{"id":420,"date":"2023-07-30T03:37:52","date_gmt":"2023-07-30T03:37:52","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%9b%9e%e5%bd%92%e6%96%9c%e7%8e%87%e6%98%be%e7%9d%80%e6%80%a7%e6%a3%80%e9%aa%8c\/"},"modified":"2023-07-30T03:37:52","modified_gmt":"2023-07-30T03:37:52","slug":"%e5%9b%9e%e5%bd%92%e6%96%9c%e7%8e%87%e6%98%be%e7%9d%80%e6%80%a7%e6%a3%80%e9%aa%8c","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%9b%9e%e5%bd%92%e6%96%9c%e7%8e%87%e6%98%be%e7%9d%80%e6%80%a7%e6%a3%80%e9%aa%8c\/","title":{"rendered":"\u5982\u4f55\u6d4b\u8bd5\u56de\u5f52\u659c\u7387\u7684\u663e\u7740\u6027"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u6709\u4ee5\u4e0b\u6570\u636e\u96c6\uff0c\u663e\u793a 12 \u5957\u4e0d\u540c\u623f\u5c4b\u7684\u9762\u79ef\u548c\u4ef7\u683c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1326 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/regression1.png\" alt=\"\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u793a\u4f8b\" width=\"152\" height=\"352\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u60f3\u77e5\u9053\u5e73\u65b9\u82f1\u5c3a\u548c\u4ef7\u683c\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u663e\u7740\u5173\u7cfb\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u4e86\u89e3\u6570\u636e\u7684\u6837\u5b50\uff0c\u6211\u4eec\u9996\u5148\u521b\u5efa\u4e00\u4e2a\u6563\u70b9\u56fe\uff0c\u5176\u4e2d x \u8f74\u4e3a<em>\u5e73\u65b9\u82f1\u5c3a<\/em>\uff0cy \u8f74\u4e3a<em>\u4ef7\u683c<\/em>\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1332 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/regression3.jpg\" alt=\"\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u6563\u70b9\u56fe\" width=\"537\" height=\"438\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u6e05\u695a\u5730\u770b\u5230\u9762\u79ef\u548c\u4ef7\u683c\u4e4b\u95f4\u5b58\u5728\u6b63\u76f8\u5173\u5173\u7cfb\u3002\u968f\u7740\u9762\u79ef\u7684\u589e\u52a0\uff0c\u623f\u5c4b\u7684\u4ef7\u683c\u4e5f\u8d8b\u4e8e\u4e0a\u6da8\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7136\u800c\uff0c\u4e3a\u4e86\u627e\u51fa\u5e73\u65b9\u82f1\u5c3a\u548c\u4ef7\u683c\u4e4b\u95f4\u662f\u5426\u5b58\u5728<strong>\u7edf\u8ba1\u4e0a\u663e\u7740\u7684<\/strong><strong>\u5173\u7cfb<\/strong>\uff0c\u6211\u4eec\u9700\u8981\u8fd0\u884c\u4e00\u4e2a\u7b80\u5355\u7684\u7ebf\u6027\u56de\u5f52\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u6211\u4eec\u4f7f\u7528<em>\u5e73\u65b9\u82f1\u5c3a<\/em>\u4f5c\u4e3a\u9884\u6d4b\u53d8\u91cf\uff0c\u4f7f\u7528<em>\u4ef7\u683c\u4f5c\u4e3a<\/em>\u54cd\u5e94\u6765\u8fd0\u884c<a href=\"https:\/\/statorials.org\/cn\/\u7ebf\u6027\u56de\u5f521\/\" target=\"_blank\" rel=\"noopener\">\u7b80\u5355\u7684\u7ebf\u6027\u56de\u5f52<\/a>\uff0c\u5e76\u5f97\u5230\u4ee5\u4e0b\u7ed3\u679c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1334 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/regression4.png\" alt=\"\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u8f93\u51fa\" width=\"445\" height=\"73\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\"><em>\u65e0\u8bba\u60a8\u5728 Excel\u3001SPSS\u3001R \u8fd8\u662f\u4efb\u4f55\u5176\u4ed6\u8f6f\u4ef6\u4e2d\u8fd0\u884c\u7b80\u5355\u7ebf\u6027\u56de\u5f52\uff0c\u60a8\u90fd\u4f1a\u5f97\u5230\u4e0e\u4e0a\u56fe\u7c7b\u4f3c\u7684\u7ed3\u679c\u3002<\/em><\/span><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u8bb0\u4f4f\uff0c\u7b80\u5355\u7684\u7ebf\u6027\u56de\u5f52\u5c06\u4ea7\u751f\u6700\u4f73\u62df\u5408\u7ebf\uff0c\u8fd9\u662f\u6700\u201c\u62df\u5408\u201d\u6563\u70b9\u56fe\u4e2d\u6570\u636e\u7684\u7ebf\u7684\u65b9\u7a0b\u3002\u8fd9\u6761\u6700\u4f73\u62df\u5408\u7ebf\u5b9a\u4e49\u4e3a\uff1a<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>\u0177 = b <sub>0<\/sub> + b <sub>1<\/sub> x<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5176\u4e2d \u0177 \u662f\u54cd\u5e94\u53d8\u91cf\u7684\u9884\u6d4b\u503c\uff0cb <sub>0<\/sub>\u662f\u622a\u8ddd\uff0cb <sub>1<\/sub>\u662f\u56de\u5f52\u7cfb\u6570\uff0cx \u662f\u9884\u6d4b\u53d8\u91cf\u7684\u503c\u3002<\/span><\/p>\n<p> <span style=\"color: #000000;\">b <sub>0<\/sub>\u7684\u503c\u7531\u539f\u70b9\u7cfb\u6570\u7ed9\u51fa\uff0c\u5373<strong>47588.70\u3002<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">b <sub>1<\/sub>\u7684\u503c\u7531\u9884\u6d4b\u53d8\u91cf<em>Square Feet<\/em>\u7684\u7cfb\u6570\u7ed9\u51fa\uff0c\u5373<strong>93.57\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6240\u4ee5\u672c\u4f8b\u4e2d\u7684\u6700\u4f73\u62df\u5408\u7ebf\u662f<strong>\u0177 = 47588.70+ 93.57x<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u662f\u5982\u4f55\u89e3\u91ca\u8fd9\u6761\u6700\u4f73\u62df\u5408\u7ebf\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>b <sub>0<\/sub> \uff1a<\/strong>\u5f53\u5e73\u65b9\u82f1\u5c3a\u7684\u503c\u4e3a\u96f6\u65f6\uff0c\u9884\u671f\u5e73\u5747\u4ef7\u683c\u503c\u4e3a 47,588.70 \u7f8e\u5143\u3002 \uff08\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u89e3\u91ca\u622a\u8ddd\u5b9e\u9645\u4e0a\u6ca1\u6709\u610f\u4e49\uff0c\u56e0\u4e3a\u623f\u5b50\u6c38\u8fdc\u4e0d\u53ef\u80fd\u6709\u96f6\u5e73\u65b9\u82f1\u5c3a\uff09<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>b <sub>1<\/sub> \uff1a<\/strong>\u6bcf\u589e\u52a0\u4e00\u5e73\u65b9\u82f1\u5c3a\uff0c\u5e73\u5747\u9884\u671f\u4ef7\u683c\u4e0a\u6da8\u4e3a 93.57 \u7f8e\u5143\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u6211\u4eec\u73b0\u5728\u77e5\u9053\uff0c\u6bcf\u589e\u52a0\u4e00\u5e73\u65b9\u82f1\u5c3a\uff0c\u5e73\u5747\u9884\u671f\u4ef7\u683c\u4e0a\u6da8\u4e3a 93.57 \u7f8e\u5143\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8981\u4e86\u89e3\u8fd9\u79cd\u589e\u52a0\u662f\u5426\u5177\u6709\u7edf\u8ba1\u663e\u7740\u6027\uff0c\u6211\u4eec\u9700\u8981\u5bf9 B <sub>1<\/sub>\u8fdb\u884c\u5047\u8bbe\u68c0\u9a8c\u6216\u6784\u5efa B <sub>1<\/sub>\u7684\u7f6e\u4fe1\u533a\u95f4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6ce8\u610f<\/strong>\uff1a\u5047\u8bbe\u68c0\u9a8c\u548c\u7f6e\u4fe1\u533a\u95f4\u603b\u662f\u7ed9\u51fa\u76f8\u540c\u7684\u7ed3\u679c\u3002<\/span><\/p>\n<h2><strong><span style=\"color: #000000;\">\u6784\u5efa\u56de\u5f52\u659c\u7387\u7684\u7f6e\u4fe1\u533a\u95f4<\/span><\/strong><\/h2>\n<p><span style=\"color: #000000;\">\u4e3a\u4e86\u6784\u5efa\u56de\u5f52\u659c\u7387\u7684\u7f6e\u4fe1\u533a\u95f4\uff0c\u6211\u4eec\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\uff1a<\/span><\/p>\n<p style=\"text-align: left;\"><span style=\"color: #000000;\">\u7f6e\u4fe1\u533a\u95f4 = b <sub>1<\/sub> +\/- (t <sub>1-\u221d\/2, n-2<\/sub> ) * (b <sub>1<\/sub>\u7684\u6807\u51c6\u8bef\u5dee)<\/span><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">b <sub>1<\/sub>\u662f\u56de\u5f52\u7ed3\u679c\u4e2d\u7ed9\u51fa\u7684\u659c\u7387\u7cfb\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\">(t <sub>1-\u221d\/2, n-2<\/sub> ) \u662f\u5177\u6709 n-2 \u81ea\u7531\u5ea6\u7684 1-\u221d \u7f6e\u4fe1\u6c34\u5e73\u7684\u4e34\u754c t \u503c\uff0c\u5176\u4e2d<em>n<\/em>\u662f\u6570\u636e\u96c6\u4e2d\u7684\u89c2\u6d4b\u603b\u6570<\/span><\/li>\n<li><span style=\"color: #000000;\">(b <sub>1<\/sub>\u7684\u6807\u51c6\u8bef\u5dee) \u662f\u56de\u5f52\u7ed3\u679c\u4e2d\u7ed9\u51fa\u7684 b <sub>1<\/sub>\u7684\u6807\u51c6\u8bef\u5dee<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5bf9\u4e8e\u6211\u4eec\u7684\u793a\u4f8b\uff0c\u4ee5\u4e0b\u662f\u5982\u4f55\u6784\u5efa B <sub>1<\/sub>\u7684 95% \u7f6e\u4fe1\u533a\u95f4\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u56de\u5f52\u8f93\u51fa\u7684 b <sub>1<\/sub>\u4e3a 93.57\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u7531\u4e8e\u6211\u4eec\u4f7f\u7528 95% \u7f6e\u4fe1\u533a\u95f4\uff0c\u221d = 0.05 \u4e14 n-2 = 12-2 = 10\uff0c\u56e0\u6b64\u6839\u636e t \u5206\u5e03\u8868\uff0ct <sub>0.975, 10<\/sub>\u4e3a 2.228<\/span><\/li>\n<li> <span style=\"color: #000000;\">\uff08 <sub>b1<\/sub>\u7684\u6807\u51c6\u8bef\u5dee\uff09\u662f\u56de\u5f52\u8f93\u51fa\u7684 11.45<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0cB <sub>1<\/sub>\u7684 95% \u7f6e\u4fe1\u533a\u95f4\u4e3a\uff1a<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\">93.57 +\/- (2.228) * (11.45) = <strong>(68.06, 119.08)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u610f\u5473\u7740\u6211\u4eec\u6709 95% \u7684\u4fe1\u5fc3\u8ba4\u4e3a\u6bcf\u589e\u52a0\u5e73\u65b9\u82f1\u5c3a\u7684\u771f\u5b9e\u5e73\u5747\u4ef7\u683c\u6da8\u5e45\u5728 68.06 \u7f8e\u5143\u81f3 119.08 \u7f8e\u5143\u4e4b\u95f4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8bf7\u6ce8\u610f\uff0c0 \u7f8e\u5143\u4e0d\u5728\u6b64\u533a\u95f4\u5185\uff0c\u56e0\u6b64\u5e73\u65b9\u82f1\u5c3a\u548c\u4ef7\u683c\u4e4b\u95f4\u7684\u5173\u7cfb\u5728 95% \u7f6e\u4fe1\u6c34\u5e73\u4e0b\u5177\u6709\u7edf\u8ba1\u663e\u7740\u6027\u3002<\/span><\/p>\n<h2><strong><span style=\"color: #000000;\">\u5bf9\u56de\u5f52\u659c\u7387\u6267\u884c\u5047\u8bbe\u68c0\u9a8c<\/span><\/strong><\/h2>\n<p><span style=\"color: #000000;\">\u8981\u5bf9\u56de\u5f52\u659c\u7387\u8fdb\u884c\u5047\u8bbe\u68c0\u9a8c\uff0c\u6211\u4eec\u9075\u5faa<a href=\"https:\/\/statorials.org\/cn\/\u7edf\u8ba1\u5b66\u4ee5\u7b80\u5355\u76f4\u63a5\u7684\u65b9\u5f0f\u89e3\u91ca\u6982\u5ff5\uff0c\u6211\u4eec\u4f7f\u5b66\u4e60\u7edf\u8ba1\u53d8\u5f97\u66f4\u5bb9\u6613\/\" target=\"_blank\" rel=\"noopener\">\u4efb\u4f55\u5047\u8bbe\u68c0\u9a8c\u7684\u4e94\u4e2a\u6807\u51c6\u6b65\u9aa4<\/a>\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 1. \u9648\u8ff0\u5047\u8bbe\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u539f\u5047\u8bbe (H0)\uff1aB <sub>1<\/sub> = 0<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5907\u62e9\u5047\u8bbe\uff1a(Ha)\uff1aB <sub>1<\/sub> \u2260 0<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 2. \u786e\u5b9a\u8981\u4f7f\u7528\u7684\u663e\u7740\u6027\u6c34\u5e73\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u6211\u4eec\u5728\u4e0a\u4e00\u4e2a\u793a\u4f8b\u4e2d\u6784\u5efa\u4e86 95% \u7f6e\u4fe1\u533a\u95f4\uff0c\u56e0\u6b64\u6211\u4eec\u5c06\u5728\u6b64\u5904\u4f7f\u7528\u7b49\u6548\u65b9\u6cd5\u5e76\u9009\u62e9\u4f7f\u7528 0.05 \u7684\u663e\u7740\u6027\u6c34\u5e73\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 3. \u67e5\u627e\u68c0\u9a8c\u7edf\u8ba1\u91cf\u548c\u76f8\u5e94\u7684 p \u503c\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u68c0\u9a8c\u7edf\u8ba1\u91cf\u4e3a<em>t<\/em> = b <sub>1<\/sub>\u7684\u7cfb\u6570 \/ b <sub>1<\/sub>\u7684\u6807\u51c6\u8bef\u5dee\uff08\u5177\u6709 n-2 \u81ea\u7531\u5ea6\uff09\u3002\u6211\u4eec\u53ef\u4ee5\u4ece\u56de\u5f52\u7ed3\u679c\u4e2d\u627e\u5230\u8fd9\u4e9b\u503c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-1327 size-full aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/regression2.png\" alt=\"\u7b80\u5355\u7ebf\u6027\u56de\u5f52\u8f93\u51fa\" width=\"445\" height=\"73\" srcset=\"\" sizes=\"auto, \"><br \/><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u68c0\u9a8c\u7edf\u8ba1\u91cf<em>t<\/em> = 92.89 \/ 13.88 = 6.69\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f7f\u7528<\/span><span style=\"color: #000000;\">\u5206\u6570\u4e3a 6.69\u3001\u81ea\u7531\u5ea6\u4e3a 10 \u4e14\u53cc\u5c3e\u68c0\u9a8c<strong>\u7684<\/strong><\/span><a href=\"https:\/\/statorials.org\/cn\/t-\u5206\u6570-p-\u503c\u8ba1\u7b97\u5668\/\" target=\"_blank\" rel=\"noopener\">T \u5206\u6570\u5230 P \u503c\u8ba1\u7b97\u5668<\/a>\uff0cp \u503c = 0.000 \u3002<\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 4. \u62d2\u7edd\u6216\u4e0d\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e p \u503c\u4f4e\u4e8e\u663e\u7740\u6027\u6c34\u5e73 0.05\uff0c\u56e0\u6b64\u6211\u4eec\u62d2\u7edd\u539f\u5047\u8bbe\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u6b65\u9aa4 5. \u89e3\u91ca\u7ed3\u679c\u3002<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u6211\u4eec\u62d2\u7edd\u4e86\u96f6\u5047\u8bbe\uff0c\u56e0\u6b64\u6211\u4eec\u6709\u8db3\u591f\u7684\u8bc1\u636e\u8868\u660e\uff0c\u6bcf\u589e\u52a0\u5e73\u65b9\u82f1\u5c3a\u7684\u771f\u5b9e\u5e73\u5747\u4ef7\u683c\u6da8\u5e45\u4e0d\u4e3a\u96f6\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5047\u8bbe\u6211\u4eec\u6709\u4ee5\u4e0b\u6570\u636e\u96c6\uff0c\u663e\u793a 12 \u5957\u4e0d\u540c\u623f\u5c4b\u7684\u9762\u79ef\u548c\u4ef7\u683c\uff1a \u6211\u4eec\u60f3\u77e5\u9053\u5e73\u65b9\u82f1\u5c3a\u548c\u4ef7\u683c\u4e4b\u95f4\u662f\u5426\u5b58\u5728\u663e\u7740\u5173\u7cfb\u3002 \u4e3a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-420","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u5982\u4f55\u6d4b\u8bd5\u56de\u5f52\u659c\u7387\u7684\u663e\u7740\u6027 - Statory<\/title>\n<meta name=\"description\" content=\"\u672c\u8bfe\u7a0b\u5c55\u793a\u5982\u4f55\u4f7f\u7528\u7f6e\u4fe1\u533a\u95f4\u548c\u5047\u8bbe\u68c0\u9a8c\u6765\u68c0\u9a8c\u56de\u5f52\u659c\u7387\u7684\u663e\u7740\u6027\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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