{"id":3241,"date":"2025-12-24T17:22:44","date_gmt":"2025-12-24T08:22:44","guid":{"rendered":"https:\/\/math-travel.com\/?p=3241"},"modified":"2026-02-11T17:37:30","modified_gmt":"2026-02-11T08:37:30","slug":"covariance","status":"publish","type":"post","link":"https:\/\/math-travel.jp\/math-1\/covariance\/","title":{"rendered":"\u5171\u5206\u6563\u306e\u516c\u5f0f\u3068\u6c42\u3081\u65b9\uff1a2\u3064\u306e\u5909\u6570\u306e\u95a2\u4fc2\u6027\u3092\u6570\u5024\u5316\u3059\u308b\u4ed5\u7d44\u307f\u3092\u56f3\u89e3\u3067\u7406\u89e3"},"content":{"rendered":"\n<p>\u5171\u5206\u6563\u3068\u306f\uff0c<strong>\u4e8c\u7d44\u306e\u5bfe\u5fdc\u3059\u308b\u30c7\u30fc\u30bf\u306e\u9593\u306e\u95a2\u4fc2\u3092\u8868\u3059\u6570\u5024<\/strong>\u3067\u3059\u3002<\/p>\n\n\n\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\u5171\u5206\u6563\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>\u5171\u5206\u6563\u306f\u300cX\u306e\u504f\u5dee\u00d7Y\u306e\u504f\u5dee\u300d\u306e\u5e73\u5747\u3067\u8868\u3055\u308c\u3001<span class=\"sp\"><br><\/span>\n          s<span class=\"mini-font\">xy<\/span>=<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>)\u3068\u306a\u308b\u3002<\/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\u306e\u5e73\u5747\u70b9(\u03bc<span class=\"mini-font\">x<\/span>)\uff1a<span id=\"X-average\" class=\"right-output\"><\/span><span class=\"sp\"><br><\/span>Y\u306e\u5e73\u5747\u70b9(\u03bc<span class=\"mini-font\">y<\/span>)\uff1a<span id=\"Y-average\"><\/span>\u3000\u3088\u308a<\/p>\n        <p>\u5171\u5206\u6563(s<span class=\"mini-font\">xy<\/span>)\uff1a<span id=\"covariance\" class=\"bold\"><\/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\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\u5171\u5206\u6563\u3063\u3066\u306a\u3093\u3060\u3063\u3051\uff1f\u300d<\/span><br><span class=\"huto\">\u300c\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u304c\u5206\u304b\u3089\u306a\u3044\u300d<\/span><\/p>\n<\/div><\/div>\n\n\n\n<p>\u5171\u5206\u6563\u3092\u6c42\u3081\u308b\u306b\u306f\u30012 \u3064\u306e\u5909\u6570\u306e\u504f\u5dee\u306e\u7a4d\u306e\u5e73\u5747\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box is-style-onborder_ttl2\"><div class=\"cap_box_ttl\"><span>\u5171\u5206\u6563\u306e\u516c\u5f0f<\/span><\/div><div class=\"cap_box_content\">\n<p>\\(x\\)\u3068\\(y\\)\u306e\u5171\u5206\u6563\\(s_{xy}\\)\u306f\u6b21\u306e\u516c\u5f0f\u3067\u6c42\u3081\u308b<\/p>\n\n\n\n<p>\\[\\displaystyle s_{xy}=\\frac{1}{n} \\sum_{i=0}^n (x_i -\\overline{x})(y_i -\\overline{y})\\]<\/p>\n\n\n\n<p class=\"is-style-bg_stripe\">\\(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><\/div>\n\n\n\n<p>\u672c\u8a18\u4e8b\u3067\u306f\u3001<span class=\"hutoaka\">\u5171\u5206\u6563\u306e\u610f\u5473\u3084\u6c42\u3081\u65b9\u306b\u3064\u3044\u3066\u89e3\u8aac<\/span>\u3057\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5206\u6563\u304c\u5206\u304b\u308c\u3070\u3059\u3050\u7406\u89e3\u3067\u304d\u308b\u306e\u3067\u3057\u3063\u304b\u308a\u7406\u89e3\u3057\u3066\u304a\u304d\u307e\u3057\u3087\u3046\uff01<\/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>\u6c17\u306b\u306a\u308b\u898b\u51fa\u3057\u3092\u30af\u30ea\u30c3\u30af\u3057\u3066\u3001<br>\u305c\u3072\u6700\u5f8c\u307e\u3067\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/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=\"kyoubunsan\">\u5171\u5206\u6563\u3068\u306f\uff1f<\/h2>\n\n\n\n<p>\u5171\u5206\u6563\u3068\u306f<span class=\"yellow-hoso\">\u300c2\u7d44\u306e\u5bfe\u5fdc\u3059\u308b\u30c7\u30fc\u30bf\u9593\u306e\u95a2\u4fc2\u3092\u8868\u3059\u6570\u5024\u300d<\/span>\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"1181\" height=\"618\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u3068\u306f\uff1f\u753b\u50cf.png\" alt=\"\u5171\u5206\u6563\u3068\u306f\uff1f\u753b\u50cf\" class=\"wp-image-10858\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u3068\u306f\uff1f\u753b\u50cf.png 1181w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u3068\u306f\uff1f\u753b\u50cf-300x157.png 300w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u3068\u306f\uff1f\u753b\u50cf-1024x536.png 1024w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u3068\u306f\uff1f\u753b\u50cf-768x402.png 768w\" sizes=\"(max-width: 1181px) 100vw, 1181px\" \/><\/figure>\n<\/div>\n\n\n\n\n\n\n<p>\u21d2\u5171\u5206\u6563\u3092\u6c42\u3081\u308b\u3053\u3068\u3067\u300c\uff12\u3064\u306e\u30c7\u30fc\u30bf\u306e\u95a2\u4fc2\u6027\u300d\u3092\u5206\u6790\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5171\u5206\u6563\u3068\u4f3c\u305f\u3082\u306e\u3067\u300c\u5206\u6563\u300d\u3068\u3044\u3046\u3082\u306e\u304c\u3042\u308a\u307e\u3057\u305f\u304c\u899a\u3048\u3066\u3044\u307e\u3059\u304b\uff1f<\/p>\n\n\n\n<p><span class=\"huto\">\u5206\u6563\u306f\uff11\u3064\u306e\u30c7\u30fc\u30bf\u306e\u6563\u3089\u3070\u308a\u5ea6\u5408\u3044\u3092\u8868\u3057\u307e\u3059\u304c\u3001\u4eca\u56de\u306e\u300c\u5171\u5206\u6563\u300d\u306f2\u3064\u306e\u30c7\u30fc\u30bf\u306e\u95a2\u4fc2\u3092\u8868\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<p>\u5206\u6563\u306b\u3064\u3044\u3066\u306f\u5225\u306e\u8a18\u4e8b\u3067\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"motomekata\">\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9<\/h2>\n\n\n\n<p>\u3067\u306f\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u3066\u3044\u304d\u307e\u3059\u304c\u3001\u5171\u5206\u6563\u306b\u306f2\u3064\u306e\u6c42\u3081\u65b9\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9<\/span><\/div><div class=\"cap_box_content\">\n<ul class=\"wp-block-list\">\n<li><a href=\"#motomekata1\">\u5171\u5206\u6563\u306e\u516c\u5f0f\u2460<\/a><\/li>\n\n\n\n<li><a href=\"#motomekata2\">\u5171\u5206\u6563\u306e\u516c\u5f0f\u2461<\/a><\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>\u30b9\u30e0\u30fc\u30ba\u306b\u5171\u5206\u6563\u3092\u6c42\u3081\u308b\u306b\u306f\u3001\u3069\u3061\u3089\u306e\u516c\u5f0f\u3082\u982d\u306b\u5165\u308c\u3066\u304a\u304f\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\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>2\u3064\u3082\u516c\u5f0f\u899a\u3048\u3089\u308c\u308b\u304b\u306a<\/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<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>\u305f\u304f\u3055\u3093\u554f\u984c\u3092\u89e3\u3044\u3066\u6163\u308c\u3066\u3044\u3053\u3046\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<h3 class=\"wp-block-heading\" id=\"motomekata1\">\u5171\u5206\u6563\u306e\u516c\u5f0f\u2460<\/h3>\n\n\n\n<p>\u5171\u5206\u6563\u306f<span class=\"red-hoso\">\u300cx\u306e\u504f\u5dee\u00d7y\u306e\u504f\u5dee\u300d\u306e\u5e73\u5747<\/span>\u3067\u6c42\u3081\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u504f\u5dee\u3068\u306f\u300c<span class=\"huto\">\u30c7\u30fc\u30bf\u5024\u3068\u5e73\u5747\u5024\u3068\u306e\u5dee<\/span>\u300d\u3092\u6307\u3057\u307e\u3059\u3002<br>\u21d2\u8a73\u3057\u304f\u306f\u300c\u504f\u5dee\u5024\u306e\u610f\u5473\u3068\u6c42\u3081\u65b9\u300d\u3067\u89e3\u8aac\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5171\u5206\u6563\u306e\u516c\u5f0f\u2460<\/span><\/div><div class=\"cap_box_content\">\n<p>\\(x\\)\u3068\\(y\\)\u306e\u5171\u5206\u6563\\(s_{xy}\\)\u306f\u6b21\u306e\u516c\u5f0f\u3067\u6c42\u3081\u308b<\/p>\n\n\n\n<p>\\[\\displaystyle s_{xy}=\\frac{1}{n} \\sum_{i=0}^n (x_i -\\overline{x})(y_i -\\overline{y})\\]<\/p>\n\n\n\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><\/div>\n\n\n\n<p>\u6587\u5b57\u3067\u306f\u5206\u304b\u308a\u3065\u3089\u3044\u3068\u601d\u3046\u306e\u3067\u3001\u5177\u4f53\u4f8b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5171\u5206\u6563\u306e\u4f8b\u984c<\/span><\/div><div class=\"cap_box_content\">\n<p>\u9ad8\u6821\u751f5\u4eba\u304c\u6570\u5b66\u3068\u82f1\u8a9e\u306e\u30c6\u30b9\u30c8\u3092\u53d7\u3051\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\\(x\\) :\u6570\u5b66\u306e\u70b9\u6570 , \\(y\\) :\u82f1\u8a9e\u306e\u70b9\u6570<\/p>\n\n\n\n<p>5\u4eba\u306e\u7d50\u679c\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\\((x,y)=(40,50)(50,60)(60,80)\\)<br>\\((70,60)(80,100)\\)<\/p>\n\n\n\n<p>\u3053\u306e\u6642\u306e\u5171\u5206\u6563\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u4e0e\u3048\u3089\u308c\u305f\u60c5\u5831\u3092\u8868\u306b\u307e\u3068\u3081\u307e\u3057\u305f\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"460\" height=\"237\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2460.jpg\" alt=\"\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\" class=\"wp-image-3249\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2460.jpg 460w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2460-300x155.jpg 300w\" sizes=\"(max-width: 460px) 100vw, 460px\" \/><\/figure>\n<\/div>\n\n\n<p>\u5206\u6563\u3092\u6c42\u3081\u308b\u307e\u3067\u306b3\u3064\u306e\u30b9\u30c6\u30c3\u30d7\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2460<\/span><\/div><div class=\"cap_box_content\">\n<ul class=\"wp-block-list\">\n<li>\\(x, y\\)\u306e\u5e73\u5747\u5024\u3092\u6c42\u3081\u308b<\/li>\n\n\n\n<li>\u305d\u308c\u305e\u308c\u306e\u504f\u5dee\u3092\u6c42\u3081\u308b<\/li>\n\n\n\n<li>\u504f\u5dee\u306e\u7a4d\u306e\u5e73\u5747\u5024\u3092\u6c42\u3081\u308b<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Step1(x, y)\u306e\u5e73\u5747\u5024\u3092\u6c42\u3081\u308b<\/p>\n\n\n\n<p>\u307e\u305a\u306f\u305d\u308c\u305e\u308c\u306e\u5e73\u5747\u5024\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p>\\(x, y\\)\u306e\u5e73\u5747\u5024\u3092\u6c42\u3081\u305f\u3082\u306e\u304c\u4ee5\u4e0b\u306e\u8868\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"461\" height=\"241\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2461jpg.jpg\" alt=\"\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\" class=\"wp-image-3250\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2461jpg.jpg 461w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2461jpg-300x157.jpg 300w\" sizes=\"(max-width: 461px) 100vw, 461px\" \/><\/figure>\n<\/div>\n\n\n<p><span class=\"checkmark2 on-color\"><br><\/span><\/p>\n\n\n\n<p>Step2\u305d\u308c\u305e\u308c\u306e\u504f\u5dee\u3092\u6c42\u3081\u308b<br>\u5e73\u5747\u5024\u304c\u6c42\u3081\u3089\u308c\u305f\u3089\u3001\u305d\u308c\u305e\u308c\u306e\u504f\u5dee\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u504f\u5dee\u306e\u8a08\u7b97<\/span><\/div><div class=\"cap_box_content\">\n<p>\u504f\u5dee\uff1d\uff08\u30c7\u30fc\u30bf\u5024\uff09\u30fc\uff08\u5e73\u5747\u5024\uff09<\/p>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"460\" height=\"241\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2462jpg.jpg\" alt=\"\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\" class=\"wp-image-3251\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2462jpg.jpg 460w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2462jpg-300x157.jpg 300w\" sizes=\"(max-width: 460px) 100vw, 460px\" \/><\/figure>\n<\/div>\n\n\n<p>Step3\u504f\u5dee\u306e\u7a4d\u306e\u5e73\u5747\u5024\u3092\u6c42\u3081\u308b<\/p>\n\n\n\n<p>\u6700\u5f8c\u306b\u305d\u308c\u305e\u308c\u306e\u504f\u5dee\u3092\u639b\u3051\u5408\u308f\u305b\u305f\u5e73\u5747\u3092\u6c42\u3081\u308b\u3068\u305d\u308c\u304c\u5171\u5206\u6563\u3067\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"803\" height=\"309\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2463jpg.jpg\" alt=\"\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\" class=\"wp-image-3252\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2463jpg.jpg 803w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2463jpg-300x115.jpg 300w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2463jpg-768x296.jpg 768w\" sizes=\"(max-width: 803px) 100vw, 803px\" \/><\/figure>\n<\/div>\n\n\n<h3 class=\"wp-block-heading\">\u5171\u5206\u6563\u306e\u516c\u5f0f\u2461<\/h3>\n\n\n\n<p>\u5171\u5206\u6563\u3092\u6c42\u3081\u308b\u516c\u5f0f\u306f\u3082\u30461\u3064\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5171\u5206\u6563\u306e\u516c\u5f0f\u2461<\/span><\/div><div class=\"cap_box_content\">\n<p>\\(x\\)\u3068\\(y\\)\u306e\u5171\u5206\u6563\\(s_{xy}\\)\u306f\u6b21\u306e\u516c\u5f0f\u3067\u6c42\u3081\u308b<\/p>\n\n\n\n<p>\\[\\displaystyle s_{xy}=\\frac{1}{n} \\sum_{i=0}^n x_i y_i &#8211; \\overline{x} \\overline{y}\\]<\/p>\n\n\n\n<p>\u3059\u306a\u308f\u3061<\/p>\n\n\n\n<p>\\[\\displaystyle s_{xy}=\\overline{xy}- \\overline{x} \\overline{y}\\]<\/p>\n\n\n\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><\/div>\n\n\n\n<p>\u3053\u3061\u3089\u306e\u516c\u5f0f\u3067\u3082\u5206\u6563\u3092\u6c42\u3081\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5171\u5206\u6563\u306e\u4f8b\u984c<\/span><\/div><div class=\"cap_box_content\">\n<p>\u9ad8\u6821\u751f5\u4eba\u304c\u6570\u5b66\u3068\u82f1\u8a9e\u306e\u30c6\u30b9\u30c8\u3092\u53d7\u3051\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\\(x\\) :\u6570\u5b66\u306e\u70b9\u6570 , \\(y\\) :\u82f1\u8a9e\u306e\u70b9\u6570<\/p>\n\n\n\n<p>5\u4eba\u306e\u7d50\u679c\u306f\u4ee5\u4e0b\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\\((x,y)=(40,50)(50,60)(60,80)\\)<br>\\((70,60)(80,100)\\)<\/p>\n\n\n\n<p>\u3053\u306e\u6642\u306e\u5171\u5206\u6563\u3092\u6c42\u3081\u307e\u3057\u3087\u3046\u3002<\/p>\n<\/div><\/div>\n\n\n\n<p>\u4e0e\u3048\u3089\u308c\u305f\u60c5\u5831\u304b\u3089\u8868\u3092\u4f5c\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"460\" height=\"237\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2460.jpg\" alt=\"\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\" class=\"wp-image-3249\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2460.jpg 460w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2460-300x155.jpg 300w\" sizes=\"(max-width: 460px) 100vw, 460px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3053\u3061\u3089\u306e\u516c\u5f0f\u3067\u30823\u3064\u306e\u30b9\u30c6\u30c3\u30d7\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u2461<\/span><\/div><div class=\"cap_box_content\">\n<ul class=\"wp-block-list\">\n<li>\\(x, y\\)\u306e\u5e73\u5747\u5024\\(\\overline{x}, \\overline{y}\\)\u3092\u6c42\u3081\u308b<\/li>\n\n\n\n<li>\\(xy\\)\u306e\u5e73\u5747\u5024\\(\\overline{xy}\\)\u3068\\(\\overline{x} \\overline{y}\\)\u3092\u6c42\u3081\u308b<\/li>\n\n\n\n<li>\\(\\overline{xy}\\)\u3068\\(\\overline{x} \\overline{y}\\)\u306e\u5dee\u3092\u6c42\u3081\u308b<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<p>Step1\\(x, y\\)\u306e\u5e73\u5747\u5024\\(\\overline{x}, \\overline{y}\\)\u3092\u6c42\u3081\u308b<\/p>\n\n\n\n<p>5\u4eba\u306e\u70b9\u6570\u3092\u5143\u306b\u6570\u5b66\u3068\u82f1\u8a9e\u306e\u5e73\u5747\u5024\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"486\" height=\"241\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u516c\u5f0f\u2460jpg.jpg\" alt=\"\u5171\u5206\u6563\u306e\u7c21\u5358\u306a\u6c42\u3081\u65b9\" class=\"wp-image-3253\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u516c\u5f0f\u2460jpg.jpg 486w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u516c\u5f0f\u2460jpg-300x149.jpg 300w\" sizes=\"(max-width: 486px) 100vw, 486px\" \/><\/figure>\n<\/div>\n\n\n<p>\\(\\overline{x}=60 , \\overline{y}=70\\)\u3060\u3068\u5206\u304b\u308a\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u5e73\u5747\u5024\u306e\u6c42\u3081\u65b9\u304c\u5206\u304b\u3089\u306a\u3044\u4eba\u306f\u300c\u5e73\u5747\u5024\u306e\u6c42\u3081\u65b9\u3092\u89e3\u8aac\uff01\u300d\u3092\u3054\u89a7\u304f\u3060\u3055\u3044\u3002<\/p>\n\n\n\n<p>Step2\\(xy\\)\u306e\u5e73\u5747\u5024\\(\\overline{xy}\\)\u3068\\(\\overline{x} \\overline{y}\\)\u3092\u6c42\u3081\u308b<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle \\overline{xy}&amp;=&amp;\\frac{2000+3000+4800+4200+8000}{5}\\\\<br>&amp;=&amp;4400<br>\\end{eqnarray}<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"482\" height=\"237\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u516c\u5f0f\u2461jpg.jpg\" alt=\"\u5171\u5206\u6563\u306e\u7c21\u5358\u306a\u6c42\u3081\u65b9\" class=\"wp-image-3254\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u516c\u5f0f\u2461jpg.jpg 482w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u5171\u5206\u6563\u516c\u5f0f\u2461jpg-300x148.jpg 300w\" sizes=\"(max-width: 482px) 100vw, 482px\" \/><\/figure>\n<\/div>\n\n\n<p>\u305d\u3057\u3066\\(\\overline{x} \\overline{y}\\)\u3082\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\[\\overline{x} \\overline{y}=60 \\cdot 70 =4200\\]<\/p>\n\n\n\n<p>Step3\\(\\overline{xy}\\)\u3068\\(\\overline{x} \\overline{y}\\)\u306e\u5dee\u3092\u6c42\u3081\u308b<\/p>\n\n\n\n<p>\u6700\u5f8c\u306b\\(\\overline{xy}\\)\u3068\\(\\overline{x} \\overline{y}\\)\u306e\u5dee\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n\n\n\n<p>\\begin{eqnarray}<br>\\displaystyle s_{xy}&amp;=&amp;\\frac{1}{n} \\sum_{i=0}^n x_i y_i &#8211; \\overline{xy}\\\\<br>&amp;=&amp;\\overline{xy}-\\overline{x} \\overline{y}\\\\<br>&amp;=&amp;4400 -4200\\\\<br>&amp;=&amp;200<br>\\end{eqnarray}<\/p>\n\n\n\n<p>\u3068\u306a\u308a\u3001\u5171\u5206\u6563\u306f200\u3068\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-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>\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u304c2\u3064\u3042\u308b\u306a\u3093\u3066\u77e5\u3089\u306a\u304b\u3063\u305f<\/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<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>\u307c\u304f\u306f\u516c\u5f0f\u2461\u306e\u6c42\u3081\u65b9\u306e\u307b\u3046\u304c\u597d\u304d\u3060\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=\"hugou\">\u5171\u5206\u6563\u306e\u5024\u3068\u7b26\u53f7\u306e\u610f\u5473<\/h2>\n\n\n\n<p><span class=\"huto\">\u5171\u5206\u6563\u306e\u5024\u304c\u4f55\u3092\u610f\u5473\u3059\u308b\u306e\u304b\u89e3\u8aac\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<div class=\"wp-block-group is-style-bg_stripe\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p>\u5171\u5206\u6563\u306e\u5024\u304c\u5927\u304d\u3044\u21d2x\u304c\u5927\u304d\u3044\u6642\u3001y\u3082\u5927\u304d\u3044<br>\u5171\u5206\u6563\u304c0\u21d2x\u3068y\u306e\u9593\u306b\u95a2\u4fc2\u304c\u898b\u3089\u308c\u306a\u3044<br>\u5171\u5206\u6563\u306e\u5024\u304c\u5c0f\u3055\u3044\u21d2x\u304c\u5927\u304d\u3044\u6642\u3001y\u306f\u5c0f\u3055\u3044<\/p>\n<\/div><\/div>\n\n\n\n<p><span class=\"yellow-hoso\">\u5171\u5206\u6563\u306e\u7b26\u53f7\u304c\u6b63\u306e\u6642\u306f\u76f8\u95a2\u306e\u95a2\u4fc2\u3067\u3001\u8ca0\u306e\u6642\u306f\u9006\u76f8\u95a2\u306e\u95a2\u4fc2\u304c\u898b\u3089\u308c\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"kigou\">\u5171\u5206\u6563\u3092\u8868\u3059\u8a18\u53f7<\/h2>\n\n\n\n<p>\u5171\u5206\u6563\u306f\u82f1\u8a9e\u3067\u300cCovariance\u300d\u3068\u3044\u3046\u306e\u3067\u3001x\u3068y\u306e\u5171\u5206\u6563\u3092Cov(x,y)\u3068\u66f8\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305f\u3001\\(\u03c3_{xy}\\)\u3068\u66f8\u304f\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<p>\u5171\u5206\u6563\u306f<span class=\"huto\">\u300cx\u306e\u504f\u5dee\u00d7y\u306e\u504f\u5dee\u300d\u306e\u5e73\u5747<\/span>\u3067\u3057\u305f\u3002<\/p>\n\n\n\n<p>\u5e73\u5747\u5024\uff08\u671f\u5f85\u5024\uff09\u3092\u610f\u5473\u3059\u308bE\u3092\u7528\u3044\u3066\u3001<\/p>\n\n\n\n<p><span class=\"huto\">\\(E[(x-\\overline{x})(y-\\overline{y})]\\)<\/span><\/p>\n\n\n\n<p>\u3068\u8868\u3059\u3053\u3068\u3082\u3042\u308a\u307e\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"point\">\u5171\u5206\u6563\u306e\u6ce8\u610f\u70b9<\/h2>\n\n\n\n<p>\u5171\u5206\u6563\u306e\u6ce8\u610f\u70b9\u3068\u3057\u3066\u306f\u3001<span class=\"red-hoso\">\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<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n<p><span class=\"huto\">\u5171\u5206\u6563\u306e\u5024\u304c\u5927\u304d\u3044\u304b\u3089\u3068\u3044\u3063\u3066\uff12\u3064\u306e\u30c7\u30fc\u30bf\u9593\u306b\u5f37\u3044\u76f8\u95a2\u306e\u95a2\u4fc2\u304c\u3042\u308b\u3068\u306f\u9650\u308a\u307e\u305b\u3093\u3002<\/span><\/p>\n\n\n\n<div class=\"graybox\">(x,y)=(40,50)(50,60)(60,80)(70,60)(80,100)<br>\u21d2\u5171\u5206\u6563\u3000200(x,y)=(400,500)(500,600)(600,800)(700,600)(800,1000)<br>\u21d2\u5171\u5206\u6563\u300020000<\/div>\n\n\n\n<p>\u3053\u306e\u6ce8\u610f\u70b9\u3092\u89e3\u6c7a\u3057\u3066\u304f\u308c\u308b\u306e\u304c<span class=\"hutoaka\">\u76f8\u95a2\u4fc2\u6570<\/span>\u3067\u3059\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"mondai\">\u5171\u5206\u6563\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=\"\u5171\u5206\u6563\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>\u5171\u5206\u6563\u3092\u4f7f\u3063\u305f\u7df4\u7fd2\u554f\u984c\u306b\u6311\u6226\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5171\u5206\u6563\u306e\u7df4\u7fd2\u554f\u984c<\/span><\/div><div class=\"cap_box_content\">\n<p>\u3042\u308b\u30af\u30e9\u30b9\u3067\u6570\u5b66\u3068\u56fd\u8a9e\u306e\u30c6\u30b9\u30c8\u3092\u884c\u3044\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<p>\\(x\\) :\u6570\u5b66\u306e\u70b9\u6570\u3000\\(y\\) :\u56fd\u8a9e\u306e\u70b9\u6570<\/p>\n\n\n\n<p>\\[(x,y)=(30,40)(40,40)(50,70)\\)<br>\\((80,70)(100,80)\\)<\/p>\n\n\n\n<p>\u3053\u306e\u5171\u5206\u6563\u3092\u6c42\u3081\u3088\u3046\u3002<\/p>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"662\" height=\"240\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u7df4\u7fd2\u554f\u984c1jpg.jpg\" alt=\"\u5171\u5206\u6563\uff1c\u7df4\u7fd2\u554f\u984c\uff1e\" class=\"wp-image-3245\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u7df4\u7fd2\u554f\u984c1jpg.jpg 662w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u7df4\u7fd2\u554f\u984c1jpg-300x109.jpg 300w\" sizes=\"(max-width: 662px) 100vw, 662px\" \/><\/figure>\n<\/div>\n\n\n<p>\u3067\u306f\u3001\u5171\u5206\u6563\u306e\u7df4\u7fd2\u554f\u984c\u306b\u53d6\u308a\u639b\u304b\u3063\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u7c21\u5358\u306a\u6d41\u308c<\/span><\/div><div class=\"cap_box_content\">\n<ul class=\"wp-block-list\">\n<li>\\(x, y\\)\u306e\u5e73\u5747\u5024\u3092\u6c42\u3081\u308b<\/li>\n\n\n\n<li>\u305d\u308c\u305e\u308c\u306e\u504f\u5dee\u3092\u6c42\u3081\u308b<\/li>\n\n\n\n<li>\u504f\u5dee\u306e\u7a4d\u306e\u5e73\u5747\u5024\u3092\u6c42\u3081\u308b<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" width=\"662\" height=\"240\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u7df4\u7fd2\u554f\u984c2jpg.jpg\" alt=\"\u5171\u5206\u6563\uff1c\u7df4\u7fd2\u554f\u984c\uff1e\" class=\"wp-image-3246\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u7df4\u7fd2\u554f\u984c2jpg.jpg 662w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u7df4\u7fd2\u554f\u984c2jpg-300x109.jpg 300w\" sizes=\"(max-width: 662px) 100vw, 662px\" \/><\/figure>\n<\/div>\n\n\n<p><span class=\"oomozi\">1.x,y\u306e\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=\"660\" height=\"239\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u7df4\u7fd2\u554f\u984c3jpg.jpg\" alt=\"\u5171\u5206\u6563\uff1c\u7df4\u7fd2\u554f\u984c\uff1e\" class=\"wp-image-3247\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u7df4\u7fd2\u554f\u984c3jpg.jpg 660w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u7df4\u7fd2\u554f\u984c3jpg-300x109.jpg 300w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/figure>\n<\/div>\n\n\n<p><span class=\"oomozi\">2.\u305d\u308c\u305e\u308c\u306e\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=\"660\" height=\"239\" src=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u7df4\u7fd2\u554f\u984c4jpg.jpg\" alt=\"\u5171\u5206\u6563\uff1c\u7df4\u7fd2\u554f\u984c\uff1e\" class=\"wp-image-3248\" srcset=\"https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u7df4\u7fd2\u554f\u984c4jpg.jpg 660w, https:\/\/math-travel.jp\/wp-content\/uploads\/2020\/12\/\u7df4\u7fd2\u554f\u984c4jpg-300x109.jpg 300w\" sizes=\"(max-width: 660px) 100vw, 660px\" \/><\/figure>\n<\/div>\n\n\n<p><span class=\"oomozi\">3.\u504f\u5dee\u306e\u7a4d\u306e\u5e73\u5747\u5024\u3092\u6c42\u3081\u308b<\/span><br><\/p>\n\n\n\n<p>\u3057\u305f\u304c\u3063\u3066\u3001<span class=\"yello-hoso\">\u6c42\u3081\u308b\u5171\u5206\u6563\u306f380\u3067\u3042\u308b\u3002<\/span><\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"matome\">\u5171\u5206\u6563\u306e\u6c42\u3081\u65b9\u3000\u307e\u3068\u3081<\/h2>\n\n\n\n<p>\u4eca\u56de\u306f\u6570\u2160\u30c7\u30fc\u30bf\u306e\u5206\u6790\u306e\u306a\u304b\u3067\u3082\u300c\u5171\u5206\u6563\u300d\u306b\u3064\u3044\u3066\u89e3\u8aac\u3057\u307e\u3057\u305f\u3002<\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5171\u5206\u6563\u306e\u516c\u5f0f\u2460<\/span><\/div><div class=\"cap_box_content\">\n<p>\\(x\\)\u3068\\(y\\)\u306e\u5171\u5206\u6563\\(s_{xy}\\)\u306f\u6b21\u306e\u516c\u5f0f\u3067\u6c42\u3081\u308b<\/p>\n\n\n\n<p>\\[\\displaystyle s_{xy}=\\frac{1}{n} \\sum_{i=0}^n (x_i -\\overline{x})(y_i -\\overline{y})\\]<\/p>\n\n\n\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><\/div>\n\n\n\n<p><a href=\"#motomekata1\">&gt;&gt;\u89e3\u8aac\u306b\u623b\u308b<\/a><\/p>\n\n\n\n<div class=\"swell-block-capbox cap_box\"><div class=\"cap_box_ttl\"><span>\u5171\u5206\u6563\u306e\u516c\u5f0f\u2461<\/span><\/div><div class=\"cap_box_content\">\n<p>\\(x\\)\u3068\\(y\\)\u306e\u5171\u5206\u6563\\(s_{xy}\\)\u306f\u6b21\u306e\u516c\u5f0f\u3067\u6c42\u3081\u308b<\/p>\n\n\n\n<p>\\[\\displaystyle s_{xy}=\\frac{1}{n} \\sum_{i=0}^n x_i y_i &#8211; \\overline{x} \\overline{y}\\]<\/p>\n\n\n\n<p>\u3059\u306a\u308f\u3061<\/p>\n\n\n\n<p>\\[\\displaystyle s_{xy}=\\overline{xy}- \\overline{x} \\overline{y}\\]<\/p>\n\n\n\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><\/div>\n\n\n\n<p><a href=\"#motomekata2\">&gt;&gt;\u89e3\u8aac\u306b\u623b\u308b<\/a><\/p>\n\n\n\n<p>\u5171\u5206\u6563\u306f\u300c\u30c7\u30fc\u30bf\u306e\u5206\u6790\u300d\u306e\u306a\u304b\u3067\u3082\u96e3\u3057\u3044\u307b\u3046\u3067\u3059\u3002<\/p>\n\n\n\n<p>\u307e\u305a\u306f\u89e3\u304d\u65b9\u3092\u899a\u3048\u3089\u308c\u308b\u3088\u3046\u306b\u554f\u984c\u96c6\u3067\u7e70\u308a\u8fd4\u3057\u7df4\u7fd2\u3057\u307e\u3057\u3087\u3046\u3002<\/p>\n\n\n\n<p><span class=\"huto\">\u30c7\u30fc\u30bf\u306e\u5206\u6790\u306b\u306f\u91cd\u8981\u306a\u516c\u5f0f\u304c\u305f\u304f\u3055\u3093\u3042\u308a\u307e\u3059\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5171\u5206\u6563\u3068\u306f\uff0c\u4e8c\u7d44\u306e\u5bfe\u5fdc\u3059\u308b\u30c7\u30fc\u30bf\u306e\u9593\u306e\u95a2\u4fc2\u3092\u8868\u3059\u6570\u5024\u3067\u3059\u3002 \u5165\u529b\u3057\u305f\u5024\u306e\u5171\u5206\u6563\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: \u5171\u5206\u6563\u306f\u300cX\u306e\u504f\u5dee\u00d7Y\u306e\u504f\u5dee\u300d\u306e\u5e73\u5747\u3067\u8868\u3055\u308c\u3001 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":5165,"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-3241","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\/ -->\n<title>\u5171\u5206\u6563\u306e\u516c\u5f0f\u3068\u6c42\u3081\u65b9\uff1a2\u3064\u306e\u5909\u6570\u306e\u95a2\u4fc2\u6027\u3092\u6570\u5024\u5316\u3059\u308b\u4ed5\u7d44\u307f\u3092\u56f3\u89e3\u3067\u7406\u89e3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/math-travel.jp\/math-1\/covariance\/\" \/>\n<meta property=\"og:locale\" content=\"ja_JP\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u5171\u5206\u6563\u306e\u516c\u5f0f\u3068\u6c42\u3081\u65b9\uff1a2\u3064\u306e\u5909\u6570\u306e\u95a2\u4fc2\u6027\u3092\u6570\u5024\u5316\u3059\u308b\u4ed5\u7d44\u307f\u3092\u56f3\u89e3\u3067\u7406\u89e3\" \/>\n<meta property=\"og:description\" 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