{"id":1332,"date":"2023-07-26T20:21:26","date_gmt":"2023-07-26T20:21:26","guid":{"rendered":"https:\/\/statorials.org\/ko\/r%e1%84%8b%e1%85%b4-%e1%84%80%e1%85%a1%e1%84%8c%e1%85%ae%e1%86%bc-%e1%84%8e%e1%85%ac%e1%84%89%e1%85%a9-%e1%84%8c%e1%85%a6%e1%84%80%e1%85%a9%e1%86%b8\/"},"modified":"2023-07-26T20:21:26","modified_gmt":"2023-07-26T20:21:26","slug":"r%e1%84%8b%e1%85%b4-%e1%84%80%e1%85%a1%e1%84%8c%e1%85%ae%e1%86%bc-%e1%84%8e%e1%85%ac%e1%84%89%e1%85%a9-%e1%84%8c%e1%85%a6%e1%84%80%e1%85%a9%e1%86%b8","status":"publish","type":"post","link":"https:\/\/statorials.org\/ko\/r%e1%84%8b%e1%85%b4-%e1%84%80%e1%85%a1%e1%84%8c%e1%85%ae%e1%86%bc-%e1%84%8e%e1%85%ac%e1%84%89%e1%85%a9-%e1%84%8c%e1%85%a6%e1%84%80%e1%85%a9%e1%86%b8\/","title":{"rendered":"R\uc5d0\uc11c \uac00\uc911 \ucd5c\uc18c \uc81c\uacf1 \ud68c\uadc0\ub97c \uc218\ud589\ud558\ub294 \ubc29\ubc95"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ko\/\u1109\u1165\u11ab\u1112\u1167\u11bc-\u1112\u116c\u1100\u1171-\u1100\u1161\u110c\u1165\u11bc\/\" target=\"_blank\" rel=\"noopener\">\uc120\ud615 \ud68c\uadc0 \ubd84\uc11d\uc758 \uc8fc\uc694 \uac00\uc815<\/a> \uc911 \ud558\ub098\ub294 <a href=\"https:\/\/statorials.org\/ko\/\u110c\u1161\u11ab\u110b\u1167\u1106\u116e\u11af\/\" target=\"_blank\" rel=\"noopener\">\uc794\ucc28\uac00<\/a> \uc608\uce21 \ubcc0\uc218\uc758 \uac01 \uc218\uc900\uc5d0\uc11c \ub4f1\ubd84\uc0b0\uc73c\ub85c \ubd84\ud3ec\ub41c\ub2e4\ub294 \uac83\uc785\ub2c8\ub2e4. \uc774 \uac00\uc815\uc744 <strong>\ub4f1\ubd84\uc0b0\uc131(homoscedasticity)<\/strong> \uc774\ub77c\uace0 \ud569\ub2c8\ub2e4.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\uc774 \uac00\uc815\uc774 \uc874\uc911\ub418\uc9c0 \uc54a\uc73c\uba74 \uc794\ucc28\uc5d0 <a href=\"https:\/\/statorials.org\/ko\/\u110b\u1175\u1107\u116e\u11ab\u1109\u1161\u11ab\u1109\u1165\u11bc-\u1112\u116c\u1100\u1171\/\" target=\"_blank\" rel=\"noopener\">\uc774\ubd84\uc0b0\uc131\uc774<\/a> \uc874\uc7ac\ud55c\ub2e4\uace0 \ud569\ub2c8\ub2e4. \uc774\ub7f0 \uc77c\uc774 \ubc1c\uc0dd\ud558\uba74 \ud68c\uadc0 \uacb0\uacfc\ub97c \uc2e0\ub8b0\ud560 \uc218 \uc5c6\uac8c \ub429\ub2c8\ub2e4.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\uc774 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \ud55c \uac00\uc9c0 \ubc29\ubc95\uc740 <strong>\uac00\uc911\uce58 \ucd5c\uc18c \uc81c\uacf1 \ud68c\uadc0\ub97c<\/strong> \uc0ac\uc6a9\ud558\ub294 \uac83\uc785\ub2c8\ub2e4. \uc774\ub294 \uc624\ub958 \ubd84\uc0b0\uc774 \ub0ae\uc740 <a href=\"https:\/\/statorials.org\/ko\/\u1110\u1169\u11bc\u1100\u1168\u110b\u1166\u1109\u1165\u110b\u1174-\u1100\u116a\u11ab\u110e\u1161\u11af\/\" target=\"_blank\" rel=\"noopener\">\uad00\uce21\uce58<\/a> \uac00 \uc624\ub958 \ubd84\uc0b0\uc774 \ud070 \uad00\uce21\uce58\uc5d0 \ube44\ud574 \ub354 \ub9ce\uc740 \uc815\ubcf4\ub97c \ud3ec\ud568\ud558\uae30 \ub54c\ubb38\uc5d0 \ub354 \ub9ce\uc740 \uac00\uc911\uce58\ub97c \ubc1b\ub3c4\ub85d \uad00\uce21\uce58\uc5d0 \uac00\uc911\uce58\ub97c \ud560\ub2f9\ud558\ub294 \uac83\uc785\ub2c8\ub2e4.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\uc774 \ud29c\ud1a0\ub9ac\uc5bc\uc5d0\uc11c\ub294 R\uc5d0\uc11c \uac00\uc911\uce58 \ucd5c\uc18c \uc81c\uacf1 \ud68c\uadc0\ub97c \uc218\ud589\ud558\ub294 \ubc29\ubc95\uc5d0 \ub300\ud55c \ub2e8\uacc4\ubcc4 \uc608\ub97c \uc81c\uacf5\ud569\ub2c8\ub2e4.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>1\ub2e8\uacc4: \ub370\uc774\ud130 \uc0dd\uc131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\ub2e4\uc74c \ucf54\ub4dc\ub294 16\uba85\uc758 \ud559\uc0dd\uc5d0 \ub300\ud55c \ud559\uc2b5 \uc2dc\uac04\uacfc \ud574\ub2f9 \uc2dc\ud5d8 \uc810\uc218\ub97c \ud3ec\ud568\ud558\ub294 \ub370\uc774\ud130 \ud504\ub808\uc784\uc744 \uc0dd\uc131\ud569\ub2c8\ub2e4.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>df &lt;- data.frame(hours=c(1, 1, 2, 2, 2, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 8),\n                 score=c(48, 78, 72, 70, 66, 92, 93, 75, 75, 80, 95, 97, 90, 96, 99, 99))\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>2\ub2e8\uacc4: \uc120\ud615 \ud68c\uadc0 \uc218\ud589<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\ub2e4\uc74c\uc73c\ub85c, <strong>lm()<\/strong> \ud568\uc218\ub97c \uc0ac\uc6a9\ud558\uc5ec \uc2dc\uac04\uc744 \uc608\uce21 \ubcc0\uc218\ub85c \uc0ac\uc6a9\ud558\uace0 \uc810\uc218 <a href=\"https:\/\/statorials.org\/ko\/\u1107\u1167\u11ab\u1109\u116e-\u1109\u1165\u11af\u1106\u1167\u11bc-\u110b\u1173\u11bc\u1103\u1161\u11b8\/\" target=\"_blank\" rel=\"noopener\">\ub97c \uc751\ub2f5 \ubcc0\uc218<\/a> \ub85c \uc0ac\uc6a9\ud558\ub294 <a href=\"https:\/\/statorials.org\/ko\/\u1109\u1165\u11ab\u1112\u1167\u11bc-\u1112\u116c\u1100\u1171-1\/\" target=\"_blank\" rel=\"noopener\">\uac04\ub2e8\ud55c \uc120\ud615 \ud68c\uadc0 \ubaa8\ub378\uc744<\/a> \ud53c\ud305\ud569\ub2c8\ub2e4.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit simple linear regression model\n<\/span>model &lt;- lm(score ~ hours, data = df)\n\n<span style=\"color: #008080;\">#view summary of model\n<\/span>summary(model)\n\nCall:\nlm(formula = score ~ hours, data = df)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-17,967 -5,970 -0.719 7,531 15,032 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 60,467 5,128 11,791 1.17e-08 ***\nhours 5,500 1,127 4,879 0.000244 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 9.224 on 14 degrees of freedom\nMultiple R-squared: 0.6296, Adjusted R-squared: 0.6032 \nF-statistic: 23.8 on 1 and 14 DF, p-value: 0.0002438\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>3\ub2e8\uacc4: \uc774\ubd84\uc0b0\uc131 \ud14c\uc2a4\ud2b8<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\ub2e4\uc74c\uc73c\ub85c, \uc774\ubd84\uc0b0\uc131\uc744 \uc2dc\uac01\uc801\uc73c\ub85c \ud655\uc778\ud558\uae30 \uc704\ud574 \uc794\ucc28\uc640 \uc801\ud569\uce58\uc758 \ud50c\ub86f\uc744 \ub9cc\ub4ed\ub2c8\ub2e4.<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create residual vs. fitted plot\n<\/span>plot( <span style=\"color: #3366ff;\">fitted<\/span> (model), <span style=\"color: #3366ff;\">resid<\/span> (model), xlab=' <span style=\"color: #008000;\">Fitted Values<\/span> ', ylab=' <span style=\"color: #008000;\">Residuals<\/span> ')\n\n<span style=\"color: #008080;\">#add a horizontal line at 0 \n<\/span>abline(0,0)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13025 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/wls1.png\" alt=\"\" width=\"429\" height=\"391\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\uadf8\ub798\ud504\uc5d0\uc11c \uc794\ucc28\uac00 &#8220;\uc6d0\ubfd4&#8221; \ubaa8\uc591\uc744 \uac16\uace0 \uc788\uc74c\uc744 \uc54c \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc794\ucc28\ub294 \uadf8\ub798\ud504 \uc804\uccb4\uc5d0 \ub4f1\ubd84\uc0b0\uc73c\ub85c \ubd84\ud3ec\ub418\uc5b4 \uc788\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\uc774\ubd84\uc0b0\uc131\uc744 \uacf5\uc2dd\uc801\uc73c\ub85c \ud14c\uc2a4\ud2b8\ud558\uae30 \uc704\ud574 Breusch-Pagan \ud14c\uc2a4\ud2b8\ub97c \uc218\ud589\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load lmtest package\n<\/span><span style=\"color: #993300;\">library<\/span> (lmtest)\n\n<span style=\"color: #008080;\">#perform Breusch-Pagan test<\/span>\nbptest(model)\n\n\tstudentized Breusch-Pagan test\n\ndata: model\nBP = 3.9597, df = 1, p-value = 0.0466\n<\/strong><\/pre>\n<p> Breusch-Pagan \ud14c\uc2a4\ud2b8\ub294 <span style=\"color: #000000;\">\ub2e4\uc74c\uacfc \uac19\uc740 \uadc0\ubb34 \uac00\uc124\uacfc \ub300\ub9bd<\/span> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/ko\/\u1100\u1161\u1109\u1165\u11af-\u1100\u1165\u11b7\u110c\u1165\u11bc-1\/\" target=\"_blank\" rel=\"noopener\">\uac00\uc124\uc744<\/a><\/span> \uc0ac\uc6a9\ud569\ub2c8\ub2e4.<\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\uadc0\ubb34 \uac00\uc124(H <sub>0<\/sub> ):<\/strong> \ub4f1\ubd84\uc0b0\uc131\uc774 \uc874\uc7ac\ud569\ub2c8\ub2e4(\uc794\ucc28\uac00 \ub4f1\ubd84\uc0b0\uc73c\ub85c \ubd84\ud3ec\ub428).<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\ub300\ub9bd \uac00\uc124( <sub>HA<\/sub> ):<\/strong> \uc774\ubd84\uc0b0\uc131\uc774 \uc874\uc7ac\ud569\ub2c8\ub2e4(\uc794\ucc28\uac00 \ub4f1\ubd84\uc0b0\uc73c\ub85c \ubd84\ud3ec\ub418\uc9c0 \uc54a\uc74c).<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\uac80\uc815\uc758 p-\uac12\uc774 <strong>0.0466<\/strong> \uc774\ubbc0\ub85c \uadc0\ubb34 \uac00\uc124\uc744 \uae30\uac01\ud558\uace0 \uc774\ubd84\uc0b0\uc131\uc774 \uc774 \ubaa8\ub378\uc5d0\uc11c \ubb38\uc81c\ub77c\ub294 \uacb0\ub860\uc744 \ub0b4\ub9b4 \uac83\uc785\ub2c8\ub2e4.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>4\ub2e8\uacc4: \uac00\uc911 \ucd5c\uc18c \uc81c\uacf1 \ud68c\uadc0 \uc218\ud589<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\uc774\ubd84\uc0b0\uc131\uc774 \uc874\uc7ac\ud558\ubbc0\ub85c \ubd84\uc0b0\uc774 \ub0ae\uc740 \uad00\uce21\uce58\uac00 \ub354 \ub9ce\uc740 \uac00\uc911\uce58\ub97c \ubc1b\ub3c4\ub85d \uac00\uc911\uce58\ub97c \uc124\uc815\ud558\uc5ec \uac00\uc911\uce58 \ucd5c\uc18c \uc81c\uacf1\uc744 \uc218\ud589\ud569\ub2c8\ub2e4.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#define weights to use\n<\/span>wt &lt;- 1 \/ lm( <span style=\"color: #3366ff;\">abs<\/span> (model$residuals) ~ model$fitted. <span style=\"color: #3366ff;\">values<\/span> )$fitted. <span style=\"color: #3366ff;\">values<\/span> ^2\n\n<span style=\"color: #008080;\">#perform weighted least squares regression\n<\/span>wls_model &lt;- lm(score ~ hours, data = df, weights=wt)\n\n<span style=\"color: #008080;\">#view summary of model\n<\/span>summary(wls_model)\n\nCall:\nlm(formula = score ~ hours, data = df, weights = wt)\n\nWeighted Residuals:\n    Min 1Q Median 3Q Max \n-2.0167 -0.9263 -0.2589 0.9873 1.6977 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 63.9689 5.1587 12.400 6.13e-09 ***\nhours 4.7091 0.8709 5.407 9.24e-05 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 1.199 on 14 degrees of freedom\nMultiple R-squared: 0.6762, Adjusted R-squared: 0.6531 \nF-statistic: 29.24 on 1 and 14 DF, p-value: 9.236e-05\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">\uacb0\uacfc\uc5d0\uc11c <em>\uc2dc\uac04<\/em> \uc608\uce21 \ubcc0\uc218\uc5d0 \ub300\ud55c \uacc4\uc218 \ucd94\uc815\uce58\uac00 \uc57d\uac04 \ubcc0\uacbd\ub418\uace0 \uc804\uccb4 \ubaa8\ub378 \uc801\ud569\ub3c4\uac00 \ud5a5\uc0c1\ub418\uc5c8\uc74c\uc744 \uc54c \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\uac00\uc911 \ucd5c\uc18c \uc81c\uacf1 \ubaa8\ub378\uc758 \uc794\ucc28 \ud45c\uc900 \uc624\ucc28\ub294 \uc6d0\ub798 \ub2e8\uc21c \uc120\ud615 \ud68c\uadc0 \ubaa8\ub378\uc758 <strong>9.224<\/strong> \uc640 \ube44\uad50\ud558\uc5ec <strong>1.199<\/strong> \uc785\ub2c8\ub2e4.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\uc774\ub294 \ub2e8\uc21c\uc120\ud615\ud68c\uadc0\ubaa8\ub378\ub85c \uc0dd\uc131\ud55c \uc608\uce21\uac12\uc5d0 \ube44\ud574 \uac00\uc911\ucd5c\uc18c\uc81c\uacf1\ubaa8\ub378\ub85c \uc0dd\uc131\ud55c \uc608\uce21\uac12\uc774 \uc2e4\uc81c \uad00\uce21\uac12\uc5d0 \ud6e8\uc52c \ub354 \uac00\uae5d\ub2e4\ub294 \uac83\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\uac00\uc911 \ucd5c\uc18c \uc81c\uacf1 \ubaa8\ub378\uc740 \uc6d0\ub798 \ub2e8\uc21c \uc120\ud615 \ud68c\uadc0 \ubaa8\ub378\uc758 <strong>0.6296<\/strong> \uacfc \ube44\uad50\ud558\uc5ec R-\uc81c\uacf1\uc774 <strong>0.6762<\/strong> \uc785\ub2c8\ub2e4.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\uc774\ub294 \uac00\uc911 \ucd5c\uc18c \uc81c\uacf1 \ubaa8\ub378\uc774 \ub2e8\uc21c \uc120\ud615 \ud68c\uadc0 \ubaa8\ub378\ubcf4\ub2e4 \uc2dc\ud5d8 \uc810\uc218\uc758 \ubcc0\ub3d9\uc744 \ub354 \ub9ce\uc774 \uc124\uba85\ud560 \uc218 \uc788\uc74c\uc744 \ub098\ud0c0\ub0c5\ub2c8\ub2e4.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\uc774\ub7ec\ud55c \uce21\uc815\uc740 \uac00\uc911 \ucd5c\uc18c \uc81c\uacf1 \ubaa8\ub378\uc774 \ub2e8\uc21c \uc120\ud615 \ud68c\uadc0 \ubaa8\ub378\uc5d0 \ube44\ud574 \ub370\uc774\ud130\uc5d0 \ub354 \uc798 \ub9de\ub294\ub2e4\ub294 \uac83\uc744 \ub098\ud0c0\ub0c5\ub2c8\ub2e4.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\ucd94\uac00 \ub9ac\uc18c\uc2a4<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/ko\/r\u110b\u1174-\u1103\u1161\u11ab\u1109\u116e\u11ab-\u1109\u1165\u11ab\u1112\u1167\u11bc-\u1112\u116c\u1100\u1171\/\" target=\"_blank\" rel=\"noopener\">R\uc5d0\uc11c \ub2e8\uc21c \uc120\ud615 \ud68c\uadc0\ub97c \uc218\ud589\ud558\ub294 \ubc29\ubc95<\/a><br \/> <a href=\"https:\/\/statorials.org\/ko\/\u1103\u1161\u110c\u116e\u11bc-\u1109\u1165\u11ab\u1112\u1167\u11bc-\u1112\u116c\u1100\u1171-r\/\" target=\"_blank\" rel=\"noopener\">R\uc5d0\uc11c \ub2e4\uc911 \uc120\ud615 \ud68c\uadc0\ub97c \uc218\ud589\ud558\ub294 \ubc29\ubc95<\/a><br \/> <a href=\"https:\/\/statorials.org\/ko\/r\u110b\u1174-\u1107\u116e\u11ab\u110b\u1171\u1109\u116e-\u1112\u116c\u1100\u1171\/\" target=\"_blank\" rel=\"noopener\">R\uc5d0\uc11c \ubd84\uc704\uc218 \ud68c\uadc0\ub97c \uc218\ud589\ud558\ub294 \ubc29\ubc95<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\uc120\ud615 \ud68c\uadc0 \ubd84\uc11d\uc758 \uc8fc\uc694 \uac00\uc815 \uc911 \ud558\ub098\ub294 \uc794\ucc28\uac00 \uc608\uce21 \ubcc0\uc218\uc758 \uac01 \uc218\uc900\uc5d0\uc11c \ub4f1\ubd84\uc0b0\uc73c\ub85c \ubd84\ud3ec\ub41c\ub2e4\ub294 \uac83\uc785\ub2c8\ub2e4. \uc774 \uac00\uc815\uc744 \ub4f1\ubd84\uc0b0\uc131(homoscedasticity) \uc774\ub77c\uace0 \ud569\ub2c8\ub2e4. \uc774 \uac00\uc815\uc774 \uc874\uc911\ub418\uc9c0 \uc54a\uc73c\uba74 \uc794\ucc28\uc5d0 \uc774\ubd84\uc0b0\uc131\uc774 \uc874\uc7ac\ud55c\ub2e4\uace0 \ud569\ub2c8\ub2e4. \uc774\ub7f0 \uc77c\uc774 \ubc1c\uc0dd\ud558\uba74 \ud68c\uadc0 \uacb0\uacfc\ub97c \uc2e0\ub8b0\ud560 \uc218 \uc5c6\uac8c \ub429\ub2c8\ub2e4. \uc774 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \ud55c \uac00\uc9c0 \ubc29\ubc95\uc740 \uac00\uc911\uce58 \ucd5c\uc18c \uc81c\uacf1 \ud68c\uadc0\ub97c \uc0ac\uc6a9\ud558\ub294 \uac83\uc785\ub2c8\ub2e4. \uc774\ub294 \uc624\ub958 \ubd84\uc0b0\uc774 \ub0ae\uc740 \uad00\uce21\uce58 \uac00 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[],"class_list":["post-1332","post","type-post","status-publish","format-standard","hentry","category-20"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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