{"id":1251,"date":"2023-07-27T03:17:05","date_gmt":"2023-07-27T03:17:05","guid":{"rendered":"https:\/\/statorials.org\/ja\/r-%e3%81%ae%e5%9b%9e%e5%b8%b0%e5%87%ba%e5%8a%9b%e3%82%92%e8%a7%a3%e9%87%88%e3%81%99%e3%82%8b\/"},"modified":"2023-07-27T03:17:05","modified_gmt":"2023-07-27T03:17:05","slug":"r-%e3%81%ae%e5%9b%9e%e5%b8%b0%e5%87%ba%e5%8a%9b%e3%82%92%e8%a7%a3%e9%87%88%e3%81%99%e3%82%8b","status":"publish","type":"post","link":"https:\/\/statorials.org\/ja\/r-%e3%81%ae%e5%9b%9e%e5%b8%b0%e5%87%ba%e5%8a%9b%e3%82%92%e8%a7%a3%e9%87%88%e3%81%99%e3%82%8b\/","title":{"rendered":"R \u3067\u56de\u5e30\u51fa\u529b\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">R \u3067<a href=\"https:\/\/statorials.org\/ja\/\u91cd\u7dda\u5f62\u56de\u5e30r\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb<\/a>\u3092\u5f53\u3066\u306f\u3081\u308b\u306b\u306f\u3001 <strong>lm()<\/strong>\u30b3\u30de\u30f3\u30c9\u3092\u4f7f\u7528\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u51fa\u529b\u3092\u8868\u793a\u3059\u308b\u306b\u306f\u3001 <strong>summary()<\/strong>\u30b3\u30de\u30f3\u30c9\u3092\u4f7f\u7528\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30c1\u30e5\u30fc\u30c8\u30ea\u30a2\u30eb\u3067\u306f\u3001R \u306e\u56de\u5e30\u51fa\u529b\u306e\u5404\u5024\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002<\/span><\/p>\n<h3><strong>\u4f8b: R \u3067\u306e\u56de\u5e30\u51fa\u529b\u306e\u89e3\u91c8<\/strong><\/h3>\n<p><span style=\"color: #000000;\">\u6b21\u306e\u30b3\u30fc\u30c9\u306f\u3001\u4e88\u6e2c\u5909\u6570\u3068\u3057\u3066<em>hp<\/em> \u3001 <em>drat<\/em> \u3001 <em>wt \u3092<\/em>\u3001\u5fdc\u7b54\u5909\u6570\u3068\u3057\u3066<em>mpg \u3092<\/em>\u4f7f\u7528\u3057\u3066\u3001\u7d71\u5408\u3055\u308c\u305f<strong>mtcars<\/strong>\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u3067\u91cd\u7dda\u5f62\u56de\u5e30\u30e2\u30c7\u30eb\u3092\u8fd1\u4f3c\u3059\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;\">#fit regression model using hp, drat, and wt as predictors\n<\/span>model &lt;- lm(mpg ~ hp + drat + wt, data = mtcars)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model)\n\nCall:\nlm(formula = mpg ~ hp + drat + wt, data = mtcars)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-3.3598 -1.8374 -0.5099 0.9681 5.7078 \n\nCoefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 29.394934 6.156303 4.775 5.13e-05 ***\nhp -0.032230 0.008925 -3.611 0.001178 ** \ndrat 1.615049 1.226983 1.316 0.198755    \nwt -3.227954 0.796398 -4.053 0.000364 ***\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: 2.561 on 28 degrees of freedom\nMultiple R-squared: 0.8369, Adjusted R-squared: 0.8194 \nF-statistic: 47.88 on 3 and 28 DF, p-value: 3.768e-11\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u51fa\u529b\u5185\u306e\u5404\u5024\u3092\u89e3\u91c8\u3059\u308b\u65b9\u6cd5\u306f\u6b21\u306e\u3068\u304a\u308a\u3067\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u96fb\u8a71<\/strong><\/span><\/h3>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>Call:\nlm(formula = mpg ~ hp + drat + wt, data = mtcars)<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u3067\u306f\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u3067\u4f7f\u7528\u3057\u305f\u5f0f\u3092\u601d\u3044\u51fa\u3057\u307e\u3059\u3002\u5fdc\u7b54\u5909\u6570\u3068\u3057\u3066<strong>mpg \u3092<\/strong>\u4f7f\u7528\u3057\u3001\u4e88\u6e2c\u5909\u6570\u3068\u3057\u3066<strong>hp<\/strong> \u3001 <strong>drat<\/strong> \u3001\u304a\u3088\u3073<strong>wt<\/strong>\u3092\u4f7f\u7528\u3057\u305f\u3053\u3068\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u5404\u5909\u6570\u306f<strong>mtcars<\/strong>\u3068\u547c\u3070\u308c\u308b\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u304b\u3089\u53d6\u5f97\u3055\u308c\u307e\u3057\u305f\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u6b8b\u57fa<\/strong><\/span><\/h3>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>Residuals:\n    Min 1Q Median 3Q Max \n-3.3598 -1.8374 -0.5099 0.9681 5.7078 \n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u306b\u306f\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u304b\u3089\u306e\u6b8b\u5dee\u306e\u5206\u5e03\u306e\u6982\u8981\u304c\u8868\u793a\u3055\u308c\u307e\u3059\u3002\u6b8b\u5dee\u306f\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u89b3\u6e2c\u5024\u3068\u4e88\u6e2c\u5024\u306e\u5dee\u3067\u3042\u308b\u3053\u3068\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6700\u5c0f\u6b8b\u5dee\u306f<strong>-3.3598<\/strong> \u3001\u6b8b\u5dee\u4e2d\u592e\u5024\u306f<strong>-0.5099<\/strong> \u3001\u6700\u5927\u6b8b\u5dee\u306f<strong>5.7078<\/strong>\u3067\u3057\u305f\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u4fc2\u6570<\/strong><\/span><\/h3>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>Coefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 29.394934 6.156303 4.775 5.13e-05 ***\nhp -0.032230 0.008925 -3.611 0.001178 ** \ndrat 1.615049 1.226983 1.316 0.198755    \nwt -3.227954 0.796398 -4.053 0.000364 ***\n\n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u3053\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u306b\u306f\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u63a8\u5b9a\u4fc2\u6570\u304c\u8868\u793a\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u3089\u306e\u4fc2\u6570\u3092\u4f7f\u7528\u3057\u3066\u3001\u6b21\u306e\u63a8\u5b9a\u56de\u5e30\u5f0f\u3092\u5f62\u6210\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">mpg = 29.39 \u2013 0.03*hp + 1.62*drat \u2013 3.23*\u91cd\u91cf<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5404\u4e88\u6e2c\u5b50\u5909\u6570\u306b\u3064\u3044\u3066\u3001\u6b21\u306e\u5024\u3092\u53d7\u3051\u53d6\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u63a8\u5b9a:<\/strong>\u63a8\u5b9a\u3055\u308c\u305f\u4fc2\u6570\u3002\u3053\u308c\u306f\u3001\u4ed6\u306e\u3059\u3079\u3066\u306e\u4e88\u6e2c\u5909\u6570\u304c\u4e00\u5b9a\u306e\u307e\u307e\u3067\u3042\u308b\u3068\u4eee\u5b9a\u3057\u305f\u5834\u5408\u3001\u4e88\u6e2c\u5909\u6570\u306e 1 \u5358\u4f4d\u306e\u5897\u52a0\u306b\u95a2\u9023\u3059\u308b\u5fdc\u7b54\u5909\u6570\u306e\u5e73\u5747\u5897\u52a0\u3092\u793a\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6a19\u6e96\u3002<\/strong><strong>\u8aa4\u5dee<\/strong>: \u4fc2\u6570\u306e\u6a19\u6e96\u8aa4\u5dee\u3067\u3059\u3002\u3053\u308c\u306f\u3001\u4fc2\u6570\u306e\u63a8\u5b9a\u5024\u306e\u4e0d\u78ba\u5b9f\u6027\u306e\u5c3a\u5ea6\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>t \u5024:<\/strong>\u3053\u308c\u306f\u3001(\u63a8\u5b9a\u5024) \/ (\u6a19\u6e96\u8aa4\u5dee) \u3068\u3057\u3066\u8a08\u7b97\u3055\u308c\u308b\u3001\u4e88\u6e2c\u5b50\u5909\u6570\u306e t \u7d71\u8a08\u91cf\u3067\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Pr(&gt;|t|):<\/strong>\u3053\u308c\u306f\u3001t \u7d71\u8a08\u91cf\u306b\u5bfe\u5fdc\u3059\u308b p \u5024\u3067\u3059\u3002\u3053\u306e\u5024\u304c\u7279\u5b9a\u306e\u30a2\u30eb\u30d5\u30a1 \u30ec\u30d9\u30eb (\u305f\u3068\u3048\u3070\u30010.05) \u3092\u4e0b\u56de\u308b\u5834\u5408\u3001\u4e88\u6e2c\u5909\u6570\u306f\u7d71\u8a08\u7684\u306b\u6709\u610f\u3067\u3042\u308b\u3068\u8a00\u308f\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u56de\u5e30\u30e2\u30c7\u30eb\u3067\u3069\u306e\u4e88\u6e2c\u5909\u6570\u304c\u6709\u610f\u3067\u3042\u308b\u304b\u3092\u6c7a\u5b9a\u3059\u308b\u305f\u3081\u306b \u03b1 = 0.05 \u306e\u30a2\u30eb\u30d5\u30a1 \u30ec\u30d9\u30eb\u3092\u4f7f\u7528\u3057\u305f\u5834\u5408\u3001 <strong>hp<\/strong>\u3068<strong>wt<\/strong>\u306f\u7d71\u8a08\u7684\u306b\u6709\u610f\u306a\u4e88\u6e2c\u5909\u6570\u3067\u3042\u308b\u304c\u3001 <strong>drat \u306f<\/strong>\u305d\u3046\u3067\u306f\u306a\u3044\u3068\u8a00\u3048\u307e\u3059\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u30e2\u30c7\u30eb\u306e\u9069\u5207\u6027\u306e\u8a55\u4fa1<\/strong><\/span><\/h3>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>Residual standard error: 2.561 on 28 degrees of freedom\nMultiple R-squared: 0.8369, Adjusted R-squared: 0.8194 \nF-statistic: 47.88 on 3 and 28 DF, p-value: 3.768e-11\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u3053\u306e\u6700\u5f8c\u306e\u30bb\u30af\u30b7\u30e7\u30f3\u306b\u306f\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u304c\u30c7\u30fc\u30bf\u30bb\u30c3\u30c8\u306b\u3069\u306e\u7a0b\u5ea6\u9069\u5408\u3057\u3066\u3044\u308b\u304b\u3092\u8a55\u4fa1\u3059\u308b\u306e\u306b\u5f79\u7acb\u3064\u3055\u307e\u3056\u307e\u306a\u6570\u5024\u304c\u8868\u793a\u3055\u308c\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b8b\u5dee\u6a19\u6e96\u8aa4\u5dee:<\/strong>\u3053\u308c\u306f\u3001\u89b3\u6e2c\u5024\u3068\u56de\u5e30\u76f4\u7dda\u306e\u9593\u306e\u5e73\u5747\u8ddd\u96e2\u3092\u793a\u3057\u307e\u3059\u3002\u5024\u304c\u5c0f\u3055\u3044\u307b\u3069\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u306f\u30c7\u30fc\u30bf\u306b\u3046\u307e\u304f\u9069\u5408\u3067\u304d\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u81ea\u7531\u5ea6\u306f nk-1 \u3068\u3057\u3066\u8a08\u7b97\u3055\u308c\u307e\u3059\u3002\u3053\u3053\u3067\u3001n = \u89b3\u6e2c\u5024\u306e\u7dcf\u6570\u3001k = \u4e88\u6e2c\u5b50\u306e\u6570\u3067\u3059\u3002\u3053\u306e\u4f8b\u3067\u306f\u3001mtcars \u306b\u306f 32 \u306e\u89b3\u6e2c\u5024\u304c\u3042\u308a\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u3067 3 \u3064\u306e\u4e88\u6e2c\u5b50\u3092\u4f7f\u7528\u3057\u305f\u305f\u3081\u3001\u81ea\u7531\u5ea6\u306f 32 \u2013 3 \u2013 1 = 28 \u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u591a\u91cd R \u4e8c\u4e57:<\/strong>\u3053\u308c\u306f\u6c7a\u5b9a\u4fc2\u6570\u3068\u547c\u3070\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u3001 <a href=\"https:\/\/statorials.org\/ja\/\u5909\u6570\u306e\u8aac\u660e\u5fdc\u7b54\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5fdc\u7b54\u5909\u6570<\/a>\u306e\u5206\u6563\u306e\u3069\u306e\u7a0b\u5ea6\u304c\u4e88\u6e2c\u5909\u6570\u306b\u3088\u3063\u3066\u8aac\u660e\u3067\u304d\u308b\u304b\u3092\u793a\u3057\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u3053\u306e\u5024\u306e\u7bc4\u56f2\u306f 0 \u304b\u3089 1 \u3067\u3059\u3002\u5024\u304c 1 \u306b\u8fd1\u3065\u304f\u307b\u3069\u3001\u4e88\u6e2c\u5909\u6570\u306f\u5fdc\u7b54\u5909\u6570\u306e\u5024\u3092\u4e88\u6e2c\u3067\u304d\u308b\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u8abf\u6574\u6e08\u307f R \u4e8c\u4e57:<\/strong>\u3053\u308c\u306f\u3001\u30e2\u30c7\u30eb\u5185\u306e\u4e88\u6e2c\u5b50\u306e\u6570\u306b\u57fa\u3065\u3044\u3066\u8abf\u6574\u3055\u308c\u305f R \u4e8c\u4e57\u306e\u4fee\u6b63\u30d0\u30fc\u30b8\u30e7\u30f3\u3067\u3059\u3002\u3053\u308c\u306f\u5e38\u306b R \u306e 2 \u4e57\u3088\u308a\u5c0f\u3055\u304f\u306a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8abf\u6574\u6e08\u307f R \u4e8c\u4e57\u306f\u3001\u7570\u306a\u308b\u6570\u306e\u4e88\u6e2c\u5909\u6570\u3092\u4f7f\u7528\u3059\u308b\u7570\u306a\u308b\u56de\u5e30\u30e2\u30c7\u30eb\u306e\u9069\u5408\u3092\u6bd4\u8f03\u3059\u308b\u306e\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>F \u7d71\u8a08\u91cf:<\/strong>\u56de\u5e30\u30e2\u30c7\u30eb\u304c\u72ec\u7acb\u5909\u6570\u3092\u542b\u307e\u306a\u3044\u30e2\u30c7\u30eb\u3088\u308a\u3082\u30c7\u30fc\u30bf\u3078\u306e\u9069\u5408\u6027\u304c\u9ad8\u3044\u304b\u3069\u3046\u304b\u3092\u793a\u3057\u307e\u3059\u3002\u57fa\u672c\u7684\u306b\u3001\u56de\u5e30\u30e2\u30c7\u30eb\u5168\u4f53\u304c\u6709\u7528\u304b\u3069\u3046\u304b\u3092\u30c6\u30b9\u30c8\u3057\u307e\u3059\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>p \u5024:<\/strong>\u3053\u308c\u306f\u3001F \u7d71\u8a08\u91cf\u306b\u5bfe\u5fdc\u3059\u308b p 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