{"id":1327,"date":"2024-01-07T16:04:29","date_gmt":"2024-01-07T08:04:29","guid":{"rendered":"https:\/\/edu.secda.info\/scu12354014\/?p=1327"},"modified":"2024-01-07T18:06:39","modified_gmt":"2024-01-07T10:06:39","slug":"%e8%a8%88%e9%87%8f%e7%b6%93%e6%bf%9f%e5%ad%b8%e4%bd%9c%e6%a5%ad-u6-%e5%85%b7%e6%9c%89%e5%a4%9a%e5%80%8b%e5%9b%9e%e6%ad%b8%e8%ae%8a%e6%95%b8%e7%9a%84%e5%9b%9e%e6%ad%b8%e6%a8%a1%e5%9e%8b","status":"publish","type":"post","link":"https:\/\/edu.secda.info\/scu12354014\/?p=1327","title":{"rendered":"\u8a08\u91cf\u7d93\u6fdf\u5b78\u4f5c\u696d U6 \u5177\u6709\u591a\u500b\u56de\u6b78\u8b8a\u6578\u7684\u56de\u6b78\u6a21\u578b"},"content":{"rendered":"<p><span style=\"color: #0000ff;\"><strong>6.1 \u907a\u6f0f\u8b8a\u6578\u504f\u5dee<\/strong><\/span><\/p>\n<p>\u55ae\u4e00\u56de\u6b78\u8b8a\u6578\u7684\u8ff4\u6b78\u4e2d\u7684\u907a\u6f0f\u8b8a\u6578\u504f\u5dee<\/p>\n<p>\u907a\u6f0f\u8b8a\u6578\u504f\u5dee\u662f\u7576\u56de\u6b78\u8b8a\u6578X\u8207\u907a\u6f0f\u8b8a\u6578\u76f8\u95dc\u6642\uff0cOLS \u4f30\u8a08\u91cf\u4e2d\u7684\u504f\u5dee\u3002\u8981\u7522\u751f\u907a\u6f0f\u8b8a\u6578\u504f\u5dee\uff0c\u5fc5\u9808\u6eff\u8db3\u5169\u500b\u689d\u4ef6\uff1a<\/p>\n<ol>\n<li><span class=\"math inline\" data-immersive-translate-walked=\"987469e6-24ee-4269-b698-a266d5589981\"><span id=\"MathJax-Element-3-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"-webkit-font-smoothing: antialiased; box-sizing: border-box; -webkit-tap-highlight-color: transparent; text-size-adjust: none; display: inline-table; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.6px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;X&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-7\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-8\" class=\"mjx-mrow\"><span id=\"MJXc-Node-9\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">X<\/span><\/span><\/span><\/span><\/span><\/span>\u8207\u907a\u6f0f\u8b8a\u6578\u76f8\u95dc\u3002<\/li>\n<li>\u907a\u6f0f\u8b8a\u6578\u662f\u4f9d\u8b8a\u6578\u00a0<span class=\"math inline\" data-immersive-translate-walked=\"987469e6-24ee-4269-b698-a266d5589981\"><span id=\"MathJax-Element-4-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"-webkit-font-smoothing: antialiased; box-sizing: border-box; -webkit-tap-highlight-color: transparent; text-size-adjust: none; display: inline-table; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.6px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;Y&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-10\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-11\" class=\"mjx-mrow\"><span id=\"MJXc-Node-12\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">Y<\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u6c7a\u5b9a\u56e0\u7d20\u3002<\/li>\n<\/ol>\n<p>CASchools$STR &lt;- CASchools$students\/CASchools$teachers<br \/>\nCASchools$score &lt;- (CASchools$read + CASchools$math)\/2<\/p>\n<p>cor(CASchools$STR, CASchools$score)<\/p>\n<p>cor(CASchools$STR, CASchools$english)<\/p>\n<p>\u8003\u616e\u6703\u8aaa\u3001\u8b80\u548c\u5beb\u82f1\u8a9e\u7684\u80fd\u529b\u53ef\u80fd\u662f\u5b78\u7fd2\u53eb\u597d\u7684\u4e00\u500b\u91cd\u8981\u56e0\u7d20\uff1a<\/p>\n<blockquote><p>mod &lt;- lm(score ~ STR, data = CASchools)<br \/>\nmult.mod &lt;- lm(score ~ STR + english, data = CASchools)<\/p><\/blockquote>\n<pre class=\"sourceCode r\">mod\r\nCoefficients:\r\n(Intercept) STR \r\n   698.93 <span style=\"color: #ff0000;\"><strong>-2.28<\/strong><\/span>\r\n\r\nmult.mod\r\nCoefficients:\r\n(Intercept) STR    english \r\n 686.0322 <strong><span style=\"color: #ff0000;\">-1.1013  -0.6498<\/span><\/strong><\/pre>\n<p>OLS\u4f30\u8a08^\u03b21\u8868\u660e\u5c0f\u73ed\u5236\u53ef\u4ee5\u63d0\u9ad8\u8003\u8a66\u6210\u7e3e\uff0c\u4f46\u5c0f\u73ed\u5236\u7684\u6548\u679c\u88ab\u9ad8\u4f30\u4e86\uff0c\uff0c\u5373\u00a0<span class=\"math inline\" data-immersive-translate-walked=\"af7501bb-0ff5-4b4b-938a-e240174d1190\"><span id=\"MathJax-Element-25-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"-webkit-font-smoothing: antialiased; box-sizing: border-box; -webkit-tap-highlight-color: transparent; text-size-adjust: none; display: inline-table; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.6px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;S&lt;\/mi&gt;&lt;mi&gt;T&lt;\/mi&gt;&lt;mi&gt;R&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-260\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-261\" class=\"mjx-mrow\"><span id=\"MJXc-Node-262\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">S<\/span><\/span><span id=\"MJXc-Node-263\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">TR<\/span><\/span><\/span><\/span><\/span><\/span>\u7684\u4fc2\u6578\uff0c\u5728\u7d55\u5c0d\u503c\u4e0a\u6703\u592a\u5927\u3002<\/p>\n<hr \/>\n<p><span style=\"color: #0000ff;\"><strong>6.2 \u591a\u91cd\u56de\u6b78\u6a21\u578b<\/strong><\/span><\/p>\n<p><span id=\"MJXc-Node-294\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-295\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">Y<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-296\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">i<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-297\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-298\" class=\"mjx-msubsup MJXc-space3\"><span class=\"mjx-base\"><span id=\"MJXc-Node-299\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03b2<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-300\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">0<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-301\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-302\" class=\"mjx-msubsup MJXc-space2\"><span class=\"mjx-base\"><span id=\"MJXc-Node-303\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03b2<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-304\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-305\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-306\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">X<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-307\" class=\"mjx-texatom\"><span id=\"MJXc-Node-308\" class=\"mjx-mrow\"><span id=\"MJXc-Node-309\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><span id=\"MJXc-Node-310\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">i<\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-311\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-312\" class=\"mjx-msubsup MJXc-space2\"><span class=\"mjx-base\"><span id=\"MJXc-Node-313\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03b2<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-314\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-315\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-316\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">X<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-317\" class=\"mjx-texatom\"><span id=\"MJXc-Node-318\" class=\"mjx-mrow\"><span id=\"MJXc-Node-319\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><span id=\"MJXc-Node-320\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">i<\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-321\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-322\" class=\"mjx-msubsup MJXc-space2\"><span class=\"mjx-base\"><span id=\"MJXc-Node-323\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03b2<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-324\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">3<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-325\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-326\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">X<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-327\" class=\"mjx-texatom\"><span id=\"MJXc-Node-328\" class=\"mjx-mrow\"><span id=\"MJXc-Node-329\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">3<\/span><\/span><span id=\"MJXc-Node-330\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">i<\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-331\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-332\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u22ef<\/span><\/span><span id=\"MJXc-Node-333\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-334\" class=\"mjx-msubsup MJXc-space2\"><span class=\"mjx-base\"><span id=\"MJXc-Node-335\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03b2<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-336\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">k<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-337\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-338\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">X<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-339\" class=\"mjx-texatom\"><span id=\"MJXc-Node-340\" class=\"mjx-mrow\"><span id=\"MJXc-Node-341\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">k<\/span><\/span><span id=\"MJXc-Node-342\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">i<\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-343\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-344\" class=\"mjx-msubsup MJXc-space2\"><span class=\"mjx-base\"><span id=\"MJXc-Node-345\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">u<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-346\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">i<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-347\" class=\"mjx-mtext\"><span class=\"mjx-char MJXc-TeX-main-R\">\u00a0<\/span><\/span><span id=\"MJXc-Node-348\" class=\"mjx-mtext\"><span class=\"mjx-char MJXc-TeX-main-R\">\u00a0<\/span><\/span><span id=\"MJXc-Node-349\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">,<\/span><\/span><span id=\"MJXc-Node-350\" class=\"mjx-mtext MJXc-space1\"><span class=\"mjx-char MJXc-TeX-main-R\">\u00a0<\/span><\/span><span id=\"MJXc-Node-351\" class=\"mjx-mtext\"><span class=\"mjx-char MJXc-TeX-main-R\">\u00a0<\/span><\/span><span id=\"MJXc-Node-352\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">i<\/span><\/span><span id=\"MJXc-Node-353\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-354\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><span id=\"MJXc-Node-355\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">,<\/span><\/span><span id=\"MJXc-Node-356\" class=\"mjx-mo MJXc-space1\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2026<\/span><\/span><span id=\"MJXc-Node-357\" class=\"mjx-mo MJXc-space1\"><span class=\"mjx-char MJXc-TeX-main-R\">,<\/span><\/span><span id=\"MJXc-Node-358\" class=\"mjx-mi MJXc-space1\"><span class=\"mjx-char MJXc-TeX-math-I\">n<\/span><\/span><span id=\"MJXc-Node-359\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">.<\/span><\/span><\/p>\n<blockquote><p>summary(mult.mod)$coef<\/p><\/blockquote>\n<p>Estimate\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Std. Error\u00a0 \u00a0 \u00a0 \u00a0 t value\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Pr(&gt;|t|)<br \/>\n(Intercept)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 686.0322445\u00a0 \u00a0 \u00a0 7.41131160\u00a0 \u00a0 \u00a0 \u00a0 \u00a092.565565\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a03.871327e-280<br \/>\nSTR &#8211;\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a01.1012956\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 0.38027827\u00a0 \u00a0 \u00a0 \u00a0 -2.896026\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a03.978059e-03<br \/>\nenglish\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 -0.6497768\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a00.03934254\u00a0 \u00a0 \u00a0 \u00a0-16.515882\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a01.657448e-47<\/p>\n<p><span id=\"MJXc-Node-821\" class=\"mjx-texatom\"><span id=\"MJXc-Node-822\" class=\"mjx-mrow\"><span id=\"MJXc-Node-823\" class=\"mjx-munderover\"><span class=\"mjx-stack\"><span class=\"mjx-op\"><span id=\"MJXc-Node-824\" class=\"mjx-mrow\"><span id=\"MJXc-Node-825\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u56e0\u6b64\uff0c\u4f30\u8a08\u7684\u591a\u91cd\u8ff4\u6b78\u6a21\u578b\u662fT<\/span><\/span><span id=\"MJXc-Node-826\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">e<\/span><\/span><span id=\"MJXc-Node-827\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">s<\/span><\/span><span id=\"MJXc-Node-828\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">t<\/span><\/span><span id=\"MJXc-Node-829\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">S<\/span><\/span><span id=\"MJXc-Node-830\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">c<\/span><\/span><span id=\"MJXc-Node-831\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">o<\/span><\/span><span id=\"MJXc-Node-832\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">r<\/span><\/span><span id=\"MJXc-Node-833\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">e<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-835\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-836\" class=\"mjx-mn MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">686.03<\/span><\/span><span id=\"MJXc-Node-837\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-838\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">1.10<\/span><\/span><span id=\"MJXc-Node-839\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u00d7<\/span><\/span><span id=\"MJXc-Node-840\" class=\"mjx-mi MJXc-space2\"><span class=\"mjx-char MJXc-TeX-math-I\">S<\/span><\/span><span id=\"MJXc-Node-841\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">T<\/span><\/span><span id=\"MJXc-Node-842\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">R<\/span><\/span><span id=\"MJXc-Node-843\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u2212<\/span><\/span><span id=\"MJXc-Node-844\" class=\"mjx-mn MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">0.65<\/span><\/span><span id=\"MJXc-Node-845\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">\u00d7<\/span><\/span><span id=\"MJXc-Node-846\" class=\"mjx-mi MJXc-space2\"><span class=\"mjx-char MJXc-TeX-math-I\">P<\/span><\/span><span id=\"MJXc-Node-847\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">c<\/span><\/span><span id=\"MJXc-Node-848\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">t<\/span><\/span><span id=\"MJXc-Node-849\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">E<\/span><\/span><span id=\"MJXc-Node-850\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">L<\/span><\/span><span id=\"MJXc-Node-851\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">.<\/span><\/span><\/p>\n<hr \/>\n<p><span style=\"color: #0000ff;\"><strong>6.3 \u591a\u91cd\u56de\u6b78\u4e2d\u7684\u64ec\u5408\u6e2c\u91cf<\/strong><\/span><\/p>\n<p>\u5728\u591a\u5143\u8ff4\u6b78\u4e2d\uff0c\u5e38\u898b\u7684\u6458\u8981\u7d71\u8a08\u91cf\u70ba\u00a0<span class=\"math inline\" data-immersive-translate-walked=\"8db5747d-8818-48d2-ba32-0e966c187f47\"><span id=\"MathJax-Element-2-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"-webkit-font-smoothing: antialiased; box-sizing: border-box; -webkit-tap-highlight-color: transparent; text-size-adjust: none; display: inline-table; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.6px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;S&lt;\/mi&gt;&lt;mi&gt;E&lt;\/mi&gt;&lt;mi&gt;R&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-4\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-5\" class=\"mjx-mrow\"><span id=\"MJXc-Node-6\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">S<\/span><\/span><span id=\"MJXc-Node-7\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">E<\/span><\/span><span id=\"MJXc-Node-8\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">R<\/span><\/span><\/span><\/span><\/span><\/span>\u3001\u00a0<span class=\"math inline\" data-immersive-translate-walked=\"8db5747d-8818-48d2-ba32-0e966c187f47\"><span id=\"MathJax-Element-3-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"-webkit-font-smoothing: antialiased; box-sizing: border-box; -webkit-tap-highlight-color: transparent; text-size-adjust: none; display: inline-table; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.6px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;msup&gt;&lt;mi&gt;R&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msup&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-9\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-10\" class=\"mjx-mrow\"><span id=\"MJXc-Node-11\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-12\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">R^<\/span><\/span><\/span><span class=\"mjx-sup\"><span id=\"MJXc-Node-13\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0\u548c\u8abf\u6574\u904e\u7684\u00a0<span class=\"math inline\" data-immersive-translate-walked=\"8db5747d-8818-48d2-ba32-0e966c187f47\"><span id=\"MathJax-Element-4-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"-webkit-font-smoothing: antialiased; box-sizing: border-box; -webkit-tap-highlight-color: transparent; text-size-adjust: none; display: inline-table; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.6px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;msup&gt;&lt;mi&gt;R&lt;\/mi&gt;&lt;mn&gt;2&lt;\/mn&gt;&lt;\/msup&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-14\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-15\" class=\"mjx-mrow\"><span id=\"MJXc-Node-16\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-17\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">R^<\/span><\/span><\/span><span class=\"mjx-sup\"><span id=\"MJXc-Node-18\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u53ef\u7528summary()\u51fd\u5f0f\u6216\u624b\u7b97\uff1a<\/p>\n<blockquote><p>n &lt;- nrow(CASchools)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0# \u89c0\u6e2c\u503c\u6578\u91cf\uff08\u5217\u6578\uff09<br \/>\nk &lt;- 2\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 # \u8ff4\u6b78\u8b8a\u6578\u6578\u91cf<\/p>\n<p>y_mean &lt;- mean(CASchools$score)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 # \u5e73\u5747\u5e73\u5747\u6e2c\u8a66\u5206\u6578<\/p>\n<p>SSR &lt;- sum(residuals(mult.mod)^2)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 # \u6b98\u5dee\u5e73\u65b9\u548c<br \/>\nTSS &lt;- sum((CASchools$score &#8211; y_mean )^2)\u00a0 \u00a0 \u00a0 # \u7e3d\u5e73\u65b9\u548c<br \/>\nESS &lt;- sum((fitted(mult.mod) &#8211; y_mean)^2)\u00a0 \u00a0 \u00a0 \u00a0 # \u89e3\u91cb\u5e73\u65b9\u548c<\/p>\n<p>SER &lt;- sqrt(1\/(n-k-1) * SSR)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0# \u8ff4\u6b78\u6a19\u6e96\u8aa4<br \/>\nRsq &lt;- 1 &#8211; (SSR \/ TSS)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0# \u6c7a\u5b9a\u4fc2\u6578 R^2<br \/>\nadj_Rsq &lt;- 1 &#8211; (n-1)\/(n-k-1) * SSR\/TSS\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0# \u8abf\u6574\u5f8c\u7684\u6c7a\u5b9a\u4fc2\u6578 adj. R^2<\/p>\n<p># \u8f38\u51fa\u7d50\u679c<br \/>\nc(&#8220;\u8ff4\u6b78\u6a19\u6e96\u8aa4&#8221; = SER, &#8220;R^2&#8221; = Rsq, &#8220;\u8abf\u6574\u5f8c\u7684 R^2&#8221; = adj_Rsq)<\/p><\/blockquote>\n<p>SER\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0R^2\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Adj.R^2<br \/>\n14.4644831\u00a0 \u00a0 \u00a0 0.4264315\u00a0 \u00a0 \u00a0 \u00a00.4236805<\/p>\n<p>\u901a\u904e\u4e0d\u65b7\u589e\u52a0\u8ff4\u6b78\u8b8a\u6578\u4ee5\u6700\u5927\u5316\u9019\u4e9b\u5ea6\u91cf\u503c\u901a\u5e38\u4e26\u4e0d\u660e\u667a(\u589e\u52a0\u6210\u672c)\u3002<\/p>\n<p>\u66f4\u6709\u7528\u7684\u505a\u6cd5\u662f\u589e\u52a0\u80fd\u63d0\u9ad8\u56e0\u679c\u6548\u61c9\u4f30\u8a08\u7684\u8ff4\u6b78\u8b8a\u6578(\u6709\u95dc\u806f\u7684\u3001\u9ad8\u8208\u8da3\u7684)\u3002<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>6.1 \u907a\u6f0f\u8b8a\u6578\u504f\u5dee \u55ae\u4e00\u56de\u6b78\u8b8a\u6578\u7684\u8ff4\u6b78\u4e2d\u7684\u907a\u6f0f\u8b8a\u6578\u504f\u5dee \u907a\u6f0f\u8b8a\u6578\u504f\u5dee\u662f\u7576\u56de\u6b78\u8b8a<\/p>\n","protected":false},"author":16,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[27],"tags":[],"_links":{"self":[{"href":"https:\/\/edu.secda.info\/scu12354014\/index.php?rest_route=\/wp\/v2\/posts\/1327"}],"collection":[{"href":"https:\/\/edu.secda.info\/scu12354014\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/edu.secda.info\/scu12354014\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/edu.secda.info\/scu12354014\/index.php?rest_route=\/wp\/v2\/users\/16"}],"replies":[{"embeddable":true,"href":"https:\/\/edu.secda.info\/scu12354014\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1327"}],"version-history":[{"count":1,"href":"https:\/\/edu.secda.info\/scu12354014\/index.php?rest_route=\/wp\/v2\/posts\/1327\/revisions"}],"predecessor-version":[{"id":1329,"href":"https:\/\/edu.secda.info\/scu12354014\/index.php?rest_route=\/wp\/v2\/posts\/1327\/revisions\/1329"}],"wp:attachment":[{"href":"https:\/\/edu.secda.info\/scu12354014\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1327"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/edu.secda.info\/scu12354014\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1327"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/edu.secda.info\/scu12354014\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1327"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}