{"id":3265,"date":"2025-12-24T17:22:44","date_gmt":"2025-12-24T08:22:44","guid":{"rendered":"https:\/\/math-travel.com\/?p=3265"},"modified":"2026-02-11T17:38:01","modified_gmt":"2026-02-11T08:38:01","slug":"correlation-coefficient","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-1\/correlation-coefficient\/","title":{"rendered":"\u76f8\u95a2\u4fc2\u6570(r)\u306e\u610f\u5473\u3068\u6c42\u3081\u65b9\uff01-1\u304b\u30891\u306e\u5024\u304c\u793a\u3059\u76f8\u95a2\u95a2\u4fc2\u3092\u30b0\u30e9\u30d5\u3067\u89e3\u8aac"},"content":{"rendered":"\n<div class=\"wp-block-group has-border -border02 is-style-bg_grid\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<div id=\"kv\">\n        <p>\u5165\u529b\u3057\u305f\u5024\u306e\u76f8\u95a2\u4fc2\u6570\u3092\u7b97\u51fa\u3057\u307e\u3059\u3002<br>\n          \u5024\u3092\u30ab\u30f3\u30de\uff08,\uff09\u3067\u533a\u5207\u3063\u3066\u5165\u529b\u5f8c\u306b\u7b97\u51fa\u30dc\u30bf\u30f3\u30af\u30ea\u30c3\u30af\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n      <\/div>\n      <div class=\"input-form\">\n        <div class=\"input-form-item\">\n          <label>X:<\/label>\n          <textarea class=\"input-num\" placeholder=\", \u3067\u533a\u5207\u3063\u3066\u5165\u529b\u3057\u3066\u304f\u3060\u3055\u3044\u3002\" oninput=\"textCheck1(this)\"><\/textarea>\n        <\/div>\n        <div class=\"input-form-item\">\n          <label>Y:<\/label>\n          <textarea class=\"input-num\" placeholder=\", \u3067\u533a\u5207\u3063\u3066\u5165\u529b\u3057\u3066\u304f\u3060\u3055\u3044\u3002\" oninput=\"textCheck2(this)\"><\/textarea>\n        <\/div>\n      <\/div>\n      <div class=\"output\">\n        <p>2\u5909\u91cf\u30c7\u30fc\u30bf\u306e\u76f8\u95a2\u95a2\u6570 r \u306f\u4ee5\u4e0b\u306e\u516c\u5f0f\u3067\u8868\u3055\u308c\u308b\u3002<br>\n        r = <span class=\"fraction\"><span class=\"numerator\">s<span class=\"mini-font\">xy<\/span><\/span><span class=\"denominator\">s<span class=\"mini-font\">x<\/span>\u30fbs<span class=\"mini-font\">y<\/span><\/span><\/span>\n         = <span class=\"fraction\"><span class=\"numerator\"><span class=\"fraction\"><span class=\"numerator\">1<\/span><span class=\"denominator\">n<\/span><\/span>\u03a3(x<span class=\"mini-font\">i<\/span> &#8211; \u03bc<span class=\"mini-font\">x<\/span>)(y<span class=\"mini-font\">i<\/span> &#8211; \u03bc<span class=\"mini-font\">y<\/span>)<\/span>\n        <span class=\"denominator\"><span class=\"root-symbol\">\u221a<\/span><span class=\"root\"><span class=\"fraction\"><span class=\"numerator\">1<\/span><span class=\"denominator\">n<\/span><\/span>\u03a3(x<span class=\"mini-font\">i<\/span> &#8211; \u03bc<span class=\"mini-font\">x<\/span>)<sup>2<\/sup><\/span>\u30fb<span class=\"root-symbol\">\u221a<\/span><span class=\"root\"><span class=\"fraction\"><span class=\"numerator\">1<\/span><span class=\"denominator\">n<\/span><\/span>\u03a3(y<span class=\"mini-font\">i<\/span> &#8211; \u03bc<span class=\"mini-font\">y<\/span>)<sup>2<\/sup><\/span><\/span><\/span><\/p>\n        <p>\u3053\u3053\u3067\u3001n : \u5165\u529b\u30c7\u30fc\u30bf\u6570\u3001x<span class=\"mini-font\">i<\/span>,y<span class=\"mini-font\">i<\/span> : \u5404\u30c7\u30fc\u30bf\u5024\u3001\u03bc<span class=\"mini-font\">x<\/span>,\u03bc<span class=\"mini-font\">y<\/span> : x,y\u306e\u5e73\u5747\u5024<\/p>\n        <p>\u5165\u529b\u30c7\u30fc\u30bf\u6570(n)\uff1a<span id=\"number-data\" class=\"right-output\"><\/span><span class=\"sp\"><br><\/span>x,y\u306e\u5171\u5206\u6563(s<span class=\"mini-font\">xy<\/span>)\uff1a<span id=\"covariance\"><\/span><\/p>\n        <p>X\u306e\u6a19\u6e96\u504f\u5dee(s<span class=\"mini-font\">x<\/span>)\uff1a<span id=\"X-standard-deviation\" class=\"right-output\"><\/span><span class=\"sp\"><br><\/span>Y\u306e\u6a19\u6e96\u504f\u5dee(s<span class=\"mini-font\">y<\/span>)\uff1a<span id=\"Y-standard-deviation\"><\/span>\u3088\u308a\u3001<\/p>\n        <p>\u76f8\u9593\u4fc2\u6570(r)\uff1a<span id=\"correlation-coefficient\" class=\"bold\"><\/span>\u3068\u306a\u308a\u3001<span id=\"correlation\"><\/span><\/p>\n      <\/div>\n      <div class=\"btn\">\n        <input type=\"button\" value=\"\u7b97\u51fa\" id=\"cal-btn\">\n        <input type=\"button\" value=\"\u30ea\u30bb\u30c3\u30c8\" id=\"reset-btn\">\n      <\/div>\n<\/div><\/div>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi8-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u8a08\u7b97\u306b\u56f0\u3063\u3066\u3044\u305f\u306e\u3067\u52a9\u304b\u308a\u307e\u3057\u305f\uff01<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<p>\u4eca\u56de\u306f\u76f8\u95a2\u4fc2\u6570\u306b\u95a2\u3059\u308b\u3053\u3093\u306a\u60a9\u307f\u3092\u89e3\u6c7a\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"wp-block-group is-style-big_kakko_box\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p><span class=\"huto\">\u300c\u76f8\u95a2\u4fc2\u6570\u3063\u3066\u4f55\u3092\u8868\u3057\u3066\u308b\u306e\uff1f\u300d<br>\u300c\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\u306f\uff1f\u300d<\/span><\/p>\n<\/div><\/div>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-left\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi5-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u9ad8\u6821\u751f<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u76f8\u95a2\u4fc2\u6570\u3063\u3066\u306a\u3093\u3060\u304b\u96e3\u3057\u305d\u3046\u306a\u30a4\u30e1\u30fc\u30b8\u304c\u3042\u308a\u307e\u3059\u2026<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<p>\u30c7\u30fc\u30bf\u306e\u554f\u984c\u3067\u306f\u5206\u6563\u3084\u5171\u5206\u6563\u3068\u5408\u308f\u305b\u3066\u3001\u76f8\u95a2\u4fc2\u6570\u3092\u6c42\u3081\u308b\u554f\u984c\u3082\u591a\u3044\u3067\u3059\u306d\u3002<\/p>\n\n\n\n<p>\u5206\u6563\u3068\u5171\u5206\u6563\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u308c\u3070\u3001\u76f8\u95a2\u4fc2\u6570\u306f\u7c21\u5358\u306b\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u672c\u8a18\u4e8b\u3067\u306f<span class=\"hutoaka\">\u76f8\u95a2\u4fc2\u6570\u306e\u610f\u5473\u3068\u6c42\u3081\u65b9\u3092\u89e3\u8aac<\/span>\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"toha\">\u76f8\u95a2\u4fc2\u6570\u306e\u610f\u5473<\/h2>\n\n\n\n<p>\u305d\u3082\u305d\u3082\u76f8\u95a2\u4fc2\u6570\u3068\u306f\u4f55\u306a\u306e\u304b\u3002<\/p>\n\n\n\n<p>\u76f8\u95a2\u4fc2\u6570\u304c\u8868\u3059\u3082\u306e\u306b\u3064\u3044\u3066\u7406\u89e3\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>\u76f8\u95a2\u4fc2\u6570\u3068\u306f\u3001<span class=\"yellow-hoso\">\u300c2\u3064\u306e\u30c7\u30fc\u30bf\u9593\u306b\u3042\u308b\u95a2\u4fc2\u306e\u5f37\u3055\u3092\u8868\u3059\u6307\u6a19\u300d<\/span>\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"623\" height=\"368\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u2460.jpg\" alt=\"\u76f8\u95a2\u4fc2\u6570\u3068\u306f\uff1f\" class=\"wp-image-3289\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u2460.jpg 623w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u2460-300x177.jpg 300w\" sizes=\"(max-width: 623px) 100vw, 623px\" \/><\/figure>\n<\/div>\n\n\n<p>\u2460\u306e\u30b0\u30e9\u30d5\u3088\u3046\u306bx\u8ef8\u306e\u5024\u304c\u5927\u304d\u304f\u306a\u308b\u306b\u3064\u308c\u3066\u3001y\u8ef8\u306e\u5024\u3082\u5927\u304d\u304f\u306a\u3063\u3066\u3044\u304f\u95a2\u4fc2\u3092\u6b63\u306e\u76f8\u95a2\u304c\u3042\u308b\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"615\" height=\"363\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u2461.jpg\" alt=\"\u76f8\u95a2\u4fc2\u6570\u3068\u306f\uff1f\" class=\"wp-image-3290\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u2461.jpg 615w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u2461-300x177.jpg 300w\" sizes=\"(max-width: 615px) 100vw, 615px\" \/><\/figure>\n<\/div>\n\n\n<p>\u9006\u306b\u2461\u306e\u30b0\u30e9\u30d5\u306b\u306f\u53f3\u306b\u884c\u304f\u306b\u3064\u308c\u4e0b\u304c\u3063\u3066\u3044\u308b\u306e\u3067\u3001\u8ca0\u306e\u76f8\u95a2\u304c\u3042\u308b\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"585\" height=\"365\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u2462.jpg\" alt=\"\u76f8\u95a2\u4fc2\u6570\u3068\u306f\uff1f\" class=\"wp-image-3291\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u2462.jpg 585w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u2462-300x187.jpg 300w\" sizes=\"(max-width: 585px) 100vw, 585px\" \/><\/figure>\n<\/div>\n\n\n<p>\u2462\u306e\u30b0\u30e9\u30d5\u306e\u3088\u3046\u306b\uff12\u3064\u306e\u30c7\u30fc\u30bf\u9593\u306b\u95a2\u4fc2\u304c\u306a\u3044\u3068\u601d\u308f\u308c\u308b\u3082\u306e\u3092\u76f8\u95a2\u304c\u306a\u3044\u307e\u305f\u306f\u76f8\u95a2\u95a2\u4fc2\u304c\u306a\u3044\u3068\u3044\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\uff1c\u6e96\u5099\uff1e<\/h2>\n\n\n\n<p>\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\u3059\u308b\u524d\u306b\u6e96\u5099\u3068\u3057\u3066\u3001\u5fc5\u8981\u306a\u516c\u5f0f\u3092\u5fa9\u7fd2\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u76f8\u95a2\u4fc2\u6570\u3092\u6c42\u3081\u308b\u306b\u3042\u305f\u3063\u3066\u30012\u3064\u306e\u30c7\u30fc\u30bf\u306e\u5171\u5206\u6563\u3068\u305d\u308c\u305e\u308c\u306e\u5206\u6563\u3001\u6a19\u6e96\u504f\u5dee\u3092\u6c42\u3081\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"bluebox\">\n<p><span class=\"box-title\">\u5171\u5206\u6563<\/span>\\(x\\)\u3068\\(y\\)\u306e\u5171\u5206\u6563\\(s_{xy}\\)\u306f\u6b21\u306e\u516c\u5f0f\u3067\u6c42\u3081\u308b<\/p>\n<div class=\"center\">\\(\\displaystyle s_{xy}=\\frac{1}{n} \\sum_{i=0}^n (x_i -\\overline{x})(y_i -\\overline{y})\\)<\/div>\n<div style=\"padding-bottom: 10px;\"><\/div>\n<p>\\(n\\)\u306f\u30c7\u30fc\u30bf\u306e\u7dcf\u6570<br>\\(x_i\\)\u3068\\(y_i\\)\u306f\u500b\u3005\u306e\u6570\u5024<br>\\(\\overline{x}\\)\u3068\\(\\overline{y}\\)\u306f\u305d\u308c\u305e\u308c\u306e\u5e73\u5747\u5024<\/p>\n<\/div>\n\n\n\n<div class=\"bluebox\">\n<p><span class=\"box-title\">\u6a19\u6e96\u504f\u5dee<\/span>\\(x\\)\u306e\u6a19\u6e96\u504f\u5dee\\(s_x\\)\u306f\u6b21\u306e\u516c\u5f0f\u3067\u6c42\u3081\u308b<\/p>\n<div class=\"center\">\\(\\displaystyle s_{x}=\\sqrt{\\frac{1}{n} \\sum_{i=0}^n (x_i -\\overline{x})^2}\\)<\/div>\n<div style=\"padding-bottom: 10px;\"><\/div>\n<p>\\(n\\)\u306f\u30c7\u30fc\u30bf\u306e\u7dcf\u6570<br>\\(x_i\\)\u306f\u500b\u3005\u306e\u6570\u5024<br>\\(\\overline{x}\\)\u306fx\u306e\u5e73\u5747\u5024<\/p>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"motomekata\">\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9<\/h2>\n\n\n\n<p>\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"graybox\"><span class=\"huto\">\u76f8\u95a2\u4fc2\u6570\u306e\u516c\u5f0f<\/span><br>\\(x,y\\)\u305d\u308c\u305e\u308c\u306e\u6a19\u6e96\u504f\u5dee\u3092\\(s_{x},s_{y}\\)\u3068\u3057\u3066\u3001\u5171\u5206\u6563\u3092\\(s_{xy}\\)\u3068\u3059\u308b\u3002\n<div class=\"center\">\\(\\displaystyle r=\\frac{s_{xy}}{s_{x} s_{y}}\\)<\/div>\n<\/div>\n\n\n\n<div class=\"kizibox\">\n<p><span class=\"box-title\">\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9<\/span><\/p>\n<ol style=\"padding-bottom: 0px;\">\n<li><span class=\"huto\">\u5e73\u5747\u5024\u3092\u6c42\u3081\u308b<\/span><\/li>\n<li><span class=\"huto\">\u504f\u5dee\u3092\u6c42\u3081\u308b<\/span><\/li>\n<li><span class=\"huto\">\u5171\u5206\u6563\u3092\u6c42\u3081\u308b<\/span><\/li>\n<li><span class=\"huto\">\u5206\u6563\u3092\u6c42\u3081\u308b<\/span><\/li>\n<li><span class=\"huto\">\u6a19\u6e96\u504f\u5dee\u3092\u6c42\u3081\u308b<\/span><\/li>\n<li><span class=\"huto\">\u76f8\u95a2\u4fc2\u6570\u3092\u8a08\u7b97\u3059\u308b<\/span><\/li>\n<\/ol>\n<\/div>\n\n\n\n<div class=\"graybox\">5\u4eba\u304c\u6570\u5b66\u3068\u82f1\u8a9e\u306e\u30c6\u30b9\u30c8\u3092\u53d7\u3051\u305f\u3068\u3057\u307e\u3059\u3002<br>x:\u6570\u5b66\u306e\u70b9\u6570\u3000\u3000y:\u82f1\u8a9e\u306e\u70b9\u6570<br>\u305d\u308c\u305e\u308c\u306e\u70b9\u6570\u306f<br>(x,y)=(40,50)(50,60)(60,80)(70,60)(80,100)<br>\u3053\u306e\u6642\u306e\u76f8\u95a2\u4fc2\u6570\u3092\u6c42\u3081\u307e\u3059\u3002<\/div>\n\n\n\n<p><span class=\"oomozi\">1.\u5e73\u5747\u5024\u3092\u6c42\u3081\u308b<\/span><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"767\" height=\"262\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\u2461.jpg\" alt=\"\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\" class=\"wp-image-3281\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\u2461.jpg 767w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\u2461-300x102.jpg 300w\" sizes=\"(max-width: 767px) 100vw, 767px\" \/><\/figure>\n<\/div>\n\n\n<p>\u6570\u5b66\u3001\u82f1\u8a9e\u305d\u308c\u305e\u308c\u306e\u5e73\u5747\u70b9\u3092\u6c42\u3081\u307e\u3059\u3002<br><\/p>\n\n\n\n<p><span class=\"oomozi\">2.\u504f\u5dee\u3092\u6c42\u3081\u308b<\/span><\/p>\n\n\n\n<p>\u3064\u304e\u306b\u504f\u5dee\u3092\u6c42\u3081\u307e\u3059\u3002<br>\u504f\u5dee\u3068\u306f<span class=\"huto\">\u300c\u30c7\u30fc\u30bf\u5024\u3068\u5e73\u5747\u5024\u3068\u306e\u5dee\u300d<\/span>\u3092\u6307\u3057\u307e\u3059\u3002<br>\u21d2\u504f\u5dee\u5024\u3068\u306f\uff1f\u504f\u5dee\u5024\u306e\u610f\u5473\u3068\u6c42\u3081\u65b9\u3092\u30ba\u30d0\u30ea\u89e3\u8aac\u3057\u307e\u3059\uff01<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"764\" height=\"260\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\u2462.jpg\" alt=\"\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\" class=\"wp-image-3282\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\u2462.jpg 764w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\u2462-300x102.jpg 300w\" sizes=\"(max-width: 764px) 100vw, 764px\" \/><\/figure>\n<\/div>\n\n\n<p><span class=\"oomozi\">3.\u5171\u5206\u6563\u3092\u6c42\u3081\u308b<\/span><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"765\" height=\"260\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\u2463.jpg\" alt=\"\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9&quot;&quot;\" class=\"wp-image-3283\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\u2463.jpg 765w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\u2463-300x102.jpg 300w\" sizes=\"(max-width: 765px) 100vw, 765px\" \/><\/figure>\n<\/div>\n\n\n<p>2\u3067\u6c42\u3081\u305f\u305d\u308c\u305e\u308c\u306e\u504f\u5dee\u3092\u639b\u3051\u5408\u308f\u305b\u3066\u3001\u5171\u5206\u6563\u3092\u6c42\u3081\u307e\u3059\u3002<br><\/p>\n\n\n\n<p><span class=\"oomozi\">4.\u5206\u6563\u3092\u6c42\u3081\u308b<\/span><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"766\" height=\"263\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\u2464.jpg\" alt=\"\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\" class=\"wp-image-3284\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\u2464.jpg 766w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9\u2464-300x103.jpg 300w\" sizes=\"(max-width: 766px) 100vw, 766px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(x,y\\)\u305d\u308c\u305e\u308c\u306e\u5206\u6563\u3092\u6c42\u3081\u307e\u3059\u3002<br><\/p>\n\n\n\n<p><span class=\"oomozi\">5.\u6a19\u6e96\u504f\u5dee\u3092\u6c42\u3081\u308b<\/span><\/p>\n\n\n\n<p>4\u3067\u6c42\u3081\u305f\u5206\u6563\u306e\u6b63\u306e\u5e73\u65b9\u6839\u3092\u8a08\u7b97\u3057\u3066\u3001\u6a19\u6e96\u504f\u5dee\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u6a19\u6e96\u504f\u5dee\u306f\u5206\u6563\u306e\u6b63\u306e\u5e73\u65b9\u6839\u306a\u306e\u3067\u3001<\/p>\n\n\n\n<p>\\(x\\)\u306e\u6a19\u6e96\u504f\u5dee:\\(s_{x}=\\sqrt{200}=10\\sqrt{2}\\)<br>\\(y\\)\u306e\u6a19\u6e96\u504f\u5dee:\\(s_{y}=\\sqrt{320}=8\\sqrt{5}\\)<\/p>\n\n\n\n<p><span class=\"oomozi\">6.\u76f8\u95a2\u4fc2\u6570\u3092\u8a08\u7b97\u3059\u308b<\/span><\/p>\n\n\n\n<p>\u9577\u3044\u9053\u306e\u308a\u3067\u3057\u305f\u304c\u3001\u6700\u5f8c\u306b\u76f8\u95a2\u4fc2\u6570\u306e\u516c\u5f0f\u306b\u5171\u5206\u6563\u3001\u6a19\u6e96\u504f\u5dee\u3092\u4ee3\u5165\u3057\u3066\u76f8\u95a2\u4fc2\u6570\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\(\\displaystyle r=\\frac{s_{xy}}{s_{x} s_{y}}\\)<\/p>\n\n\n\n<p>\\(\\displaystyle =\\frac{200}{10\\sqrt{2}\u00d78\\sqrt{5}}\\)<\/p>\n\n\n\n<p>\\(\\displaystyle =\\frac{5}{2\\sqrt{10}}\\)<\/p>\n\n\n\n<p>\\(\\displaystyle \u22520.79\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u76f8\u95a2\u4fc2\u6570\u3092\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n\n\n<div class=\"swell-block-balloon\"><div class=\"c-balloon -bln-right\" data-col=\"gray\"><div class=\"c-balloon__icon -circle\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2024\/05\/math-travel-hukidashi1-150x150.webp\" alt=\"\" class=\"c-balloon__iconImg\" width=\"80px\" height=\"80px\"><span class=\"c-balloon__iconName\">\u30b7\u30fc\u30bf<\/span><\/div><div class=\"c-balloon__body -speaking -border-on\"><div class=\"c-balloon__text\">\n<p>\u5206\u6563\u3084\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u3092\u77e5\u3089\u306a\u3044\u3068\u76f8\u95a2\u4fc2\u6570\u306f\u6c42\u3081\u3089\u308c\u306a\u3044\u3088<\/p>\n<span class=\"c-balloon__shapes\"><span class=\"c-balloon__before\"><\/span><span class=\"c-balloon__after\"><\/span><\/span><\/div><\/div><\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\" id=\"merit\">\u76f8\u95a2\u4fc2\u6570\u306e\u30e1\u30ea\u30c3\u30c8<\/h2>\n\n\n\n<p>\u76f8\u95a2\u4fc2\u6570\u306e\u30e1\u30ea\u30c3\u30c8\u306f\u3001<span class=\"red-hoso\">\u300c2\u3064\u306e\u30c7\u30fc\u30bf\u9593\u306b\u3042\u308b\u76f8\u95a2\u306e\u5f37\u5f31\u304c\u5206\u304b\u308a\u3084\u3059\u3044\u3053\u3068\u300d<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u76f8\u95a2\u4fc2\u6570\u3068\u540c\u3058\u304f\uff12\u3064\u306e\u30c7\u30fc\u30bf\u9593\u306b\u3042\u308b\u95a2\u4fc2\u3092\u8868\u3059\u6307\u6a19\u306b\u5171\u5206\u6563\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p><span class=\"huto\">\u5171\u5206\u6563\u306e\u6ce8\u610f\u70b9\u3068\u3057\u3066\u3001\u300c\u6271\u3063\u3066\u3044\u308b\u30c7\u30fc\u30bf\u306e\u5024\u304c\u5927\u304d\u3044\u3068\u5171\u5206\u6563\u306e\u5024\u3082\u5927\u304d\u304f\u306a\u308b\u70b9\u300d\u304c\u3042\u308a\u307e\u3057\u305f\u3002<\/span><\/p>\n\n\n\n<p>\u3064\u307e\u308a\u30012\u3064\u306e\u30c7\u30fc\u30bf\u9593\u306b\u3042\u308b\u76f8\u95a2\u95a2\u4fc2\u304c\u3069\u308c\u3060\u3051\u5f37\u3044\u306e\u304b\u304c\u5206\u304b\u308a\u306b\u304f\u3044\u306e\u3067\u3059\u3002<\/p>\n\n\n\n<p><span class=\"huto\">\u76f8\u95a2\u4fc2\u6570\u306e\u5834\u5408\u306f\\(-1.00\u2266r\u22661.00\\)\u3067\u8868\u73fe\u3055\u308c\u308b\u306e\u3067\u30012\u3064\u306e\u30c7\u30fc\u30bf\u9593\u306b\u3042\u308b\u76f8\u95a2\u306e\u5f37\u5f31\u304c\u5206\u304b\u308a\u3084\u3059\u3044\u306e\u3067\u3059\u3002<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"mondai\">\u76f8\u95a2\u4fc2\u6570\uff1c\u7df4\u7fd2\u554f\u984c\uff1e<\/h2>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"574\" height=\"151\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u7121\u984c.jpg\" alt=\"\u6a19\u6e96\u504f\u5dee\uff1c\u7df4\u7fd2\u554f\u984c\uff1e\" class=\"wp-image-1109\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u7121\u984c.jpg 574w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/04\/\u7121\u984c-300x79.jpg 300w\" sizes=\"(max-width: 574px) 100vw, 574px\" \/><\/figure>\n<\/div>\n\n\n<p>\u76f8\u95a2\u4fc2\u6570\u306e\u610f\u5473\u3092\u7406\u89e3\u3057\u305f\u3068\u3053\u308d\u3067\u3001\u7df4\u7fd2\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"kizibox\">\n<p><span class=\"box-title\">\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9<\/span><\/p>\n<ol style=\"padding-bottom: 0px;\">\n<li><span class=\"huto\">\u5e73\u5747\u5024\u3092\u6c42\u3081\u308b<\/span><\/li>\n<li><span class=\"huto\">\u504f\u5dee\u3092\u6c42\u3081\u308b<\/span><\/li>\n<li><span class=\"huto\">\u5171\u5206\u6563\u3092\u6c42\u3081\u308b<\/span><\/li>\n<li><span class=\"huto\">\u5206\u6563\u3092\u6c42\u3081\u308b<\/span><\/li>\n<li><span class=\"huto\">\u6a19\u6e96\u504f\u5dee\u3092\u6c42\u3081\u308b<\/span><\/li>\n<li><span class=\"huto\">\u76f8\u95a2\u4fc2\u6570\u3092\u8a08\u7b97\u3059\u308b<\/span><\/li>\n<\/ol>\n<\/div>\n\n\n\n<div class=\"graybox\">5\u4eba\u304c\u6570\u5b66\u3068\u82f1\u8a9e\u306e\u30c6\u30b9\u30c8\u3092\u53d7\u3051\u305f\u3068\u3057\u307e\u3059\u3002<br>x:\u6570\u5b66\u306e\u70b9\u6570\u3000\u3000y:\u82f1\u8a9e\u306e\u70b9\u6570<br>\u305d\u308c\u305e\u308c\u306e\u70b9\u6570\u306f<br>(x,y)=(50,30)(60,60)(70,60)(80,60)(90,90)<br>\u3053\u306e\u6642\u306e\u76f8\u95a2\u4fc2\u6570\u3092\u6c42\u3081\u307e\u3059\u3002<\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"766\" height=\"260\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u7df4\u7fd2\u2460.jpg\" alt=\"\u76f8\u95a2\u4fc2\u6570\uff1c\u7df4\u7fd2\u554f\u984c\uff1e\" class=\"wp-image-3285\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u7df4\u7fd2\u2460.jpg 766w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u7df4\u7fd2\u2460-300x102.jpg 300w\" sizes=\"(max-width: 766px) 100vw, 766px\" \/><\/figure>\n<\/div>\n\n\n<p><span class=\"oomozi\">1.\u5e73\u5747\u5024\u3092\u6c42\u3081\u308b<\/span><br><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"762\" height=\"260\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u7df4\u7fd2\u2461.jpg\" alt=\"\u76f8\u95a2\u4fc2\u6570\uff1c\u7df4\u7fd2\u554f\u984c\uff1e\" class=\"wp-image-3286\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u7df4\u7fd2\u2461.jpg 762w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u7df4\u7fd2\u2461-300x102.jpg 300w\" sizes=\"(max-width: 762px) 100vw, 762px\" \/><\/figure>\n<\/div>\n\n\n<p><span class=\"oomozi\">2.\u504f\u5dee\u3092\u6c42\u3081\u308b<\/span><br><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"766\" height=\"260\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u7df4\u7fd2\u2462.jpg\" alt=\"\u76f8\u95a2\u4fc2\u6570\uff1c\u7df4\u7fd2\u554f\u984c\uff1e\" class=\"wp-image-3287\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u7df4\u7fd2\u2462.jpg 766w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u7df4\u7fd2\u2462-300x102.jpg 300w\" sizes=\"(max-width: 766px) 100vw, 766px\" \/><\/figure>\n<\/div>\n\n\n<p><span class=\"oomozi\">3.\u5171\u5206\u6563\u3092\u6c42\u3081\u308b<\/span><br><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"764\" height=\"258\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u7df4\u7fd2\u2463.jpg\" alt=\"\u76f8\u95a2\u4fc2\u6570\uff1c\u7df4\u7fd2\u554f\u984c\uff1e\" class=\"wp-image-3288\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u7df4\u7fd2\u2463.jpg 764w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u76f8\u95a2\u4fc2\u6570\u7df4\u7fd2\u2463-300x101.jpg 300w\" sizes=\"(max-width: 764px) 100vw, 764px\" \/><\/figure>\n<\/div>\n\n\n<p><span class=\"oomozi\">4.\u5206\u6563\u3092\u6c42\u3081\u308b<\/span><br><\/p>\n\n\n\n<p><span class=\"oomozi\">5.\u6a19\u6e96\u504f\u5dee\u3092\u6c42\u3081\u308b<\/span><\/p>\n\n\n\n<p>\\(x\\)\u306e\u6a19\u6e96\u504f\u5dee:\\(s_{x}=\\sqrt{200}=10\\sqrt{2}\\)<br>\\(y\\)\u306e\u6a19\u6e96\u504f\u5dee:\\(s_{y}=\\sqrt{360}=6\\sqrt{10}\\)<\/p>\n\n\n\n<p><span class=\"oomozi\">6.\u76f8\u95a2\u4fc2\u6570\u3092\u8a08\u7b97\u3059\u308b<\/span><\/p>\n\n\n\n<p>\u76f8\u95a2\u4fc2\u6570\u306e\u516c\u5f0f\u306b\u5171\u5206\u6563\u3001\u6a19\u6e96\u504f\u5dee\u3092\u4ee3\u5165\u3057\u3066\u76f8\u95a2\u4fc2\u6570\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\(\\displaystyle r=\\frac{s_{xy}}{s_{x} s_{y}}\\)<\/p>\n\n\n\n<p>\\(\\displaystyle =\\frac{240}{10\\sqrt{2} \u00d76\\sqrt{10}}\\)<\/p>\n\n\n\n<p>\\(\\displaystyle =\\frac{2}{\\sqrt{5}}\\)<\/p>\n\n\n\n<p>\\(\\displaystyle \u22520.89\\)<\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u6c42\u3081\u308b\u76f8\u95a2\u4fc2\u6570\u306f0.89\u3067\u3042\u308b\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"matome\">\u76f8\u95a2\u4fc2\u6570\u3000\u307e\u3068\u3081<\/h2>\n\n\n\n<p>\u4eca\u56de\u306f\u30c7\u30fc\u30bf\u306e\u5206\u6790\u304b\u3089\u76f8\u95a2\u4fc2\u6570\u306b\u3064\u3044\u3066\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<div class=\"yellowbox\"><span class=\"huto\">\u76f8\u95a2\u4fc2\u6570\u3068\u306f\uff1f<\/span><br>2\u3064\u306e\u30c7\u30fc\u30bf\u9593\u306b\u3042\u308b\u95a2\u4fc2\u306e\u5f37\u3055\u3092\u8868\u3059\u6307\u6a19\n<div class=\"kizibox\">\n<p><span class=\"box-title\">\u76f8\u95a2\u4fc2\u6570\u306e\u6c42\u3081\u65b9<\/span><\/p>\n<ol style=\"padding-bottom: 0px;\">\n<li>\u5e73\u5747\u5024\u3092\u6c42\u3081\u308b<\/li>\n<li>\u504f\u5dee\u3092\u6c42\u3081\u308b<\/li>\n<li>\u5171\u5206\u6563\u3092\u6c42\u3081\u308b<\/li>\n<li>\u5206\u6563\u3092\u6c42\u3081\u308b<\/li>\n<li>\u6a19\u6e96\u504f\u5dee\u3092\u6c42\u3081\u308b<\/li>\n<li>\u76f8\u95a2\u4fc2\u6570\u3092\u8a08\u7b97\u3059\u308b<\/li>\n<\/ol>\n<\/div>\n<p><span class=\"huto\">\u76f8\u95a2\u4fc2\u6570\u306e\u30e1\u30ea\u30c3\u30c8<\/span><br>2\u3064\u306e\u30c7\u30fc\u30bf\u9593\u306b\u3042\u308b\u76f8\u95a2\u306e\u5f37\u5f31\u304c\u5206\u304b\u308a\u3084\u3059\u3044\u3053\u3068<\/p>\n<\/div>\n\n\n\n<p>\u4ed6\u306b\u3082\u3001\u6559\u79d1\u66f8\u306b\u5185\u5bb9\u306b\u6cbf\u3063\u305f\u89e3\u8aac\u8a18\u4e8b\u3092\u6319\u3052\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u304a\u6c17\u306b\u5165\u308a\u767b\u9332\u3057\u3066\u5b9a\u671f\u8a66\u9a13\u524d\u306b\u78ba\u8a8d\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p>\u6700\u5f8c\u307e\u3067\u8aad\u3093\u3067\u304f\u3060\u3055\u308a\u3042\u308a\u304c\u3068\u3046\u3054\u3056\u3044\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u307f\u3093\u306a\u306e\u52aa\u529b\u304c\u5831\u308f\u308c\u307e\u3059\u3088\u3046\u306b\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5165\u529b\u3057\u305f\u5024\u306e\u76f8\u95a2\u4fc2\u6570\u3092\u7b97\u51fa\u3057\u307e\u3059\u3002 \u5024\u3092\u30ab\u30f3\u30de\uff08,\uff09\u3067\u533a\u5207\u3063\u3066\u5165\u529b\u5f8c\u306b\u7b97\u51fa\u30dc\u30bf\u30f3\u30af\u30ea\u30c3\u30af\u3057\u3066\u304f\u3060\u3055\u3044\u3002 X: Y: 2\u5909\u91cf\u30c7\u30fc\u30bf\u306e\u76f8\u95a2\u95a2\u6570 r \u306f\u4ee5\u4e0b\u306e\u516c\u5f0f\u3067\u8868\u3055\u308c\u308b\u3002 r = sxysx\u30fbsy = 1n\u03a3(xi &#038;#8 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":6155,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"swell_btn_cv_data":"","footnotes":""},"categories":[44,222],"tags":[45,10,11],"class_list":["post-3265","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-data","category-math-1","tag-45","tag-a","tag-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ 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\u5024\u3092\u30ab\u30f3\u30de\uff08,\uff09\u3067\u533a\u5207\u3063\u3066\u5165\u529b\u5f8c\u306b\u7b97\u51fa\u30dc\u30bf\u30f3\u30af\u30ea\u30c3\u30af\u3057\u3066\u304f\u3060\u3055\u3044\u3002 X: Y: 2\u5909\u91cf\u30c7\u30fc\u30bf\u306e\u76f8\u95a2\u95a2\u6570 r \u306f\u4ee5\u4e0b\u306e\u516c\u5f0f\u3067\u8868\u3055\u308c\u308b\u3002 r = sxysx\u30fbsy = 1n\u03a3(xi &amp;#8 [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/math-travel.jp\/math-1\/correlation-coefficient\/\" \/>\n<meta property=\"og:site_name\" content=\"\u30de\u30b9\u30c8\u30e9\u9ad8\u6821\u6570\u5b66\u307e\u3068\u3081\u30b5\u30a4\u30c8\" \/>\n<meta property=\"article:published_time\" content=\"2025-12-24T08:22:44+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-02-11T08:38:01+00:00\" \/>\n<meta property=\"og:image\" 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