{"id":694,"date":"2023-07-29T01:50:03","date_gmt":"2023-07-29T01:50:03","guid":{"rendered":"https:\/\/statorials.org\/my\/%e1%80%9c%e1%80%b1%e1%80%b8%e1%80%91%e1%80%b1%e1%80%ac%e1%80%84%e1%80%b7%e1%80%ba%e1%80%86%e1%80%af%e1%80%90%e1%80%ba%e1%80%9a%e1%80%af%e1%80%90%e1%80%ba%e1%80%82%e1%80%8f%e1%80%94%e1%80%ba%e1%80%b8\/"},"modified":"2023-07-29T01:50:03","modified_gmt":"2023-07-29T01:50:03","slug":"%e1%80%9c%e1%80%b1%e1%80%b8%e1%80%91%e1%80%b1%e1%80%ac%e1%80%84%e1%80%b7%e1%80%ba%e1%80%86%e1%80%af%e1%80%90%e1%80%ba%e1%80%9a%e1%80%af%e1%80%90%e1%80%ba%e1%80%82%e1%80%8f%e1%80%94%e1%80%ba%e1%80%b8","status":"publish","type":"post","link":"https:\/\/statorials.org\/my\/%e1%80%9c%e1%80%b1%e1%80%b8%e1%80%91%e1%80%b1%e1%80%ac%e1%80%84%e1%80%b7%e1%80%ba%e1%80%86%e1%80%af%e1%80%90%e1%80%ba%e1%80%9a%e1%80%af%e1%80%90%e1%80%ba%e1%80%82%e1%80%8f%e1%80%94%e1%80%ba%e1%80%b8\/","title":{"rendered":"Quadratic regression \u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a"},"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\">\u1024\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\u101e\u100a\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1021\u1015\u1031\u102b\u103a \u1021\u1001\u103c\u1031\u1001\u1036\u104d \u101c\u1031\u1038\u1015\u102f\u1036\u1010\u1005\u103a\u1015\u102f\u1036 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f \u1011\u102f\u1010\u103a\u101c\u102f\u1015\u103a\u101e\u100a\u103a\u104b<\/p>\n<p style=\"text-align: left\"> \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1000\u103d\u1000\u103a\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1005\u102c\u101b\u1004\u103a\u1038\u1000\u102d\u102f \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u1005\u103d\u102c\u1011\u100a\u1037\u103a\u1015\u102b\u104a \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a &#8220; \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a&#8221;  \u1001\u101c\u102f\u1010\u103a\u1000\u102d\u102f \u1014\u103e\u102d\u1015\u103a\u1015\u102b\u104b<\/p>\n<\/div>\n<p style=\"text-align: center\"> <b>\u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038-<\/b><\/p>\n<div id=\"words_table\"><textarea id=\"x\" rows=\"5\" cols=\"40\"> 6\u104a 7\u104a 7\u104a 8\u104a 12\u104a 14\u104a 15\u104a 16\u104a 16\u104a 19<\/textarea><\/div>\n<p style=\"text-align: center\"> <b>\u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038-<\/b><\/p>\n<div id=\"words_table\"><textarea id=\"y\" rows=\"5\" cols=\"40\"> \u1041\u1044\u104a \u1041\u1045\u104a \u1041\u1045\u104a \u1041\u1047\u104a \u1041\u1048\u104a \u1041\u1048\u104a \u1041\u1046\u104a \u1041\u1044\u104a \u1041\u1041\u104a \u1048\u104a <\/textarea><\/div>\n<div id=\"words_table\"><input type=\"button\" id=\"buttonCalc\" onclick=\"calc()\" value=\"Calculate\"><\/div>\n<div id=\"words_table\">\n<p style=\"text-align: center\"> <b>Quadratic regression \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038-<\/b><\/p>\n<\/div>\n<div id=\"words_table\">\n<p style=\"text-align: center\"> <b>\u0177 = <span id=\"a\">-2.5475<\/span> + ( <span id=\"b\">3.7516<\/span> )x + ( <span id=\"c\">-0.1704<\/span> ) <sup>x2<\/sup><\/b><\/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><\/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);<\/p>\n<p>\/\/check that both lists are equal length\nif (x.length - y.length == 0) {\ndocument.getElementById('error_msg').innerHTML = '';<\/p>\n<p>var xbar = math.mean(x);\nvar ybar = math.mean(y);<\/p>\n<p>let 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 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 b = ((sxy*sx2x2)-(sx2y*sxx2)) \/ ((sxx*sx2x2)-Math.pow(sxx2, 2));\n\nvar c = ((sx2y*sxx)-(sxy*sxx2)) \/ ((sxx*sx2x2)-Math.pow(sxx2, 2));\n\nvar a = ybar - (b*xbar) - (c*xbar2);\n\ndocument.getElementById('a').innerHTML = a.toFixed(4);\ndocument.getElementById('b').innerHTML = b.toFixed(4);\ndocument.getElementById('c').innerHTML = c.toFixed(4);\n}\n\n\/\/output error message if boths lists are not equal\nelse {\n \/\/document.getElementById('out').innerHTML = '';\n document.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>\u1024\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\u101e\u100a\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1021\u1015\u1031\u102b\u103a \u1021\u1001\u103c\u1031\u1001\u1036\u104d \u101c\u1031\u1038\u1015\u102f\u1036\u1010\u1005\u103a\u1015\u102f\u1036 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f \u1011\u102f\u1010\u103a\u101c\u102f\u1015\u103a\u101e\u100a\u103a\u104b \u1021\u1031\u102c\u1000\u103a\u1015\u102b\u1021\u1000\u103d\u1000\u103a\u1019\u103b\u102c\u1038\u1010\u103d\u1004\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1015\u102f\u1036\u1005\u1036\u1010\u1005\u103a\u1001\u102f\u1021\u1010\u103d\u1000\u103a \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1005\u102c\u101b\u1004\u103a\u1038\u1000\u102d\u102f \u101b\u102d\u102f\u1038\u101b\u103e\u1004\u103a\u1038\u1005\u103d\u102c\u1011\u100a\u1037\u103a\u1015\u102b\u104a \u1011\u102d\u102f\u1037\u1014\u1031\u102c\u1000\u103a &#8220; \u1010\u103d\u1000\u103a\u1001\u103b\u1000\u103a\u101b\u1014\u103a&#8221; \u1001\u101c\u102f\u1010\u103a\u1000\u102d\u102f \u1014\u103e\u102d\u1015\u103a\u1015\u102b\u104b \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038- 6\u104a 7\u104a 7\u104a 8\u104a 12\u104a 14\u104a 15\u104a 16\u104a 16\u104a 19 \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038- \u1041\u1044\u104a \u1041\u1045\u104a \u1041\u1045\u104a \u1041\u1047\u104a \u1041\u1048\u104a \u1041\u1048\u104a \u1041\u1046\u104a \u1041\u1044\u104a \u1041\u1041\u104a \u1048\u104a Quadratic regression \u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038- \u0177 = -2.5475 + ( 3.7516 )x + ( -0.1704 ) [&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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Quadratic Regression \u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a - Statology<\/title>\n<meta name=\"description\" content=\"\u1024\u1002\u100f\u1014\u103a\u1038\u1010\u103d\u1000\u103a\u1005\u1000\u103a\u101e\u100a\u103a \u1001\u1014\u1037\u103a\u1019\u103e\u1014\u103a\u1038\u101e\u1030\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u104f \u1010\u1014\u103a\u1016\u102d\u102f\u1038\u1019\u103b\u102c\u1038\u1014\u103e\u1004\u1037\u103a \u1010\u102f\u1036\u1037\u1015\u103c\u1014\u103a\u1019\u103e\u102f\u1000\u102d\u1014\u103a\u1038\u101b\u103e\u1004\u103a\u1010\u1005\u103a\u1001\u102f\u1021\u1015\u1031\u102b\u103a \u1021\u1001\u103c\u1031\u1001\u1036\u104d \u101c\u1031\u1038\u1015\u102f\u1036\u1010\u1005\u103a\u1015\u102f\u1036 \u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1019\u103e\u102f\u100a\u102e\u1019\u103b\u103e\u1001\u103c\u1004\u103a\u1038\u1000\u102d\u102f \u1011\u102f\u1010\u103a\u101c\u102f\u1015\u103a\u101e\u100a\u103a\u104b\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/my\/\u101c\u1031\u1038\u1011\u1031\u102c\u1004\u1037\u103a\u1006\u102f\u1010\u103a\u101a\u102f\u1010\u103a\u1002\u100f\u1014\u103a\u1038\/\" \/>\n<meta property=\"og:locale\" content=\"my_MM\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Quadratic 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