{"id":1292,"date":"2023-07-26T23:55:31","date_gmt":"2023-07-26T23:55:31","guid":{"rendered":"https:\/\/statorials.org\/hi\/%e0%a4%85%e0%a4%b5%e0%a4%b6%e0%a5%87%e0%a4%b7-%e0%a4%95%e0%a5%88%e0%a4%b2%e0%a4%95%e0%a5%81%e0%a4%b2%e0%a5%87%e0%a4%9f%e0%a4%b0\/"},"modified":"2023-07-26T23:55:31","modified_gmt":"2023-07-26T23:55:31","slug":"%e0%a4%85%e0%a4%b5%e0%a4%b6%e0%a5%87%e0%a4%b7-%e0%a4%95%e0%a5%88%e0%a4%b2%e0%a4%95%e0%a5%81%e0%a4%b2%e0%a5%87%e0%a4%9f%e0%a4%b0","status":"publish","type":"post","link":"https:\/\/statorials.org\/hi\/%e0%a4%85%e0%a4%b5%e0%a4%b6%e0%a5%87%e0%a4%b7-%e0%a4%95%e0%a5%88%e0%a4%b2%e0%a4%95%e0%a5%81%e0%a4%b2%e0%a5%87%e0%a4%9f%e0%a4%b0\/","title":{"rendered":"\u0905\u0935\u0936\u0947\u0937 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930"},"content":{"rendered":"<p><script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjs\/5.1.1\/math.js\"><\/script><script src=\"https:\/\/cdn.jsdelivr.net\/npm\/jstat@latest\/dist\/jstat.min.js\"><\/script><\/p>\n<style>\n@import url('https:\/\/fonts.googleapis.com\/css?family=Droid+Serif|Raleway');<\/p>\n<p>h1 {\ntext-align: center;\nfont-size: 50px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', serif;\n}<\/p>\n<p>p {\ncolor: black;\nmargin-bottom: 15px;\nmargin-top: 15px;\nfont-family: 'Raleway', sans-serif;\n}<\/p>\n<p>#words {\npadding-left: 30px;\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#words_summary {\npadding-left: 70px;\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#words_text {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#words_text_area {\ndisplay:inline-block;\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 100px;\n}<\/p>\n<p>#calcTitle {\ntext-align: center;\nfont-size: 20px;\nmargin-bottom: 0px;\nfont-family: 'Raleway', serif;\n}<\/p>\n<p>#hr_top {\nwidth: 30%;\nmargin-bottom: 0px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>#hr_bottom {\nwidth: 30%;\nmargin-top: 15px;\nborder: none;\nheight: 2px;\ncolor: black;\nbackground-color: black;\n}<\/p>\n<p>#words_table label, #words_table input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #buttonCalc {\n      border: 1px solid;\n      border-radius: 10px;\n      margin-top: 20px;<\/p>\n<p>      cursor: pointer;\n      outline: none;\n      background-color: white;\n      color: black;\n      font-family: 'Work Sans', sans-serif;\n      border: 1px solid grey;\n      \/* Green *\/\n    }<\/p>\n<p>    #buttonCalc:hover {\n      background-color: #f6f6f6;\n      border: 1px solid black;\n    }<\/p>\n<p>\t#words_table {\ncolor: black;\nfont-family: Raleway;\nmax-width: 350px;\nmargin: 25px auto;\nline-height: 1.75;\n}<\/p>\n<p>#summary_table {\ncolor: black;\nfont-family: Raleway;\nmax-width: 550px;\nmargin: 25px auto;\nline-height: 1.75;\npadding-left: 20px;\n}<\/p>\n<p>\t.label_radio {\n\ttext-align: center;\n    }<\/p>\n<p>td, tr, th {\n    border: 1px solid black;\n}\ntable {\n    border-collapse: collapse;\n}\ntd, th {\n    min-width: 50px;\n    height: 21px;\n}\n    .label_radio {\n\ttext-align: center;\n}<\/p>\n<p>#text_area_input {\n\tpadding-left: 35%;\n\tfloat: left;\n}<\/p>\n<p>svg:not(:root) {\n  overflow: visible;\n}<\/p>\n<\/style>\n<div id=\"words\">\n<p style=\"text-align: left\"><b>\u0905\u0935\u0936\u093f\u0937\u094d\u091f<\/b> \u090f\u0915 \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u092e\u0949\u0921\u0932 \u092e\u0947\u0902 \u0926\u0947\u0916\u0947 \u0917\u090f \u092e\u0942\u0932\u094d\u092f \u0914\u0930 \u0905\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u092e\u0942\u0932\u094d\u092f \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0905\u0902\u0924\u0930 \u0939\u0948\u0964 \u0907\u0938\u0915\u0940 \u0917\u0923\u0928\u093e \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948:<\/p>\n<p style=\"text-align: left\"> \u0905\u0935\u0936\u093f\u0937\u094d\u091f = \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u093f\u0924 \u092e\u0942\u0932\u094d\u092f &#8211; \u0905\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u092e\u0942\u0932\u094d\u092f<\/p>\n<p style=\"text-align: left\"> \u092f\u0939 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u090f\u0915 \u0938\u0930\u0932 \u0930\u0948\u0916\u093f\u0915 \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u092e\u0949\u0921\u0932 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0935\u0932\u094b\u0915\u0928 \u0915\u0947 \u0905\u0935\u0936\u0947\u0937\u094b\u0902 \u0915\u094b \u0922\u0942\u0902\u0922\u0924\u093e \u0939\u0948\u0964<\/p>\n<p style=\"text-align: left\"> \u092c\u0938 \u0928\u0940\u091a\u0947 \u0926\u093f\u090f \u0917\u090f \u092c\u0915\u094d\u0938\u094b\u0902 \u092e\u0947\u0902 \u090f\u0915 \u092d\u0935\u093f\u0937\u094d\u092f\u0935\u0915\u094d\u0924\u093e \u091a\u0930 \u0914\u0930 \u090f\u0915 \u092a\u094d\u0930\u0924\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u091a\u0930 \u0915\u0947 \u0932\u093f\u090f \u092e\u0942\u0932\u094d\u092f\u094b\u0902 \u0915\u0940 \u090f\u0915 \u0938\u0942\u091a\u0940 \u0926\u0930\u094d\u091c \u0915\u0930\u0947\u0902, \u092b\u093f\u0930 &#8220;\u0917\u0923\u0928\u093e \u0915\u0930\u0947\u0902&#8221; \u092c\u091f\u0928 \u092a\u0930 \u0915\u094d\u0932\u093f\u0915 \u0915\u0930\u0947\u0902:<\/p>\n<\/div>\n<p style=\"text-align: center\"> <b>\u092a\u0942\u0930\u094d\u0935\u093e\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u092e\u093e\u0928:<\/b><\/p>\n<div id=\"words_table\"><textarea id=\"x\" rows=\"5\" cols=\"40\"> 1, 3, 3, 5, 7, 13, 15, 19<\/textarea><\/div>\n<p style=\"text-align: center\"> <b>\u092a\u094d\u0930\u0924\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u092e\u093e\u0928:<\/b><\/p>\n<div id=\"words_table\"><textarea id=\"y\" rows=\"5\" cols=\"40\"> 7, 7, 12, 13, 18, 24, 29, 33 <\/textarea><\/div>\n<div id=\"words_table\"><input type=\"button\" id=\"buttonCalc\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div id=\"words_table\">\n<p> <b>\u0930\u0948\u0916\u093f\u0915 \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u0938\u092e\u0940\u0915\u0930\u0923:<\/b><\/p>\n<\/div>\n<div id=\"words_table\">\n<p> \u0177 = <span id=\"b\">5.6631<\/span> + ( <span id=\"a\">1.4802<\/span> )*x<\/p>\n<\/div>\n<div id=\"words_table\">\n<p> <b>\u0905\u0935\u0936\u0947\u0937\u094b\u0902 \u0915\u0940 \u0938\u0942\u091a\u0940:<\/b><\/p>\n<\/div>\n<div id=\"words_table\">\n<p style=\"text-align: left\"> <span id=\"resids_out\">-0.143<br \/> -3.104<br \/> 1,896<br \/> -0.064<br \/> 1.975<br \/> -0.906<br \/> 1.133<br \/> -0.787<\/span><\/p>\n<\/div>\n<div id=\"words_table\">\n<p style=\"text-align: center\"><span id=\"error_msg\"><\/span><\/p>\n<\/div>\n<p><script>\nfunction calc() {<\/p>\n<p>\/\/get input data\nvar x = document.getElementById('x').value.split(',').map(Number);\nvar y = document.getElementById('y').value.split(',').map(Number);<\/p>\n<p>\/\/check that both lists are equal length\nif (x.length - y.length == 0) {\ndocument.getElementById('error_msg').innerHTML = '';<\/p>\n<p>function linearRegression(y,x){\n        var lr = {};\n        var n = y.length;\n        var sum_x = 0;\n        var sum_y = 0;\n        var sum_xy = 0;\n        var sum_xx = 0;\n        var sum_yy = 0;<\/p>\n<p>        for (var i = 0; i < y.length; i++) {\n            sum_x += x[i];\n            sum_y += y[i];\n            sum_xy += (x[i]*y[i]);\n            sum_xx += (x[i]*x[i]);\n            sum_yy += (y[i]*y[i]);\n        } \n\n        lr['slope'] = (n * sum_xy - sum_x * sum_y) \/ (n*sum_xx - sum_x * sum_x);\n        lr['intercept'] = (sum_y - lr.slope * sum_x)\/n;\n        return lr;\n}\n\nvar lr = linearRegression(y, x);\nvar a = lr.slope;\nvar b = lr.intercept;\n\n\/\/calculate residuals\nresiduals = [];\n\nfor (var obs = 0; obs < y.length; obs++) {\nthis_resid = (y[obs] - (b - (-1*a*x[obs]))).toFixed(3);\nresiduals.push(this_resid);\n}\n\ndocument.getElementById('a').innerHTML = a.toFixed(4);\ndocument.getElementById('b').innerHTML = b.toFixed(4);\ndocument.getElementById('resids_out').innerHTML = residuals.toString().split(',').join(\"<br \/>\");\n}<\/p>\n<p>\/\/output error message if both lists are not equal\nelse {\ndocument.getElementById('error_msg').innerHTML = 'The two lists must be of equal length.';\n}<\/p>\n<p>} \/\/end calc function\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0905\u0935\u0936\u093f\u0937\u094d\u091f \u090f\u0915 \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u092e\u0949\u0921\u0932 \u092e\u0947\u0902 \u0926\u0947\u0916\u0947 \u0917\u090f \u092e\u0942\u0932\u094d\u092f \u0914\u0930 \u0905\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u092e\u0942\u0932\u094d\u092f \u0915\u0947 \u092c\u0940\u091a \u0915\u093e \u0905\u0902\u0924\u0930 \u0939\u0948\u0964 \u0907\u0938\u0915\u0940 \u0917\u0923\u0928\u093e \u0907\u0938 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0940 \u091c\u093e\u0924\u0940 \u0939\u0948: \u0905\u0935\u0936\u093f\u0937\u094d\u091f = \u092a\u094d\u0930\u0947\u0915\u094d\u0937\u093f\u0924 \u092e\u0942\u0932\u094d\u092f &#8211; \u0905\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u092e\u0942\u0932\u094d\u092f \u092f\u0939 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u090f\u0915 \u0938\u0930\u0932 \u0930\u0948\u0916\u093f\u0915 \u092a\u094d\u0930\u0924\u093f\u0917\u092e\u0928 \u092e\u0949\u0921\u0932 \u092e\u0947\u0902 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0935\u0932\u094b\u0915\u0928 \u0915\u0947 \u0905\u0935\u0936\u0947\u0937\u094b\u0902 \u0915\u094b \u0922\u0942\u0902\u0922\u0924\u093e \u0939\u0948\u0964 \u092c\u0938 \u0928\u0940\u091a\u0947 \u0926\u093f\u090f \u0917\u090f \u092c\u0915\u094d\u0938\u094b\u0902 \u092e\u0947\u0902 \u090f\u0915 \u092d\u0935\u093f\u0937\u094d\u092f\u0935\u0915\u094d\u0924\u093e \u091a\u0930 \u0914\u0930 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-1292","post","type-post","status-publish","format-standard","hentry","category-3"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u0905\u0935\u0936\u0947\u0937 \u0915\u0948\u0932\u0915\u094d\u092f\u0942\u0932\u0947\u091f\u0930 - \u0938\u093e\u0902\u0916\u094d\u092f\u093f\u0915\u0940<\/title>\n<meta name=\"description\" content=\"\u092f\u0939 \u0915\u0948\u0932\u0915\u0941\u0932\u0947\u091f\u0930 \u0915\u093f\u0938\u0940 \u0926\u093f\u090f \u0917\u090f 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