640 \uc608\uce21 \ubcc0\uc218 \\(x_1\\) , \\(x_2\\) , \\(x_3\\) \uc758 \uad00\uacc4\uc5d0 \ub300\ud574 \uadf8\ub7f4\uc2f8\ud55c \uac00\uc124\uc744 \ub9cc\ub4e4\uc5c8\ub2e4\ub294 \uac83\uc774\ub2e4. <\/p>\n<p>\ub79c\ub364\ud3ec\ub808\uc2a4\ud2b8\ub294 \uccab \ubc88\uc9f8 \uc120\ud615 \ud68c\uadc0 \uacb0\uacfc\ub85c \uc5bb\uc740 \uc794\ucc28\ub97c \\(x_1\\) , \\(x_2\\) , \\(x_3\\) \ub85c \uc608\uce21\ud558\ub824\uace0 \ud55c\ub2e4. \uc774\ub4e4\uc5d0 \ub300\ud574 \uc0b0\uc810\ub3c4 \ud589\ub82c\uc744 \ub2e4\uc2dc \uadf8\ub824 \ubcf4\uc790! <\/p>\n<p>\ud3ec\ubb3c\uc120\uc774 \ubcf4\uc774\uc9c0 \uc54a\uc740\uac00?<\/p>\n<pre><code class=\"r\">fitLM_all &lt;- lm(y~x1, dat)\ndat$resid &lt;- resid(fitLM_all)\npairs(dat %&gt;% select(resid, x1, x2, x3))\n<\/code><\/pre>\n<p><img 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\" alt=\"plot of chunk unnamed-chunk-9\"\/><\/p>\n<pre><code class=\"r\">fitLM_all2 &lt;- lm(resid ~ I(x3^2), dat)\ndat$resid2 &lt;- resid(fitLM_all2)\npairs(dat %&gt;% select(resid2, x1, x2, x3))\n<\/code><\/pre>\n<p><img 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hm6iVodbK1SzHIvvZ7WGcHhxgc1VtwucachFAa\/iII29QJS46heoosAy1aoboACVYdHWxbwOvUruB1Sl48NibYTkSKwhlYsAPsABWIBfTiuz4WtOVZH\/FLWSCcG2MfV7S60qdX9mrB00wMVM49UBH6\/F3BeuCxHqUSXAc6QN8sE2Yc3PqtKbziDPC1puXWnFh4t1+iPwHUXfonr611N7uE\/c9YvXUIJlcbfAZUzj+TJOn5sAnhaaDjgBRjQ8PNzhbh3Tgp7\/gI9VF3Kq8DKZLV+sCnNHYmzqTHbTAZYulCXAm9GHCr7WAgEZVgVphGchtaxWaj7DwKuCzdrJLPA3RPXTSi5KeNgpWH2LgG88p\/HefEphPkr1qmDDh3vIrURCqn948eld41uzFw+8LiSo97oP1Sf3FAu8KsdE12yOEXL0fOovd5jmgP\/x7eM3P10v8HrwnqDvGJ0WkUuBN4X1\/s2Be04VJU\/yPNLxjAIJyPL9XX3\/1cvrBd7cbx6PVgQ+bBzR\/haoTlX8DeFeg6I94P7HH9\/Wx0v+VShDG8jbrXJmJVUyQhmN5pXj\/M6Klzdsei0KbUS54A9iLNgheGd1HVVdmxaeBNqq3HA3ne3q6C0DUC74gxjjW8h3LFZWxZDkm0u9zwFf9GlkqBUr\/pI\/iDG+Q4kYeQVVPMc17gnfh5kDXlf\/fj3+1EsXympUfxBV5nslIzZ5Vfmj3wb8si2K\/rqeKviuwKBJHaoWb56oOtXShbIC8LJBO4TDqlRXHrKvQ5VsvgG\/507hm2D7qIKpa5CPc1V+x43q991o7rnoHIBXz3GLtk5VnWrpQlkR+LkZ7xyoPkJ5o\/o9d5rbYY\/hbtiWVNV+KLdUnWrpQlnhcW6ggJepGgdrXtVqCXCzwPe3yKWqFjThWVV7NvZI1amWLpQN+D3lZoEPPyu1kqrWx+LaN86q6n3XqV9V\/fA3aX77p9\/\/pmvpwK6HkfWGO96mUWVjqpaXZbeq\/Ssfb\/\/x7Zu7i\/6bNPvtd7vAf39X6+M3twn8Iah+gRHdqvanevwEzl\/f1p\/zXy533cDfrKqd3NAncDZVKGt9AufwsqlaSdVOVvoEzibXJBvwNyob8DcqG\/A3KhvwNyob8DcqG\/A3KhvwNyrbGzhXqWpd4PuXLpQrfx\/16G\/ZHmvpep8jOFM0ljm4n1dDOtdB036E44jfTj5P4Bc6uJdXYzrXWWo\/wtEL\/PLCPyXwfT9heybAz\/66h66NM8GPcHRNDu3fy3WQn11eLFZVF6jZj7i271yf6gNj1\/x1Z\/YjHJ27JiHsiey5A59u1bx1fa+8xunMaaf6uACeTTtobQzJEqrPt4J7w19UZw7Gtu+h+rMA3twFkT1+bRxFlf2Na6O\/\/Ki9ecdwVdal+j2WqptK8CJlhT1UDck6quLfQ2mwOhzwbqg6H+Dtr51rd9RLo\/rIDU9s61K9\/3VZ5wh8SQJ6fsAvGu6ym9ak+oZKOi5LNBwOePllfwH28cPhuQIPTTQtv\/zkAq\/cFtwhdeu0hXUa4F2eTw\/\/0VsAcZzPkerJB7K55yfvdY6Me+XwnH6tS4GKCX8H10mAN7nIwJeo5i8D+EJ\/2kuAj9\/IcnM9ergEePUbfIr8ZTWuccqBMwOe6xz\/EqRefQFUD7krVJ\/9Snn87qvecCHVqyqSP6wG3BNQQ7eG1akevCbA6cuAhhMCb6Zml7ORJ5O75u4FVG+zh46lijgnoN2fw3AHDW4ieTCb1qQbnQp4GJJMqQWzaUz1xMXBGNDrlZnc7NYya5juBHetg6b92xYjwAspFozeZHe204mAx8iZ2Dd+b5rPhwl4W4mdXrmGLQZgh9cai06XdYC3f9uia1d8i4ZmUSZ6yYMZY04FvCvXuJXKFTzB3FHFW6uqbVEwOeJQFxkwhbRLg709E\/zbFoMf6KpMTup5rlCazhlzfKrndmSel9Q4ZTZI81dTcD\/VhyVfhCzdWnp46tSgdsgv2b9tES0FHNVX+Eu3yEWqRTWMOTLwXFhgbFH4Fc4Q2cFXJzQMPTYYnbiR9G7faFrW4\/OStNKem50xC5Z6YuPps6JRwRNQmEYLrFooCfBC6xhMYipVXuw4npiyXpVu4BU2F+SUJq0Wdz9Hl5rpwYC3djngC2R7MYK2J++DLLBqocRUP5mmh1CpKfARMh1ulIbBiW+9knuZGqmR+n5qOAR1iUIusMMB75nIUr1ArtIRSl9zEzp3MuAlYQvBjD1JZ7LgAwsZB2QLqkOdY5JqkDgJ8GbjwjYUQkPeJTko1UctSJ0DS129k8mKA6hCjDHHB57t0XW0c6qK4VL7tYIzCoUi1zLga7VXMCbKNgmdjpy6iQK\/IABdSwN+tvbXGtgZ5cC03RkAb6sZ2Gm3BApYFaZmNKCAWqtsEFB91UdS8bq6WhGUy6D0YMAHNhtPdMFjKSXmF\/R\/gVULxVcVsDygX7kbYwJMXmKK6y5Xic1zrxBgih0FazqtYgWmcUwtPR0a+IjykRG0RebY5EKo4fjAFw59BTMVO2uzQ9dUonM0Yq8M8JRkUgkwsHPosCOYYvIa+gIwshRGsyolrznKtiQNOwzJkYZTUD3TeIVXkzfTvzDmVe\/Xbjf0s+FVUTEsQQwhtSghfESPDTzTmLLVZIO1zNl5RsBTGnLlU0LUqkJsIKj8mrODL3HmRF7RRuplZZUmp8Qy0B4hf2DgYa6tVR3L2hmxg47TcGhRecvAS+lAYnL8C+Cloo\/lTflRZHng1Q5LgZuOsF0AnjblXHs\/FvBkYJ3IDY0G\/1vIz2k4sGAWC9UTaNOlAhBzwLG5ykhoh0NuBTnVw\/AA40DR6IohURBtSNcB\/rvy4sWLT6P36oXWxNAKaTgHfKb2VMCbyAYtFYKrxxVfePqw6RVfZ\/wle2bFmTgWt9ZS\/JYsea3MJiasmOW6Jho2O6Y\/KdWXguVqXdBtQIWd3I2ab+4VQE7Nw8TN4erD6LQdmOrJdELPHPWgLg3TBGLYqoViKx4aa+AF1G+Ib6nufmn8aY+v9AzHHZ92AIty3F3NHwt4HnJokhkjKdv+sm54GEHgjWnVhxTL2edFxeUVrufpPDnL5KJGhAD2AOZgwRErngkK+v5syctXE4jTA4\/WZW3eHRTiewhMIQpsDXcF4S5FzkUgx+mgFhwUeHYPYlYF+jKLu44WBuIsgBfret1ATCribvuZ95aDlzZKRSYD8ewPQOdS3l0Sk5skDacdkeLYZGgcWqLhzlnY8sUUIBCgXhJ5xQRBcGWqosLPY3oc4JHIyEfd7TpqBtk+DNHBZA54DmbsBtMbnog7cwI8jXGtYPVVUaRqIAC9SxVUlq2bdkVnTONbYNVCQaonlta2uralcsQmed4xYqpniqTCYRrQt87srjUdZ7ibPMCjDgOZ5HmaiTScAvjATo8EdgDvLrMgXPBe8eAI+9BYjLfW2gO36B6L2wpLp1xLuC62EkbaSMPxqR7hb9A7HxW93lyHHayqWqBIJFPUk1xfndurY3HbfykMp5YcE4NpsnFbnrTHz45X1Z2wE2ANWrYhF57peJUq\/iR6ykSrVZSfAHjh7djyyA8z2dU9gX\/3\/9K\/qhhbTQezRkOkg5VY3Q7VAHhXznKXrvcsbvGl0bg1lr778rOXL\/44vxTD0gU8cRzs4NAYlvdffLwY+Jjd0xPpHBe4b7yaCtOo5MrJwhVdbqoaCICXH98+\/dP3K03BkIGBBANi0RiVh1KWAu\/YPA7+rGPhXGC9imc2DqDr2zP7G2XrAP\/DX2r95c+dPzs3Z5S1EPfbA\/j7J7Tff\/H5E+6fP6wAfMblfYGPbrWqcKhw48L8du3LKwH\/+PPLl3\/4R9fSKvQ1Eha416HRJ4+vP6\/3n3ygproG8HH8eerOOX76YhbUFPjdbjJXujlxFuTYzgUB2Hdpn73G8ExDv1UPH\/\/9d3fT0b7Ap0\/0yRjgYQ6wiKi+Tqun5xue9ee4Jz3LBiwIwJ5LZbDvEBmpEg0DVn1bfrU72Bv42jCei74TA17hvQK86UFoump2DrtO08ajAl\/InW6hfF8H+Icy\/eXcdXp8ZKw9sic03ZmytV4x7KVIIlSq+WDb7tCOxW3fpfCIUop5kE0tZHcyDf1WPb5+OQG+GPgUUHPK0b1vzHYDqmnQKV1euYkzxFQZSd\/Jw3pk4LlwR5KzFMgZr6HfqvtP\/vdpvvsg+wPfPJKG0MbAAOa9wtqYXuqtqtPujIiz8\/hUX\/jfEWKySb8E+PdfvCLEV6h4wLSyld5yC5BsEszmkVfA9eHu+nSaYTagxx7uyL3YvsBiCerewH\/79Cj3+Pp5vNuzx2fFRMMIm8ynbTlOC\/2s73VSjejUcVDKprFtOqYjcVtrKebpbJNXU3SsYcCqhYLVF1a3QKMm+sotLUTKDwyhV7TU3ZC87CgqX0adAdhvKQVut6ptKHa4RMMZAE+26tmFfGVHdOn6xpF4xWMOrfSjQ42+ZCGtJwKeIlAL1kRipHxNNRwVeEfe6olKVTffAPdU65XZIfWKgZJ9zchhR4awIZCW9ag+\/xGqYBNO4WqmVE9+UB6ZMUcGnnpUBdOlEZMXAJCPvPOW9869Yp2iWelHxQCwj+vu7kBDTwAC+V5PSzPA85w+J8qPWMMpKp4DCIRejdGVrzjUp380fTSBtyEw+vzIkQa0yoQ9HoCZZRFOeJlVdwjFyJfAoFV7iFKFIeRIqpKvkAmm6C290Q2yY+KVcIgaHSro4BbTzADuRusB\/wt8c25mqRTELPgyTGXGHB14Q6W1WiempUmLDWcybuGZV5IYoAY2DOa6aNSDAWQ14O9fdS+FUcVaHoSJqTA25iQ9fgodkREzGBx5n9QZ2Qp7We4V3WOKBXongmz7jtjMulYD\/k0\/8FlzjJD37c9oOHaPV2SpBytDwfB\/ocUaBLg0B3wVjDGVoGP7+qloEwK\/asUPLKXCqGLgnJwJ8AXiXAV9irI6qlVHXbkqF6vkduQVpYShSUkwupsTjs9Xgd5YdmrgKWthLDHhoRU0FMjBiYCfxpMpeHSOn1Gm5YSkLTxkeunbkNjOK1JYledqzsAuUDmSQP2SbKj+FMCr7Jypd24L4LXScHyqJ7TJFwaW0CvGQ+B4ukPubPf4gqoqY12JU2QylEqXelH9HbJPqRoIwP5L9RwCnVDlJvKibHxS4CuHm4vfEP\/kn0Gec6HSHrWK53Kf1wmMh1kgmYL5VrHQzTCAlF+H4rZixStOwjRgw6CC9K0npXqxgnu9wA8pqssb+q3ZWXI8V0WNxJY\/bcF9fLcaiwl7DVtlyWUgAHsvNdlo0hPPzGs4BfBcRZgK9rqufiq7ioTNJZCr4p1LBXht5wcCV90DhlGxxGnoDsC+SwXcEpS71EdY8lbDyYDX5Setlimc75JcnlaCb5rYUq9Mv5N5AqoI7ShkBySWbp3roDn058ckRJSf3H\/IcG5s5wY8lpzGAjp+0ZYXfcYlNWzU5xXMBcQGqs1UYcsC23NboSu90lg69OfHxGcCmjNRyNBwYG7MUYFH1tR8jMBXc7HqtoVUn6tqWhRQvV2hGUCOgSt6pbEU\/\/zY7K42OyER1X0tpj818GKdCTC8bOXtvKr2uhIdqgXQy4u50qMhtMoL\/vkxHGySbdxlaVXKwsY2p6X651dmcnKm5ImbOtbtleLv8DoOl9H6dYCvA9+dC4GnMX7WI6fh+MDrpgn9yd9nUyHLkUjVjEkT3ajZwavyVq4OfP9353y+4wOds3DGmKNTvQliaw5JKCBOfaNqziT3sJDdpG2usL5X2kv7vzsXlAa1xMjCGWNOCHxoouIEdwkmAKuj1AGv4EnNAy+DH48aocZeWWlpyIBFvqEwqOGEVJ8s9jM9XcoSZRx40uQH5bgPhLf3ysGAl6d5dapPw3GB71mcAh9Nq4LSuKpGU69cTg1De2WtpZH7+t1E+b7EvIZjAz+bkSkvGODhHRbvzEiszdzAb4lWFVF324CGgyzlG+TNu1pmsrWeDvh0hjLRjXhNUxoQMrK0Ocg16H1480KzCLb6YMNzAr6ywSU2NtJwNsDHuKoVcWbA0rZXoW7dKxB4teBsgHePOsR5hTjxUqg+eZ6anVL5zdbuio+TLoqkeqNJNRPuOCcCPisciUavhmMDH1zNG2nP3nPflsXVi5w1Q6B6v7Fvg\/zSuy9\/+6ff\/6ZrKS9orOmw6wyBX7i34f+GqlVkXeB\/fPvmrvMXHNKKNpHPkubZAL+wDOlGW45NVUsUBGdXpPrv72p9\/GYE+CG1UWc7hKrUgEOoak5ca6iaZdWBjTJ5\/Ovb+vPdtGzmu3OjsgG\/ooJAVddGDRn42blBOXOqX76v3+8YVD+uob104GfnBlSmG10u8C04RlTtSaurAT\/ys3MDGrOdLhb4JgEPqNrvaeJkz\/Hd22zAL9mnz47TLm3vs1H9on16zDj10oVyucCfm6pTLV0oV1SV\/MQAACAASURBVI7GxQJ\/eNlUraRqVeA3uSbZgL9R2YC\/UdmAv1HZgL9R2YC\/UdmAv1HZgL9R2d7AuUpV6wLfv3ShXPn7qBf7lm3HksIH02fq8bfH9WvoWY0\/jEsqC5kwnbz8bwSKg\/7HZX1k8dh+SDqzqsOGnhWCOLMPn+rX4JaGPxFMjqvfsiU\/vHNZ3\/q3qYo\/PbcDms7wT6MWjKz7lK39kHRm1YADjRW70Hvgy9xPT2kNdqW+mXyU\/THV4CPmyAG9qtaXtioC3KTqhLhPYoowuFxr4fVSX\/ZD0plVAw5k15NfcSeIgKNtDU3gDaPoTGP9kheh5WcAfFF4UqpKAfNvh8PfZYcEamJrHMUPSbesGnAgvayq0NR8bcFgNTSp3oZD6wIGrKDR\/TBap1crSKKqVIVWIYrSP2Cq+nkF57G3Ma+tyt+zS5GsCpqUybwGXGJuwMqOodcHii9nVB1GmsAzopDNXChV0OeZtVCco6geFXhoPqrqVwJeD64SkUyPogLbQtuqDiSJV9Y0btGqWfF5pgdhBJ3nR694ylwaMbQ1CpEinrQ1ZMDzJmG925mSi72eG9UXfVa6PBE+1XuBAldNTlo9+zvmzGpUj4harA0+NYMjo3pextkf1Tt2gSqR6M+xA0kEfNEv+GSBc5y1UDOxo3T5WMDb5qtstvMXmscty2wahwiXUd7MljwTqc6hlqpDiVcFJSt5XYzb5IMQO3OBKiJyfNCZPZZaS\/HsxD2uKrE79wDPDQReh\/sa3FVqcUomGg4ssVf8RgwDTPVdIIiqkYdDHfLb0YAvGiAwmyIeYSKUNU\/12EDw9Szw1CYlkOV8gCe+kk5eicwKX\/JNjSvKBJOHgSNSva5zRElTvckB1bihS3hVbigLAXaHNPsw3qr0Y1WHkkSVLgGyUmVDlNk67aXre\/7stGrBUmm3Arda5s2mJFXAC110WBU3OR0GmX4mM0LqGA7AQglVKXafLnLCCgdIg5eMMKTH0Twe8N56W6G+FOWV5fPqQ2TLfToH5eCpz6SCMgxMPTHwWDN0iiyv0LMlWlLbhbjM1NKYM\/svbSQas23Ylbm7ZVQfRKfqAOC8I+3D5IHa\/7yAt+uwY1bFAqZqiksKq8H9ZZnMqgEH+ETBL9ENpQ279T8EXvEhMaDqkCaPdITUDmdG9XYhVy79qzob0lzVPc9RZvV\/WSazasABed2+u1SyVTFTLQEkWgPipMsUrmjoq2JBWpFOPacGPltbKGz8sgri4CsmPfTKUjij7F+WyawacEBeKya2STwZ4TPWlqjXoM\/iacwBXQMENlC+mJA7c2zgY34syi8cgCrDiUSmY+l7ZdV\/WaZl1YADylqkGYsXV7UuSqSoWEPaPAocUhSk6\/FLjrEJ4YCq9USpimkSMzosCOYvpEofxn3QHF1qgC\/ageqKXMFe1NomGioULn\/s1tIElVGBMycEXiCjsxgxXqNGJeY2G9JRZ\/ZfqqgewfRIe7zA7dJEA9Iq2IjqXIWBQlVtASkNJ6F6+se0SeBHOxNBBbkAYHMbt2qdpQCmGr1C3CFP+4A3EYgDIf0eRqTxrrKeoKoJnyKjJ0wwVAryrDp9qbrOa61RbMecWbHi1askOR08dJOjej8qms4W7W1mHrj3PIBnZKexGGIgYx3\/K7NrBc+ALoo6PebMej1en51syeH3w2sUIr8rUGFE+rVU7INyY+bMSYCf\/KjYhqYz1rVadRCxXHQsx5w5DPBqBklIX80wRkMCPDAl5VXAeBg1CGrizCmoHschMFJaFA5x4m7h+1REIcVPSPXgIidrWJpgtNcQUL3S2BAzA8h+2toTAY8tfepbylWVsoSy6V4mhJwvY84cZikMKm14dDF2ooFeq95HUdCD0O4W3tjUxpErHl9yTYMRTJMhmwHyttcdvcfbRdBWU+A50Rl7oyFq78oQhryqzNeVgMjDrXOq1pYEeJlW8RynLJ8A76oOKTS9EwFv+IuNa5My56\/XoFXZ9JjdWedFaOqJqd6kKZ+rBWCUHPDuJbFcYNWypVy9sgaptoFPNL7FaJgHAJnqdMGrBqmffVrOHBl4PqL5TThIA+sS3BKZnJMEPxrwMIEwN+3O54hr72INDnipVLtFY\/cSqGirOohkwBddNQpwGuAxVqWo195n7cx35cWLF58e6IcmGXVLxca4aKwPirFJ9bsjtXuKPMRM7TOr6hASqSoSNiF6xVMqeUsY1Sik4HL+vXhjTLcDeI4GDjWgFEjSFPuWhpSfg42zIOgoaBtPDryckSbpJ1XsYjQJpg6r4huwas+lMN9lSGtcIuRngRcP41yCo2qQPkvg1WRLuNuydzNAI6gLrFpvaSMn8SgugKYqzhncqJpd1VVN7+dD9cGqAowGxU9OUFco5rocjzlzmKXVGacSk6kr05CP4jQLiwIVIjf6wtw5pGpFyXq8TcQdDaq5VDDHf0ySy6rTAx\/Ajem5W9LQkKnyJa\/QrjT+8WTH\/w2rWk8CVQKgOkMHksb8mnPFBlMOx5w5xNIG7DwMhpvNo+GfFpzvyIFEj0tUrSZeVZHylVNFDtgHaACyLgzpRKQLrFpvaRN3hmMR\/85tbTiQblqiaj1xqoCnnl8S0uaaBhZuVb5CVI8LvA9rZJYFPu6888DbAc685qkxTqwRVetJADwZOZ3VNTvxOvwnwCLwJsCDzixbWtAZvUUDccreir6EGuaoHkNiuV8OWvCfAdXz2QKZWoJ6r1TyBS+7DBhzZtFSsFu5INXWhL5SRqcaGlYl+R4kWImV9KuK5fH108afD9wQqULTcOBlAAH\/aLLxMdDZNGDVyFJip8lsdIDm0BQgGU8bGjqAT8E2r+acGQX+8fVHd\/W+\/Kr\/DqNK2jH3bWF+At7Aq6obEsJ4fBSqJzUGeFPvDidIzGA66LGKN9JJoBVL1Ni2BaoieffrD39v9\/7j5hvhDVXFfuXRnftYRX+wvWnofUkdFHgK4WQ4sj7F2cDhjVOepyGyF0kxOd+ufl63288iPw78B6zffzFx\/MNH+e+MdIarA5P3VLdV\/AGE+S2biliD41z0vDnLuy8\/e\/nij\/NWdToADGVf86mk\/\/I+luuSELlrolhADTgF1+my6lQVy+Prz+v9J293L75dXPESJHZLJl7he56FmPoVoZk0gZiy\/PjB1PV+ibGDqyAcnKC29NiB4M7AmCbw6gXujxlm0hITb1ZVIg8f\/\/13U50\/jEx3kaoCceN6JWeI8IFWkeGYaTG8uNlOfvhLrb+s+EOTOoDSRCFZHb8z7jP6YjT0FCnDT60x2ZM5PG1Ot+lNQ1Vt+ZZGuoeR2S4GHpHXSQDDGwKPLQDyQ8+w6Mzjzy9f\/uEf81YNOKBOAXHrAg\/wWAR8MRErBbWq9KpKEy21u+gxaCAAD+XV9HXkaS7xiqsccOdshXalIli485PHSP\/7ojmwtKADRWWsY+DJyy4NCfAA8dQBVVuhFdB2MIRqvwXAP75++dzZ78dwb\/MYkL4qHlohyVymvIDyRyKgBjBs1fhSYlIy0iJdlG1DGhrtxGV6kVeY\/6oSjJJlwN9\/8r9P890T7q+6b8m9ktYDFoq9hSKrIxk0Uam2IWcGl6JZbFit1h5n3qgxQY5VTexhcvmzke6FVP\/+i1dP891P7349Vu+tHi+YI01VbPZYTo5VgdgOS\/UwaxCLWkMdBLio25jizlOn4B2L0krcY6EHuih2y8EAfPv0KPf4+lf3u70XP8fTIUaGi4gDq1O6miRwuU4pcxTg1ViiiyyoPEKqz5gMeG5+OgjVKaXExFooZsvhACyUjOo98IbheUrhOFYDOJ9nZMat6lqqOpC6Vmh6M4AjQC76qTEx1cO8U6n8oeAt9JU66RSSswJ+d8JRPdYUVH810TXt\/+BU37mstKRLQwY8XaQwRBXAycCpWtwWZwK8WoXMBXZXSXEZT0qRtRjVcwZe6rWhIe\/xuy9FsX01QZCWV4gezh54dgS7PF7kM5Lavp5OCnwLd+bemPRngOebgAmDGEiTQS49Q6qHXJT5jCif+j2gbfNduTzqzMpLg\/bjcZkca2iIQwTAa9djhaZTnh3w6A4NcPJK4lidR1FIR51ZdymZOwN9GaR6Pk2M5pAvQUhgtlPF36VqRZltYICx7uD4X5La4qzVcNAfmgyWcMQzvIvnXaeh3Q1le1\/7RlfRUR1UtY5EqnDOIainfqYy2YZRua7mGsoakYP+0KRb04K9yGNHvFeIhkfMZbyH3XXP8wIeM59NY6aHR3PrVBRXSYQgweetWmdpbh0nao+Gos4xwct0QI5mkdC7BopPDLyYAznAVA+1Dz7CcK\/ToBaJh5Jf8u\/KrgK8pGqejCEkqYYIeBweZKg34NdAS4Gqaqo6kHhV8eOG6u7PJ9A\/E1\/NBTWi+lrvG99OWgF4Kb6Inqy9XRoiqhfghbuNJsw+6BF+tDs58Lr6p6+FZyT0TMwvUY5Xdtc78+bAwE+Ylzg3jbldGsJlBKZkWZRYLlzTfudU8dUGgpNZ8TuPgJLTecOPgO+yao+lAkI214VttqEhXohk7zqeQV6z5tkBj4WuSZ7NRnSTStdNfsyZVZZywYedntJ3XtkcGljzLdR1yOjOIVUrSgg81AJ0yAr5zG3bwkzuGW8HnVlraUbzAgKlcI+GmWWhDhUfWeYxH1G1hkSqdAsnLq8VzkrrByLlGlPjDC8\/LvAyeYhDjvM5y7s0dORYDD\/kl3DmclWrSKxKT0ZU77XyrAwLcXWhUOt2MC1bYNXipTxQ+vDDKwt8mAHhGOQWQbCSziIpmCg6NfBSstgeKxKV3US3flopN5wKeIU4ElZBuwT3EBAfIsj96YZJVw3GHjUTUazmnDkF8FzcU+Eyn0vrl7WT25pLqzSFWiUZjk\/1OfVCzYMjMSgt4BUTqkxHJVwOBQPTcuaEwGvnCsJPfdPMsYK9cvBEwFeFe54A6HPce1tUz25JM\/T6mG+wA7adOR3VGzpTZE4jExKoGeeAGiQDQO0B\/8QoXgorD09U5nomtVxDOAAg+3HOh3lWZfhpNKhZr1aSUBWzvLxkHGW+K7GP2Fx3dwfAH+5PjCo3IFFDKIrwb85JLTRUoiR4Y0XAEDiqamWJVCn+qlLcXMLKA+cfwU\/OSYBFDvcnRrUbOuYeDxi3lgAPLaIqbWE9QA+k+ulXtba0gIduDwGc\/s0SHIOK3Y2a\/U4O+CdGlRsQ98RaLveQ5pWGFHhKmyweqIvCwENBp6q1JezxbuTBtAWqF3irdRBPxM4c+tuyMEnN4V7C8nMaYqrnLuFIJQgJpdkUzBFVK4tXBQYBZhrkWvmEzuQgqryLcebA35YFF\/Imj9NIulEbDWBtQ\/gm+5XWqcWMqVpVWsCDZZLWk+G2u7cbXFEadnLgb8viEn6WihCg3NwDeHV3jLWo54EnIpABr\/aUkOrpq55ZC6CvyghozDCDKqd10exYSqOo7TzBYTpn11k0IN\/xNY5yGv6aTxQnBB6rXOsX4F3cqPNPFaRrq54K+J2tkqlobtUuqMEz1ZAskHmNm2DS+3g6mnXm6MAjz+tYkNmBMxN38Q3FrKXmt8CqfZYC8OxA+1F7RkN23eRQFismynyWPAPgSzXsR5Ep1tNppfMXlg47szLVTy9wsA5SeCnwNKLLk6HKJtPz4DGAiEisPAOq94RE5cw5gP\/ovunmu1Fn1l8K\/SgSO9CEGvwC8gwzXo902Bt3C01hUKjLjKq1JVUl5cIRMfTFJhsWIzLDKAw6cwDgLeZVOdLAvYGGqY5ob5NfMCGdH\/AFz0GXxCCxf7tlRSV8wqInBd7Md9q2Ju4JGn5Oy8D2X8+R6pU3aCRbqWNFZ2RwUjMdlvxpgU9hh9yMKT9EQwoWd3cKqn2l\/sudOR3wlIgcEvs+DaKqL+o1EFZQ++7L3\/7p97+Zt2rAgb7VMeRi6pTqoYYYeGG92dTCUPghKlN1GEmonrhI0X3haTjoZ64VKHK1fv749s3dir\/Ltn91hgXMKV3Ac5SEtXelUN3GfEShO1fgp1cAMo3ydfKsQkNXaVyR3uW4Oqr\/\/q7Wx2+ODzxOI7ptYY9KNDhVADyTtxmDsDvSDaqtd6paXTJVNG2AO3rWE2av7CDdSnOfVAXnyrTm8a9v68\/5L2U7HPBgonZh8qmlIahQcJxvJu9xgaR\/265c1doypEpyoFLbj5dhKkiK61WH\/7bsSnKuaFyeqp0c59uyK8iVo3F04Nf6tuzhZVO1kqoONPuXbnJNsgF\/o7IBf6OyAX+jsgF\/o7IBf6OyAX+jsgF\/o7K9gXOVqtYFvn\/pQrny91GP\/pbtwqX2Ixzzu9K3kekFfwOpMxWDEKV36m\/X4TfsurRpVf4bxMUfBVfDGrP3Xhzw9iMc8dICHxvAj4bAx2TwkwJN03yISqSW9674aQxjQom\/q8m5ghrkM42F9lefhVCOcp6BHvSMvkEun\/drB3BNWQd4\/AhH2kAmN7F\/1aIQV1co0DPGqLYI14lR6H+j1usr5lM+nEigCj4rQJhB8sAN8mmH6ZByWj41U+Uk3X55wNuPcPQC3xL5iEwEfxN4C7QEHre22oyaEPhisSYjkawCknEaVVb6T0dcCvB9SzEENYpGnAAhibeoHmJPW3QkXCfVWycER6ptk2WlYFrIrSqRUq8OJscEHgp+HnOpGwV8hIa5ZDi40FDWQJz+hf1hXznIPrXJN8NR4iUCr5pO4tWh5PjAV5X5s\/J8ny\/rZoiK+nCp5f0ZdUXpqQ3gsbJnNGCGSIrpK3NerStHBd6Mwt1YqI07gJ+UAJidmuaA9yTO54u6pA\/NFMejJNp23cDD9Wi09lFz2Deo3qjgQHfBbtp1QvXVQj+dn3UhmSx1zV898KoKOvFINaRdRaLZL9yNUlXGcHLIWz07VOyOqjwNhCxzMDkB8IVCONB73Y7zwFcGsr2xVjIDPI2nUqXshW7\/0tXaamEivAHg42BFWKQl30H186gHaunWRFVocqxk\/gGSHBMPrxt4w5WdkGQa2jk2KrSdGivkQLE0f82Ab12Bu7H6+wK4hpwEeHmWGZq3Qw2BKhzM+venRiud3qtiy2mIyBTAsA7LarwI+saCWC+Uk0z1NgY9bdjsGYeI+FKuzojUaxU1JQWel1cLqIO2FnsGsQ4cvEjg7S88n9+1vwcWindsTNEnVbn2bS1Rp1ktpfpwfg9AldSejuI0MOcuEHj7C8\/nduWRt3P+6aR6fl4gJakCU5lVEN8ReaIKIZbc5Rbhd67utCMJfpF5dRhZB3j8hedTaGZ22rnZhXxQ7xnwOJXnb6LYNiO7u\/5uVAV7EBEE9Z5QTg2nA9Oi2gFcQdYB3v7C817ge3rwFJbMmJJsWy0UDR2cg7BLqCo0cLoIevTYoBezMr5JbLg84EeXMhlHmFT3CictinOgCoBHXtYbR0p1qav6ryHw4RSpGkHkBj\/JEPCYD5dJ9UuWSva3ZFpJ\/3KsE6qfvlBv7R8gA47nRJATMLYh1+sZD8s30cQwKz+vHnjxeh6WyvGptcwBr1VMMMwqkQHNUbwFXmZ0LG+LLzN9rBxcIs00vV438NDR+lCpqoSMBqtK+FmQ6RKzgdoKVDHPh03D4K6VQ7IQ1UnSXX+Ph8hlwAd9nyZ2p6HwrvSygJq5zELwzAaxKipQJGlD9WYWsOrcdV507cCrnj0jEzCWhV2IAG+YzcIc4h0tG1TZSalzwLtbo2NuDFUtqNAcqrHjyoEn3Jk6ZyXabh54VZhdatg8XfWW6gFWvlORtk4D1RGswzhfXD3wvGQGeByh5iqe+zE8WPMQUdWe\/lhRfTfw2T6yBNJCjrG7qw5\/\/cMdrWHCy3BXsBd1YxYiTBEAPQTBIUf7QRYoDZioMbtTE9NdvEI21Cpom1W5V4eQ0wAPLbBDKHAMeUqKNrZ4UKHKnIbKDWV3R+gMtCg\/tGEZWx3Ydqq7E7y5auDVgBNEKYG+AOQZ8EH7qPrfGHaGnygjB94grUFXpS8HtValB2+s9VaAZ1cT3tVxkaAI3jnVG+ANFHA2LFcuaDNQFL09paBPHEXgsmJ3r8kOGQR4Psm8OowcF3hiPd0LZ2oe7oVGH6qiBTMbxi85aTJnAHjXopW9nD2AezJiiuWNyeUQsg7w35UXL158OvvdOQC9UhE0UaIFDWMcTBjLcHs5oyiYEbVbWqpnoyhdKA2q2pV3r44h4J5CGaJbzKUArz59g4nsdih6XQo3Hdm7nDEeJVQx0034gU96+yzwU9+GlmE7OOUPZRNlPKuzg4htaxcEfOdSzIi+qa4y\/okGQ\/UwFMzBzsBA4Qk5x6oQJ7ULEftU+RXWkOO4mtuFKfy5AK4nxwWerwtrzpUkxy7RUPRJXoyoz6ihSqyVIctUAXKamQyZY0YQ9r7Ja\/7PvDqMnA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alt=\"plot of chunk unnamed-chunk-10\"\/><\/p>\n<p>\uadf8\ub798\uc11c \ub79c\ub364 \ud3ec\ub808\uc2a4\ud2b8\ub97c \ud558\uae30 \uc804\uc5d0 \uc120\ud615\ud68c\uadc0\ub97c \ud55c \ubc88 \ub354 \ud558\uae30\ub85c \ud588\ub2e4. \uc774\ubc88\uc5d0 \ub2e4\ud56d\ud68c\uadc0\ub97c \ud558\uaca0\ub2e4.<\/p>\n<p>\uacb0\uacfc\ub294&hellip;<\/p>\n<pre><code class=\"r\">dfMAE &lt;- data.frame(rf = rep(NA, 5), lmrf = rep(NA,5), \n                    `lmrf+I` = rep(NA,5),\n                    &#39;lm2rf&#39; = rep(NA,5))\nfor (i in 1:5) {\n  Xtrain = dat[-folds[[i]], ] %&gt;% select(x1:x3) %&gt;% as.matrix\n  ytrain = dat[-folds[[i]],] %&gt;% pull(y)\n\n  Xtest = dat[folds[[i]], ] %&gt;% select(x1:x3) %&gt;% as.matrix\n  ytest = dat[folds[[i]],] %&gt;% pull(y)\n\n  fitRF &lt;- randomForest(x=Xtrain, y=ytrain)\n\n  ypred &lt;- predict(fitRF, newdata=Xtest)\n  dfMAE[i, 1] &lt;- caret::MAE(ypred, ytest)\n\n  fitLM &lt;- lm(y ~ x1, data=dat[-folds[[i]],])\n  fitRF2 &lt;- randomForest(x=Xtrain[, c(&#39;x2&#39;, &#39;x3&#39;)], y=resid(fitLM))\n  ypredLM &lt;- predict(fitLM, newdata = dat[folds[[i]],])\n  residLM &lt;- predict(fitRF2, newdata = Xtest[, c(&#39;x2&#39;, &#39;x3&#39;)])\n  ypred2 &lt;- ypredLM + residLM\n  dfMAE[i, 2] &lt;- caret::MAE(ypred2, ytest)\n\n  fitLM &lt;- lm(y ~ x1, data=dat[-folds[[i]],])\n  fitRF2 &lt;- randomForest(x=Xtrain[, c(&#39;x1&#39;, &#39;x2&#39;, &#39;x3&#39;)], y=resid(fitLM))\n  ypredLM &lt;- predict(fitLM, newdata = dat[folds[[i]],])\n  residLM &lt;- predict(fitRF2, newdata = Xtest[, c(&#39;x1&#39;, &#39;x2&#39;, &#39;x3&#39;)])\n  ypred2 &lt;- ypredLM + residLM\n  dfMAE[i, 3] &lt;- caret::MAE(ypred2, ytest)\n\n  datTrain = dat[-folds[[i]],]\n  fitLM &lt;- lm(y ~ x1, data=datTrain)\n  datTrain$resid = resid(fitLM)\n  fitLM2 &lt;- lm(resid ~ I(x3^2), datTrain)\n  datTrain$resid2 = resid(fitLM2)\n  fitRF3 &lt;- randomForest(resid2 ~ x1 + x2 + x3, datTrain)\n\n  datTest = dat[folds[[i]],]\n  ypred &lt;- predict(fitLM, newdata = datTest)\n  residpred &lt;- predict(fitLM2, newdata = datTest)\n  resid2pred &lt;- predict(fitRF3, newdata = datTest)\n\n  ypred3 &lt;- ypred + residpred + resid2pred\n  dfMAE[i, 4] &lt;- caret::MAE(ypred3, ytest)\n}\n\ndfMAE %&gt;% gather(key=&#39;key&#39;, value=&#39;value&#39;, rf:lm2rf) %&gt;%\n  ggplot(aes(x=key, y=value, col=key)) +\n  geom_boxplot() + \n  geom_point()\n<\/code><\/pre>\n<p><img src=\"data:image\/png;base64,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\" alt=\"plot of chunk unnamed-chunk-11\"\/><\/p>\n<pre><code class=\"r\">dfMAE$i = 1:5\n\ndfPlot &lt;- dfMAE %&gt;% gather(key=&#39;key&#39;, value=&#39;value&#39;, rf:lm2rf)\n\ndfPlot$key = dfPlot$key %&gt;% \n  fct_reorder(dfPlot$value)\n\ndfPlot %&gt;%\n  ggplot(aes(x=key, y=value, col=key)) +\n  geom_line(aes(group=i), col=&#39;gray20&#39;) + \n  geom_point(size=5, col=&#39;white&#39;) + \n  geom_point(size=4)\n<\/code><\/pre>\n<p><img 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alt=\"plot of chunk unnamed-chunk-11\"\/><\/p>\n<p>\ub098\uc058\uc9c0 \uc54a\ub2e4!<\/p>\n<h2>\uacb0\ub860<\/h2>\n<ol>\n<li>\uc120\ud615\ud68c\uadc0\ub294 <strong>\ube44\uc120\ud615\uc131<\/strong>\uc5d0 \ucde8\uc57d\ud558\uace0, \ub79c\ub364 \ud3ec\ub808\uc2a4\ud2b8\ub294 <strong>\uc678\uc0bd<\/strong>\uc5d0 \ucde8\uc57d\ud558\ub2e4.<\/li>\n<li>\uc774 \ub458\uc744 \ud569\uce60 \uc218 \uc788\ub2e4!<\/li>\n<\/ol>\n<h3>\uc8fc\uc758!<\/h3>\n<ul>\n<li>\ud558\uc9c0\ub9cc \uc704\uc758 \ubc29\ubc95\uc740 \uc804\uccb4 \ub370\uc774\ud130\ub97c \ud1b5\ud574 \\(y\\) \uc640 \\(x_1\\) , \\(x_2\\) , \\(x_3\\) \uc758 \uad00\uacc4\ub97c \ucd94\uc815\ud588\uc73c\ubbc0\ub85c, \ubc18\uce59\uc774\ub77c\uace0 \ubcfc \uc218 \uc788\ub2e4. \ub418\ub3c4\ub85d <strong>\uc774\ub860<\/strong>\uc801\uc778 \uadfc\uac70\ub97c \ud1b5\ud574 \uc678\uc0bd \uac00\ub2a5\ud55c \uc120\ud615 \uad00\uacc4\ub97c \uc0dd\uac01\ud558\ub294 \uac83\uc774 \uc88b\uc744 \uac83 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\uc5c6\ub2e4. \ub2e4\uc2dc \ub9d0\ud574 \uae30\uc6b8\uae30\uac00 0\uc774 \uc544\ub2cc \uc9c1\uc120\uc744 \ub79c\ub364\ud3ec\ub808\uc2a4\ud2b8\ub85c \ud559\uc2b5\ud560 \uc218\ub3c4 \uc788\uaca0\uc9c0\ub9cc, \uc120\ud615\ud68c\uadc0\ub97c 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