{"id":984,"date":"2023-07-28T02:35:28","date_gmt":"2023-07-28T02:35:28","guid":{"rendered":"https:\/\/statorials.org\/cn\/%e4%ba%8c%e6%ac%a1%e5%9b%9e%e5%bd%92-python\/"},"modified":"2023-07-28T02:35:28","modified_gmt":"2023-07-28T02:35:28","slug":"%e4%ba%8c%e6%ac%a1%e5%9b%9e%e5%bd%92-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/cn\/%e4%ba%8c%e6%ac%a1%e5%9b%9e%e5%bd%92-python\/","title":{"rendered":"\u5982\u4f55\u5728 python \u4e2d\u6267\u884c\u4e8c\u6b21\u56de\u5f52"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u4e8c\u6b21\u56de\u5f52<\/strong>\u662f\u4e00\u79cd\u56de\u5f52\u7c7b\u578b\uff0c\u5f53\u771f\u5b9e\u5173\u7cfb\u662f\u4e8c\u6b21\u5173\u7cfb\uff08\u5728\u56fe\u8868\u4e0a\u53ef\u80fd\u770b\u8d77\u6765\u50cf\u201cU\u201d\u6216\u5012\u201cU\u201d\uff09\u65f6\uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u5b83\u6765\u91cf\u5316\u9884\u6d4b\u53d8\u91cf\u548c\u54cd\u5e94\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u4e5f\u5c31\u662f\u8bf4\uff0c\u968f\u7740\u9884\u6d4b\u53d8\u91cf\u7684\u589e\u52a0\uff0c\u54cd\u5e94\u53d8\u91cf\u4e5f\u8d8b\u4e8e\u589e\u52a0\uff0c\u4f46\u5728\u67d0\u4e00\u70b9\u4e4b\u540e\uff0c\u968f\u7740\u9884\u6d4b\u53d8\u91cf\u7ee7\u7eed\u589e\u52a0\uff0c\u54cd\u5e94\u53d8\u91cf\u5f00\u59cb\u51cf\u5c11\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u672c\u6559\u7a0b\u4ecb\u7ecd\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c\u4e8c\u6b21\u56de\u5f52\u3002<\/span><\/p>\n<h2><strong><span style=\"color: #000000;\">\u793a\u4f8b\uff1aPython \u4e2d\u7684\u4e8c\u6b21\u56de\u5f52<\/span><\/strong><\/h2>\n<p><span style=\"color: #000000;\">\u5047\u8bbe\u6211\u4eec\u6709 16 \u4e2a\u4e0d\u540c\u7684\u4eba\u6bcf\u5468\u5de5\u4f5c\u65f6\u6570\u548c\u62a5\u544a\u7684\u5e78\u798f\u7a0b\u5ea6\uff08\u8303\u56f4\u4e3a 0 \u5230 100\uff09\u7684\u6570\u636e\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<span style=\"color: #107d3f;\">import<\/span> scipy.stats <span style=\"color: #107d3f;\">as<\/span> stats\n\n<span style=\"color: #008080;\">#define variables<\/span>\nhours = [6, 9, 12, 12, 15, 21, 24, 24, 27, 30, 36, 39, 45, 48, 57, 60]\nhapp = [12, 18, 30, 42, 48, 78, 90, 96, 96, 90, 84, 78, 66, 54, 36, 24]<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u5982\u679c\u6211\u4eec\u5bf9\u8fd9\u4e9b\u6570\u636e\u505a\u4e00\u4e2a\u7b80\u5355\u7684\u6563\u70b9\u56fe\uff0c\u6211\u4eec\u53ef\u4ee5\u770b\u5230\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u662f\u201cU\u201d\u5f62\u7684\uff1a<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import <span style=\"color: #000000;\">matplotlib.pyplot<\/span> as <span style=\"color: #000000;\">plt<\/span>\n\n<span style=\"color: #000000;\"><span style=\"color: #008080;\">#create scatterplot\n<\/span>plt.scatter(hours, happ)<\/span><\/span><\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10240 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadregpython1.png\" alt=\"\" width=\"376\" height=\"248\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p><span style=\"color: #000000;\">\u968f\u7740\u5de5\u4f5c\u65f6\u95f4\u7684\u589e\u52a0\uff0c\u5e78\u798f\u611f\u4e5f\u4f1a\u589e\u52a0\uff0c\u4f46\u4e00\u65e6\u6bcf\u5468\u5de5\u4f5c\u65f6\u95f4\u8d85\u8fc7\u7ea6 35 \u5c0f\u65f6\uff0c\u5e78\u798f\u611f\u5c31\u5f00\u59cb\u4e0b\u964d\u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u7531\u4e8e\u8fd9\u79cd\u201cU\u201d\u5f62\u72b6\uff0c\u8fd9\u610f\u5473\u7740\u4e8c\u6b21\u56de\u5f52\u53ef\u80fd\u662f\u91cf\u5316\u4e24\u4e2a\u53d8\u91cf\u4e4b\u95f4\u5173\u7cfb\u7684\u826f\u597d\u5019\u9009\u8005\u3002<\/span><\/p>\n<p>\u8981\u5b9e\u9645\u6267\u884c\u4e8c\u6b21\u56de\u5f52\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528<a href=\"https:\/\/numpy.org\/doc\/stable\/reference\/generated\/numpy.polyfit.html\" target=\"_blank\" rel=\"noopener noreferrer\">numpy.polyfit()<\/a><span style=\"color: #000000;\">\u51fd\u6570<\/span><span style=\"color: #000000;\">\u62df\u5408\u6b21\u6570\u4e3a 2 \u7684\u591a\u9879\u5f0f\u56de\u5f52\u6a21\u578b<\/span>\uff1a <\/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 = 2\n<\/span>model = np.poly1d(np.polyfit(hours, happ, 2))\n\n<span style=\"color: #008080;\">#add fitted polynomial line to scatterplot\n<\/span>polyline = np.linspace(1, 60, 50)\nplt.scatter(hours, happ)\nplt.plot(polyline, model(polyline))\nplt.show()<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10242\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quadregpython2.png\" alt=\"Python \u4e2d\u7684\u4e8c\u6b21\u56de\u5f52\" width=\"412\" height=\"273\" 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><span style=\"color: #993300;\">print<\/span> (model)\n\n-0.107x <sup>2<\/sup> + 7.173x - 30.25\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u62df\u5408\u7684\u4e8c\u6b21\u56de\u5f52\u65b9\u7a0b\u4e3a\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\"><strong>\u5e78\u798f = -0.107(\u5c0f\u65f6) <sup>2<\/sup> + 7.173(\u5c0f\u65f6) \u2013 30.25<\/strong><\/span><\/p>\n<p><span style=\"color: #000000;\">\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u8fd9\u4e2a\u65b9\u7a0b\u6839\u636e\u4e2a\u4eba\u7684\u5de5\u4f5c\u65f6\u95f4\u6765\u8ba1\u7b97\u4ed6\u4eec\u7684\u9884\u671f\u5e78\u798f\u6c34\u5e73\u3002\u4f8b\u5982\uff0c\u6bcf\u5468\u5de5\u4f5c 30 \u5c0f\u65f6\u7684\u4eba\u7684\u9884\u671f\u5e78\u798f\u6c34\u5e73\u662f\uff1a<\/span><\/p>\n<p><span style=\"color: #000000;\">\u5e78\u798f = -0.107(30) <sup>2<\/sup> + 7.173(30) \u2013 30.25 = <strong>88.64<\/strong> \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 = np.polyfit(x, y, degree)\n    p = np.poly1d(coeffs)\n    <span style=\"color: #008080;\">#calculate r-squared<\/span>\n    yhat = p(x)\n    ybar = np.sum(y)\/len(y)\n    ssreg = np.sum((yhat-ybar)**2)\n    sstot = np.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(hours, happ, 2)\n\n{'r_squared': 0.9092114182131691}\n<\/strong><\/pre>\n<p><span style=\"color: #000000;\">\u5728\u6b64\u793a\u4f8b\u4e2d\uff0c\u6a21\u578b\u7684 R \u65b9\u4e3a<strong>0.9092<\/strong> \u3002<\/span><\/p>\n<p><span style=\"color: #000000;\">\u8fd9\u610f\u5473\u7740\u62a5\u544a\u7684\u5e78\u798f\u6c34\u5e73\u7684 90.92% \u7684\u53d8\u5316\u53ef\u4ee5\u901a\u8fc7\u9884\u6d4b\u53d8\u91cf\u6765\u89e3\u91ca\u3002<\/span><\/p>\n<h2><span style=\"color: #000000;\"><strong>\u5176\u4ed6\u8d44\u6e90<\/strong><\/span><\/h2>\n<p><a href=\"https:\/\/statorials.org\/cn\/\u591a\u9879\u5f0f\u56de\u5f52-python\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5982\u4f55\u5728 Python \u4e2d\u6267\u884c\u591a\u9879\u5f0f\u56de\u5f52<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u4e8c\u6b21\u56de\u5f52-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5982\u4f55\u5728 R \u4e2d\u6267\u884c\u4e8c\u6b21\u56de\u5f52<\/a><br \/><a href=\"https:\/\/statorials.org\/cn\/\u4e8c\u6b21\u56de\u5f52excel\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u5982\u4f55\u5728 Excel \u4e2d\u6267\u884c\u4e8c\u6b21\u56de\u5f52<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e8c\u6b21\u56de\u5f52\u662f\u4e00\u79cd\u56de\u5f52\u7c7b\u578b\uff0c\u5f53\u771f\u5b9e\u5173\u7cfb\u662f\u4e8c\u6b21\u5173\u7cfb\uff08\u5728\u56fe\u8868\u4e0a\u53ef\u80fd\u770b\u8d77\u6765\u50cf\u201cU\u201d\u6216\u5012\u201cU\u201d\uff09\u65f6\uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u5b83\u6765\u91cf\u5316\u9884\u6d4b [&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-984","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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