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54425b14 1<!DOCTYPE html>
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2<html>
3 <head>
4 <title>Linear Regression</title>
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5 <!--
6 For production (minified) code, use:
7 <script type="text/javascript" src="dygraph-combined.js"></script>
8 -->
fbd6834a 9 <script type="text/javascript" src="../dist/dygraph.js"></script>
7e5ddc94 10
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11 <style type="text/css">
12 body { max-width: 640 px; }
13 </style>
14 </head>
15 <body>
16 <h2>Linear Regression Demo</h2>
17 <p>Click the buttons to generate linear regressions over either data
18 series. If you zoom in and click the regression button, the regression will
19 only be run over visible points. Zoom back out to see what the local
20 regression looks like over the full data.</p>
21
22 <div id="demodiv" style="width: 480px; height: 320px;"></div>
23
24 <script type="text/javascript">
25 var data = [];
26 for (var i = 0; i < 120; i++) {
27 data.push([i,
28 i / 5.0 + 10.0 * Math.sin(i / 3.0),
29 30.0 - i / 5.0 - 10.0 * Math.sin(i / 3.0 + 1.0)]);
30 }
31 var labels = ['X', 'Y1', 'Y2'];
32 var orig_colors = [];
33
34 g = new Dygraph(
35 document.getElementById("demodiv"),
36 data,
37 {
38 labels: labels,
39 drawPoints: true,
de0445fc 40 strokeWidth: 0.0,
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41 drawCallback: function(g, is_initial) {
42 if (!is_initial) return;
43 var c = g.getColors();
44 for (var i = 0; i < c.length; i++) orig_colors.push(c[i]);
45 }
46 }
47 );
48
49 // coefficients of regression for each series.
50 // if coeffs = [ null, [1, 2], null ] then we draw a regression for series 1
51 // only. The regression line is y = 1 + 2 * x.
52 var coeffs = [ null, null, null ];
53 function regression(series) {
54 // Only run the regression over visible points.
55 var range = g.xAxisRange();
56
57 var sum_xy = 0.0, sum_x = 0.0, sum_y = 0.0, sum_x2 = 0.0, num = 0;
58 for (var i = 0; i < data.length; i++) {
59 var x = data[i][0];
60 if (x < range[0] || x > range[1]) continue;
61
62 var y = data[i][series];
63 if (y == null) continue;
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64 if (y.length == 2) {
65 // using fractions
66 y = y[0] / y[1];
67 }
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68
69 num++;
70 sum_x += x;
71 sum_y += y;
72 sum_xy += x * y;
73 sum_x2 += x * x;
74 }
75
76 var a = (sum_xy - sum_x * sum_y / num) / (sum_x2 - sum_x * sum_x / num);
77 var b = (sum_y - a * sum_x) / num;
78
79 coeffs[series] = [b, a];
4df1af70 80 if (typeof(console) != 'undefined') {
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81 console.log("coeffs(" + series + "): [" + b + ", " + a + "]");
82 }
83
84 updateChart();
85 }
86
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87 function toHex(rgb) {
88 return 'rgb(' + rgb.r + ',' + rgb.g + ',' + rgb.b + ')';
89 }
90
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91 function updateChart() {
92 // Generate a new data set with the regression lines.
93 var new_labels = [];
94 var new_colors = [];
de0445fc 95 var new_opts = {};
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96 for (var i = 0; i < labels.length; i++) {
97 new_labels.push(labels[i]);
98 if (i) new_colors.push(orig_colors[i - 1]);
99 if (coeffs[i]) {
100 // Darken the series by 50% to generate its regression.
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101 var label = labels[i] + " Regression";
102 new_labels.push(label);
0a171c09 103 var c = Dygraph.toRGB_(orig_colors[i - 1]);
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104 c.r = Math.floor(255 - 0.5 * (255 - c.r));
105 c.g = Math.floor(255 - 0.5 * (255 - c.g));
106 c.b = Math.floor(255 - 0.5 * (255 - c.b));
0a171c09 107 new_colors.push(toHex(c));
227b93cc 108 new_opts[label] = {
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109 drawPoints: false,
110 strokeWidth: 1.0
111 };
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112 }
113 }
114
115 var new_data = [];
116 for (var i = 0; i < data.length; i++) {
117 new_data.push([]);
118 for (var j = 0; j < data[i].length; j++) {
119 new_data[i].push(data[i][j]);
120 if (coeffs[j]) {
121 new_data[i].push(coeffs[j][0] + coeffs[j][1] * data[i][0]);
122 }
123 }
124 }
125
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126 new_opts.file = new_data;
127 new_opts.labels = new_labels;
128 new_opts.colors = new_colors;
129 g.updateOptions(new_opts);
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130 }
131
132 function clearLines() {
133 for (var i = 0; i < coeffs.length; i++) coeffs[i] = null;
134 updateChart();
135 }
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136
137 </script>
138
139 <div style="position: absolute; left: 500px; top: 150px;">
140 <input type=button style="color: green;" value="Regression (Y1)" onClick="regression(1)" />
141 <br/><br/>
142 <input type=button style="color: blue;" value="Regression (Y2)" onClick="regression(2)" />
143 <br/><br/>
144 <input type=button value="Clear Lines" onClick="clearLines()" />
145 </div>
146</body>
147</html>