{"id":1582,"date":"2023-07-25T18:58:24","date_gmt":"2023-07-25T18:58:24","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e4%bc%b0%e8%ae%a1%e7%9a%84%e6%a0%87%e5%87%86%e8%af%af%e5%b7%ae\/"},"modified":"2023-07-25T18:58:24","modified_gmt":"2023-07-25T18:58:24","slug":"%e4%bc%b0%e8%ae%a1%e7%9a%84%e6%a0%87%e5%87%86%e8%af%af%e5%b7%ae","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e4%bc%b0%e8%ae%a1%e7%9a%84%e6%a0%87%e5%87%86%e8%af%af%e5%b7%ae\/","title":{"rendered":"\u4f30\u8ba1\u7684\u6807\u51c6\u8bef\u5dee\u662f\u591a\u5c11\uff1f \uff08\u5b9a\u4e49&amp;#038\uff1b\u793a\u4f8b\uff09"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u4f30\u8ba1\u7684\u6807\u51c6\u8bef\u5dee<\/strong>\u662f\u8861\u91cf\u56de\u5f52\u6a21\u578b\u9884\u6d4b\u51c6\u786e\u6027\u7684\u4e00\u79cd\u65b9\u6cd5\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u901a\u5e38\u79f0\u4e3a \u03c3 <sub>est<\/sub> \uff0c\u5176\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\uff1a<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\"><sub>\u03c3<\/sub> = \u221a <span style=\"border-top: 1px solid black;\">\u03a3(y \u2013 \u0177) <sup>2<\/sup> \/n<\/span><\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u91d1\u5b50\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>y\uff1a<\/strong>\u89c2\u6d4b\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>\u0177\uff1a<\/strong>\u9884\u6d4b\u503c<\/span><\/li>\n<li><span style=\"color: #000000;\"><strong>n\uff1a<\/strong>\u89c2\u5bdf\u603b\u6570<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u4f30\u8ba1\u7684\u6807\u51c6\u8bef\u5dee\u8ba9\u6211\u4eec\u4e86\u89e3\u56de\u5f52\u6a21\u578b\u5bf9\u6570\u636e\u96c6\u7684\u62df\u5408\u7a0b\u5ea6\u3002\u5c24\u5176\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"color: #000000;\">\u503c\u8d8a\u5c0f\uff0c\u62df\u5408\u8d8a\u597d\u3002<\/span><\/li>\n<li><span style=\"color: #000000;\">\u503c\u8d8a\u5927\uff0c\u62df\u5408\u5ea6\u8d8a\u5dee\u3002<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5bf9\u4e8e\u4f30\u8ba1\u6807\u51c6\u8bef\u5dee\u8f83\u5c0f\u7684\u56de\u5f52\u6a21\u578b\uff0c\u6570\u636e\u70b9\u5c06\u7d27\u5bc6\u805a\u96c6\u5728\u4f30\u8ba1\u56de\u5f52\u7ebf\u5468\u56f4\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15730 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate1.png\" alt=\"\" width=\"431\" height=\"322\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u76f8\u53cd\uff0c\u5bf9\u4e8e\u4f30\u8ba1\u6807\u51c6\u8bef\u5dee\u8f83\u5927\u7684\u56de\u5f52\u6a21\u578b\uff0c\u6570\u636e\u70b9\u5c06\u66f4\u52a0\u677e\u6563\u5730\u5206\u6563\u5728\u56de\u5f52\u7ebf\u5468\u56f4\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15731 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate2.png\" alt=\"\" width=\"445\" height=\"325\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u4ee5\u4e0b\u793a\u4f8b\u6f14\u793a\u5982\u4f55\u5728 Excel \u4e2d\u8ba1\u7b97\u548c\u89e3\u91ca\u56de\u5f52\u6a21\u578b\u4f30\u8ba1\u503c\u7684\u6807\u51c6\u8bef\u5dee\u3002<\/span><\/p>\n<h3><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1aExcel \u4e2d\u4f30\u8ba1\u7684\u6807\u51c6\u8bef\u5dee<\/strong><\/span><\/h3>\n<p><span style=\"color: #000000;\">\u4f7f\u7528\u4ee5\u4e0b\u6b65\u9aa4\u8ba1\u7b97 Excel \u4e2d\u56de\u5f52\u6a21\u578b\u7684\u4f30\u8ba1\u503c\u7684\u6807\u51c6\u8bef\u5dee\u3002<\/span><\/p>\n<p><strong><span style=\"color: #000000;\">\u7b2c 1 \u6b65\uff1a\u8f93\u5165\u6570\u636e<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u9996\u5148\uff0c\u8f93\u5165\u6570\u636e\u96c6\u503c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15732 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate3.png\" alt=\"\" width=\"399\" height=\"456\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><strong><span style=\"color: #000000;\">\u7b2c 2 \u6b65\uff1a\u6267\u884c\u7ebf\u6027\u56de\u5f52<\/span><\/strong><\/p>\n<p><span style=\"color: #000000;\">\u63a5\u4e0b\u6765\uff0c\u5355\u51fb\u9876\u90e8\u529f\u80fd\u533a\u7684<strong>\u201c\u6570\u636e\u201d<\/strong>\u9009\u9879\u5361\u3002\u7136\u540e\u5355\u51fb<strong>\u201c\u5206\u6790\u201d<\/strong>\u7ec4\u4e2d\u7684<strong>\u201c\u6570\u636e\u5206\u6790\u201d<\/strong>\u9009\u9879\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-5292 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/deuxsampexcel3.png\" alt=\"\" width=\"443\" height=\"169\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5982\u679c\u60a8\u6ca1\u6709\u770b\u5230\u6b64\u9009\u9879\uff0c\u5219\u5fc5\u987b\u9996\u5148<a href=\"https:\/\/statorials.org\/cn\/\u5982\u4f55\u5728excel\u4e2d\u52a0\u8f7d\u5206\u6790\u5de5\u5177\u5e93\/\" target=\"_blank\" rel=\"noopener\">\u52a0\u8f7d\u5206\u6790\u5de5\u5177\u5e93<\/a>\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u51fa\u73b0\u7684\u65b0\u7a97\u53e3\u4e2d\uff0c\u5355\u51fb<strong>\u56de\u5f52<\/strong>\uff0c\u7136\u540e\u5355\u51fb<strong>\u786e\u5b9a<\/strong>\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15733 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/regressionpak.png\" alt=\"\" width=\"415\" height=\"229\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5728\u51fa\u73b0\u7684\u65b0\u7a97\u53e3\u4e2d\uff0c\u63d0\u4f9b\u4ee5\u4e0b\u4fe1\u606f\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15734 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate4-1.png\" alt=\"\" width=\"527\" height=\"455\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5355\u51fb<strong>\u201c\u786e\u5b9a\u201d<\/strong>\u540e\uff0c\u5c06\u51fa\u73b0\u56de\u5f52\u7ed3\u679c\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15735 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate5.png\" alt=\"\" width=\"510\" height=\"431\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u56de\u5f52\u8868\u4e2d\u7684\u7cfb\u6570\u6765\u6784\u5efa\u4f30\u8ba1\u7684\u56de\u5f52\u65b9\u7a0b\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0177 = 13.367 + 1.693(x)<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u8be5\u56de\u5f52\u6a21\u578b\u4f30\u8ba1\u7684\u6807\u51c6\u8bef\u5dee\u4e3a<strong>6.006<\/strong> \u3002\u7b80\u5355\u6765\u8bf4\uff0c\u8fd9\u544a\u8bc9\u6211\u4eec\u5e73\u5747\u6570\u636e\u70b9\u8ddd\u56de\u5f52\u7ebf<strong>6.006 \u4e2a<\/strong>\u5355\u4f4d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4f30\u8ba1\u7684\u56de\u5f52\u65b9\u7a0b\u548c\u4f30\u8ba1\u7684\u6807\u51c6\u8bef\u5dee\u6765\u6784\u5efa\u67d0\u4e2a\u6570\u636e\u70b9\u7684\u9884\u6d4b\u503c\u7684 95% \u7f6e\u4fe1\u533a\u95f4\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe x \u7b49\u4e8e 10\u3002\u4f7f\u7528\u4f30\u8ba1\u7684\u56de\u5f52\u65b9\u7a0b\uff0c\u6211\u4eec\u53ef\u4ee5\u9884\u6d4b y \u7b49\u4e8e\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0177 = 13.367 + 1.693*(10) = 30.297<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u83b7\u5f97\u8be5\u4f30\u8ba1\u7684 95% \u7f6e\u4fe1\u533a\u95f4\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">95% CI = [\u0177 \u2013 1.96*\u03c3<sub>\u4e3a<\/sub>, \u0177 + 1.96*\u03c3<sub>\u4e3a<\/sub>]<\/span><\/li>\n<\/ul>\n<p><span style=\"color: #000000;\">\u5bf9\u4e8e\u6211\u4eec\u7684\u793a\u4f8b\uff0c95% \u7f6e\u4fe1\u533a\u95f4\u7684\u8ba1\u7b97\u65b9\u5f0f\u5982\u4e0b\uff1a<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">95% CI = [\u0177 \u2013 1.96*\u03c3<sub>\u4e3a<\/sub>, \u0177 + 1.96*\u03c3<sub>\u4e3a<\/sub>]<\/span><\/li>\n<li> <span style=\"color: #000000;\">95% CI = [30.297 \u2013 1.96*6.006, 30.297 + 1.96*6.006]<\/span><\/li>\n<li> <span style=\"color: #000000;\">95% CI = [18,525, 42,069]<\/span><\/li>\n<\/ul>\n<h3><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h3>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u7b80\u5355\u7ebf\u6027\u56de\u5f52excel\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Excel \u4e2d\u6267\u884c\u7b80\u5355\u7ebf\u6027\u56de\u5f52<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u591a\u5143\u7ebf\u6027\u56de\u5f52excel\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Excel \u4e2d\u6267\u884c\u591a\u5143\u7ebf\u6027\u56de\u5f52<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u5982\u4f55\u5728excel\u4e2d\u521b\u5efa\u6b8b\u7559\u75d5\u8ff9\/\" target=\"_blank\" rel=\"noopener\">\u5982\u4f55\u5728 Excel \u4e2d\u521b\u5efa\u6b8b\u5dee\u56fe<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4f30\u8ba1\u7684\u6807\u51c6\u8bef\u5dee\u662f\u8861\u91cf\u56de\u5f52\u6a21\u578b\u9884\u6d4b\u51c6\u786e\u6027\u7684\u4e00\u79cd\u65b9\u6cd5\u3002 \u901a\u5e38\u79f0\u4e3a \u03c3 est \uff0c\u5176\u8ba1\u7b97\u516c\u5f0f\u5982\u4e0b\uff1a \u03c3 = \u221a \u03a3( [&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-1582","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>\u4f30\u8ba1\u7684\u6807\u51c6\u8bef\u5dee\u662f\u591a\u5c11\uff1f \uff08\u5b9a\u4e49\u548c\u4f8b\u5b50\uff09<\/title>\n<meta name=\"description\" content=\"\u672c\u6559\u7a0b\u63d0\u4f9b\u4e86\u4f30\u8ba1\u6807\u51c6\u8bef\u5dee\u7684\u7b80\u5355\u89e3\u91ca\uff0c\u5305\u62ec\u5b9a\u4e49\u548c\u793a\u4f8b\u3002\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/cn\/\u4f30\u8ba1\u7684\u6807\u51c6\u8bef\u5dee\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u4f30\u8ba1\u7684\u6807\u51c6\u8bef\u5dee\u662f\u591a\u5c11\uff1f \uff08\u5b9a\u4e49\u548c\u4f8b\u5b50\uff09\" \/>\n<meta property=\"og:description\" content=\"\u672c\u6559\u7a0b\u63d0\u4f9b\u4e86\u4f30\u8ba1\u6807\u51c6\u8bef\u5dee\u7684\u7b80\u5355\u89e3\u91ca\uff0c\u5305\u62ec\u5b9a\u4e49\u548c\u793a\u4f8b\u3002\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/cn\/\u4f30\u8ba1\u7684\u6807\u51c6\u8bef\u5dee\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T18:58:24+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate1.png\" \/>\n<meta name=\"author\" content=\"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"\u672c\u6770\u660e\u00b7\u5b89\u5fb7\u68ee\u535a\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/cn\/%e4%bc%b0%e8%ae%a1%e7%9a%84%e6%a0%87%e5%87%86%e8%af%af%e5%b7%ae\/\",\"url\":\"https:\/\/statorials.org\/cn\/%e4%bc%b0%e8%ae%a1%e7%9a%84%e6%a0%87%e5%87%86%e8%af%af%e5%b7%ae\/\",\"name\":\"\u4f30\u8ba1\u7684\u6807\u51c6\u8bef\u5dee\u662f\u591a\u5c11\uff1f 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