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54425b14 | 1 | <!DOCTYPE html> |
34bbe78b DV |
2 | <html> |
3 | <head> | |
fd6b8dad | 4 | <link rel="stylesheet" href="../dist/dygraph.css"> |
34bbe78b | 5 | <title>Linear Regression</title> |
fbd6834a | 6 | <script type="text/javascript" src="../dist/dygraph.js"></script> |
7e5ddc94 | 7 | |
34bbe78b DV |
8 | <style type="text/css"> |
9 | body { max-width: 640 px; } | |
10 | </style> | |
11 | </head> | |
12 | <body> | |
13 | <h2>Linear Regression Demo</h2> | |
14 | <p>Click the buttons to generate linear regressions over either data | |
15 | series. If you zoom in and click the regression button, the regression will | |
16 | only be run over visible points. Zoom back out to see what the local | |
17 | regression looks like over the full data.</p> | |
18 | ||
19 | <div id="demodiv" style="width: 480px; height: 320px;"></div> | |
20 | ||
21 | <script type="text/javascript"> | |
22 | var data = []; | |
23 | for (var i = 0; i < 120; i++) { | |
24 | data.push([i, | |
25 | i / 5.0 + 10.0 * Math.sin(i / 3.0), | |
26 | 30.0 - i / 5.0 - 10.0 * Math.sin(i / 3.0 + 1.0)]); | |
27 | } | |
28 | var labels = ['X', 'Y1', 'Y2']; | |
29 | var orig_colors = []; | |
30 | ||
31 | g = new Dygraph( | |
32 | document.getElementById("demodiv"), | |
33 | data, | |
34 | { | |
35 | labels: labels, | |
36 | drawPoints: true, | |
de0445fc | 37 | strokeWidth: 0.0, |
34bbe78b DV |
38 | drawCallback: function(g, is_initial) { |
39 | if (!is_initial) return; | |
40 | var c = g.getColors(); | |
41 | for (var i = 0; i < c.length; i++) orig_colors.push(c[i]); | |
42 | } | |
43 | } | |
44 | ); | |
45 | ||
46 | // coefficients of regression for each series. | |
47 | // if coeffs = [ null, [1, 2], null ] then we draw a regression for series 1 | |
48 | // only. The regression line is y = 1 + 2 * x. | |
49 | var coeffs = [ null, null, null ]; | |
50 | function regression(series) { | |
51 | // Only run the regression over visible points. | |
52 | var range = g.xAxisRange(); | |
53 | ||
54 | var sum_xy = 0.0, sum_x = 0.0, sum_y = 0.0, sum_x2 = 0.0, num = 0; | |
55 | for (var i = 0; i < data.length; i++) { | |
56 | var x = data[i][0]; | |
57 | if (x < range[0] || x > range[1]) continue; | |
58 | ||
59 | var y = data[i][series]; | |
60 | if (y == null) continue; | |
d1dfab80 DV |
61 | if (y.length == 2) { |
62 | // using fractions | |
63 | y = y[0] / y[1]; | |
64 | } | |
34bbe78b DV |
65 | |
66 | num++; | |
67 | sum_x += x; | |
68 | sum_y += y; | |
69 | sum_xy += x * y; | |
70 | sum_x2 += x * x; | |
71 | } | |
72 | ||
73 | var a = (sum_xy - sum_x * sum_y / num) / (sum_x2 - sum_x * sum_x / num); | |
74 | var b = (sum_y - a * sum_x) / num; | |
75 | ||
76 | coeffs[series] = [b, a]; | |
4df1af70 | 77 | if (typeof(console) != 'undefined') { |
34bbe78b DV |
78 | console.log("coeffs(" + series + "): [" + b + ", " + a + "]"); |
79 | } | |
80 | ||
81 | updateChart(); | |
82 | } | |
83 | ||
0a171c09 DV |
84 | function toHex(rgb) { |
85 | return 'rgb(' + rgb.r + ',' + rgb.g + ',' + rgb.b + ')'; | |
86 | } | |
87 | ||
34bbe78b DV |
88 | function updateChart() { |
89 | // Generate a new data set with the regression lines. | |
90 | var new_labels = []; | |
91 | var new_colors = []; | |
de0445fc | 92 | var new_opts = {}; |
34bbe78b DV |
93 | for (var i = 0; i < labels.length; i++) { |
94 | new_labels.push(labels[i]); | |
95 | if (i) new_colors.push(orig_colors[i - 1]); | |
96 | if (coeffs[i]) { | |
97 | // Darken the series by 50% to generate its regression. | |
227b93cc DV |
98 | var label = labels[i] + " Regression"; |
99 | new_labels.push(label); | |
0a171c09 | 100 | var c = Dygraph.toRGB_(orig_colors[i - 1]); |
34bbe78b DV |
101 | c.r = Math.floor(255 - 0.5 * (255 - c.r)); |
102 | c.g = Math.floor(255 - 0.5 * (255 - c.g)); | |
103 | c.b = Math.floor(255 - 0.5 * (255 - c.b)); | |
0a171c09 | 104 | new_colors.push(toHex(c)); |
227b93cc | 105 | new_opts[label] = { |
de0445fc DV |
106 | drawPoints: false, |
107 | strokeWidth: 1.0 | |
108 | }; | |
34bbe78b DV |
109 | } |
110 | } | |
111 | ||
112 | var new_data = []; | |
113 | for (var i = 0; i < data.length; i++) { | |
114 | new_data.push([]); | |
115 | for (var j = 0; j < data[i].length; j++) { | |
116 | new_data[i].push(data[i][j]); | |
117 | if (coeffs[j]) { | |
118 | new_data[i].push(coeffs[j][0] + coeffs[j][1] * data[i][0]); | |
119 | } | |
120 | } | |
121 | } | |
122 | ||
de0445fc DV |
123 | new_opts.file = new_data; |
124 | new_opts.labels = new_labels; | |
125 | new_opts.colors = new_colors; | |
126 | g.updateOptions(new_opts); | |
34bbe78b DV |
127 | } |
128 | ||
129 | function clearLines() { | |
130 | for (var i = 0; i < coeffs.length; i++) coeffs[i] = null; | |
131 | updateChart(); | |
132 | } | |
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133 | |
134 | </script> | |
135 | ||
136 | <div style="position: absolute; left: 500px; top: 150px;"> | |
137 | <input type=button style="color: green;" value="Regression (Y1)" onClick="regression(1)" /> | |
138 | <br/><br/> | |
139 | <input type=button style="color: blue;" value="Regression (Y2)" onClick="regression(2)" /> | |
140 | <br/><br/> | |
141 | <input type=button value="Clear Lines" onClick="clearLines()" /> | |
142 | </div> | |
143 | </body> | |
144 | </html> |