fractions regression
[dygraphs.git] / tests / linear-regression-fractions.html
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1<html>
2 <head>
3 <title>Linear Regression</title>
4 <!--[if IE]>
5 <script type="text/javascript" src="../excanvas.js"></script>
6 <![endif]-->
7 <script type="text/javascript" src="../strftime/strftime-min.js"></script>
8 <script type="text/javascript" src="../rgbcolor/rgbcolor.js"></script>
9 <script type="text/javascript" src="../dygraph-canvas.js"></script>
10 <script type="text/javascript" src="../dygraph.js"></script>
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 = "X,Y1,Y2\n";
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 data += i + "," + i + "/120," + (i*(120-i)) + "/" + (60*60) + "\n";
31 }
32
33 g = new Dygraph(
34 document.getElementById("demodiv"),
35 data,
36 {
37 underlayCallback: drawLines,
38 drawPoints: true,
39 strokeWidth: 0.0,
40 fractions: true,
41 errorBars: true
42 }
43 );
44
45 // coefficients of regression for each series.
46 // if coeffs = [ null, [1, 2], null ] then we draw a regression for series 1
47 // only. The regression line is y = 1 + 2 * x.
48 var coeffs = [ null, null, null ];
49 function regression(series) {
50 // Only run the regression over visible points.
51 var range = g.xAxisRange();
52
53 var sum_xy = 0.0, sum_x = 0.0, sum_y = 0.0, sum_x2 = 0.0, num = 0;
54 for (var i = 0; i < g.numRows(); i++) {
55 var x = g.getValue(i, 0);
56 if (x < range[0] || x > range[1]) continue;
57
58 var y = g.getValue(i, series);
59 if (y == null) continue;
60 if (y.length == 2) {
61 // using fractions
62 y = y[0] / y[1];
63 }
64
65 num++;
66 sum_x += x;
67 sum_y += y;
68 sum_xy += x * y;
69 sum_x2 += x * x;
70 }
71
72 var a = (sum_xy - sum_x * sum_y / num) / (sum_x2 - sum_x * sum_x / num);
73 var b = (sum_y - a * sum_x) / num;
74
75 coeffs[series] = [b, a];
76 if (typeof(console) != 'undefined') {
77 console.log("coeffs(" + series + "): [" + b + ", " + a + "]");
78 }
79
80 g.updateOptions({}); // forces a redraw.
81 }
82
83 function clearLines() {
84 for (var i = 0; i < coeffs.length; i++) coeffs[i] = null;
85 g.updateOptions({});
86 }
87
88 function drawLines(ctx, area, layout) {
89 if (typeof(g) == 'undefined') return; // won't be set on the initial draw.
90
91 var range = g.xAxisRange();
92 for (var i = 0; i < coeffs.length; i++) {
93 if (!coeffs[i]) continue;
94 var a = coeffs[i][1];
95 var b = coeffs[i][0];
96
97 var x1 = range[0];
98 var y1 = a * x1 + b;
99 var x2 = range[1];
100 var y2 = a * x2 + b;
101
102 // Scale up to percentages, rather than fractions.
103 y1 *= 100;
104 y2 *= 100;
105
106 var p1 = g.toDomCoords(x1, y1);
107 var p2 = g.toDomCoords(x2, y2);
108
109 var c = new RGBColor(g.getColors()[i - 1]);
110 c.r = Math.floor(255 - 0.5 * (255 - c.r));
111 c.g = Math.floor(255 - 0.5 * (255 - c.g));
112 c.b = Math.floor(255 - 0.5 * (255 - c.b));
113 var color = c.toHex();
114 ctx.save();
115 ctx.strokeStyle = color;
116 ctx.lineWidth = 1.0;
117 ctx.beginPath();
118 ctx.moveTo(p1[0], p1[1]);
119 ctx.lineTo(p2[0], p2[1]);
120 ctx.closePath();
121 ctx.stroke();
122 ctx.restore();
123 }
124 }
125
126 </script>
127
128 <div style="position: absolute; left: 500px; top: 150px;">
129 <input type=button style="color: green;" value="Regression (Y1)" onClick="regression(1)" />
130 <br/><br/>
131 <input type=button style="color: blue;" value="Regression (Y2)" onClick="regression(2)" />
132 <br/><br/>
133 <input type=button value="Clear Lines" onClick="clearLines()" />
134 </div>
135</body>
136</html>