{"id":1308,"date":"2023-07-26T22:25:12","date_gmt":"2023-07-26T22:25:12","guid":{"rendered":"https:\/\/statorials.org\/ar\/%d8%ad%d8%a7%d8%b3%d8%a8%d8%a9-%d8%a8%d9%82%d8%a7%d9%8a%d8%a7-%d8%aa%d8%b7%d8%a8%d9%8a%d8%b9\/"},"modified":"2023-07-26T22:25:12","modified_gmt":"2023-07-26T22:25:12","slug":"%d8%ad%d8%a7%d8%b3%d8%a8%d8%a9-%d8%a8%d9%82%d8%a7%d9%8a%d8%a7-%d8%aa%d8%b7%d8%a8%d9%8a%d8%b9","status":"publish","type":"post","link":"https:\/\/statorials.org\/ar\/%d8%ad%d8%a7%d8%b3%d8%a8%d8%a9-%d8%a8%d9%82%d8%a7%d9%8a%d8%a7-%d8%aa%d8%b7%d8%a8%d9%8a%d8%b9\/","title":{"rendered":"\u062d\u0627\u0633\u0628\u0629 \u0628\u0642\u0627\u064a\u0627 \u0645\u0648\u062d\u062f\u0629"},"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_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\" style=\";text-align:right;direction:rtl\">\n<p style=\"text-align: left;text-align:right;direction:rtl\"><b><a href=\"https:\/\/statorials.org\/ar\/\u0628\u0642\u0627\u064a\u0627-\u0645\u0648\u062d\u062f\u0629\/\" target=\"_blank\" rel=\"noopener\">\u0627\u0644\u0645\u062a\u0628\u0642\u064a \u0627\u0644\u0645\u0648\u062d\u062f<\/a><\/b> \u0647\u0648 \u0627\u0644\u0645\u062a\u0628\u0642\u064a \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0627\u0646\u062d\u0631\u0627\u0641\u0647 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a. \u064a\u062a\u0645 \u062d\u0633\u0627\u0628\u0647 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a:<\/p>\n<p style=\"text-align: left;text-align:right;direction:rtl\"> <strong>\u0635 <sub>\u0623\u0646\u0627<\/sub> = \u0647 <sub>\u0623\u0646\u0627<\/sub> \/ RSE\u221a <span style=\"border-top: 1px solid black;\">1-\u062d <sub>\u062b\u0627\u0646\u064a\u0627<\/sub><\/span><\/strong><\/p>\n<p style=\"text-align: left;text-align:right;direction:rtl\"> \u0630\u0647\u0628:<\/p>\n<ul style=\";text-align:right;direction:rtl\">\n<li style=\";text-align:right;direction:rtl\"> e <sub>i<\/sub> : <sup>\u0627\u0644\u0628\u0642\u0627\u064a\u0627<\/sup> i<\/li>\n<li style=\";text-align:right;direction:rtl\"> RSE: \u0627\u0644\u062e\u0637\u0623 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a \u0627\u0644\u0645\u062a\u0628\u0642\u064a \u0644\u0644\u0646\u0645\u0648\u0630\u062c<\/li>\n<li style=\";text-align:right;direction:rtl\"> \u0627\u0644\u062d <sub>\u0627\u0644\u062b\u0627\u0646\u064a\u0629<\/sub> : \u0637\u0644\u0648\u0639 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0629 <sup>\u0627\u0644\u062b\u0627\u0645\u0646\u0629<\/sup><\/li>\n<\/ul>\n<p style=\"text-align: left;text-align:right;direction:rtl\"> \u062a\u062c\u062f \u0647\u0630\u0647 \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u0628\u0642\u064a\u0629 \u0627\u0644\u0642\u064a\u0627\u0633\u064a\u0629 \u0644\u0643\u0644 \u0645\u0644\u0627\u062d\u0638\u0629 \u0641\u064a \u0646\u0645\u0648\u0630\u062c \u0627\u0646\u062d\u062f\u0627\u0631 \u062e\u0637\u064a \u0628\u0633\u064a\u0637.<\/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 \u0648\u0645\u062a\u063a\u064a\u0631 \u0627\u0644\u0627\u0633\u062a\u062c\u0627\u0628\u0629 \u0641\u064a \u0627\u0644\u0645\u0631\u0628\u0639\u0627\u062a \u0623\u062f\u0646\u0627\u0647\u060c \u062b\u0645 \u0627\u0644\u0646\u0642\u0631 \u0641\u0648\u0642 \u0627\u0644\u0632\u0631 &#8220;\u0627\u062d\u0633\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\"> 8\u060c 12\u060c 12\u060c 13\u060c 14\u060c 16\u060c 17\u060c 22\u060c 24\u060c 26\u060c 29\u060c 30<\/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\"> 41\u060c 42\u060c 39\u060c 37\u060c 35\u060c 39\u060c 45\u060c 46\u060c 39\u060c 49\u060c 55\u060c 57 <\/textarea><\/div>\n<div id=\"words_table\" style=\";text-align:right;direction:rtl\"><input type=\"button\" id=\"buttonCalc\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div id=\"words_table\" style=\";text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\"> <b>\u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0627\u0646\u062d\u062f\u0627\u0631 \u0627\u0644\u062e\u0637\u064a:<\/b><\/p>\n<\/div>\n<div id=\"words_table\" style=\";text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\"> \u0177 = <span id=\"b\">29.6309<\/span> + ( <span id=\"a\">0.7553<\/span> )*\u0633<\/p>\n<\/div>\n<div id=\"words_table\" style=\";text-align:right;direction:rtl\">\n<p style=\";text-align:right;direction:rtl\"> <b>\u0642\u0627\u0626\u0645\u0629 \u0627\u0644\u0645\u062e\u0644\u0641\u0627\u062a \u0645\u0648\u062d\u062f\u0629:<\/b><\/p>\n<\/div>\n<div id=\"words_table\" style=\";text-align:right;direction:rtl\">\n<p style=\"text-align: left;text-align:right;direction:rtl\"> <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\" 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>\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\n\/\/calculate leverage\nlev_n = x.length;\nlev_mean = math.mean(x);\nlev_ss = 0;\n\n for (var i = 0; i < x.length; i++) {\n   lev_ss += (x[i]-lev_mean)*(x[i]-lev_mean);\n} \n\nleverages = [];\nfor (var j = 0; j < x.length; j++) {\nthis_leverage = 1\/lev_n-(-1*(Math.pow(x[j] -lev_mean, 2)))\/lev_ss;\nleverages.push(this_leverage);\n}\n\n\/\/calculate RSE\nvar xbar = math.mean(x);\nvar ybar = math.mean(y);\n\nlet xbar2_hold = 0\n\tfor (let i = 0; i < x.length; i++) {\n\t\txbar2_hold += Math.pow(x[i], 2);\n\t}\n\nvar xbar2 = xbar2_hold \/ x.length;\n\nlet sxx = 0\n\tfor (let i = 0; i < x.length; i++) {\n\t\tsxx += Math.pow(x[i] - xbar, 2);\n\t}\n\nlet syy = 0\n\tfor (let i = 0; i < y.length; i++) {\n\t\tsyy += Math.pow(y[i] - ybar, 2);\n\t}\n\nlet sxy = 0\n\tfor (let i = 0; i < x.length; i++) {\n\t\tsxy += (x[i] - xbar)*(y[i]-ybar);\n\t}\n\nlet sxx2 = 0\n\tfor (let i = 0; i < x.length; i++) {\n\t\tsxx2 += (x[i] - xbar)*(Math.pow(x[i], 2)-xbar2);\n\t}\n\nlet sx2x2 = 0\n\tfor (let i = 0; i < x.length; i++) {\n\t\tsx2x2 += Math.pow((Math.pow(x[i], 2)-xbar2), 2);\n\t}\n\nlet sx2y = 0\n\tfor (let i = 0; i < x.length; i++) {\n\t\tsx2y += (Math.pow(x[i], 2)-xbar2)*(y[i]-ybar);\n\t}\n\nvar sst = syy;\nvar ssr = (sxy\/sxx)*sxy;\nvar sse = sst-ssr;\n\nvar RSE = Math.sqrt(sse \/ (x.length - 2));\n\n\/\/calculate standardized residuals\nstand_resids = [];\nfor (var k = 0; k < x.length; k++) {\nthis_sr = (residuals[k]\/(RSE*Math.sqrt(1-leverages[k]))).toFixed(4);\nstand_resids.push(this_sr);\n}\n\n\/\/output results\ndocument.getElementById('a').innerHTML = a.toFixed(4);\ndocument.getElementById('b').innerHTML = b.toFixed(4);\ndocument.getElementById('resids_out').innerHTML = stand_resids.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>\u0627\u0644\u0645\u062a\u0628\u0642\u064a \u0627\u0644\u0645\u0648\u062d\u062f \u0647\u0648 \u0627\u0644\u0645\u062a\u0628\u0642\u064a \u0645\u0642\u0633\u0648\u0645\u064b\u0627 \u0639\u0644\u0649 \u0627\u0646\u062d\u0631\u0627\u0641\u0647 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a. \u064a\u062a\u0645 \u062d\u0633\u0627\u0628\u0647 \u0639\u0644\u0649 \u0627\u0644\u0646\u062d\u0648 \u0627\u0644\u062a\u0627\u0644\u064a: \u0635 \u0623\u0646\u0627 = \u0647 \u0623\u0646\u0627 \/ RSE\u221a 1-\u062d \u062b\u0627\u0646\u064a\u0627 \u0630\u0647\u0628: e i : \u0627\u0644\u0628\u0642\u0627\u064a\u0627 i RSE: \u0627\u0644\u062e\u0637\u0623 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a \u0627\u0644\u0645\u062a\u0628\u0642\u064a \u0644\u0644\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u062d \u0627\u0644\u062b\u0627\u0646\u064a\u0629 : \u0637\u0644\u0648\u0639 \u0627\u0644\u0645\u0644\u0627\u062d\u0638\u0629 \u0627\u0644\u062b\u0627\u0645\u0646\u0629 \u062a\u062c\u062f \u0647\u0630\u0647 \u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0645\u062a\u0628\u0642\u064a\u0629 \u0627\u0644\u0642\u064a\u0627\u0633\u064a\u0629 \u0644\u0643\u0644 \u0645\u0644\u0627\u062d\u0638\u0629 \u0641\u064a \u0646\u0645\u0648\u0630\u062c \u0627\u0646\u062d\u062f\u0627\u0631 \u062e\u0637\u064a \u0628\u0633\u064a\u0637. \u0645\u0627 \u0639\u0644\u064a\u0643 [&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>\u0627\u0644\u0622\u0644\u0629 \u0627\u0644\u062d\u0627\u0633\u0628\u0629 \u0627\u0644\u0645\u062a\u0628\u0642\u064a\u0629 \u0627\u0644\u0645\u0648\u062d\u062f\u0629 - \u0627\u0644\u0625\u062d\u0635\u0627\u0626\u064a\u0627\u062a<\/title>\n<meta name=\"description\" content=\"\u062a\u062c\u062f \u0647\u0630\u0647 \u0627\u0644\u0622\u0644\u0629 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