{"id":6068,"date":"2024-05-29T14:49:24","date_gmt":"2024-05-29T06:49:24","guid":{"rendered":"https:\/\/t.n-years.com\/?p=6068"},"modified":"2024-05-29T14:49:25","modified_gmt":"2024-05-29T06:49:25","slug":"%e7%ba%bf%e6%80%a7%e5%9b%9e%e5%bd%92%e7%9a%84%e6%8e%a8%e7%90%86%e8%bf%87%e7%a8%8b%e4%b8%be%e4%be%8b","status":"publish","type":"post","link":"https:\/\/t.n-years.com\/?p=6068","title":{"rendered":"\u7ebf\u6027\u56de\u5f52\u7684\u63a8\u7406\u8fc7\u7a0b\u4e3e\u4f8b"},"content":{"rendered":"\n<p>\u975e\u539f\u521b\uff0cChatGPT \u95ee\u7b54\u751f\u6210<\/p>\n\n\n\n<p>\u597d\u7684\uff0c\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u7b80\u5355\u7684\u4f8b\u5b50\u6765\u6f14\u793a\u7ebf\u6027\u56de\u5f52\u7684\u63a8\u7406\u8fc7\u7a0b\u3002\u5047\u8bbe\u6211\u4eec\u6709\u4ee5\u4e0b\u4e00\u7ec4\u6570\u636e\uff0c\u8868\u793a\u4e00\u4e9b\u5b66\u751f\u7684\u5b66\u4e60\u65f6\u95f4\uff08\u5c0f\u65f6\uff09\u548c\u5bf9\u5e94\u7684\u8003\u8bd5\u6210\u7ee9\uff08\u5206\u6570\uff09\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>\u5b66\u4e60\u65f6\u95f4\uff08\u5c0f\u65f6\uff09<\/th><th>\u8003\u8bd5\u6210\u7ee9\uff08\u5206\u6570\uff09<\/th><\/tr><\/thead><tbody><tr><td>1<\/td><td>50<\/td><\/tr><tr><td>2<\/td><td>60<\/td><\/tr><tr><td>3<\/td><td>70<\/td><\/tr><tr><td>4<\/td><td>80<\/td><\/tr><tr><td>5<\/td><td>90<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u6211\u4eec\u7684\u76ee\u6807\u662f\u4f7f\u7528\u7ebf\u6027\u56de\u5f52\u6765\u5efa\u7acb\u5b66\u4e60\u65f6\u95f4\u548c\u8003\u8bd5\u6210\u7ee9\u4e4b\u95f4\u7684\u5173\u7cfb\u6a21\u578b\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. \u516c\u5f0f<\/h3>\n\n\n\n<p>\u7ebf\u6027\u56de\u5f52\u7684\u6a21\u578b\u53ef\u4ee5\u8868\u793a\u4e3a\uff1a<br>[ y = \\beta_0 + \\beta_1 x ]<br>\u5176\u4e2d\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( y ) \u662f\u9884\u6d4b\u7684\u76ee\u6807\u53d8\u91cf\uff08\u8003\u8bd5\u6210\u7ee9\uff09\u3002<\/li>\n\n\n\n<li>( x ) \u662f\u7279\u5f81\u53d8\u91cf\uff08\u5b66\u4e60\u65f6\u95f4\uff09\u3002<\/li>\n\n\n\n<li>( \\beta_0 ) \u662f\u622a\u8ddd\uff08\u6a21\u578b\u5728 y \u8f74\u4e0a\u7684\u622a\u8ddd\uff09\u3002<\/li>\n\n\n\n<li>( \\beta_1 ) \u662f\u659c\u7387\uff08\u7279\u5f81\u53d8\u91cf\u7684\u7cfb\u6570\uff09\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">2. \u6570\u636e\u51c6\u5907<\/h3>\n\n\n\n<p>\u6211\u4eec\u5c06\u6570\u636e\u51c6\u5907\u6210\u7279\u5f81\u548c\u76ee\u6807\u53d8\u91cf\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>import numpy as np\nimport matplotlib.pyplot as plt\nfrom sklearn.linear_model import LinearRegression\n\n# \u7279\u5f81\u53d8\u91cf\uff08\u5b66\u4e60\u65f6\u95f4\uff09\nX = np.array(&#91;1, 2, 3, 4, 5]).reshape(-1, 1)\n\n# \u76ee\u6807\u53d8\u91cf\uff08\u8003\u8bd5\u6210\u7ee9\uff09\ny = np.array(&#91;50, 60, 70, 80, 90])<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">3. \u5efa\u7acb\u6a21\u578b<\/h3>\n\n\n\n<p>\u4f7f\u7528 scikit-learn \u4e2d\u7684 <code>LinearRegression<\/code> \u7c7b\u6765\u62df\u5408\u6211\u4eec\u7684\u6570\u636e\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># \u521b\u5efa\u7ebf\u6027\u56de\u5f52\u6a21\u578b\nmodel = LinearRegression()\n\n# \u62df\u5408\u6a21\u578b\nmodel.fit(X, y)\n\n# \u83b7\u53d6\u6a21\u578b\u7684\u622a\u8ddd\u548c\u659c\u7387\nintercept = model.intercept_\nslope = model.coef_&#91;0]\n\nprint(f\"\u622a\u8ddd (\u03b20): {intercept}\")\nprint(f\"\u659c\u7387 (\u03b21): {slope}\")<\/code><\/pre>\n\n\n\n<p>\u6267\u884c\u4e0a\u8ff0\u4ee3\u7801\u540e\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\u6a21\u578b\u7684\u622a\u8ddd\u548c\u659c\u7387\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">4. \u6a21\u578b\u63a8\u7406<\/h3>\n\n\n\n<p>\u6839\u636e\u62df\u5408\u597d\u7684\u6a21\u578b\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\u7ebf\u6027\u56de\u5f52\u7684\u65b9\u7a0b\uff1a<br>[ y = 40 + 10x ]<br>\u4e5f\u5c31\u662f\u8bf4\uff0c\u9884\u6d4b\u7684\u8003\u8bd5\u6210\u7ee9 ( y ) \u4e0e\u5b66\u4e60\u65f6\u95f4 ( x ) \u4e4b\u95f4\u7684\u5173\u7cfb\u662f\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u622a\u8ddd ( \u03b20 ) \u4e3a 40\u3002<\/li>\n\n\n\n<li>\u659c\u7387 ( \u03b21 ) \u4e3a 10\u3002<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">5. \u9884\u6d4b\u548c\u53ef\u89c6\u5316<\/h3>\n\n\n\n<p>\u4f7f\u7528\u6a21\u578b\u8fdb\u884c\u9884\u6d4b\uff0c\u5e76\u53ef\u89c6\u5316\u7ed3\u679c\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code># \u9884\u6d4b\u7ed3\u679c\ny_pred = model.predict(X)\n\n# \u53ef\u89c6\u5316\u7ed3\u679c\nplt.scatter(X, y, color='blue', label='\u771f\u5b9e\u6570\u636e')\nplt.plot(X, y_pred, color='red', label='\u62df\u5408\u76f4\u7ebf')\nplt.xlabel('\u5b66\u4e60\u65f6\u95f4\uff08\u5c0f\u65f6\uff09')\nplt.ylabel('\u8003\u8bd5\u6210\u7ee9\uff08\u5206\u6570\uff09')\nplt.title('\u7ebf\u6027\u56de\u5f52\u62df\u5408\u7ed3\u679c')\nplt.legend()\nplt.show()<\/code><\/pre>\n\n\n\n<h3 class=\"wp-block-heading\">6. \u63a8\u7406\u8fc7\u7a0b<\/h3>\n\n\n\n<p>\u7ed9\u5b9a\u65b0\u7684\u5b66\u4e60\u65f6\u95f4\u6570\u636e\uff0c\u4f8b\u59826\u5c0f\u65f6\uff0c\u4f7f\u7528\u6a21\u578b\u8fdb\u884c\u9884\u6d4b\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>new_study_time = np.array(&#91;&#91;6]])\npredicted_score = model.predict(new_study_time)\nprint(f\"\u9884\u6d4b\u7684\u8003\u8bd5\u6210\u7ee9: {predicted_score&#91;0]}\")<\/code><\/pre>\n\n\n\n<p>\u6839\u636e\u6211\u4eec\u7684\u6a21\u578b\uff0c6\u5c0f\u65f6\u7684\u5b66\u4e60\u65f6\u95f4\u9884\u6d4b\u7684\u8003\u8bd5\u6210\u7ee9\u4e3a\uff1a<br>[ y = 40 + 10 \\times 6 = 100 ]<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">\u7ed3\u679c<\/h3>\n\n\n\n<p>\u901a\u8fc7\u4e0a\u8ff0\u63a8\u7406\u8fc7\u7a0b\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u51fa\uff0c\u5b66\u4e60\u65f6\u95f4\u4e0e\u8003\u8bd5\u6210\u7ee9\u4e4b\u95f4\u5b58\u5728\u4e00\u4e2a\u7ebf\u6027\u7684\u5173\u7cfb\u3002\u901a\u8fc7\u6a21\u578b\u63a8\u7406\uff0c\u6211\u4eec\u4e0d\u4ec5\u80fd\u89e3\u91ca\u5df2\u6709\u6570\u636e\uff0c\u8fd8\u80fd\u9884\u6d4b\u65b0\u7684\u6570\u636e\u3002<\/p>\n\n\n\n<p>\u603b\u7ed3\u4e00\u4e0b\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u622a\u8ddd<\/strong> ( \u03b20 ) \u8868\u793a\u6ca1\u6709\u5b66\u4e60\u65f6\u95f4\u65f6\u7684\u57fa\u7840\u6210\u7ee9\u3002<\/li>\n\n\n\n<li><strong>\u659c\u7387<\/strong> ( \u03b21 ) \u8868\u793a\u6bcf\u589e\u52a0\u4e00\u5c0f\u65f6\u5b66\u4e60\u65f6\u95f4\uff0c\u8003\u8bd5\u6210\u7ee9\u7684\u63d0\u5347\u5e45\u5ea6\u3002<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u975e\u539f\u521b\uff0cChatGPT \u95ee\u7b54\u751f\u6210 \u597d\u7684\uff0c\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u7b80\u5355\u7684\u4f8b\u5b50\u6765\u6f14\u793a\u7ebf\u6027\u56de\u5f52\u7684\u63a8\u7406\u8fc7\u7a0b\u3002\u5047\u8bbe\u6211\u4eec\u6709\u4ee5\u4e0b\u4e00\u7ec4\u6570\u636e&#8230; <\/p>\n<div class=\"read-more navbutton\"><a href=\"https:\/\/t.n-years.com\/?p=6068\">\u9605\u8bfb\u66f4\u591a<i class=\"fa fa-angle-double-right\"><\/i><\/a><\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[5],"tags":[53,52,51],"class_list":["post-6068","post","type-post","status-publish","format-standard","hentry","category-5","tag-llm","tag-52","tag-51"],"_links":{"self":[{"href":"https:\/\/t.n-years.com\/index.php?rest_route=\/wp\/v2\/posts\/6068","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/t.n-years.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/t.n-years.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/t.n-years.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/t.n-years.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6068"}],"version-history":[{"count":1,"href":"https:\/\/t.n-years.com\/index.php?rest_route=\/wp\/v2\/posts\/6068\/revisions"}],"predecessor-version":[{"id":6069,"href":"https:\/\/t.n-years.com\/index.php?rest_route=\/wp\/v2\/posts\/6068\/revisions\/6069"}],"wp:attachment":[{"href":"https:\/\/t.n-years.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6068"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/t.n-years.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6068"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/t.n-years.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6068"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}