{"id":706,"date":"2023-07-29T00:50:50","date_gmt":"2023-07-29T00:50:50","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%ad%d8%a7%d8%b3%d8%a8%d8%a9-%d8%a7%d9%84%d9%81%d8%a7%d8%b5%d9%84-%d8%a7%d9%84%d8%b2%d9%85%d9%86%d9%8a-%d9%84%d9%84%d8%aa%d9%86%d8%a8%d9%88%d9%94\/"},"modified":"2023-07-29T00:50:50","modified_gmt":"2023-07-29T00:50:50","slug":"%d8%ad%d8%a7%d8%b3%d8%a8%d8%a9-%d8%a7%d9%84%d9%81%d8%a7%d8%b5%d9%84-%d8%a7%d9%84%d8%b2%d9%85%d9%86%d9%8a-%d9%84%d9%84%d8%aa%d9%86%d8%a8%d9%88%d9%94","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%ad%d8%a7%d8%b3%d8%a8%d8%a9-%d8%a7%d9%84%d9%81%d8%a7%d8%b5%d9%84-%d8%a7%d9%84%d8%b2%d9%85%d9%86%d9%8a-%d9%84%d9%84%d8%aa%d9%86%d8%a8%d9%88%d9%94\/","title":{"rendered":"\u062d\u0627\u0633\u0628\u0629 \u0627\u0644\u0641\u0627\u0635\u0644 \u0627\u0644\u0632\u0645\u0646\u064a \u0644\u0644\u062a\u0646\u0628\u0624"},"content":{"rendered":"<p style=\";text-align:right;direction:rtl\"><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 label, input {\n    display: inline-block;\n    vertical-align: baseline;\n    width: 350px;\n}<\/p>\n<p>    #button {\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>    #button: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\" style=\";text-align:right;direction:rtl\">\n<p style=\"text-align: left;text-align:right;direction:rtl\">\u062a\u0642\u0648\u0645 \u0647\u0630\u0647 \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0628\u0625\u0646\u0634\u0627\u0621 \u0641\u0627\u0635\u0644 \u0632\u0645\u0646\u064a \u0644\u0644\u062a\u0646\u0628\u0624 \u0628\u0642\u064a\u0645\u0629 \u0645\u0639\u064a\u0646\u0629 \u0641\u064a \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631.<\/p>\n<p style=\"text-align: left;text-align:right;direction:rtl\"> \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u0625\u062f\u062e\u0627\u0644 \u0642\u0627\u0626\u0645\u0629 \u0627\u0644\u0642\u064a\u0645 \u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u062a\u0648\u0642\u0639\u060c \u0648\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629\u060c \u0648\u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0641\u0631\u062f\u064a\u0629 \u0627\u0644\u062a\u064a \u0633\u064a\u062a\u0645 \u0625\u0646\u0634\u0627\u0621 \u0641\u062a\u0631\u0629 \u062a\u0646\u0628\u0624 \u0644\u0647\u0627 \u0648\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062b\u0642\u0629\u060c \u062b\u0645 \u0627\u0646\u0642\u0631 \u0641\u0648\u0642 \u0627\u0644\u0632\u0631 &#8220;\u062d\u0633\u0627\u0628&#8221;:<\/p>\n<\/div>\n<p style=\"text-align: center;text-align:right;direction:rtl\"> <b>\u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u0646\u0628\u0624\u064a\u0629:<\/b><\/p>\n<div id=\"words_table\" style=\";text-align:right;direction:rtl\"><textarea id=\"x\" rows=\"5\" cols=\"40\"> 3, 5, 2, 4, 4, 1, 5, 4, 6, 2, 2, 3, 1, 2, 3<\/textarea><\/div>\n<p style=\"text-align: center;text-align:right;direction:rtl\"> <b>\u0642\u064a\u0645 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629:<\/b><\/p>\n<div id=\"words_table\" style=\";text-align:right;direction:rtl\"><textarea id=\"y\" rows=\"5\" cols=\"40\"> 80\u060c 94\u060c 81\u060c 87\u060c 86\u060c 67\u060c 90\u060c 91\u060c 95\u060c 77\u060c 74\u060c 81\u060c 66\u060c 75\u060c 79<\/textarea><\/div>\n<p style=\"text-align: center;text-align:right;direction:rtl\"> <b>\u0642\u064a\u0645\u0629 X \u0644\u0644\u062a\u0646\u0628\u0624:<\/b> <\/p>\n<div id=\"words_table\" style=\";text-align:right;direction:rtl\"><input type=\"number\" id=\"xpred\" value=\"3\"><\/div>\n<p style=\"text-align: center;text-align:right;direction:rtl\"><b>\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062b\u0642\u0629:<\/b> <\/p>\n<div id=\"words_table\" style=\";text-align:right;direction:rtl\"><input type=\"number\" id=\"CI\" value=\"0.95\" min=\"0\" max=\"1\"><\/div>\n<div id=\"words_table\" style=\";text-align:right;direction:rtl\"><input type=\"button\" id=\"button\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div id=\"words_table\" style=\";text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\"> \u0641\u062a\u0631\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 <span id=\"CI_out\">90<\/span> %: <b>( <span id=\"lowCI\">74.643<\/span> , <span id=\"highCI\">86.903<\/span> )<\/b><\/p>\n<\/div>\n<div id=\"words_table\" style=\";text-align:right;direction:rtl\">\n<p style=\"text-align: center;text-align:right;direction:rtl\"><span id=\"error_msg\"><\/span><\/p>\n<\/div>\n<p style=\";text-align:right;direction:rtl\"><script><\/p>\n<p>function 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);\nvar xpred = +document.getElementById('xpred').value;\nvar CI = +document.getElementById('CI').value;<\/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\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        lr['r2'] = Math.pow((n*sum_xy - sum_x*sum_y)\/Math.sqrt((n*sum_xx-sum_x*sum_x)*(n*sum_yy-sum_y*sum_y)),2);\n        lr['sum_y'] = sum_y;\n        lr['sum_xx'] = sum_xx;\n\n        return lr;\n}\n\n\/\/create regression variables\nvar lr = linearRegression(y, x);\nvar a = lr.slope;\nvar b = lr.intercept;\nvar r2 = lr.r2;\nvar r2p = r2*100;\nvar sxx = lr.sum_xx;\n\n\/\/create sse variable\nvar my = lr.sum_y \/ y.length;\nlet sst = 0;\nfor (let i = 0; i < y.length; i++) {\n       sst += Math.pow((y[i] - my), 2);\n    }\n\nvar CI_out = CI*100\nvar sse = sst - r2*sst;\nvar n = y.length;\nvar var2 = sse\/(n-2);\nvar xbar = math.mean(x);\nvar ypred = b - (-1*a*xpred);\nvar df = n-2;\nvar tcrit = -1*jStat.studentt.inv((1-CI)\/2, df);\n\n\/\/calculate lower and upper bounds of prediction interval\nvar lowCI = ypred-tcrit*Math.sqrt(var2*(1-(-1*(1\/n))-(-1*Math.pow(xpred-xbar,2)\/sxx)));\n\nvar highCI = ypred-(-1*(tcrit*Math.sqrt(var2*(1-(-1*(1\/n))-(-1*Math.pow(xpred-xbar,2)\/sxx)))));\n\n\/\/output results\ndocument.getElementById('lowCI').innerHTML = lowCI.toFixed(3);\ndocument.getElementById('highCI').innerHTML = highCI.toFixed(3);\ndocument.getElementById('CI_out').innerHTML = CI_out.toFixed(0);\n}\n\n\/\/output error message if boths lists are not equal\nelse {\ndocument.getElementById('error_msg').innerHTML = 'The two lists must be of equal length.';\n}\n\t  \n} \/\/end calc function\n<\/script><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u062a\u0642\u0648\u0645 \u0647\u0630\u0647 \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0628\u0625\u0646\u0634\u0627\u0621 \u0641\u0627\u0635\u0644 \u0632\u0645\u0646\u064a \u0644\u0644\u062a\u0646\u0628\u0624 \u0628\u0642\u064a\u0645\u0629 \u0645\u0639\u064a\u0646\u0629 \u0641\u064a \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631. \u0645\u0627 \u0639\u0644\u064a\u0643 \u0633\u0648\u0649 \u0625\u062f\u062e\u0627\u0644 \u0642\u0627\u0626\u0645\u0629 \u0627\u0644\u0642\u064a\u0645 \u0644\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u062a\u0648\u0642\u0639\u060c \u0648\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629\u060c \u0648\u0627\u0644\u0642\u064a\u0645\u0629 \u0627\u0644\u0641\u0631\u062f\u064a\u0629 \u0627\u0644\u062a\u064a \u0633\u064a\u062a\u0645 \u0625\u0646\u0634\u0627\u0621 \u0641\u062a\u0631\u0629 \u062a\u0646\u0628\u0624 \u0644\u0647\u0627 \u0648\u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u062b\u0642\u0629\u060c \u062b\u0645 \u0627\u0646\u0642\u0631 \u0641\u0648\u0642 \u0627\u0644\u0632\u0631 &#8220;\u062d\u0633\u0627\u0628&#8221;: \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u062a\u0646\u0628\u0624\u064a\u0629: 3, 5, 2, 4, 4, 1, 5, 4, 6, 2, 2, 3, 1, 2, 3 [&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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u062d\u0627\u0633\u0628\u0629 \u0627\u0644\u0641\u0627\u0635\u0644 \u0627\u0644\u0632\u0645\u0646\u064a \u0644\u0644\u062a\u0646\u0628\u0624 - \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a<\/title>\n<meta name=\"description\" content=\"\u062a\u0642\u0648\u0645 \u0647\u0630\u0647 \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0628\u0625\u0646\u0634\u0627\u0621 \u0641\u062a\u0631\u0629 \u062a\u0646\u0628\u0624 \u0644\u0642\u064a\u0645\u0629 \u0645\u0639\u064a\u0646\u0629 \u0641\u064a \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a.\" \/>\n<meta name=\"robots\" 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