{"id":781,"date":"2023-07-28T18:44:38","date_gmt":"2023-07-28T18:44:38","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e4%ba%8c%e6%ac%a1%e5%9b%9e%e5%b8%b0-r\/"},"modified":"2023-07-28T18:44:38","modified_gmt":"2023-07-28T18:44:38","slug":"%e4%ba%8c%e6%ac%a1%e5%9b%9e%e5%b8%b0-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e4%ba%8c%e6%ac%a1%e5%9b%9e%e5%b8%b0-r\/","title":{"rendered":"R \u3067\u4e8c\u6b21\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">2 \u3064\u306e\u5909\u6570\u306b\u7dda\u5f62\u95a2\u4fc2\u304c\u3042\u308b\u5834\u5408\u3001\u591a\u304f\u306e\u5834\u5408\u3001 <a href=\"https:\/\/statorials.org\/ja\/r-\u3066\u3099\u306e\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30<\/a>\u3092\u4f7f\u7528\u3057\u3066\u305d\u308c\u3089\u306e\u95a2\u4fc2\u3092\u5b9a\u91cf\u5316\u3067\u304d\u307e\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5772 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadregstata1.png\" sizes=\"auto, \" srcset=\"\" alt=\"\u7dda\u5f62\u95a2\u4fc2\u306e\u4f8b\" width=\"442\" height=\"318\"><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3060\u3057\u30012 \u3064\u306e\u5909\u6570\u306b\u4e8c\u6b21\u95a2\u4fc2\u304c\u3042\u308b\u5834\u5408\u306f\u3001<strong>\u4e8c\u6b21\u56de\u5e30\u3092<\/strong>\u4f7f\u7528\u3057\u3066\u305d\u308c\u3089\u306e\u95a2\u4fc2\u3092\u5b9a\u91cf\u5316\u3067\u304d\u307e\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5773 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadregstata2.png\" sizes=\"auto, \" srcset=\"\" alt=\"\u4e8c\u6b21\u95a2\u4fc2\u306e\u4f8b\" width=\"441\" height=\"319\"><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u3067 2 \u6b21\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><strong>\u4f8b: R \u306e\u4e8c\u6b21\u56de\u5e30<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u52b4\u50cd\u6642\u9593\u3068\u5831\u544a\u3055\u308c\u305f\u5e78\u798f\u5ea6\u3068\u306e\u95a2\u4fc2\u3092\u7406\u89e3\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002 11 \u4eba\u306e\u7570\u306a\u308b\u4eba\u3005\u306e\u9031\u306e\u52b4\u50cd\u6642\u9593\u6570\u3068\u5831\u544a\u3055\u308c\u305f\u5e78\u798f\u5ea6 (0 \u304b\u3089 100 \u306e\u30b9\u30b1\u30fc\u30eb) \u306b\u95a2\u3059\u308b\u6b21\u306e\u30c7\u30fc\u30bf\u304c\u3042\u308a\u307e\u3059\u3002<\/span> <\/p>\n<p data-slot-rendered-dynamic=\"true\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6954 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadti1.png\" sizes=\"auto, \" srcset=\"\" alt=\"\" width=\"150\" height=\"248\"><\/p>\n<p> <span style=\"color: #000000;\">R \u3067\u4e8c\u6b21\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u8fd1\u4f3c\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u624b\u9806\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 1: \u30c7\u30fc\u30bf\u3092\u5165\u529b\u3057\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u307e\u305a\u3001\u30c7\u30fc\u30bf\u3092\u542b\u3080\u30c7\u30fc\u30bf \u30d5\u30ec\u30fc\u30e0\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#createdata<\/span>\ndata &lt;- data.frame(hours=c(6, 9, 12, 14, 30, 35, 40, 47, 51, 55, 60),\n                   happiness=c(14, 28, 50, 70, 89, 94, 90, 75, 59, 44, 27))\n<span style=\"color: #008080;\">\n#viewdata<\/span> \ndata\n\n   hours happiness\n1 6 14\n2 9 28\n3 12 50\n4 14 70\n5 30 89\n6 35 94\n7 40 90\n8 47 75\n9 51 59\n10 55 44\n11 60 27\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 2: \u30c7\u30fc\u30bf\u3092\u8996\u899a\u5316\u3057\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u30c7\u30fc\u30bf\u3092\u8996\u899a\u5316\u3059\u308b\u305f\u3081\u306e\u5358\u7d14\u306a\u6563\u5e03\u56f3\u3092\u4f5c\u6210\u3057\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create scatterplot<\/span>\nplot(data$hours, data$happiness, pch=16)<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8616 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadratiquer1.png\" alt=\"R \u306e\u6563\u5e03\u56f3\" width=\"370\" height=\"336\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u30c7\u30fc\u30bf\u304c\u7dda\u5f62\u30d1\u30bf\u30fc\u30f3\u306b\u5f93\u3063\u3066\u3044\u306a\u3044\u3053\u3068\u304c\u306f\u3063\u304d\u308a\u3068\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 3: \u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u5f53\u3066\u306f\u3081\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u5f53\u3066\u306f\u3081\u3066\u3001\u30c7\u30fc\u30bf\u306b\u3069\u306e\u7a0b\u5ea6\u9069\u5408\u3059\u308b\u304b\u3092\u78ba\u8a8d\u3057\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit linear model<\/span>\nlinearModel &lt;- lm(happiness ~ hours, data=data)\n\n<span style=\"color: #008080;\">#view model summary<\/span>\nsummary(linearModel)\n\nCall:\nlm(formula = happiness ~ hours)\n\nResiduals:\n   Min 1Q Median 3Q Max \n-39.34 -21.99 -2.03 23.50 35.11 \n\nCoefficients:\n            Estimate Std. Error t value Pr(&gt;|t|)  \n(Intercept) 48.4531 17.3288 2.796 0.0208 *\nhours 0.2981 0.4599 0.648 0.5331  \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 28.72 on 9 degrees of freedom\nMultiple R-squared: 0.0446, Adjusted R-squared: -0.06156 \nF-statistic: 0.4201 on 1 and 9 DF, p-value: 0.5331\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u8907\u6570\u306e R \u4e8c\u4e57\u5024\u3067\u793a\u3055\u308c\u308b\u3088\u3046\u306b\u3001\u30e2\u30c7\u30eb\u306b\u3088\u3063\u3066\u8aac\u660e\u3055\u308c\u308b\u5e78\u798f\u5ea6\u306e\u5408\u8a08\u5206\u6563\u306f\u308f\u305a\u304b<strong>4.46%<\/strong>\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 4: \u4e8c\u6b21\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u5f53\u3066\u306f\u3081\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306b\u3001\u4e8c\u6b21\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u5f53\u3066\u306f\u3081\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create a new variable for hours <sup>2<\/sup><\/span>\ndata$hours2 &lt;- data$hours^2\n\n<span style=\"color: #008080;\">#fit quadratic regression model<\/span>\nquadraticModel &lt;- lm(happiness ~ hours + hours2, data=data)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(quadraticModel)\n\nCall:\nlm(formula = happiness ~ hours + hours2, data = data)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-6.2484 -3.7429 -0.1812 1.1464 13.6678 \n\nCoefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) -18.25364 6.18507 -2.951 0.0184 *  \nhours 6.74436 0.48551 13.891 6.98e-07 ***\nhours2 -0.10120 0.00746 -13.565 8.38e-07 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 6.218 on 8 degrees of freedom\nMultiple R-squared: 0.9602, Adjusted R-squared: 0.9502 \nF-statistic: 96.49 on 2 and 8 DF, p-value: 2.51e-06\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u30e2\u30c7\u30eb\u306b\u3088\u3063\u3066\u8aac\u660e\u3055\u308c\u308b\u5e78\u798f\u5ea6\u306e\u5408\u8a08\u5206\u6563\u306f<b>96.02%<\/b>\u306b\u5897\u52a0\u3057\u307e\u3057\u305f\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u3092\u4f7f\u7528\u3057\u3066\u3001\u30e2\u30c7\u30eb\u304c\u30c7\u30fc\u30bf\u306b\u3069\u306e\u7a0b\u5ea6\u9069\u5408\u3057\u3066\u3044\u308b\u304b\u3092\u8996\u899a\u5316\u3067\u304d\u307e\u3059\u3002<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create sequence of hour values<\/span>\nhourValues &lt;- seq(0, 60, 0.1)\n\n<span style=\"color: #008080;\">#create list of predicted happiness levels using quadratic model\n<\/span>happinessPredict &lt;- predict(quadraticModel, list(hours=hourValues, hours2=hourValues^2))\n\n<span style=\"color: #008080;\">#create scatterplot of original data values\n<\/span>plot(data$hours, data$happiness, pch=16)\n<span style=\"color: #008080;\">#add predicted lines based on quadratic regression model<\/span>\nlines(hourValues, happinessPredict, col='blue')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8619 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadratiquer2.png\" alt=\"R \u306e\u4e8c\u6b21\u56de\u5e30\u6563\u5e03\u56f3\" width=\"399\" height=\"368\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u4e8c\u6b21\u56de\u5e30\u76f4\u7dda\u304c\u30c7\u30fc\u30bf\u5024\u306b\u975e\u5e38\u306b\u3088\u304f\u9069\u5408\u3057\u3066\u3044\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u30b9\u30c6\u30c3\u30d7 5: \u4e8c\u6b21\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u89e3\u91c8\u3057\u307e\u3059\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u524d\u306e\u30b9\u30c6\u30c3\u30d7\u3067\u3001\u4e8c\u6b21\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u7d50\u679c\u304c\u6b21\u306e\u3088\u3046\u306b\u306a\u308b\u3053\u3068\u3092\u898b\u307e\u3057\u305f\u3002<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>Coefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) -18.25364 6.18507 -2.951 0.0184 *  \nhours 6.74436 0.48551 13.891 6.98e-07 ***\nhours2 -0.10120 0.00746 -13.565 8.38e-07 ***\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u3053\u3053\u3067\u793a\u3057\u305f\u4fc2\u6570\u306b\u57fa\u3065\u3044\u3066\u3001\u8abf\u6574\u3055\u308c\u305f\u4e8c\u6b21\u56de\u5e30\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5e78\u798f\u5ea6 = -0.1012 (\u6642\u9593) <sup>2<\/sup> + 6.7444 (\u6642\u9593) \u2013 18.2536<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u65b9\u7a0b\u5f0f\u3092\u4f7f\u7528\u3059\u308b\u3068\u3001\u9031\u3042\u305f\u308a\u306e\u52b4\u50cd\u6642\u9593\u3092\u8003\u616e\u3057\u305f\u500b\u4eba\u306e\u4e88\u6e2c\u5e78\u798f\u5ea6\u3092\u898b\u3064\u3051\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u3001\u9031\u306b 60 \u6642\u9593\u50cd\u304f\u4eba\u306e\u5e78\u798f\u5ea6\u306f<strong>22.09<\/strong>\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p data-slot-rendered-dynamic=\"true\"><span style=\"color: #000000;\">\u5e78\u798f\u5ea6 = -0.1012(60) <sup>2<\/sup> + 6.7444(60) \u2013 18.2536 = 22.09<\/span><\/p>\n<p><span style=\"color: #000000;\">\u9006\u306b\u3001\u9031\u306b 30 \u6642\u9593\u50cd\u304f\u4eba\u306e\u5e78\u798f\u5ea6\u306f<strong>92.99<\/strong>\u306b\u306a\u308b\u306f\u305a\u3067\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5e78\u798f\u5ea6 = -0.1012(30) <sup>2<\/sup> + 6.7444(30) \u2013 18.2536 = 92.99<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>2 \u3064\u306e\u5909\u6570\u306b\u7dda\u5f62\u95a2\u4fc2\u304c\u3042\u308b\u5834\u5408\u3001\u591a\u304f\u306e\u5834\u5408\u3001 \u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u3092\u4f7f\u7528\u3057\u3066\u305d\u308c\u3089\u306e\u95a2\u4fc2\u3092\u5b9a\u91cf\u5316\u3067\u304d\u307e\u3059\u3002 \u305f\u3060\u3057\u30012 \u3064\u306e\u5909\u6570\u306b\u4e8c\u6b21\u95a2\u4fc2\u304c\u3042\u308b\u5834\u5408\u306f\u3001\u4e8c\u6b21\u56de\u5e30\u3092\u4f7f\u7528\u3057\u3066\u305d\u308c\u3089\u306e\u95a2\u4fc2\u3092\u5b9a\u91cf\u5316\u3067\u304d\u307e\u3059\u3002 \u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-781","post","type-post","status-publish","format-standard","hentry","category-16"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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