{"id":884,"date":"2023-07-28T10:44:58","date_gmt":"2023-07-28T10:44:58","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e5%9b%9e%e5%bd%92-python\/"},"modified":"2023-07-28T10:44:58","modified_gmt":"2023-07-28T10:44:58","slug":"%e5%a4%9a%e9%a1%b9%e5%bc%8f%e5%9b%9e%e5%bd%92-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e5%a4%9a%e9%a1%b9%e5%bc%8f%e5%9b%9e%e5%bd%92-python\/","title":{"rendered":"\u5982\u4f55\u5728 python \u4e2d\u6267\u884c\u591a\u9879\u5f0f\u56de\u5f52"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u56de\u5f52\u5206\u6790\u7528\u4e8e\u91cf\u5316\u4e00\u4e2a\u6216\u591a\u4e2a\u89e3\u91ca\u53d8\u91cf\u4e0e\u54cd\u5e94\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6700\u5e38\u89c1\u7684\u56de\u5f52\u5206\u6790\u7c7b\u578b\u662f<a href=\"https:\/\/statorials.org\/cn\/\u7ebf\u6027\u56de\u5f521\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u7b80\u5355\u7ebf\u6027\u56de\u5f52<\/a>\uff0c\u5f53\u9884\u6d4b\u53d8\u91cf\u548c\u54cd\u5e94\u53d8\u91cf\u5177\u6709\u7ebf\u6027\u5173\u7cfb\u65f6\u4f7f\u7528\u3002<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9521 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polynomialpython1.png\" alt=\"\" width=\"371\" height=\"249\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u7136\u800c\uff0c\u6709\u65f6\u9884\u6d4b\u53d8\u91cf\u548c\u54cd\u5e94\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u662f\u975e\u7ebf\u6027\u7684\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u771f\u5b9e\u5173\u7cfb\u53ef\u80fd\u662f\u4e8c\u6b21\u5173\u7cfb\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-9522 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polynomialpython2.png\" alt=\"\" width=\"369\" height=\"256\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6216\u8005\u5b83\u53ef\u4ee5\u662f\u7acb\u65b9\u7684\uff1a<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9523 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polynomialpython3.png\" alt=\"\" width=\"382\" height=\"258\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u5728\u8fd9\u4e9b\u60c5\u51b5\u4e0b\uff0c\u4f7f\u7528<strong>\u591a\u9879\u5f0f\u56de\u5f52<\/strong>\u662f\u6709\u610f\u4e49\u7684\uff0c\u5b83\u53ef\u4ee5\u89e3\u91ca\u53d8\u91cf\u4e4b\u95f4\u7684\u975e\u7ebf\u6027\u5173\u7cfb\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c\u591a\u9879\u5f0f\u56de\u5f52\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u793a\u4f8b\uff1aPython \u4e2d\u7684\u591a\u9879\u5f0f\u56de\u5f52<\/strong><\/span><\/h2>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u5728 Python \u4e2d\u6709\u4ee5\u4e0b\u9884\u6d4b\u53d8\u91cf (x) \u548c\u54cd\u5e94\u53d8\u91cf (y)\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>x = [2, 3, 4, 5, 6, 7, 7, 8, 9, 11, 12]\ny = [18, 16, 15, 17, 20, 23, 25, 28, 31, 30, 29]\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u521b\u5efa\u8be5\u6570\u636e\u7684\u7b80\u5355\u6563\u70b9\u56fe\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230 x \u548c y \u4e4b\u95f4\u7684\u5173\u7cfb\u663e\u7136\u4e0d\u662f\u7ebf\u6027\u7684\uff1a<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> matplotlib.pyplot <span style=\"color: #107d3f;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#create scatterplot<\/span> \nplt.scatter(x, y)\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-9524 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polynomialpython4.png\" alt=\"\" width=\"383\" height=\"257\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u56e0\u6b64\uff0c\u5bf9\u8fd9\u4e9b\u6570\u636e\u62df\u5408\u7ebf\u6027\u56de\u5f52\u6a21\u578b\u662f\u6ca1\u6709\u610f\u4e49\u7684\u3002\u76f8\u53cd\uff0c\u6211\u4eec\u53ef\u4ee5\u5c1d\u8bd5\u4f7f\u7528<a href=\"https:\/\/numpy.org\/doc\/stable\/reference\/generated\/numpy.polyfit.html\" target=\"_blank\" rel=\"noopener noreferrer\">numpy.polyfit()<\/a>\u51fd\u6570\u62df\u5408 3 \u6b21\u591a\u9879\u5f0f\u56de\u5f52\u6a21\u578b\uff1a<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n\n<span style=\"color: #008080;\">#polynomial fit with degree = 3\n<\/span>model = np.poly1d(np.polyfit(x, y, 3))\n\n<span style=\"color: #008080;\">#add fitted polynomial line to scatterplot\n<\/span>polyline = np.linspace(1, 12, 50)\nplt.scatter(x, y)\nplt.plot(polyline, model(polyline))\nplt.show()<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9525 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/polynomialpython5.png\" alt=\"Python \u4e2d\u7684\u591a\u9879\u5f0f\u56de\u5f52\u7ebf\" width=\"379\" height=\"249\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u6253\u5370\u6a21\u578b\u7cfb\u6570\u5f97\u5230\u62df\u5408\u7684\u591a\u9879\u5f0f\u56de\u5f52\u65b9\u7a0b\uff1a<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>print(model)\n\npoly1d([ -0.10889554, 2.25592957, -11.83877127, 33.62640038])\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u62df\u5408\u7684\u591a\u9879\u5f0f\u56de\u5f52\u65b9\u7a0b\u4e3a\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>y = -0.109x <sup>3<\/sup> + 2.256x <sup>2<\/sup> \u2013 11.839x + 33.626<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u5728\u7ed9\u5b9a\u89e3\u91ca\u53d8\u91cf\u7684\u7ed9\u5b9a\u503c\u7684\u60c5\u51b5\u4e0b\uff0c\u8be5\u65b9\u7a0b\u53ef\u7528\u4e8e\u67e5\u627e\u54cd\u5e94\u53d8\u91cf\u7684\u671f\u671b\u503c\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4f8b\u5982\uff0c\u5047\u8bbe x = 4\u3002\u54cd\u5e94\u53d8\u91cf y \u7684\u9884\u671f\u503c\u4e3a\uff1a<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = -0.109(4) <sup>3<\/sup> + 2.256(4) <sup>2<\/sup> \u2013 11.839(4) + 33.626= <b>15.39<\/b> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u8fd8\u53ef\u4ee5\u7f16\u5199\u4e00\u4e2a\u7b80\u77ed\u7684\u51fd\u6570\u6765\u83b7\u53d6\u6a21\u578b\u7684 R \u5e73\u65b9\uff0c\u5b83\u662f\u54cd\u5e94\u53d8\u91cf\u4e2d\u53ef\u4ee5\u7531\u9884\u6d4b\u53d8\u91cf\u89e3\u91ca\u7684\u65b9\u5dee\u7684\u6bd4\u4f8b\u3002<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define function to calculate r-squared<\/span>\n<span style=\"color: #008000;\">def<\/span> polyfit(x, y, degree):\n    results = {}\n    coeffs = numpy.polyfit(x, y, degree)\n    p = numpy.poly1d(coeffs)\n    <span style=\"color: #008080;\">#calculate r-squared<\/span>\n    yhat = p(x)\n    ybar = numpy.sum(y)\/len(y)\n    ssreg = numpy.sum((yhat-ybar)**2)\n    sstot = numpy.sum((y - ybar)**2)\n    results['r_squared'] = ssreg \/ sstot\n\n    <span style=\"color: #008000;\">return<\/span> results\n\n<span style=\"color: #008080;\">#find r-squared of polynomial model with degree = 3\n<\/span>polyfit(x, y, 3)\n\n{'r_squared': 0.9841113454245183}\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u5728\u6b64\u793a\u4f8b\u4e2d\uff0c\u6a21\u578b\u7684 R \u5e73\u65b9\u4e3a<strong>0.9841<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u610f\u5473\u7740\u54cd\u5e94\u53d8\u91cf\u4e2d<strong>98.41%<\/strong>\u7684\u53d8\u5f02\u53ef\u4ee5\u901a\u8fc7\u9884\u6d4b\u53d8\u91cf\u6765\u89e3\u91ca\u3002<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u56de\u5f52\u5206\u6790\u7528\u4e8e\u91cf\u5316\u4e00\u4e2a\u6216\u591a\u4e2a\u89e3\u91ca\u53d8\u91cf\u4e0e\u54cd\u5e94\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u3002 \u6700\u5e38\u89c1\u7684\u56de\u5f52\u5206\u6790\u7c7b\u578b\u662f\u7b80\u5355\u7ebf\u6027\u56de\u5f52\uff0c\u5f53\u9884\u6d4b\u53d8\u91cf\u548c\u54cd\u5e94 [&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-884","post","type-post","status-publish","format-standard","hentry","category-11"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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