{"id":1323,"date":"2023-07-26T21:04:15","date_gmt":"2023-07-26T21:04:15","guid":{"rendered":"https:\/\/statorials.org\/ru\/%d0%ba%d0%b2%d0%b0%d0%bd%d1%82%d0%b8%d0%bb%d1%8c%d0%bd%d0%b0%d1%8f-%d1%80%d0%b5%d0%b3%d1%80%d0%b5%d1%81%d1%81%d0%b8%d1%8f-%d0%b2-python\/"},"modified":"2023-07-26T21:04:15","modified_gmt":"2023-07-26T21:04:15","slug":"%d0%ba%d0%b2%d0%b0%d0%bd%d1%82%d0%b8%d0%bb%d1%8c%d0%bd%d0%b0%d1%8f-%d1%80%d0%b5%d0%b3%d1%80%d0%b5%d1%81%d1%81%d0%b8%d1%8f-%d0%b2-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/ru\/%d0%ba%d0%b2%d0%b0%d0%bd%d1%82%d0%b8%d0%bb%d1%8c%d0%bd%d0%b0%d1%8f-%d1%80%d0%b5%d0%b3%d1%80%d0%b5%d1%81%d1%81%d0%b8%d1%8f-%d0%b2-python\/","title":{"rendered":"\u041a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043a\u0432\u0430\u043d\u0442\u0438\u043b\u044c\u043d\u0443\u044e \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044e \u0432 python"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u041b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u2014 \u044d\u0442\u043e \u043c\u0435\u0442\u043e\u0434, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043d\u044f\u0442\u044c \u0432\u0437\u0430\u0438\u043c\u043e\u0441\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u043e\u0434\u043d\u043e\u0439 \u0438\u043b\u0438 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u043c\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438-\u043f\u0440\u0435\u0434\u0438\u043a\u0442\u043e\u0440\u0430\u043c\u0438 \u0438 <a href=\"https:\/\/statorials.org\/ru\/\u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u0435-\u043f\u043e\u044f\u0441\u043d\u044f\u044e\u0449\u0438\u0435-\u043e\u0442\u0432\u0435\u0442\u044b\/\" target=\"_blank\" rel=\"noopener\">\u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043e\u0442\u043a\u043b\u0438\u043a\u0430<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041e\u0431\u044b\u0447\u043d\u043e, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u0443\u044e \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044e, \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u043e\u0446\u0435\u043d\u0438\u0442\u044c \u0441\u0440\u0435\u0434\u043d\u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043e\u0442\u0432\u0435\u0442\u0430.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041e\u0434\u043d\u0430\u043a\u043e \u0432\u043c\u0435\u0441\u0442\u043e \u044d\u0442\u043e\u0433\u043e \u043c\u044b \u043c\u043e\u0433\u043b\u0438 \u0431\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u043c\u0435\u0442\u043e\u0434, \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0439 \u043a\u0430\u043a <strong>\u043a\u0432\u0430\u043d\u0442\u0438\u043b\u044c\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f<\/strong> , \u0434\u043b\u044f \u043e\u0446\u0435\u043d\u043a\u0438 <em>\u043b\u044e\u0431\u043e\u0433\u043e<\/em> \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043a\u0432\u0430\u043d\u0442\u0438\u043b\u044f \u0438\u043b\u0438 \u043f\u0440\u043e\u0446\u0435\u043d\u0442\u0438\u043b\u044f \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043e\u0442\u0432\u0435\u0442\u0430, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440 70-\u0433\u043e \u043f\u0440\u043e\u0446\u0435\u043d\u0442\u0438\u043b\u044f, 90-\u0433\u043e \u043f\u0440\u043e\u0446\u0435\u043d\u0442\u0438\u043b\u044f, 98-\u0433\u043e \u043f\u0440\u043e\u0446\u0435\u043d\u0442\u0438\u043b\u044f \u0438 \u0442.&nbsp;\u0434.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0412 \u044d\u0442\u043e\u043c \u0440\u0443\u043a\u043e\u0432\u043e\u0434\u0441\u0442\u0432\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0439 \u043f\u0440\u0438\u043c\u0435\u0440 \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u043d\u0438\u044f \u044d\u0442\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0434\u043b\u044f \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u0438\u044f \u043a\u0432\u0430\u043d\u0442\u0438\u043b\u044c\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438 \u0432 Python.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u0428\u0430\u0433 1. \u0417\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u0435 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u044b\u0435 \u043f\u0430\u043a\u0435\u0442\u044b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0421\u043d\u0430\u0447\u0430\u043b\u0430 \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u044b\u0435 \u043f\u0430\u043a\u0435\u0442\u044b \u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n<span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> sm\n<span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">formula<\/span> . <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> smf\n<span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u0428\u0430\u0433 2. \u0421\u043e\u0437\u0434\u0430\u0439\u0442\u0435 \u0434\u0430\u043d\u043d\u044b\u0435<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u0438\u043c\u0435\u0440\u0430 \u043c\u044b \u0441\u043e\u0437\u0434\u0430\u0434\u0438\u043c \u043d\u0430\u0431\u043e\u0440 \u0434\u0430\u043d\u043d\u044b\u0445, \u0441\u043e\u0434\u0435\u0440\u0436\u0430\u0449\u0438\u0439 \u0443\u0447\u0435\u0431\u043d\u044b\u0435 \u0447\u0430\u0441\u044b \u0438 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u043e\u0432, \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0435 \u0434\u043b\u044f 100 \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u043e\u0432 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442\u0430:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seeds<\/span> (0)\n\n<span style=\"color: #008080;\">#create dataset\n<\/span>obs = 100\n\nhours = np. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">uniform<\/span> (1, 10, obs)\nscore = 60 + 2*hours + np. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">normal<\/span> (loc=0, scale=.45*hours, size=100)\n\ndf = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #008000;\">hours<\/span> ':hours, ' <span style=\"color: #008000;\">score<\/span> ':score})\n\n<span style=\"color: #008080;\">#view first five rows\n<\/span>df. <span style=\"color: #3366ff;\">head<\/span> ()\n\nhours score\n0 5.939322 68.764553\n1 7.436704 77.888040\n2 6.424870 74.196060\n3 5.903949 67.726441\n4 4.812893 72.849046<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>\u0428\u0430\u0433 3. \u0412\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u0435 \u043a\u0432\u0430\u043d\u0442\u0438\u043b\u044c\u043d\u0443\u044e \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044e<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0414\u0430\u043b\u0435\u0435 \u043c\u044b \u043f\u043e\u0434\u0431\u0435\u0440\u0435\u043c \u043c\u043e\u0434\u0435\u043b\u044c \u043a\u0432\u0430\u043d\u0442\u0438\u043b\u044c\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u0443\u044f \u0447\u0430\u0441\u044b \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u044f \u0432 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u043f\u0440\u0435\u0434\u0438\u043a\u0442\u043e\u0440\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u0438 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u043e\u0432 \u0432 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043e\u0442\u0432\u0435\u0442\u0430.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041c\u044b \u0431\u0443\u0434\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u043c\u043e\u0434\u0435\u043b\u044c \u0434\u043b\u044f \u043f\u0440\u043e\u0433\u043d\u043e\u0437\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u044f \u043e\u0436\u0438\u0434\u0430\u0435\u043c\u043e\u0433\u043e 90-\u0433\u043e \u043f\u0440\u043e\u0446\u0435\u043d\u0442\u0438\u043b\u044f \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u043e\u0432 \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430 \u043d\u0430 \u043e\u0441\u043d\u043e\u0432\u0435 \u043a\u043e\u043b\u0438\u0447\u0435\u0441\u0442\u0432\u0430 \u0438\u0437\u0443\u0447\u0435\u043d\u043d\u044b\u0445 \u0447\u0430\u0441\u043e\u0432:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#fit the model<\/span>\nmodel = smf. <span style=\"color: #3366ff;\">quantreg<\/span> ('score~hours', df). <span style=\"color: #3366ff;\">fit<\/span> (q= <span style=\"color: #008000;\">0.9<\/span> )\n\n<span style=\"color: #008080;\">#view model summary\n<\/span><span style=\"color: #993300;\">print<\/span> ( <span style=\"color: #3366ff;\">model.summary<\/span> ())\n\n                         QuantReg Regression Results                          \n==================================================== ============================\nDept. Variable: Pseudo R-squared score: 0.6057\nModel: QuantReg Bandwidth: 3.822\nMethod: Least Squares Sparsity: 10.85\nDate: Tue, 29 Dec 2020 No. Observations: 100\nTime: 15:41:44 Df Residuals: 98\n                                        Model: 1\n==================================================== ============================\n                 coef std err t P&gt;|t| [0.025 0.975]\n-------------------------------------------------- ----------------------------\nIntercept 59.6104 0.748 79.702 0.000 58.126 61.095\nhours 2.8495 0.128 22.303 0.000 2.596 3.103\n==================================================== ============================<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">\u0418\u0437 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0430 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u043f\u0440\u0435\u0434\u043f\u043e\u043b\u0430\u0433\u0430\u0435\u043c\u043e\u0435 \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438:<\/span><\/p>\n<p> <span style=\"color: #000000;\">90-\u0439 \u043f\u0440\u043e\u0446\u0435\u043d\u0442\u0438\u043b\u044c \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430\u0446\u0438\u043e\u043d\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043b\u0430 = 59,6104 + 2,8495*(\u0447\u0430\u0441\u044b)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, 90-\u0439 \u043f\u0440\u043e\u0446\u0435\u043d\u0442\u0438\u043b\u044c \u0432\u0441\u0435\u0445 \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u043e\u0432, \u043e\u0431\u0443\u0447\u0430\u044e\u0449\u0438\u0445\u0441\u044f 8 \u0447\u0430\u0441\u043e\u0432, \u0434\u043e\u043b\u0436\u0435\u043d \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0442\u044c 82,4:<\/span><\/p>\n<p> <span style=\"color: #000000;\">90-\u0439 \u043f\u0440\u043e\u0446\u0435\u043d\u0442\u0438\u043b\u044c \u044d\u043a\u0437\u0430\u043c\u0435\u043d\u0430\u0446\u0438\u043e\u043d\u043d\u043e\u0433\u043e \u0431\u0430\u043b\u043b\u0430 = 59,6104 + 2,8495*(8) = <strong>82,4<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0412\u044b\u0445\u043e\u0434\u043d\u044b\u0435 \u0434\u0430\u043d\u043d\u044b\u0435 \u0442\u0430\u043a\u0436\u0435 \u043e\u0442\u043e\u0431\u0440\u0430\u0436\u0430\u044e\u0442 \u0432\u0435\u0440\u0445\u043d\u0438\u0439 \u0438 \u043d\u0438\u0436\u043d\u0438\u0439 \u0434\u043e\u0432\u0435\u0440\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043f\u0440\u0435\u0434\u0435\u043b\u044b \u0434\u043b\u044f \u0442\u043e\u0447\u043a\u0438 \u043f\u0435\u0440\u0435\u0441\u0435\u0447\u0435\u043d\u0438\u044f \u0438 \u0432\u0440\u0435\u043c\u0435\u043d\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439-\u043f\u0440\u0435\u0434\u0438\u043a\u0442\u043e\u0440\u0430.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u0428\u0430\u0433&nbsp;4. \u0412\u0438\u0437\u0443\u0430\u043b\u0438\u0437\u0438\u0440\u0443\u0439\u0442\u0435 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u041c\u044b \u0442\u0430\u043a\u0436\u0435 \u043c\u043e\u0436\u0435\u043c \u0432\u0438\u0437\u0443\u0430\u043b\u0438\u0437\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u044b \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u0441\u043e\u0437\u0434\u0430\u0432 \u0434\u0438\u0430\u0433\u0440\u0430\u043c\u043c\u0443 \u0440\u0430\u0441\u0441\u0435\u044f\u043d\u0438\u044f \u0441 \u043f\u043e\u0434\u043e\u0431\u0440\u0430\u043d\u043d\u044b\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435\u043c \u043a\u0432\u0430\u043d\u0442\u0438\u043b\u044c\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u043d\u0430\u043b\u043e\u0436\u0435\u043d\u043d\u044b\u043c \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#define figure and axis\n<\/span>fig, ax = plt.subplots(figsize=(8, 6))\n\n<span style=\"color: #008080;\">#get y values\n<\/span>get_y = <span style=\"color: #008000;\">lambda<\/span> a, b: a + b * hours\ny = get_y( <span style=\"color: #3366ff;\">model.params<\/span> [' <span style=\"color: #008000;\">Intercept<\/span> '], <span style=\"color: #3366ff;\">model.params<\/span> [' <span style=\"color: #008000;\">hours<\/span> '])\n\n<span style=\"color: #008080;\">#plot data points with quantile regression equation overlaid\n<\/span>ax. <span style=\"color: #3366ff;\">plot<\/span> (hours, y, color=' <span style=\"color: #008000;\">black<\/span> ')\nax. <span style=\"color: #3366ff;\">scatter<\/span> (hours, score, alpha=.3)\nax. <span style=\"color: #3366ff;\">set_xlabel<\/span> (' <span style=\"color: #008000;\">Hours Studied<\/span> ', fontsize=14)\nax. <span style=\"color: #3366ff;\">set_ylabel<\/span> (' <span style=\"color: #008000;\">Exam Score<\/span> ', fontsize=14)\n<\/strong><\/span><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12957 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quantregpython1.png\" alt=\"\u041a\u0432\u0430\u043d\u0442\u0438\u043b\u044c\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u0432 Python\" width=\"446\" height=\"335\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0412 \u043e\u0442\u043b\u0438\u0447\u0438\u0435 \u043e\u0442 \u043f\u0440\u043e\u0441\u0442\u043e\u0439 \u043b\u0438\u043d\u0438\u0438 \u043b\u0438\u043d\u0435\u0439\u043d\u043e\u0439 \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u0438, \u043e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435, \u0447\u0442\u043e \u044d\u0442\u0430 \u043f\u043e\u0434\u043e\u0431\u0440\u0430\u043d\u043d\u0430\u044f \u043b\u0438\u043d\u0438\u044f \u043d\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u0442 \u0441\u043e\u0431\u043e\u0439 \u00ab\u043b\u0438\u043d\u0438\u044e \u043d\u0430\u0438\u043b\u0443\u0447\u0448\u0435\u0433\u043e \u0441\u043e\u043e\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0438\u044f\u00bb \u0434\u0430\u043d\u043d\u044b\u043c. \u0412\u043c\u0435\u0441\u0442\u043e \u044d\u0442\u043e\u0433\u043e \u043e\u043d \u043f\u0440\u043e\u0445\u043e\u0434\u0438\u0442 \u0447\u0435\u0440\u0435\u0437 \u0440\u0430\u0441\u0447\u0435\u0442\u043d\u044b\u0439 90-\u0439 \u043f\u0440\u043e\u0446\u0435\u043d\u0442\u0438\u043b\u044c \u043d\u0430 \u043a\u0430\u0436\u0434\u043e\u043c \u0443\u0440\u043e\u0432\u043d\u0435 \u043f\u0440\u0435\u0434\u0438\u043a\u0442\u043e\u0440\u043d\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u0414\u043e\u043f\u043e\u043b\u043d\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0440\u0435\u0441\u0443\u0440\u0441\u044b<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/ru\/\u043f\u0440\u043e\u0441\u0442\u0430\u044f-\u043b\u0438\u043d\u0435\u0438\u043d\u0430\u044f-\u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f-\u0432-python\/\" target=\"_blank\" rel=\"noopener\">\u041a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043f\u0440\u043e\u0441\u0442\u0443\u044e \u043b\u0438\u043d\u0435\u0439\u043d\u0443\u044e \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044e \u0432 Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/ru\/\u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f-\u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f-python\/\" target=\"_blank\" rel=\"noopener\">\u041a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0443\u044e \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044e \u0432 Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u041b\u0438\u043d\u0435\u0439\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f \u2014 \u044d\u0442\u043e \u043c\u0435\u0442\u043e\u0434, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c, \u0447\u0442\u043e\u0431\u044b \u043f\u043e\u043d\u044f\u0442\u044c \u0432\u0437\u0430\u0438\u043c\u043e\u0441\u0432\u044f\u0437\u044c \u043c\u0435\u0436\u0434\u0443 \u043e\u0434\u043d\u043e\u0439 \u0438\u043b\u0438 \u043d\u0435\u0441\u043a\u043e\u043b\u044c\u043a\u0438\u043c\u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u044b\u043c\u0438-\u043f\u0440\u0435\u0434\u0438\u043a\u0442\u043e\u0440\u0430\u043c\u0438 \u0438 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043e\u0442\u043a\u043b\u0438\u043a\u0430 . \u041e\u0431\u044b\u0447\u043d\u043e, \u043a\u043e\u0433\u0434\u0430 \u043c\u044b \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u043c \u043b\u0438\u043d\u0435\u0439\u043d\u0443\u044e \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044e, \u043c\u044b \u0445\u043e\u0442\u0438\u043c \u043e\u0446\u0435\u043d\u0438\u0442\u044c \u0441\u0440\u0435\u0434\u043d\u0435\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 \u043e\u0442\u0432\u0435\u0442\u0430. \u041e\u0434\u043d\u0430\u043a\u043e \u0432\u043c\u0435\u0441\u0442\u043e \u044d\u0442\u043e\u0433\u043e \u043c\u044b \u043c\u043e\u0433\u043b\u0438 \u0431\u044b \u0438\u0441\u043f\u043e\u043b\u044c\u0437\u043e\u0432\u0430\u0442\u044c \u043c\u0435\u0442\u043e\u0434, \u0438\u0437\u0432\u0435\u0441\u0442\u043d\u044b\u0439 \u043a\u0430\u043a \u043a\u0432\u0430\u043d\u0442\u0438\u043b\u044c\u043d\u0430\u044f \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f , \u0434\u043b\u044f \u043e\u0446\u0435\u043d\u043a\u0438 \u043b\u044e\u0431\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043a\u0432\u0430\u043d\u0442\u0438\u043b\u044f \u0438\u043b\u0438 \u043f\u0440\u043e\u0446\u0435\u043d\u0442\u0438\u043b\u044f \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f [&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-1323","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>\u041a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043a\u0432\u0430\u043d\u0442\u0438\u043b\u044c\u043d\u0443\u044e \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044e \u0432 Python \u2014 Statorials<\/title>\n<meta name=\"description\" content=\"\u0412 \u044d\u0442\u043e\u043c \u0440\u0443\u043a\u043e\u0432\u043e\u0434\u0441\u0442\u0432\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u043a\u0430\u043a \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u043a\u0432\u0430\u043d\u0442\u0438\u043b\u044c\u043d\u0443\u044e \u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044e \u0432 Python, \u0432\u043a\u043b\u044e\u0447\u0430\u044f \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0439 \u043f\u0440\u0438\u043c\u0435\u0440.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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\u0432\u043a\u043b\u044e\u0447\u0430\u044f \u043f\u043e\u0448\u0430\u0433\u043e\u0432\u044b\u0439 \u043f\u0440\u0438\u043c\u0435\u0440.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/ru\/\u043a\u0432\u0430\u043d\u0442\u0438\u043b\u044c\u043d\u0430\u044f-\u0440\u0435\u0433\u0440\u0435\u0441\u0441\u0438\u044f-\u0432-python\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T21:04:15+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quantregpython1.png\" \/>\n<meta name=\"author\" content=\"\u0431\u0435\u043d\u0434\u0436\u0430\u043c\u0438\u043d \u0430\u043d\u0434\u0435\u0440\u0441\u043e\u043d\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u041d\u0430\u043f\u0438\u0441\u0430\u043d\u043e \u0430\u0432\u0442\u043e\u0440\u043e\u043c\" \/>\n\t<meta name=\"twitter:data1\" 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