{"id":1719,"date":"2023-07-25T06:08:27","date_gmt":"2023-07-25T06:08:27","guid":{"rendered":"https:\/\/statorials.org\/ja\/%e6%ae%8b%e5%b7%ae%e6%a8%99%e6%ba%96%e8%aa%a4%e5%b7%ae%e3%82%92%e8%a7%a3%e9%87%88%e3%81%99%e3%82%8b%e6%96%b9%e6%b3%95\/"},"modified":"2023-07-25T06:08:27","modified_gmt":"2023-07-25T06:08:27","slug":"%e6%ae%8b%e5%b7%ae%e6%a8%99%e6%ba%96%e8%aa%a4%e5%b7%ae%e3%82%92%e8%a7%a3%e9%87%88%e3%81%99%e3%82%8b%e6%96%b9%e6%b3%95","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/%e6%ae%8b%e5%b7%ae%e6%a8%99%e6%ba%96%e8%aa%a4%e5%b7%ae%e3%82%92%e8%a7%a3%e9%87%88%e3%81%99%e3%82%8b%e6%96%b9%e6%b3%95\/","title":{"rendered":"\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee\u306e\u89e3\u91c8\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee\u306f\u3001<\/strong><a href=\"https:\/\/statorials.org\/ja\/\u7dda\u5f62\u56de\u5e30-1\/\" target=\"_blank\" rel=\"noopener\">\u56de\u5e30\u30e2\u30c7\u30eb\u304c<\/a>\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u3069\u306e\u7a0b\u5ea6\u9069\u5408\u3059\u308b\u304b\u3092\u6e2c\u5b9a\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7c21\u5358\u306b\u8a00\u3048\u3070\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u6b8b\u5dee\u306e\u6a19\u6e96\u504f\u5dee\u3092\u6e2c\u5b9a\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\">\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/span><\/p>\n<p><strong><span style=\"color: #000000;\">\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee = \u221a <span style=\"border-top: 1px solid black;\">\u03a3(y \u2013 \u0177) <sup>2<\/sup> \/df<\/span><\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u91d1\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>y:<\/strong>\u89b3\u6e2c\u5024<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u0177:<\/strong>\u4e88\u6e2c\u5024<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>df:<\/strong>\u81ea\u7531\u5ea6\u3002\u89b3\u6e2c\u5024\u306e\u5408\u8a08\u6570 \u2013 \u30e2\u30c7\u30eb \u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u306e\u5408\u8a08\u6570\u3068\u3057\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee\u304c\u5c0f\u3055\u3044\u307b\u3069\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u306f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u9069\u5408\u3057\u307e\u3059\u3002\u9006\u306b\u3001\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee\u304c\u9ad8\u304f\u306a\u308b\u307b\u3069\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u306f\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u9069\u5408\u3057\u306b\u304f\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee\u304c\u5c0f\u3055\u3044\u56de\u5e30\u30e2\u30c7\u30eb\u3067\u306f\u3001\u8fd1\u4f3c\u3055\u308c\u305f\u56de\u5e30\u76f4\u7dda\u306e\u5468\u56f2\u306b\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u304c\u5bc6\u96c6\u3057\u3066\u5b58\u5728\u3057\u307e\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15730 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate1.png\" alt=\"\" width=\"431\" height=\"322\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30e2\u30c7\u30eb\u306e<a href=\"https:\/\/statorials.org\/ja\/\u6b8b\u57fa\/\" target=\"_blank\" rel=\"noopener\">\u6b8b\u5dee<\/a>(\u89b3\u6e2c\u5024\u3068\u4e88\u6e2c\u5024\u306e\u5dee) \u306f\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee\u3082\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u9006\u306b\u3001\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee\u304c\u5927\u304d\u3044\u56de\u5e30\u30e2\u30c7\u30eb\u3067\u306f\u3001\u30c7\u30fc\u30bf \u30dd\u30a4\u30f3\u30c8\u304c\u8fd1\u4f3c\u3055\u308c\u305f\u56de\u5e30\u76f4\u7dda\u306e\u5468\u56f2\u306b\u3055\u3089\u306b\u7de9\u3084\u304b\u306b\u5206\u6563\u3055\u308c\u307e\u3059\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15731 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate2.png\" alt=\"\" width=\"445\" height=\"325\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30e2\u30c7\u30eb\u304b\u3089\u306e<a href=\"https:\/\/statorials.org\/ja\/\u6b8b\u57fa\/\" target=\"_blank\" rel=\"noopener\">\u6b8b\u5dee\u306f<\/a>\u5927\u304d\u304f\u306a\u308a\u3001\u3053\u308c\u306f\u6b8b\u5dee\u306e\u6a19\u6e96\u8aa4\u5dee\u3082\u5927\u304d\u304f\u306a\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u4f8b\u306f\u3001R \u3067\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee\u3092\u8a08\u7b97\u3057\u3066\u89e3\u91c8\u3059\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4f8b: \u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee\u306e\u89e3\u91c8<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u91cd\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u8fd1\u4f3c\u3057\u305f\u3044\u3068\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">mpg = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> (\u5909\u4f4d) + \u03b2 <sub>2<\/sub> (\u52d5\u529b)<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30e2\u30c7\u30eb\u306f\u3001\u4e88\u6e2c\u5909\u6570\u300c\u6392\u6c17\u91cf\u300d\u3068\u300c\u99ac\u529b\u300d\u3092\u4f7f\u7528\u3057\u3066\u3001\u7279\u5b9a\u306e\u8eca\u304c\u8d70\u884c\u3059\u308b\u30ac\u30ed\u30f3\u3042\u305f\u308a\u306e\u8d70\u884c\u30de\u30a4\u30eb\u6570\u3092\u4e88\u6e2c\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001\u3053\u306e\u56de\u5e30\u30e2\u30c7\u30eb\u3092 R \u306b\u9069\u5408\u3055\u305b\u308b\u65b9\u6cd5\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load built-in <em>mtcars<\/em> dataset<\/span>\ndata(mtcars)\n\n<span style=\"color: #008080;\">#fit regression model\n<\/span>model &lt;- lm(mpg~disp+hp, data=mtcars)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model)\n\nCall:\nlm(formula = mpg ~ disp + hp, data = mtcars)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-4.7945 -2.3036 -0.8246 1.8582 6.9363 \n\nCoefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 30.735904 1.331566 23.083 &lt; 2nd-16 ***\navailable -0.030346 0.007405 -4.098 0.000306 ***\nhp -0.024840 0.013385 -1.856 0.073679 .  \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: <span style=\"color: #008000;\">3.127<\/span> on 29 degrees of freedom\nMultiple R-squared: 0.7482, Adjusted R-squared: 0.7309 \nF-statistic: 43.09 on 2 and 29 DF, p-value: 2.062e-09<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u7d50\u679c\u306e\u4e0b\u90e8\u306b\u5411\u304b\u3063\u3066\u3001\u3053\u306e\u30e2\u30c7\u30eb\u306e\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee\u304c<strong>3.127<\/strong>\u3067\u3042\u308b\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u308c\u306f\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u304c\u81ea\u52d5\u8eca\u306e mpg \u3092\u5e73\u5747\u8aa4\u5dee\u7d04 3,127 \u3067\u4e88\u6e2c\u3057\u3066\u3044\u308b\u3053\u3068\u3092\u793a\u3057\u3066\u3044\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee\u3092\u4f7f\u7528\u3057\u3066\u30e2\u30c7\u30eb\u3092\u6bd4\u8f03\u3059\u308b<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee\u306f\u3001\u3055\u307e\u3056\u307e\u306a\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u9069\u5408\u3092\u6bd4\u8f03\u3059\u308b\u5834\u5408\u306b\u7279\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u305f\u3068\u3048\u3070\u30012 \u3064\u306e\u7570\u306a\u308b\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u5f53\u3066\u306f\u3081\u3066\u81ea\u52d5\u8eca\u306e\u71c3\u8cbb\u3092\u4e88\u6e2c\u3059\u308b\u3068\u3057\u307e\u3059\u3002\u5404\u30e2\u30c7\u30eb\u306e\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u30e2\u30c7\u30eb 1 \u306e\u6b8b\u7559\u6a19\u6e96\u8aa4\u5dee: <strong>3.127<\/strong><\/span><\/li>\n<li><span style=\"color: #000000;\">\u30e2\u30c7\u30eb 2 \u306e\u6b8b\u7559\u6a19\u6e96\u8aa4\u5dee: <strong>5.657<\/strong><\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u30e2\u30c7\u30eb 1 \u306f\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee\u304c\u4f4e\u3044\u305f\u3081\u3001\u30e2\u30c7\u30eb 2 \u3088\u308a\u3082\u30c7\u30fc\u30bf\u306b\u3088\u304f\u9069\u5408\u3057\u307e\u3059\u3002 \u3057\u305f\u304c\u3063\u3066\u3001\u30e2\u30c7\u30eb 1 \u3092\u4f7f\u7528\u3057\u3066\u81ea\u52d5\u8eca\u306e\u8d70\u884c\u901f\u5ea6\u3092\u4e88\u6e2c\u3059\u308b\u3053\u3068\u3092\u597d\u307f\u307e\u3059\u3002\u3053\u308c\u306f\u3001\u30e2\u30c7\u30eb 1 \u3067\u884c\u308f\u308c\u308b\u4e88\u6e2c\u304c\u3001\u89b3\u6e2c\u3055\u308c\u305f\u81ea\u52d5\u8eca\u306e\u8d70\u884c\u901f\u5ea6\u306e\u5024\u306b\u8fd1\u3044\u305f\u3081\u3067\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u8ffd\u52a0\u30ea\u30bd\u30fc\u30b9<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/ja\/r-\u3066\u3099\u306e\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u5358\u7d14\u306a\u7dda\u5f62\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u91cd\u7dda\u5f62\u56de\u5e30r\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u91cd\u56de\u5e30\u3092\u5b9f\u884c\u3059\u308b\u65b9\u6cd5<\/a><br \/><a href=\"https:\/\/statorials.org\/ja\/\u6b8b\u7559\u75d5\u8de1\/\" target=\"_blank\" rel=\"noopener\">R \u3067\u6b8b\u5dee\u30d7\u30ed\u30c3\u30c8\u3092\u4f5c\u6210\u3059\u308b\u65b9\u6cd5<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee\u306f\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u304c\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u3069\u306e\u7a0b\u5ea6\u9069\u5408\u3059\u308b\u304b\u3092\u6e2c\u5b9a\u3059\u308b\u305f\u3081\u306b\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 \u7c21\u5358\u306b\u8a00\u3048\u3070\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u6b8b\u5dee\u306e\u6a19\u6e96\u504f\u5dee\u3092\u6e2c\u5b9a\u3057\u307e\u3059\u3002 \u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002 \u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee = \u221a \u03a3(y \u2013 \u0177) 2 \/ [&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-1719","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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