{"id":1098,"date":"2023-12-19T17:42:00","date_gmt":"2023-12-19T09:42:00","guid":{"rendered":"https:\/\/edu.secda.info\/scu12354014\/?p=1098"},"modified":"2024-01-03T23:50:07","modified_gmt":"2024-01-03T15:50:07","slug":"20231102-week-8-%e8%a8%88%e9%87%8f%e7%b6%93%e6%bf%9f%e5%ad%b8%e4%bd%9c%e6%a5%ad","status":"publish","type":"post","link":"https:\/\/edu.secda.info\/scu12354014\/?p=1098","title":{"rendered":"\u8a08\u91cf\u7d93\u6fdf\u5b78\u4f5c\u696d U4 \u7c21\u55ae\u8ff4\u6b78\u6a21\u578b\u3001OLS \u4f30\u8a08\u91cf"},"content":{"rendered":"<pre><strong>4 \u55ae\u4e00\u8ff4\u6b78\u8b8a\u6578\u7684\u7dda\u6027\u8ff4\u6b78<\/strong><\/pre>\n<p><span style=\"color: #0000ff;\">4.1 Simple Linear Regression<\/span><\/p>\n<p>\u7c21\u55ae\u7dda\u6027\u6a21\u578b\u00a0<span id=\"MJXc-Node-73\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-74\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">Y<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-75\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">i<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-76\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-77\" class=\"mjx-msubsup MJXc-space3\"><span class=\"mjx-base\"><span id=\"MJXc-Node-78\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03b2<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-79\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">0<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-80\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-81\" class=\"mjx-msubsup MJXc-space2\"><span class=\"mjx-base\"><span id=\"MJXc-Node-82\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03b2<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-83\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-84\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-85\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">X<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-86\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">i<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-87\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/svg.image?\\varepsilon%20_{i}\" alt=\"equation\" \/><\/span><\/span><span id=\"MJXc-Node-91\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">.<\/span><\/span><\/p>\n<p>X\u70ba\u81ea\u8b8a\u6578(independent variable)\uff0cY\u70ba\u56e0\u8b8a\u6578(dependent variable)<\/p>\n<p><span id=\"MJXc-Node-77\" class=\"mjx-msubsup MJXc-space3\"><span class=\"mjx-base\"><span id=\"MJXc-Node-78\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03b2<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-79\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">0\u70ba<\/span><\/span><\/span><\/span>\u622a\u8ddd\uff0c<span id=\"MJXc-Node-81\" class=\"mjx-msubsup MJXc-space2\"><span class=\"mjx-base\"><span id=\"MJXc-Node-82\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03b2<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-83\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1\u70ba\u659c\u7387<\/span><\/span><\/span><\/span><\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone  wp-image-1301\" src=\"https:\/\/edu.secda.info\/scu12354014\/wp-content\/uploads\/2023\/12\/\u87a2\u5e55\u64f7\u53d6\u756b\u9762-2024-01-03-224357-300x266.png\" alt=\"\" width=\"480\" height=\"425\" srcset=\"https:\/\/edu.secda.info\/scu12354014\/wp-content\/uploads\/2023\/12\/\u87a2\u5e55\u64f7\u53d6\u756b\u9762-2024-01-03-224357-300x266.png 300w, https:\/\/edu.secda.info\/scu12354014\/wp-content\/uploads\/2023\/12\/\u87a2\u5e55\u64f7\u53d6\u756b\u9762-2024-01-03-224357-800x710.png 800w, https:\/\/edu.secda.info\/scu12354014\/wp-content\/uploads\/2023\/12\/\u87a2\u5e55\u64f7\u53d6\u756b\u9762-2024-01-03-224357-768x682.png 768w, https:\/\/edu.secda.info\/scu12354014\/wp-content\/uploads\/2023\/12\/\u87a2\u5e55\u64f7\u53d6\u756b\u9762-2024-01-03-224357.png 907w\" sizes=\"(max-width: 480px) 100vw, 480px\" \/><\/p>\n<p><span style=\"color: #ff0000;\"><strong>\u6ce8\u610f<\/strong><\/span>\u6b64\u5716\u4e0d\u662f\u7531(0,0)\u958b\u59cb<\/p>\n<hr \/>\n<p><span style=\"color: #0000ff;\">4.2 \u4f30\u8a08\u7dda\u6027\u8ff4\u6b78\u6a21\u578b\u7684\u4fc2\u6578<\/span><\/p>\n<p>\u5728\u5be6\u52d9\u4e0a\uff0c\u6bcd\u9ad4\u8ff4\u6b78\u7dda\u7684\u622a\u8ddd\u03b20\u548c\u659c\u7387\u03b21\u662f\u672a\u77e5\u7684\u3002\u56e0\u6b64\uff0c\u6211\u5011\u5fc5\u9808\u5229\u7528\u8cc7\u6599\u4f86\u4f30\u8a08\u9019\u5169\u500b\u672a\u77e5\u53c3\u6578\u3002<\/p>\n<p>\u7bc4\u4f8b\uff1a\u5e2b\u751f\u6bd4\u70ba\u56e0\u8b8a\u6578(dependent variable)\uff0c\u5e73\u5747\u8003\u8a66\u6210\u7e3e\u70ba\u81ea\u8b8a\u6578(independent variable)<\/p>\n<p>\u7522\u751f\u5e2b\u751f\u6bd4\u3001\u5e73\u5747\u8003\u8a66\u6210\u7e3e<\/p>\n<blockquote><p>CASchools$STR &lt;- CASchools$students\/CASchools$teachers<\/p>\n<p>CASchools$score &lt;- (CASchools$read + CASchools$math)\/2<\/p><\/blockquote>\n<p>\u4e00\u4e9b\u57fa\u672c\u7d71\u8a08\u91cf\uff1a<\/p>\n<p>mean() \uff08\u8a08\u7b97\u6240\u63d0\u4f9b\u6578\u5b57\u7684\u7b97\u8853\u5e73\u5747\u503c\uff09<\/p>\n<p>sd() \uff08\u8a08\u7b97\u6a23\u672c\u6a19\u6e96\u5dee\uff09<\/p>\n<p>quantile() \uff08\u50b3\u56de\u8cc7\u6599\u7684\u6307\u5b9a\u6a23\u672c\u5206\u4f4d\u6578\u91cf\uff09<\/p>\n<blockquote><p>avg_STR &lt;- mean(CASchools$STR)<br \/>\navg_score &lt;- mean(CASchools$score)<\/p>\n<p>sd_STR &lt;- sd(CASchools$STR)<br \/>\nsd_score &lt;- sd(CASchools$score)<\/p>\n<p>uantiles &lt;- c(0.10, 0.25, 0.4, 0.5, 0.6, 0.75, 0.9)<br \/>\nquant_STR &lt;- quantile(CASchools$STR, quantiles)<br \/>\nquant_score &lt;- quantile(CASchools$score, quantiles)<\/p>\n<p>DistributionSummary &lt;- data.frame(Average = c(avg_STR, avg_score),<\/p>\n<p>StandardDeviation = c(sd_STR, sd_score),<br \/>\nquantile = rbind(quant_STR, quant_score))<\/p><\/blockquote>\n<p>\u7528data.frame \u65b9\u5f0f\u5beb\u51fa\u5448\u73fe<\/p>\n<p>Average\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0StandardDeviation\u00a0 \u00a0 \u00a0 \u00a0quantile.10.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0quantile.25.\u00a0 \u00a0 \u00a0 \u00a0quantile.40.<br \/>\nquant_STR\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a019.64043\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a01.891812\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a017.3486\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a018.58236\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a019.26618<br \/>\nquant_score\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 654.15655\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 19.053347\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 630.3950\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 640.05000\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0649.06999<br \/>\nquantile.50.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0quantile.60.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 quantile.75.\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 quantile.90.<br \/>\nquant_STR\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 19.72321\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 20.0783\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 20.87181\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 21.86741<br \/>\nquant_score\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0654.45000\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0659.4000\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 666.66249\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 678.85999<\/p>\n<blockquote><p>plot(score ~ STR,<br \/>\ndata = CASchools,<br \/>\nmain = &#8220;Scatterplot of Test Score and STR&#8221;,<br \/>\nxlab = &#8220;STR (X)&#8221;,<br \/>\nylab = &#8220;Test Score (Y)&#8221;)<\/p><\/blockquote>\n<p>#\u89c0\u5bdf\u503c\u5728\u5e2b\u751f\u6bd4\u548c\u8003\u8a66\u6210\u7e3e\u7684\u6563\u4f48\u5716<\/p>\n<p>\u7531\u6563\u4f48\u5716\u53ef\u9810\u671f\u5728\u8f03\u5927\u7684\u73ed\u7d1a\uff0c\u5e73\u5747\u5206\u6578\u53ef\u80fd\u6703\u8f03\u4f4e\u3002<\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"\" src=\"https:\/\/www.econometrics-with-r.org\/ITER_files\/figure-html\/unnamed-chunk-152-1.png\" width=\"621\" height=\"443\" \/><\/p>\n<hr \/>\n<p><span style=\"color: #0000ff;\">\u6700\u5c0f\u5e73\u65b9\u6cd5\uff08OLS\uff09<\/span><\/p>\n<p><span id=\"MJXc-Node-73\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-74\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">Y<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-75\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">i<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-76\" class=\"mjx-mo MJXc-space3\"><span class=\"mjx-char MJXc-TeX-main-R\">=<\/span><\/span><span id=\"MJXc-Node-77\" class=\"mjx-msubsup MJXc-space3\"><span class=\"mjx-base\"><span id=\"MJXc-Node-78\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03b2<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-79\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">0<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-80\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<\/span><\/span><span id=\"MJXc-Node-81\" class=\"mjx-msubsup MJXc-space2\"><span class=\"mjx-base\"><span id=\"MJXc-Node-82\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">\u03b2<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-83\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-84\" class=\"mjx-msubsup\"><span class=\"mjx-base\"><span id=\"MJXc-Node-85\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">X<\/span><\/span><\/span><span class=\"mjx-sub\"><span id=\"MJXc-Node-86\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">i<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-87\" class=\"mjx-mo MJXc-space2\"><span class=\"mjx-char MJXc-TeX-main-R\">+<img decoding=\"async\" id=\"output\" src=\"https:\/\/latex.codecogs.com\/svg.image?\\varepsilon%20_{i}\" alt=\"equation\" \/><\/span><\/span><span id=\"MJXc-Node-91\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">. =bo + b1 xi + ei<\/span><\/span><\/p>\n<p>\u6700\u5c0f\u5e73\u65b9\u6cd5\u53ca\uff0c\u6c42\u5f97\u4e0a\u5f0f<span id=\"MJXc-Node-91\" class=\"mjx-mo\"><span class=\"mjx-char MJXc-TeX-main-R\">bo \u3001b1 \u4f7f\u5f97\u8aa4\u5dee\u5e73\u65b9(<span class=\"mop op-symbol small-op\">\u2211e^2<\/span>)\u6700\u5c0f<\/span><\/span><\/p>\n<p>b1=Sxy\/Sxx \uff0cb0 = <span class=\"base\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"mord mathnormal\">Y<\/span><span class=\"accent-body\"><span class=\"mord\">\u02c9<\/span><\/span><\/span><\/span><\/span><\/span><\/span> &#8211; b1 *\u00a0<span class=\"base\"><span class=\"mclose\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"mord mathnormal\">X<\/span><span class=\"accent-body\"><span class=\"mord\">\u02c9\u00a0 (\u56de\u6b78\u7dda\u5fc5\u6703\u7d93\u904eX,Y\u5e73\u5747)<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><span class=\"base\"><span class=\"mord\"><span class=\"mord text\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">x<\/span><span class=\"mord mathnormal mtight\">y<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mop\"><span class=\"mop op-symbol small-op\">\u2211<\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"mord mathnormal\">X<\/span><span class=\"accent-body\"><span class=\"mord\">\u02c9<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><span class=\"mbin\">\u22c5<\/span><\/span><span class=\"base\"><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">Y<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"mord mathnormal\">Y<\/span><span class=\"accent-body\"><span class=\"mord\">\u02c9<\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)\uff0c<span class=\"mord\"><span class=\"mord text\">S<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">xx<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><span class=\"mop\"><span class=\"mop op-symbol small-op\">\u2211<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">X<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\">i<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mord accent\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"mord mathnormal\">X<\/span><span class=\"accent-body\"><span class=\"mord\">\u02c9<\/span><\/span><\/span><\/span><\/span><\/span>)^<span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<blockquote><p>beta_1 &lt;- sum((STR &#8211; mean(STR)) * (score &#8211; mean(score))) \/ sum((STR &#8211; mean(STR))^2)<\/p>\n<p>beta_0 &lt;- mean(score) &#8211; beta_1 * mean(STR)<\/p><\/blockquote>\n<p>#beta_1 =-2.279808<\/p>\n<p>#beta_0 =698.9329<\/p>\n<blockquote><p>linear_model &lt;- lm(score ~ STR, data = CASchools)<\/p><\/blockquote>\n<p>Coefficients:<br \/>\n(Intercept)\u00a0 \u00a0 STR<\/p>\n<p>698.93\u00a0 \u00a0 \u00a0 \u00a0 \u00a0-2.28<\/p>\n<p>\u6ce8\u610f\uff1alm(<span style=\"color: #ff0000;\">X~Y<\/span> ,data =Data)<\/p>\n<p>&nbsp;<\/p>\n<blockquote><p>plot(score ~ STR,<br \/>\ndata = CASchools,<br \/>\nmain = &#8220;Scatterplot of Test Score and STR&#8221;,<br \/>\nxlab = &#8220;STR (X)&#8221;,<br \/>\nylab = &#8220;Test Score (Y)&#8221;,<br \/>\nxlim = c(10, 30),<br \/>\nylim = c(600, 720))<\/p>\n<p>abline(linear_model)<\/p><\/blockquote>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"\" src=\"https:\/\/www.econometrics-with-r.org\/ITER_files\/figure-html\/unnamed-chunk-158-1.png\" width=\"815\" height=\"582\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>4 \u55ae\u4e00\u8ff4\u6b78\u8b8a\u6578\u7684\u7dda\u6027\u8ff4\u6b78 4.1 Simple Linear Regressi<\/p>\n","protected":false},"author":16,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,27],"tags":[],"_links":{"self":[{"href":"https:\/\/edu.secda.info\/scu12354014\/index.php?rest_route=\/wp\/v2\/posts\/1098"}],"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=1098"}],"version-history":[{"count":3,"href":"https:\/\/edu.secda.info\/scu12354014\/index.php?rest_route=\/wp\/v2\/posts\/1098\/revisions"}],"predecessor-version":[{"id":1303,"href":"https:\/\/edu.secda.info\/scu12354014\/index.php?rest_route=\/wp\/v2\/posts\/1098\/revisions\/1303"}],"wp:attachment":[{"href":"https:\/\/edu.secda.info\/scu12354014\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1098"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/edu.secda.info\/scu12354014\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1098"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/edu.secda.info\/scu12354014\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1098"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}