{"id":478803,"date":"2023-08-09T09:38:20","date_gmt":"2023-08-09T09:38:20","guid":{"rendered":""},"modified":"2023-09-05T11:17:36","modified_gmt":"2023-09-05T11:17:36","slug":"r-squared","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/cn\/wiki\/r-squared\/","title":{"rendered":"R \u5e73\u65b9"},"content":{"rendered":"<p>R \u5e73\u65b9\uff0c\u4e5f\u79f0\u4e3a\u51b3\u5b9a\u7cfb\u6570\uff0c\u662f\u4e00\u79cd\u7edf\u8ba1\u5ea6\u91cf\uff0c\u8868\u793a\u7531\u56de\u5f52\u6a21\u578b\u4e2d\u7684\u4e00\u4e2a\u6216\u591a\u4e2a\u81ea\u53d8\u91cf\u89e3\u91ca\u7684\u56e0\u53d8\u91cf\u7684\u65b9\u5dee\u6bd4\u4f8b\u3002\u5b83\u53ef\u4ee5\u6df1\u5165\u4e86\u89e3\u6a21\u578b\u7684\u9884\u6d4b\u4e0e\u5b9e\u9645\u6570\u636e\u7684\u5339\u914d\u7a0b\u5ea6\u3002<\/p>\n<h2>R \u5e73\u65b9\u7684\u8d77\u6e90\u548c\u9996\u6b21\u63d0\u53ca\u7684\u5386\u53f2<\/h2>\n<p>R \u5e73\u65b9\u7684\u6982\u5ff5\u53ef\u4ee5\u8ffd\u6eaf\u5230 20 \u4e16\u7eaa\u521d\uff0c\u5f53\u65f6\u5b83\u9996\u6b21\u51fa\u73b0\u5728\u76f8\u5173\u6027\u548c\u56de\u5f52\u5206\u6790\u7684\u80cc\u666f\u4e0b\u3002\u5361\u5c14\u00b7\u76ae\u5c14\u900a\u88ab\u8ba4\u4e3a\u662f\u76f8\u5173\u6027\u6982\u5ff5\u7684\u5148\u9a71\uff0c\u800c\u5f17\u6717\u897f\u65af\u00b7\u9ad8\u5c14\u987f\u7235\u58eb\u7684\u5de5\u4f5c\u4e3a\u56de\u5f52\u5206\u6790\u5960\u5b9a\u4e86\u57fa\u7840\u3002\u5982\u4eca\u4f17\u6240\u5468\u77e5\u7684 R \u5e73\u65b9\u6307\u6807\u5728 20 \u4e16\u7eaa 20 \u5e74\u4ee3\u548c 30 \u5e74\u4ee3\u5f00\u59cb\u53d7\u5230\u5173\u6ce8\uff0c\u6210\u4e3a\u603b\u7ed3\u6a21\u578b\u62df\u5408\u5ea6\u7684\u6709\u7528\u5de5\u5177\u3002<\/p>\n<h2>\u6709\u5173 R \u5e73\u65b9\u7684\u8be6\u7ec6\u4fe1\u606f\uff1a\u6269\u5c55\u4e3b\u9898<\/h2>\n<p>R \u5e73\u65b9\u7684\u8303\u56f4\u662f 0 \u5230 1\uff0c\u5176\u4e2d 0 \u8868\u793a\u6a21\u578b\u4e0d\u80fd\u89e3\u91ca\u54cd\u5e94\u53d8\u91cf\u4e2d\u7684\u4efb\u4f55\u53d8\u5f02\u6027\uff0c\u800c 1 \u8868\u793a\u6a21\u578b\u5b8c\u7f8e\u5730\u89e3\u91ca\u4e86\u53d8\u5f02\u6027\u3002\u8ba1\u7b97 R \u5e73\u65b9\u7684\u516c\u5f0f\u5982\u4e0b\uff1a<\/p>\n<p><span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math ><semantics><mrow><msup><mi>\u53f3<\/mi><mn>2<\/mn><\/msup><mo>=<\/mo><mn>1<\/mn><mo>\u2212<\/mo><mfrac><mrow><mi>S<\/mi><msub><mi>S<\/mi><mtext>\u6c34\u5e93<\/mtext><\/msub><\/mrow><mrow><mi>S<\/mi><msub><mi>S<\/mi><mtext>\u603b\u8ba1<\/mtext><\/msub><\/mrow><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\"> R^2 = 1 \u2013 frac{SS_{text{res}}}{SS_{text{tot}}}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.00773em;\">\u53f3<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em;\"><span style=\"top: -3.063em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em; vertical-align: -0.0833em;\"><\/span><span class=\"mord\">1<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em;\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.3335em; vertical-align: -0.4451em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8884em;\"><span style=\"top: -2.655em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.05764em;\">S<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.05764em;\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2963em;\"><span style=\"top: -2.357em; margin-left: -0.0576em; margin-right: 0.0714em;\"><span class=\"pstrut\" style=\"height: 2.5em;\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">\u603b\u8ba1<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span style=\"top: -3.23em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em;\"><\/span><\/span><span style=\"top: -3.4101em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.05764em;\">S<\/span><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.05764em;\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1645em;\"><span style=\"top: -2.357em; margin-left: -0.0576em; margin-right: 0.0714em;\"><span class=\"pstrut\" style=\"height: 2.5em;\"><\/span><span class=\"sizing reset-size3 size1 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">\u6c34\u5e93<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.143em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.4451em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>\u5728\u54ea\u91cc <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math ><semantics><mrow><mi>S<\/mi><msub><mi>S<\/mi><mtext>\u6c34\u5e93<\/mtext><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">SS_{\u6587\u672c{\u8d44\u6e90}}}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em; vertical-align: -0.15em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.05764em;\">S<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.05764em;\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.1514em;\"><span style=\"top: -2.55em; margin-left: -0.0576em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">\u6c34\u5e93<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u6b8b\u5dee\u5e73\u65b9\u548c\uff0c\u5e76\u4e14 <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math ><semantics><mrow><mi>S<\/mi><msub><mi>S<\/mi><mtext>\u603b\u8ba1<\/mtext><\/msub><\/mrow><annotation encoding=\"application\/x-tex\">SS_{\u6587\u672c{tot}}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8333em; vertical-align: -0.15em;\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.05764em;\">S<\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.05764em;\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.2806em;\"><span style=\"top: -2.55em; margin-left: -0.0576em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\"><span class=\"mord mtight\">\u603b\u8ba1<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.15em;\"><span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u662f\u603b\u5e73\u65b9\u548c\u3002<\/p>\n<h2>R \u5e73\u65b9\u7684\u5185\u90e8\u7ed3\u6784\uff1aR \u5e73\u65b9\u7684\u5de5\u4f5c\u539f\u7406<\/h2>\n<p>R \u5e73\u65b9\u662f\u4f7f\u7528\u603b\u53d8\u5f02\u4e2d\u7684\u89e3\u91ca\u53d8\u5f02\u6765\u8ba1\u7b97\u7684\u3002\u5b83\u7684\u5de5\u4f5c\u539f\u7406\u5982\u4e0b\uff1a<\/p>\n<ol>\n<li><strong>\u8ba1\u7b97\u603b\u5e73\u65b9\u548c\uff08SST\uff09\uff1a<\/strong> \u5b83\u6d4b\u91cf\u89c2\u5bdf\u5230\u7684\u6570\u636e\u7684\u603b\u4f53\u65b9\u5dee\u3002<\/li>\n<li><strong>\u8ba1\u7b97\u56de\u5f52\u5e73\u65b9\u548c (SSR)\uff1a<\/strong> \u5b83\u8861\u91cf\u7ebf\u6761\u4e0e\u6570\u636e\u7684\u62df\u5408\u7a0b\u5ea6\u3002<\/li>\n<li><strong>\u8ba1\u7b97\u8bef\u5dee\u5e73\u65b9\u548c\uff08SSE\uff09\uff1a<\/strong> \u5b83\u6d4b\u91cf\u89c2\u6d4b\u503c\u548c\u9884\u6d4b\u503c\u4e4b\u95f4\u7684\u5dee\u5f02\u3002<\/li>\n<li><strong>\u8ba1\u7b97 R \u5e73\u65b9\uff1a<\/strong> \u516c\u5f0f\u7531\u4e0b\u5f0f\u7ed9\u51fa\uff1a <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math ><semantics><mrow><msup><mi>\u53f3<\/mi><mn>2<\/mn><\/msup><mo>=<\/mo><mfrac><mrow><mi>S<\/mi><mi>S<\/mi><mi>\u53f3<\/mi><\/mrow><mrow><mi>S<\/mi><mi>S<\/mi><mi>\u7535\u89c6<\/mi><\/mrow><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">R^2 = \u5206\u5f62{SSR}{SST}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.00773em;\">\u53f3<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em;\"><span style=\"top: -3.063em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.2173em; vertical-align: -0.345em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8723em;\"><span style=\"top: -2.655em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.13889em;\">\u6d77\u6e29<\/span><\/span><\/span><\/span><span style=\"top: -3.23em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em;\"><\/span><\/span><span style=\"top: -3.394em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.00773em;\">\u56fa\u6001\u7ee7\u7535\u5668<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span><\/li>\n<\/ol>\n<h2>R \u5e73\u65b9\u7684\u5173\u952e\u7279\u5f81\u5206\u6790<\/h2>\n<ul>\n<li><strong>\u8303\u56f4\uff1a<\/strong> 0 \u5230 1<\/li>\n<li><strong>\u89e3\u91ca\uff1a<\/strong> R \u5e73\u65b9\u503c\u8d8a\u9ad8\uff0c\u8868\u793a\u62df\u5408\u6548\u679c\u8d8a\u597d\u3002<\/li>\n<li><strong>\u9650\u5236\uff1a<\/strong> \u5b83\u65e0\u6cd5\u786e\u5b9a\u7cfb\u6570\u4f30\u8ba1\u662f\u5426\u6709\u504f\u5dee\u3002<\/li>\n<li><strong>\u7075\u654f\u5ea6\uff1a<\/strong> \u5bf9\u4e8e\u8bb8\u591a\u9884\u6d4b\u56e0\u7d20\u6765\u8bf4\uff0c\u5b83\u53ef\u80fd\u8fc7\u4e8e\u4e50\u89c2\u3002<\/li>\n<\/ul>\n<h2>R \u5e73\u65b9\u7684\u7c7b\u578b\uff1a\u5206\u7c7b\u548c\u5dee\u5f02<\/h2>\n<p>\u4e0d\u540c\u573a\u666f\u4e0b\u4f1a\u4f7f\u7528\u51e0\u79cd\u7c7b\u578b\u7684 R \u5e73\u65b9\u3002\u4e0b\u8868\u603b\u7ed3\u4e86\u8fd9\u4e9b\u7c7b\u578b\uff1a<\/p>\n<table>\n<thead>\n<tr>\n<th>\u7c7b\u578b<\/th>\n<th>\u63cf\u8ff0<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u7ecf\u5178R^2<\/td>\n<td>\u5e38\u7528\u4e8e\u7ebf\u6027\u56de\u5f52<\/td>\n<\/tr>\n<tr>\n<td>\u8c03\u6574\u540e\u7684R^2<\/td>\n<td>\u60e9\u7f5a\u6dfb\u52a0\u4e0d\u76f8\u5173\u7684\u9884\u6d4b\u53d8\u91cf<\/td>\n<\/tr>\n<tr>\n<td>\u9884\u6d4b R^2<\/td>\n<td>\u8bc4\u4f30\u6a21\u578b\u5bf9\u65b0\u6570\u636e\u7684\u9884\u6d4b\u80fd\u529b<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u4f7f\u7528 R \u5e73\u65b9\u7684\u65b9\u6cd5\u3001\u95ee\u9898\u53ca\u5176\u89e3\u51b3\u65b9\u6848<\/h2>\n<h3>\u4f7f\u7528\u65b9\u6cd5\uff1a<\/h3>\n<ul>\n<li><strong>\u6a21\u578b\u8bc4\u4f30\uff1a<\/strong> \u8bc4\u4f30\u62df\u5408\u4f18\u5ea6\u3002<\/li>\n<li><strong>\u578b\u53f7\u6bd4\u8f83\uff1a<\/strong> \u786e\u5b9a\u6700\u4f73\u9884\u6d4b\u53d8\u91cf\u3002<\/li>\n<\/ul>\n<h3>\u95ee\u9898\uff1a<\/h3>\n<ul>\n<li><strong>\u8fc7\u62df\u5408\uff1a<\/strong> \u6dfb\u52a0\u592a\u591a\u53d8\u91cf\u53ef\u80fd\u4f1a\u4f7f R \u65b9\u81a8\u80c0\u3002<\/li>\n<\/ul>\n<h3>\u89e3\u51b3\u65b9\u6848\uff1a<\/h3>\n<ul>\n<li><strong>\u4f7f\u7528\u8c03\u6574\u540e\u7684 R \u5e73\u65b9\uff1a<\/strong> \u5b83\u8bf4\u660e\u4e86\u9884\u6d4b\u53d8\u91cf\u7684\u6570\u91cf\u3002<\/li>\n<li><strong>\u4ea4\u53c9\u9a8c\u8bc1\uff1a<\/strong> \u8bc4\u4f30\u7ed3\u679c\u5982\u4f55\u63a8\u5e7f\u5230\u72ec\u7acb\u6570\u636e\u96c6\u3002<\/li>\n<\/ul>\n<h2>\u4e3b\u8981\u7279\u70b9\u53ca\u540c\u7c7b\u4ea7\u54c1\u6bd4\u8f83<\/h2>\n<ul>\n<li><strong>R \u5e73\u65b9\u4e0e\u8c03\u6574\u540e\u7684 R \u5e73\u65b9\uff1a<\/strong> \u8c03\u6574\u540e\u7684 R \u5e73\u65b9\u8003\u8651\u4e86\u9884\u6d4b\u53d8\u91cf\u7684\u6570\u91cf\u3002<\/li>\n<li><strong>R \u5e73\u65b9\u4e0e\u76f8\u5173\u7cfb\u6570 (r)\uff1a<\/strong> R \u5e73\u65b9\u662f\u76f8\u5173\u7cfb\u6570\u7684\u5e73\u65b9\u3002<\/li>\n<\/ul>\n<h2>\u4e0e R \u5e73\u65b9\u76f8\u5173\u7684\u672a\u6765\u524d\u666f\u548c\u6280\u672f<\/h2>\n<p>\u673a\u5668\u5b66\u4e60\u548c\u7edf\u8ba1\u5efa\u6a21\u7684\u672a\u6765\u8fdb\u6b65\u53ef\u80fd\u4f1a\u5bfc\u81f4 R \u5e73\u65b9\u7684\u66f4\u7ec6\u5fae\u53d8\u5316\u7684\u5f00\u53d1\uff0c\u4ece\u800c\u53ef\u4ee5\u4e3a\u590d\u6742\u6570\u636e\u96c6\u63d0\u4f9b\u66f4\u6df1\u5165\u7684\u6d1e\u5bdf\u3002<\/p>\n<h2>\u5982\u4f55\u4f7f\u7528\u4ee3\u7406\u670d\u52a1\u5668\u6216\u5c06\u5176\u4e0e R \u5e73\u65b9\u5173\u8054<\/h2>\n<p>\u4ee3\u7406\u670d\u52a1\u5668\uff08\u4f8b\u5982 OneProxy \u63d0\u4f9b\u7684\u4ee3\u7406\u670d\u52a1\u5668\uff09\u53ef\u4ee5\u901a\u8fc7\u786e\u4fdd\u5b89\u5168\u548c\u533f\u540d\u7684\u6570\u636e\u6536\u96c6\u6765\u4e0e\u6d89\u53ca R \u5e73\u65b9\u7684\u7edf\u8ba1\u5206\u6790\u7ed3\u5408\u4f7f\u7528\u3002\u5b89\u5168\u5730\u8bbf\u95ee\u6570\u636e\u53ef\u4ee5\u5b9e\u73b0\u66f4\u51c6\u786e\u7684\u5efa\u6a21\uff0c\u4ece\u800c\u5b9e\u73b0\u66f4\u53ef\u9760\u7684 R \u5e73\u65b9\u8ba1\u7b97\u3002<\/p>\n<h2>\u76f8\u5173\u94fe\u63a5<\/h2>\n<ul>\n<li><a href=\"https:\/\/www.khanacademy.org\/\" target=\"_new\" rel=\"noopener nofollow\">\u53ef\u6c57\u5b66\u9662\uff1a\u7406\u89e3 R \u5e73\u65b9<\/a><\/li>\n<li><a href=\"https:\/\/www.r-project.org\/\" target=\"_new\" rel=\"noopener nofollow\">\u5177\u6709 R \u5e73\u65b9\u8ba1\u7b97\u529f\u80fd\u7684\u7edf\u8ba1\u8f6f\u4ef6<\/a><\/li>\n<li><a href=\"https:\/\/oneproxy.pro\/cn\/\" target=\"_new\" rel=\"noopener\">OneProxy\uff1a\u7528\u4e8e\u6570\u636e\u6536\u96c6\u7684\u5b89\u5168\u4ee3\u7406\u670d\u52a1\u5668<\/a><\/li>\n<\/ul>","protected":false},"featured_media":470395,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-478803","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>R-squared: A Comprehensive Guide<\/mark>","faq_items":[{"question":"What is R-squared and why is it important?","answer":"<p>R-squared, or the coefficient of determination, is a statistical measure that indicates the proportion of variance for a dependent variable that's explained by an independent variable or variables in a regression model. It helps in assessing how well a model's predictions match the actual data, making it an essential tool in regression analysis.<\/p>"},{"question":"What is the history of the origin of R-squared?","answer":"<p>R-squared originated in the early 20th century, building upon the work of Karl Pearson and Sir Francis Galton in the fields of correlation and regression analysis. The concept as it is known today began to take shape in the 1920s and '30s.<\/p>"},{"question":"How is R-squared calculated?","answer":"<p>R-squared is calculated by dividing the regression sum of squares (SSR) by the total sum of squares (SST). The formula is given by: <span class=\"math math-inline\"><span class=\"katex\"><span class=\"katex-mathml\"><math ><semantics><mrow><msup><mi>R<\/mi><mn>2<\/mn><\/msup><mo>=<\/mo><mfrac><mrow><mi>S<\/mi><mi>S<\/mi><mi>R<\/mi><\/mrow><mrow><mi>S<\/mi><mi>S<\/mi><mi>T<\/mi><\/mrow><\/mfrac><\/mrow><annotation encoding=\"application\/x-tex\">R^2 = frac{SSR}{SST}<\/annotation><\/semantics><\/math><\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em;\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.00773em;\">R<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em;\"><span style=\"top: -3.063em; margin-right: 0.05em;\"><span class=\"pstrut\" style=\"height: 2.7em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2778em;\"><\/span><span class=\"mrel\">=<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em;\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.2173em; vertical-align: -0.345em;\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8723em;\"><span style=\"top: -2.655em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.13889em;\">SST<\/span><\/span><\/span><\/span><span style=\"top: -3.23em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em;\"><\/span><\/span><span style=\"top: -3.394em;\"><span class=\"pstrut\" style=\"height: 3em;\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.00773em;\">SSR<\/span><\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.345em;\"><span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span>, where SSR measures how well the line fits the data, and SST measures the total variance in the observed data.<\/p>"},{"question":"What are the different types of R-squared?","answer":"<p>There are several types of R-squared, including Classic R^2 used in linear regression, Adjusted R^2 that penalizes irrelevant predictors, and Predicted R^2 that evaluates the model's predictive ability on new data.<\/p>"},{"question":"What are some common problems with R-squared and their solutions?","answer":"<p>Common problems include overfitting, where adding too many variables inflates R-squared. Solutions include using Adjusted R-squared, which accounts for the number of predictors, and employing cross-validation techniques to evaluate how results generalize to an independent dataset.<\/p>"},{"question":"How are proxy servers like OneProxy related to R-squared?","answer":"<p>Proxy servers, such as those provided by OneProxy, can be associated with R-squared by ensuring secure and anonymous data collection for statistical analysis. This allows for more accurate modeling and reliable R-squared computations.<\/p>"},{"question":"What are the future prospects related to R-squared?","answer":"<p>Future advancements in technologies like machine learning may lead to the development of more nuanced versions of R-squared, providing deeper insights into complex data sets.<\/p>"},{"question":"Where can I find more resources and information about R-squared?","answer":"<p>You can explore resources like Khan Academy for understanding R-squared, the R Project for statistical software, and OneProxy for secure proxy servers related to data collection. Links to these resources are provided in the Related Links section of the article.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/cn\/wp-json\/wp\/v2\/wiki\/478803","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/cn\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/cn\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/cn\/wp-json\/wp\/v2\/wiki\/478803\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/cn\/wp-json\/wp\/v2\/media\/470395"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/cn\/wp-json\/wp\/v2\/media?parent=478803"}],"curies":[{"name":"\u53ef\u6e7f\u6027\u7c89\u5242","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}