{"id":202,"date":"2023-07-15T02:22:02","date_gmt":"2023-07-15T02:22:02","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/"},"modified":"2023-07-15T02:22:02","modified_gmt":"2023-07-15T02:22:02","slug":"%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/","title":{"rendered":"\u4ec0\u4e48\u662f\u6700\u5c0f\u4e8c\u4e58\u6cd5\uff1f"},"content":{"rendered":"<p>\u6700\u5c0f\u4e8c\u4e58\u6cd5\u662f\u4e00\u79cd\u7528\u4e8e<strong>\u5bfb\u627e\u4e0e\u4e00\u7ec4\u70b9\u76f8\u5bf9\u5e94\u7684\u6700\u4f73\u76f4\u7ebf\u7684<\/strong>\u6570\u5b66\u5de5\u5177\u3002\u6211\u4eec\u7528\u7b80\u5355\u7684\u65b9\u5f0f\u5411\u60a8\u89e3\u91ca\uff1a<\/p>\n<p>\u60f3\u8c61\u4e00\u4e0b\uff0c\u56fe\u8868\u4e0a\u6709\u4e00\u5806\u70b9\u5206\u6563\u5728\u5404\u5904\u3002\u4f60\u60f3\u8981\u627e\u5230\u4e00\u6761\u6700\u201c\u9002\u5408\u201d\u8fd9\u4e9b\u70b9\u7684\u76f4\u7ebf\uff0c\u4ece\u800c<strong>\u6700\u5c0f\u5316\u7ebf\u548c\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb<\/strong>\u3002\u8fd9\u5c31\u662f\u6700\u5c0f\u4e8c\u4e58\u6cd5\u80cc\u540e\u7684\u601d\u60f3\u3002<\/p>\n<p>\u8be5\u65b9\u6cd5\u4f7f\u7528\u516c\u5f0f\u6765\u8ba1\u7b97\u4f7f\u70b9\u4e0e\u7ebf\u4e4b\u95f4\u7684\u5dee\u7684\u5e73\u65b9\u548c\u6700\u5c0f\u5316\u7684\u7ebf\u7684\u65b9\u7a0b\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u5b83\u5bfb\u627e\u4e0e\u70b9\u201c\u504f\u5dee\u201d\u6700\u5c0f\u7684\u7ebf\u3002<\/p>\n<p>\u7b80\u5355\u6765\u8bf4\uff0c\u6700\u5c0f\u4e8c\u4e58\u6cd5\u53ef\u7528\u4e8e\u5206\u6790\u8c03\u67e5\u8fc7\u7a0b\u4e2d\u83b7\u5f97\u7684\u6570\u636e\uff0c\u76ee\u7684\u662f\u4ee5\u7ebf\u6027\u65b9\u5f0f\u8868\u8fbe\u4ed6\u4eec\u7684\u884c\u4e3a\uff0c\u51cf\u5c11\u88ab\u76d7\u4fe1\u606f\u7684\u9519\u8bef\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Quien_creo_el_metodo_de_los_minimos_cuadrados\">\u6700\u5c0f\u4e8c\u4e58\u6cd5\u662f\u8c01\u53d1\u660e\u7684\uff1f<\/span><\/h2>\n<p>\u6700\u5c0f\u4e8c\u4e58\u6cd5\u662f\u7edf\u8ba1\u5b66\u548c\u6570\u636e\u5206\u6790\u7684\u57fa\u672c\u5de5\u5177\uff0c\u7531\u5fb7\u56fd\u6570\u5b66\u5bb6<strong>\u5361\u5c14\u00b7\u5f17\u91cc\u5fb7\u91cc\u5e0c\u00b7\u9ad8\u65af<\/strong>\u4e8e 1794 \u5e74\u63d0\u51fa\uff0c\u4f46\u9ad8\u65af\u76f4\u5230<strong>1809 \u5e74<\/strong>\u624d\u53d1\u8868\u3002<\/p>\n<p>\u6709\u8da3\u7684\u662f\uff0c\u6cd5\u56fd\u6570\u5b66\u5bb6<strong>\u5b89\u5fb7\u91cc\u5b89\u00b7\u739b\u4e3d\u00b7\u52d2\u8ba9\u5fb7 (Andrien-Marie Legendre) \u5728 1805 \u5e74\u72ec\u7acb\u5f00\u53d1\u4e86\u7c7b\u4f3c\u7684\u7248\u672c<\/strong>\u3002<\/p>\n<p>\u4e24\u4f4d\u6570\u5b66\u5bb6\u5e2e\u52a9\u521b\u5efa\u4e86\u8fd9\u79cd\u65b9\u6cd5\uff0c\u8be5\u65b9\u6cd5\u5df2\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5404\u4e2a\u5b66\u79d1\uff0c\u4ee5\u5c06\u6a21\u578b\u62df\u5408\u5230\u89c2\u6d4b\u6570\u636e\u5e76\u505a\u51fa\u51c6\u786e\u7684\u9884\u6d4b\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Formula_del_metodo_de_minimos_cuadrados\">\u6700\u5c0f\u4e8c\u4e58\u516c\u5f0f<\/span><\/h2>\n<p>\u6beb\u65e0\u7591\u95ee\uff0c\u8981\u7406\u89e3\u8fd9\u4e2a\u65b9\u6cd5\u6d89\u53ca\u5230\u4ec0\u4e48\uff0c\u6709\u5fc5\u8981\u89e3\u91ca\u4e00\u4e0b\u5b83\u7684\u516c\u5f0f\u548c\u5b9e\u73b0\u8fc7\u7a0b\u3002\u4e0b\u9762\u662f\u6700\u5c0f\u4e8c\u4e58\u516c\u5f0f\u7684\u8be6\u7ec6\u89e3\u91ca\uff1a<\/p>\n<h3 class=\"wp-block-heading\">\u5b9a\u4e49\u95ee\u9898<\/h3>\n<p>\u5047\u8bbe\u60a8\u6709\u4e00\u4e2a\u5305\u542b\u4e24\u4e2a\u53d8\u91cf\u7684\u6570\u636e\u96c6\uff0c\u4e00\u4e2a\u81ea\u53d8\u91cf (x) \u548c\u4e00\u4e2a\u56e0\u53d8\u91cf (y)\uff0c\u5e76\u4e14\u60a8\u5e0c\u671b\u5bf9\u8be5\u6570\u636e\u62df\u5408\u4e00\u6761\u76f4\u7ebf\u3002<\/p>\n<p>\u76ee\u6807\u662f\u627e\u5230\u76f4\u7ebf\u65b9\u7a0b\u7684\u7cfb\u6570\u503c\uff08\u622a\u8ddd\u548c\u659c\u7387\uff09\uff0c\u4f7f y \u7684\u5b9e\u9645\u503c\u4e0e\u9884\u6d4b\u503c\u4e4b\u95f4\u7684\u5dee\u503c\u5e73\u65b9\u548c\u6700\u5c0f\u5316\u62df\u5408\u7ebf\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u8ba1\u7b97\u76f4\u7ebf\u65b9\u7a0b<\/h3>\n<p>\u76f4\u7ebf\u65b9\u7a0b\u7684\u5f62\u5f0f\u4e3a y = mx + b\uff0c\u5176\u4e2d m \u662f\u659c\u7387\uff0cb \u662f y \u622a\u8ddd\u3002\u8ba1\u7b97myb\u503c\u7684\u6700\u5c0f\u4e8c\u4e58\u516c\u5f0f\u4e3a\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"243\" height=\"121\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-la-methode-des-moindres-carres.webp\" data-src=\"\" alt=\"\u6700\u5c0f\u4e8c\u4e58\u516c\u5f0f\" class=\"wp-image-11763 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u91d1\u5b50\uff1a<\/p>\n<p> \u03a3 \u8868\u793a\u503c\u7684\u603b\u548c\u3002<\/p>\n<p> x <sub>i<\/sub>\u548cy <sub>i<\/sub>\u5206\u522b\u662f\u6bcf\u4e2a\u6570\u636e\u70b9\u7684\u53d8\u91cfx\u548cy\u7684\u503c\u3002<\/p>\n<p> x\u0304 \u548c \u015f \u5206\u522b\u662f x \u548c y \u503c\u7684\u5e73\u5747\u503c\u3002<\/p>\n<p> ( <sub>xi<\/sub> \u2013 x\u0304) \u548c (y <sub>i<\/sub> \u2013 \u015f) \u662f x \u548c y \u7684\u503c\u53ca\u5176\u5404\u81ea\u5747\u503c\u4e4b\u95f4\u7684\u5dee\u3002<\/p>\n<p> ( <sub>xi<\/sub> \u2013 x\u0304) <sup>2<\/sup>\u662f x \u503c\u4e0e\u5176\u5e73\u5747\u503c\u4e4b\u5dee\u7684\u5e73\u65b9\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u89e3\u91ca\u7ed3\u679c<\/h3>\n<p>\u4f7f\u7528\u516c\u5f0f\u8ba1\u7b97\u51fa m \u548c b \u7684\u503c\u540e\uff0c\u60a8\u53ef\u4ee5\u4f7f\u7528\u5b83\u4eec\u6765\u83b7\u5f97\u62df\u5408\u7ebf\u7684\u65b9\u7a0b\u3002\u4f8b\u5982\uff0c\u5982\u679c m = 2 \u4e14 b = 3\uff0c\u5219\u62df\u5408\u7ebf\u7684\u65b9\u7a0b\u5c06\u4e3a y = 2x + 3\u3002\u8fd9\u4f7f\u60a8\u53ef\u4ee5\u5bf9\u4e0d\u540c x \u503c\u7684 y \u503c\u8fdb\u884c\u9884\u6d4b\u6216\u4f30\u8ba1\u57fa\u4e8e\u8c03\u6574\u540e\u7684\u6743\u5229\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"En_que_casos_se_usa_el_metodo_de_minimos_cuadrados\">\u4ec0\u4e48\u65f6\u5019\u4f7f\u7528\u6700\u5c0f\u4e8c\u4e58\u6cd5\uff1f<\/span><\/h2>\n<p>\u60a8\u53ef\u80fd\u4f1a\u95ee\u81ea\u5df1\uff0c\u4ec0\u4e48\u65f6\u5019\u4f7f\u7528\u8fd9\u79cd\u65b9\u6cd5\uff1f\u5728\u5404\u79cd\u60c5\u51b5\u4e0b\u90fd\u975e\u5e38\u6709\u7528\uff01\u4f8b\u5982\uff0c\u5f53\u60a8\u60f3\u8981\u5206\u6790\u5b9e\u9a8c\u6216\u7814\u7a76\u6570\u636e\u4ee5<strong>\u67e5\u627e\u5173\u7cfb\u6216\u8d8b\u52bf<\/strong>\u65f6\u3002<\/p>\n<p>\u5047\u8bbe\u60a8\u6b63\u5728\u8c03\u67e5\u623f\u5c4b\u4ef7\u683c\u4e0e\u5176\u9762\u79ef\uff08\u5e73\u65b9\u7c73\uff09\u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u60a8\u53ef\u4ee5\u4f7f\u7528\u6700\u5c0f\u4e8c\u4e58\u6cd5\u6765\u627e\u5230\u6700\u9002\u5408\u6570\u636e\u7684\u76f4\u7ebf\uff0c\u5e76\u8ba9\u60a8\u6e05\u695a\u5730\u4e86\u89e3\u8fd9\u79cd\u5173\u7cfb\u3002<\/p>\n<p>\u5b83\u8fd8\u5728\u7ecf\u6d4e\u5b66\u4e2d\u7528\u4e8e<strong>\u5efa\u6a21\u548c\u9884\u6d4b\u4ea7\u54c1\u9700\u6c42\u6216\u4ef7\u683c\u884c\u4e3a\u7b49\u53d8\u91cf<\/strong>\u3002\u6b64\u5916\uff0c\u5728\u5de5\u7a0b\u4e2d\uff0c\u6700\u5c0f\u4e8c\u4e58\u6cd5\u7528\u4e8e\u5c06\u6570\u5b66\u6a21\u578b\u62df\u5408\u5230\u6d4b\u8bd5\u6216\u6a21\u62df\u6570\u636e\u3002<\/p>\n<p>\u6700\u5c0f\u4e8c\u4e58\u6cd5\u662f\u4e00\u79cd\u5f3a\u5927\u4e14\u591a\u529f\u80fd\u7684\u5de5\u5177\uff0c\u53ef\u7528\u4e8e\u8bb8\u591a\u7814\u7a76\u548c\u5de5\u4f5c\u9886\u57df\u6765\u5206\u6790\u6570\u636e\u5e76\u53d1\u73b0\u91cd\u8981\u5173\u7cfb\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Aplicaciones_del_metodo_de_minimos_cuadrados_en_otros_teoremas\">\u6700\u5c0f\u4e8c\u4e58\u6cd5\u5728\u5176\u4ed6\u5b9a\u7406\u4e2d\u7684\u5e94\u7528<\/span><\/h2>\n<p>\u9664\u4e86\u5176\u672c\u8eab\u7684\u7528\u9014\u4e4b\u5916\uff0c\u6700\u5c0f\u4e8c\u4e58\u6cd5\u5728\u5176\u4ed6\u5b9a\u7406\u4e2d\u4e5f\u975e\u5e38\u6709\u7528\u3002\u4e0b\u9762\u8ba9\u6211\u4eec\u8be6\u7ec6\u4e86\u89e3\u4e00\u4e0b\u8fd9\u4e2a\u4e3b\u9898\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u56de\u5f52\u5b9a\u7406<\/h3>\n<p>\u5b83\u5e7f\u6cdb\u7528\u4e8e\u56de\u5f52\u5b9a\u7406\u4e2d\uff0c\u4ee5<strong>\u627e\u5230\u9002\u5408\u4e00\u7ec4\u6570\u636e\u7684\u6700\u4f73\u76f4\u7ebf<\/strong>\u3002\u4f8b\u5982\uff0c\u60a8\u53ef\u4ee5\u4f7f\u7528\u5b83\u6765\u5206\u6790\u690d\u7269\u7684\u9ad8\u5ea6\u4e0e\u5176\u63a5\u6536\u5230\u7684\u5149\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u4ee5\u786e\u5b9a\u690d\u7269\u5728\u4e0d\u540c\u5149\u7167\u6761\u4ef6\u4e0b\u7684\u751f\u957f\u60c5\u51b5\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u5b9a\u7406\u63d2\u503c<\/h3>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6700\u5c0f\u4e8c\u4e58\u6cd5\u4e5f\u5e94\u7528\u4e8e\u63d2\u503c\u5b9a\u7406\u4e2d\uff0c\u4ee5<strong>\u627e\u5230\u6700\u9002\u5408\u4e00\u7ec4\u70b9\u7684\u591a\u9879\u5f0f\u51fd\u6570<\/strong>\u3002\u4f8b\u5982\uff0c\u60a8\u53ef\u4ee5\u4f7f\u7528\u5b83\u6839\u636e\u4f4d\u7f6e\u548c\u65f6\u95f4\u6570\u636e\u6765\u8fd1\u4f3c\u79fb\u52a8\u7269\u4f53\u7684\u8f68\u8ff9\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u66f2\u7ebf\u62df\u5408\u5b9a\u7406<\/h3>\n<p>\u5b83\u5728\u66f2\u7ebf\u62df\u5408\u5b9a\u7406\u4e2d\u7528\u4e8e<strong>\u67e5\u627e\u62df\u5408\u4e00\u7ec4\u6570\u636e\u7684\u66f2\u7ebf<\/strong>\u3002\u8fd9\u5728\u8bf8\u5982\u6c14\u5019\u6570\u636e\u5efa\u6a21\u4ee5\u9884\u6d4b\u6c14\u5019\u53d8\u5316\u6216\u9884\u6d4b\u5c04\u5f39\u8f68\u8ff9\u7b49\u5e94\u7528\u4e2d\u975e\u5e38\u6709\u7528\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u5085\u7acb\u53f6\u5206\u6790\u5b9a\u7406<\/h3>\n<p>\u5728\u5085\u91cc\u53f6\u5206\u6790\u5b9a\u7406\u4e2d\uff0c\u6700\u5c0f\u4e8c\u4e58\u6cd5\u7528\u4e8e<strong>\u4ece\u4e00\u7cfb\u5217\u79bb\u6563\u6570\u636e\u4e2d\u903c\u8fd1\u5468\u671f\u51fd\u6570<\/strong>\u3002\u8fd9\u9002\u7528\u4e8e\u6570\u636e\u4fe1\u4ee4\u4ee5\u53ca\u56fe\u50cf\u548c\u58f0\u97f3\u538b\u7f29\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u975e\u7ebf\u6027\u56de\u5f52\u5b9a\u7406<\/h3>\n<p>\u6700\u540e\uff0c\u6700\u5c0f\u4e8c\u4e58\u6cd5\u8fd8\u5e94\u7528\u4e8e\u975e\u7ebf\u6027\u56de\u5f52\u5b9a\u7406\u4e2d\uff0c\u4ee5\u627e\u5230\u62df\u5408<strong>\u4e0d\u9075\u5faa\u7ebf\u6027\u5173\u7cfb\u7684<\/strong>\u6570\u636e\u96c6\u7684\u6700\u4f73\u66f2\u7ebf\u3002\u4f8b\u5982\uff0c\u60a8\u53ef\u4ee5\u4f7f\u7528\u5b83\u6765\u5206\u6790\u5316\u5b66\u7269\u8d28\u7684\u6d53\u5ea6\u5982\u4f55\u5f71\u54cd\u53cd\u5e94\u901f\u7387\u3002<\/p>\n<h2 class=\"wp-block-heading\"><span id=\"Ejemplo_del_metodo_de_minimos_cuadrados\">\u6700\u5c0f\u4e8c\u4e58\u6cd5\u793a\u4f8b<\/span><\/h2>\n<p>\u4e3a\u4e86\u66f4\u597d\u5730\u7406\u89e3\u5982\u4f55\u5e94\u7528\u6700\u5c0f\u4e8c\u4e58\u6cd5\uff0c\u8ba9\u6211\u4eec\u770b\u4e00\u4e0b\u4e0b\u9762\u7684\u793a\u4f8b\u3002<\/p>\n<p>\u5047\u8bbe\u60a8\u6709\u4ee5\u4e0b\u690d\u7269\u5728\u4e0d\u540c\u661f\u671f\u7684\u9ad8\u5ea6\u6570\u636e\uff08\u4ee5\u5398\u7c73\u4e3a\u5355\u4f4d\uff09\uff1a <\/p>\n<figure class=\"wp-block-table aligncenter\">\n<table class=\"has-fixed-layout\">\n<tbody>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"><strong>\u661f\u671f<\/strong><\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"><strong>\u9ad8\u5ea6\uff08\u5398\u7c73\uff09<\/strong><\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 1<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\u5341<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\">2<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 12<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 3<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 14<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 4<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 16<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 5<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 18<\/td>\n<\/tr>\n<tr>\n<td class=\"has-text-align-center\" data-align=\"center\"> 6<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\">\u4e8c\u5341<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<p>\u60a8\u60f3\u8981\u627e\u5230\u9002\u5408\u8be5\u6570\u636e\u7684\u6700\u4f73\u76f4\u7ebf\u6765\u9884\u6d4b\u672a\u6765\u7684\u690d\u7269\u9ad8\u5ea6\u3002<\/p>\n<p><strong>\u7b2c 1 \u6b65<\/strong>\uff1a\u7ed8\u5236\u6570\u636e\u56fe\u8868<\/p>\n<p>\u9996\u5148\u8981\u505a\u7684\u662f\u5c06\u6570\u636e\u7ed8\u5236\u5728\u6563\u70b9\u56fe\u4e0a\u3002 x \u8f74\u4ee3\u8868\u5468\uff0cy \u8f74\u4ee3\u8868\u9ad8\u5ea6\uff08\u4ee5\u5398\u7c73\u4e3a\u5355\u4f4d\uff09\u3002\u8fd9\u662f\u56fe\u8868\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"284\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/nuage-de-points-des-donnees.webp\" data-src=\"\" alt=\"\u4e91\u6570\u636e\u70b9\" class=\"wp-image-11764 lazyload\" data-srcset=\"https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/04\/Grafico-de-dispersion-de-los-datos-500x284.png 500w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/04\/Grafico-de-dispersion-de-los-datos-800x455.png 800w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/04\/Grafico-de-dispersion-de-los-datos-768x437.png 768w, https:\/\/micalculadoracientifica.com\/wp-content\/uploads\/2023\/04\/Grafico-de-dispersion-de-los-datos.png 892w\" sizes=\"auto, \" srcset=\"\"><\/figure>\n<\/div>\n<p><strong>\u6b65\u9aa4 2<\/strong> \uff1a\u5e94\u7528\u6700\u5c0f\u4e8c\u4e58\u6cd5<\/p>\n<p>\u6700\u5c0f\u4e8c\u4e58\u6cd5\u5bfb\u6c42\u627e\u5230\u4e00\u6761\u7ebf\uff0c\u4f7f\u5b9e\u9645\u6570\u636e\u4e0e\u7ebf\u9884\u6d4b\u503c\u4e4b\u95f4\u7684\u5dee\u503c\u5e73\u65b9\u548c\u6700\u5c0f\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u76f4\u7ebf\u7531\u76f4\u7ebf\u65b9\u7a0b\u8868\u793a\uff1ay = mx + b\uff0c\u5176\u4e2d\u201cy\u201d\u662f\u9ad8\u5ea6\uff0c\u201cx\u201d\u662f\u5468\u6570\uff0c\u201cm\u201d\u662f\u76f4\u7ebf\u7684\u659c\u7387\uff0c\u201cb\u201d\u662fy \u8f74\u622a\u8ddd\u3002<\/p>\n<p>\u4e3a\u4e86\u627e\u5230\u4f7f\u5dee\u503c\u5e73\u65b9\u548c\u6700\u5c0f\u7684\u201cm\u201d\u548c\u201cb\u201d\u7684\u503c\uff0c\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\uff1a <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"254\" height=\"138\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/minimiser-les-carres-de-differences.webp\" data-src=\"\" alt=\"\u6700\u5c0f\u5316\u5dee\u5f02\u5e73\u65b9\" class=\"wp-image-11765 lazyload\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5176\u4e2d N \u662f\u6570\u636e\u70b9\u7684\u6570\u91cf\uff08\u5728\u672c\u4f8b\u4e2d\u4e3a 6\uff09\uff0c\u03a3xy \u662f\u5468\u7684\u603b\u548c\u4e58\u4ee5\u8eab\u9ad8\uff0c\u03a3x \u662f\u5468\u7684\u603b\u548c\uff0c\u03a3y \u662f\u8eab\u9ad8\u7684\u603b\u548c\uff0c\u03a3x <sup>2<\/sup>\u662f\u5468\u7684\u5e73\u65b9\u548c\u3002<\/p>\n<p>\u5c06\u8fd9\u4e9b\u516c\u5f0f\u5e94\u7528\u4e8e\u9ad8\u5ea6\u6570\u636e\uff0c\u6211\u4eec\u5f97\u5230\uff1a<\/p>\n<p class=\"has-text-align-center\"> \u03a3xy = 1 10 + 2 12 + 3 14 + 4 16 + 5 18 + 6 20 = 630<\/p>\n<p class=\"has-text-align-center\"> \u03a3x = 1 + 2 + 3 + 4 + 5 + 6 = 21<\/p>\n<p class=\"has-text-align-center\"> \u03a3y = 10 + 12 + 14 + 16 + 18 + 20 = 90<\/p>\n<p class=\"has-text-align-center\"> \u03a3x <sup>2<\/sup> = 1 <sup>2<\/sup> + 2 <sup>2<\/sup> + 3 <sup>2<\/sup> + 4 <sup>2<\/sup> + 5 <sup>2<\/sup> + 6 <sup>2<\/sup> = 91<\/p>\n<p>\u5c06\u8fd9\u4e9b\u503c\u4ee3\u5165\u201cm\u201d\u548c\u201cb\u201d\u7684\u516c\u5f0f\u4e2d\uff1a<\/p>\n<p class=\"has-text-align-center\"> m = (6\u00b7630 \u2013 21\u00b790) \u00f7 (6\u00b791 \u2013 21 <sup>2<\/sup> ) \u2248 2.07<\/p>\n<p class=\"has-text-align-center\"> b = (90 \u2013 2.07 \u00b7 21) \u00f7 6 \u2248 3.24<\/p>\n<p>\u56e0\u6b64\uff0c\u9ad8\u5ea6\u6570\u636e\u5bf9\u5e94\u7684\u76f4\u7ebf\u65b9\u7a0b\u4e3a\uff1ay\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6700\u5c0f\u4e8c\u4e58\u6cd5\u662f\u4e00\u79cd\u7528\u4e8e\u5bfb\u627e\u4e0e\u4e00\u7ec4\u70b9\u76f8\u5bf9\u5e94\u7684\u6700\u4f73\u76f4\u7ebf\u7684\u6570\u5b66\u5de5\u5177\u3002\u6211\u4eec\u7528\u7b80\u5355\u7684\u65b9\u5f0f\u5411\u60a8\u89e3\u91ca\uff1a \u60f3\u8c61\u4e00\u4e0b\uff0c\u56fe\u8868\u4e0a\u6709\u4e00\u5806 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/\"> <span class=\"screen-reader-text\">\u4ec0\u4e48\u662f\u6700\u5c0f\u4e8c\u4e58\u6cd5\uff1f<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[9,27],"tags":[],"class_list":["post-202","post","type-post","status-publish","format-standard","hentry","category-9","category-27"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u4ec0\u4e48\u662f\u6700\u5c0f\u4e8c\u4e58\u6cd5\uff1f -Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/cn\/\u6700\u5c0f\u4e8c\u4e58\u6cd5\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u4ec0\u4e48\u662f\u6700\u5c0f\u4e8c\u4e58\u6cd5\uff1f -Mathority\" \/>\n<meta property=\"og:description\" content=\"\u6700\u5c0f\u4e8c\u4e58\u6cd5\u662f\u4e00\u79cd\u7528\u4e8e\u5bfb\u627e\u4e0e\u4e00\u7ec4\u70b9\u76f8\u5bf9\u5e94\u7684\u6700\u4f73\u76f4\u7ebf\u7684\u6570\u5b66\u5de5\u5177\u3002\u6211\u4eec\u7528\u7b80\u5355\u7684\u65b9\u5f0f\u5411\u60a8\u89e3\u91ca\uff1a \u60f3\u8c61\u4e00\u4e0b\uff0c\u56fe\u8868\u4e0a\u6709\u4e00\u5806 &hellip; \u4ec0\u4e48\u662f\u6700\u5c0f\u4e8c\u4e58\u6cd5\uff1f \u67e5\u770b\u5168\u6587 &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/cn\/\u6700\u5c0f\u4e8c\u4e58\u6cd5\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-15T02:22:02+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-la-methode-des-moindres-carres.webp\" \/>\n<meta name=\"author\" content=\"Mathority\u56e2\u961f\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mathority\u56e2\u961f\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/\"},\"author\":{\"name\":\"Mathority\u56e2\u961f\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\"},\"headline\":\"\u4ec0\u4e48\u662f\u6700\u5c0f\u4e8c\u4e58\u6cd5\uff1f\",\"datePublished\":\"2023-07-15T02:22:02+00:00\",\"dateModified\":\"2023-07-15T02:22:02+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/\"},\"wordCount\":64,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/cn\/#organization\"},\"articleSection\":[\"\u6570\u5b66\u89e3\u91ca\",\"\u7edf\u8ba1\u6570\u636e\"],\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/\",\"url\":\"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/\",\"name\":\"\u4ec0\u4e48\u662f\u6700\u5c0f\u4e8c\u4e58\u6cd5\uff1f -Mathority\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/#website\"},\"datePublished\":\"2023-07-15T02:22:02+00:00\",\"dateModified\":\"2023-07-15T02:22:02+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/cn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u4ec0\u4e48\u662f\u6700\u5c0f\u4e8c\u4e58\u6cd5\uff1f\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/cn\/#website\",\"url\":\"https:\/\/mathority.org\/cn\/\",\"name\":\"Mathority\",\"description\":\"\u597d\u5947\u5fc3\u4e0e\u8ba1\u7b97\u7684\u7ed3\u5408\uff01\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/cn\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/cn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/cn\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/cn\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\",\"name\":\"Mathority\u56e2\u961f\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"caption\":\"Mathority\u56e2\u961f\"},\"sameAs\":[\"http:\/\/mathority.org\/cn\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u4ec0\u4e48\u662f\u6700\u5c0f\u4e8c\u4e58\u6cd5\uff1f -Mathority","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/cn\/\u6700\u5c0f\u4e8c\u4e58\u6cd5\/","og_locale":"zh_CN","og_type":"article","og_title":"\u4ec0\u4e48\u662f\u6700\u5c0f\u4e8c\u4e58\u6cd5\uff1f -Mathority","og_description":"\u6700\u5c0f\u4e8c\u4e58\u6cd5\u662f\u4e00\u79cd\u7528\u4e8e\u5bfb\u627e\u4e0e\u4e00\u7ec4\u70b9\u76f8\u5bf9\u5e94\u7684\u6700\u4f73\u76f4\u7ebf\u7684\u6570\u5b66\u5de5\u5177\u3002\u6211\u4eec\u7528\u7b80\u5355\u7684\u65b9\u5f0f\u5411\u60a8\u89e3\u91ca\uff1a \u60f3\u8c61\u4e00\u4e0b\uff0c\u56fe\u8868\u4e0a\u6709\u4e00\u5806 &hellip; \u4ec0\u4e48\u662f\u6700\u5c0f\u4e8c\u4e58\u6cd5\uff1f \u67e5\u770b\u5168\u6587 &raquo;","og_url":"https:\/\/mathority.org\/cn\/\u6700\u5c0f\u4e8c\u4e58\u6cd5\/","article_published_time":"2023-07-15T02:22:02+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/formule-de-la-methode-des-moindres-carres.webp"}],"author":"Mathority\u56e2\u961f","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"Mathority\u56e2\u961f"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/"},"author":{"name":"Mathority\u56e2\u961f","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071"},"headline":"\u4ec0\u4e48\u662f\u6700\u5c0f\u4e8c\u4e58\u6cd5\uff1f","datePublished":"2023-07-15T02:22:02+00:00","dateModified":"2023-07-15T02:22:02+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/"},"wordCount":64,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/cn\/#organization"},"articleSection":["\u6570\u5b66\u89e3\u91ca","\u7edf\u8ba1\u6570\u636e"],"inLanguage":"zh-Hans","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/","url":"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/","name":"\u4ec0\u4e48\u662f\u6700\u5c0f\u4e8c\u4e58\u6cd5\uff1f -Mathority","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/#website"},"datePublished":"2023-07-15T02:22:02+00:00","dateModified":"2023-07-15T02:22:02+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/cn\/%e6%9c%80%e5%b0%8f%e4%ba%8c%e4%b9%98%e6%b3%95\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/cn\/"},{"@type":"ListItem","position":2,"name":"\u4ec0\u4e48\u662f\u6700\u5c0f\u4e8c\u4e58\u6cd5\uff1f"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/cn\/#website","url":"https:\/\/mathority.org\/cn\/","name":"Mathority","description":"\u597d\u5947\u5fc3\u4e0e\u8ba1\u7b97\u7684\u7ed3\u5408\uff01","publisher":{"@id":"https:\/\/mathority.org\/cn\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/cn\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Organization","@id":"https:\/\/mathority.org\/cn\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/cn\/","logo":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071","name":"Mathority\u56e2\u961f","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","caption":"Mathority\u56e2\u961f"},"sameAs":["http:\/\/mathority.org\/cn"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/202","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/comments?post=202"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/202\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/media?parent=202"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/categories?post=202"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/tags?post=202"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}