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Simple linear regression
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| sepalLength | sepalWidth | petalLength | petalWidth | species | |
|---|---|---|---|---|---|
| 5.1 | 3.5 | 1.4 | 0.2 | setosa | |
| 4.9 | 3.0 | 1.4 | 0.2 | setosa | |
| 4.7 | 3.2 | 1.3 | 0.2 | setosa | |
| 4.6 | 3.1 | 1.5 | 0.2 | setosa | |
| 5.0 | 3.6 | 1.4 | 0.2 | setosa | |
| 5.4 | 3.9 | 1.7 | 0.4 | setosa | |
| 4.6 | 3.4 | 1.4 | 0.3 | setosa | |
| 5.0 | 3.4 | 1.5 | 0.2 | setosa | |
| 4.4 | 2.9 | 1.4 | 0.2 | setosa | |
| 4.9 | 3.1 | 1.5 | 0.1 | setosa | |
| 5.4 | 3.7 | 1.5 | 0.2 | setosa | |
| 4.8 | 3.4 | 1.6 | 0.2 | setosa | |
| 4.8 | 3.0 | 1.4 | 0.1 | setosa | |
| 4.3 | 3.0 | 1.1 | 0.1 | setosa | |
| 5.8 | 4.0 | 1.2 | 0.2 | setosa | |
| 5.7 | 4.4 | 1.5 | 0.4 | setosa | |
| 5.4 | 3.9 | 1.3 | 0.4 | setosa | |
| 5.1 | 3.5 | 1.4 | 0.3 | setosa | |
| 5.7 | 3.8 | 1.7 | 0.3 | setosa | |
| 5.1 | 3.8 | 1.5 | 0.3 | setosa | |
| 5.4 | 3.4 | 1.7 | 0.2 | setosa | |
| 5.1 | 3.7 | 1.5 | 0.4 | setosa | |
| 4.6 | 3.6 | 1.0 | 0.2 | setosa | |
| 5.1 | 3.3 | 1.7 | 0.5 | setosa | |
| 4.8 | 3.4 | 1.9 | 0.2 | setosa | |
| 5.0 | 3.0 | 1.6 | 0.2 | setosa | |
| 5.0 | 3.4 | 1.6 | 0.4 | setosa | |
| 5.2 | 3.5 | 1.5 | 0.2 | setosa | |
| 5.2 | 3.4 | 1.4 | 0.2 | setosa | |
| 4.7 | 3.2 | 1.6 | 0.2 | setosa | |
| 4.8 | 3.1 | 1.6 | 0.2 | setosa | |
| 5.4 | 3.4 | 1.5 | 0.4 | setosa | |
| 5.2 | 4.1 | 1.5 | 0.1 | setosa | |
| 5.5 | 4.2 | 1.4 | 0.2 | setosa | |
| 4.9 | 3.1 | 1.5 | 0.2 | setosa | |
| 5.0 | 3.2 | 1.2 | 0.2 | setosa | |
| 5.5 | 3.5 | 1.3 | 0.2 | setosa | |
| 4.9 | 3.6 | 1.4 | 0.1 | setosa | |
| 4.4 | 3.0 | 1.3 | 0.2 | setosa | |
| 5.1 | 3.4 | 1.5 | 0.2 | setosa | |
| 5.0 | 3.5 | 1.3 | 0.3 | setosa | |
| 4.5 | 2.3 | 1.3 | 0.3 | setosa | |
| 4.4 | 3.2 | 1.3 | 0.2 | setosa | |
| 5.0 | 3.5 | 1.6 | 0.6 | setosa | |
| 5.1 | 3.8 | 1.9 | 0.4 | setosa | |
| 4.8 | 3.0 | 1.4 | 0.3 | setosa | |
| 5.1 | 3.8 | 1.6 | 0.2 | setosa | |
| 4.6 | 3.2 | 1.4 | 0.2 | setosa | |
| 5.3 | 3.7 | 1.5 | 0.2 | setosa | |
| 5.0 | 3.3 | 1.4 | 0.2 | setosa | |
| 7.0 | 3.2 | 4.7 | 1.4 | versicolor | |
| 6.4 | 3.2 | 4.5 | 1.5 | versicolor | |
| 6.9 | 3.1 | 4.9 | 1.5 | versicolor | |
| 5.5 | 2.3 | 4.0 | 1.3 | versicolor | |
| 6.5 | 2.8 | 4.6 | 1.5 | versicolor | |
| 5.7 | 2.8 | 4.5 | 1.3 | versicolor | |
| 6.3 | 3.3 | 4.7 | 1.6 | versicolor | |
| 4.9 | 2.4 | 3.3 | 1.0 | versicolor | |
| 6.6 | 2.9 | 4.6 | 1.3 | versicolor | |
| 5.2 | 2.7 | 3.9 | 1.4 | versicolor | |
| 5.0 | 2.0 | 3.5 | 1.0 | versicolor | |
| 5.9 | 3.0 | 4.2 | 1.5 | versicolor | |
| 6.0 | 2.2 | 4.0 | 1.0 | versicolor | |
| 6.1 | 2.9 | 4.7 | 1.4 | versicolor | |
| 5.6 | 2.9 | 3.6 | 1.3 | versicolor | |
| 6.7 | 3.1 | 4.4 | 1.4 | versicolor | |
| 5.6 | 3.0 | 4.5 | 1.5 | versicolor | |
| 5.8 | 2.7 | 4.1 | 1.0 | versicolor | |
| 6.2 | 2.2 | 4.5 | 1.5 | versicolor | |
| 5.6 | 2.5 | 3.9 | 1.1 | versicolor | |
| 5.9 | 3.2 | 4.8 | 1.8 | versicolor | |
| 6.1 | 2.8 | 4.0 | 1.3 | versicolor | |
| 6.3 | 2.5 | 4.9 | 1.5 | versicolor | |
| 6.1 | 2.8 | 4.7 | 1.2 | versicolor | |
| 6.4 | 2.9 | 4.3 | 1.3 | versicolor | |
| 6.6 | 3.0 | 4.4 | 1.4 | versicolor | |
| 6.8 | 2.8 | 4.8 | 1.4 | versicolor | |
| 6.7 | 3.0 | 5.0 | 1.7 | versicolor | |
| 6.0 | 2.9 | 4.5 | 1.5 | versicolor | |
| 5.7 | 2.6 | 3.5 | 1.0 | versicolor | |
| 5.5 | 2.4 | 3.8 | 1.1 | versicolor | |
| 5.5 | 2.4 | 3.7 | 1.0 | versicolor | |
| 5.8 | 2.7 | 3.9 | 1.2 | versicolor | |
| 6.0 | 2.7 | 5.1 | 1.6 | versicolor | |
| 5.4 | 3.0 | 4.5 | 1.5 | versicolor | |
| 6.0 | 3.4 | 4.5 | 1.6 | versicolor | |
| 6.7 | 3.1 | 4.7 | 1.5 | versicolor | |
| 6.3 | 2.3 | 4.4 | 1.3 | versicolor | |
| 5.6 | 3.0 | 4.1 | 1.3 | versicolor | |
| 5.5 | 2.5 | 4.0 | 1.3 | versicolor | |
| 5.5 | 2.6 | 4.4 | 1.2 | versicolor | |
| 6.1 | 3.0 | 4.6 | 1.4 | versicolor | |
| 5.8 | 2.6 | 4.0 | 1.2 | versicolor | |
| 5.0 | 2.3 | 3.3 | 1.0 | versicolor | |
| 5.6 | 2.7 | 4.2 | 1.3 | versicolor | |
| 5.7 | 3.0 | 4.2 | 1.2 | versicolor | |
| 5.7 | 2.9 | 4.2 | 1.3 | versicolor | |
| 6.2 | 2.9 | 4.3 | 1.3 | versicolor | |
| 5.1 | 2.5 | 3.0 | 1.1 | versicolor | |
| 5.7 | 2.8 | 4.1 | 1.3 | versicolor | |
| 6.3 | 3.3 | 6.0 | 2.5 | virginica | |
| 5.8 | 2.7 | 5.1 | 1.9 | virginica | |
| 7.1 | 3.0 | 5.9 | 2.1 | virginica | |
| 6.3 | 2.9 | 5.6 | 1.8 | virginica | |
| 6.5 | 3.0 | 5.8 | 2.2 | virginica | |
| 7.6 | 3.0 | 6.6 | 2.1 | virginica | |
| 4.9 | 2.5 | 4.5 | 1.7 | virginica | |
| 7.3 | 2.9 | 6.3 | 1.8 | virginica | |
| 6.7 | 2.5 | 5.8 | 1.8 | virginica | |
| 7.2 | 3.6 | 6.1 | 2.5 | virginica | |
| 6.5 | 3.2 | 5.1 | 2.0 | virginica | |
| 6.4 | 2.7 | 5.3 | 1.9 | virginica | |
| 6.8 | 3.0 | 5.5 | 2.1 | virginica | |
| 5.7 | 2.5 | 5.0 | 2.0 | virginica | |
| 5.8 | 2.8 | 5.1 | 2.4 | virginica | |
| 6.4 | 3.2 | 5.3 | 2.3 | virginica | |
| 6.5 | 3.0 | 5.5 | 1.8 | virginica | |
| 7.7 | 3.8 | 6.7 | 2.2 | virginica | |
| 7.7 | 2.6 | 6.9 | 2.3 | virginica | |
| 6.0 | 2.2 | 5.0 | 1.5 | virginica | |
| 6.9 | 3.2 | 5.7 | 2.3 | virginica | |
| 5.6 | 2.8 | 4.9 | 2.0 | virginica | |
| 7.7 | 2.8 | 6.7 | 2.0 | virginica | |
| 6.3 | 2.7 | 4.9 | 1.8 | virginica | |
| 6.7 | 3.3 | 5.7 | 2.1 | virginica | |
| 7.2 | 3.2 | 6.0 | 1.8 | virginica | |
| 6.2 | 2.8 | 4.8 | 1.8 | virginica | |
| 6.1 | 3.0 | 4.9 | 1.8 | virginica | |
| 6.4 | 2.8 | 5.6 | 2.1 | virginica | |
| 7.2 | 3.0 | 5.8 | 1.6 | virginica | |
| 7.4 | 2.8 | 6.1 | 1.9 | virginica | |
| 7.9 | 3.8 | 6.4 | 2.0 | virginica | |
| 6.4 | 2.8 | 5.6 | 2.2 | virginica | |
| 6.3 | 2.8 | 5.1 | 1.5 | virginica | |
| 6.1 | 2.6 | 5.6 | 1.4 | virginica | |
| 7.7 | 3.0 | 6.1 | 2.3 | virginica | |
| 6.3 | 3.4 | 5.6 | 2.4 | virginica | |
| 6.4 | 3.1 | 5.5 | 1.8 | virginica | |
| 6.0 | 3.0 | 4.8 | 1.8 | virginica | |
| 6.9 | 3.1 | 5.4 | 2.1 | virginica | |
| 6.7 | 3.1 | 5.6 | 2.4 | virginica | |
| 6.9 | 3.1 | 5.1 | 2.3 | virginica | |
| 5.8 | 2.7 | 5.1 | 1.9 | virginica | |
| 6.8 | 3.2 | 5.9 | 2.3 | virginica | |
| 6.7 | 3.3 | 5.7 | 2.5 | virginica | |
| 6.7 | 3.0 | 5.2 | 2.3 | virginica | |
| 6.3 | 2.5 | 5.0 | 1.9 | virginica | |
| 6.5 | 3.0 | 5.2 | 2.0 | virginica | |
| 6.2 | 3.4 | 5.4 | 2.3 | virginica | |
| 5.9 | 3.0 | 5.1 | 1.8 | virginica |
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| <!DOCTYPE html> | |
| <meta charset="utf-8"> | |
| <style> | |
| body { | |
| font: 10px sans-serif; | |
| } | |
| .axis path, | |
| .axis line { | |
| fill: none; | |
| stroke: #000; | |
| shape-rendering: crispEdges; | |
| } | |
| .dot { | |
| stroke: #000; | |
| } | |
| </style> | |
| <body> | |
| <!-- HI BRENT! --> | |
| <script src="//d3js.org/d3.v3.min.js"></script> | |
| <script> | |
| function speciesSelect(array,species){ | |
| return array.filter(function(d){ | |
| return d.species===species; | |
| }); | |
| } | |
| function residuals(array,y,x,regOutput){ | |
| array.forEach(function(d) { | |
| d.residual = d[y]-d[x]*regOutput.beta-regOutput.alpha; | |
| }); | |
| } | |
| function regressionOutput(array,x,y){ | |
| var meanX = mean(array,x); | |
| var meanY = mean(array,y); | |
| var dotProductXY = dotProduct(array,x,y); | |
| var dotProductXX = dotProduct(array,x,x); | |
| var beta = (dotProductXY-meanX*meanY)/(dotProductXX-meanX^2); | |
| var alpha = meanY - beta*meanX; | |
| return {'alpha':alpha,'beta':beta}; | |
| } | |
| function dotProduct(array,x,y){ | |
| var result = 0; | |
| array.forEach(function(d) { | |
| result += d[x]*d[y]; | |
| }); | |
| return result; | |
| } | |
| function mean(array,x){ | |
| var result = 0; | |
| array.forEach(function(d) { | |
| result += d[x]; | |
| }); | |
| result=result/array.length; | |
| return result; | |
| } | |
| var margin = {top: 20, right: 20, bottom: 30, left: 40}, | |
| width = 960 - margin.left - margin.right, | |
| height = 500 - margin.top - margin.bottom; | |
| var x = d3.scale.linear() | |
| .range([0, width]); | |
| var y = d3.scale.linear() | |
| .range([height, 0]); | |
| var color = d3.scale.category10(); | |
| var xAxis = d3.svg.axis() | |
| .scale(x) | |
| .orient("bottom"); | |
| var yAxis = d3.svg.axis() | |
| .scale(y) | |
| .orient("left"); | |
| var svg = d3.select("body").append("svg") | |
| .attr("width", width + margin.left + margin.right) | |
| .attr("height", height + margin.top + margin.bottom) | |
| .append("g") | |
| .attr("transform", "translate(" + margin.left + "," + margin.top + ")"); | |
| d3.tsv("data.tsv", function(error, data) { | |
| if (error) throw error; | |
| data.forEach(function(d) { | |
| d.sepalLength = +d.sepalLength; | |
| d.sepalWidth = +d.sepalWidth; | |
| }); | |
| var species=["setosa","virginica","versicolor"]; | |
| var xlimits=d3.extent(data, function(d) { return d.sepalWidth;}) | |
| xlimits[0]=0; | |
| var ylimits=d3.extent(data, function(d) { return d.sepalLength;}) | |
| ylimits[0]=0; | |
| x.domain(xlimits).nice(); | |
| y.domain(ylimits).nice(); | |
| var regressionstats=[]; | |
| species.forEach(function(d){ | |
| regressionstats.push(regressionOutput(speciesSelect(data,d),"sepalWidth","sepalLength")); | |
| }); | |
| var lineDataMotherload=[]; | |
| regressionstats.forEach(function(d){ | |
| lineDataMotherload.push([ { "x": xlimits[0], "y": d.alpha}, { "x": xlimits[1], | |
| "y":d.alpha+d.beta*xlimits[1]}]); | |
| }); | |
| var lineFunction = d3.svg.line() | |
| .x(function(d) { return x(d.x); }) | |
| .y(function(d) { return y(d.y); }) | |
| .interpolate("linear"); | |
| var linePlots = lineDataMotherload.map(lineFunction); | |
| var lineGraph = svg.selectAll(".line") | |
| .data(linePlots) | |
| .enter().append("path") | |
| .attr("d",function(d){return d;}) | |
| .attr("stroke",function(d,i){return color(species[i]);}) | |
| .attr("stroke-width", 2) | |
| .attr("fill", "none") | |
| .attr("opacity",.5); | |
| svg.append("g") | |
| .attr("class", "x axis") | |
| .attr("transform", "translate(0," + height + ")") | |
| .call(xAxis) | |
| .append("text") | |
| .attr("class", "label") | |
| .attr("x", width) | |
| .attr("y", -6) | |
| .style("text-anchor", "end") | |
| .text("Sepal Width (cm)"); | |
| svg.append("g") | |
| .attr("class", "y axis") | |
| .call(yAxis) | |
| .append("text") | |
| .attr("class", "label") | |
| .attr("transform", "rotate(-90)") | |
| .attr("y", 6) | |
| .attr("dy", ".71em") | |
| .style("text-anchor", "end") | |
| .text("Sepal Length (cm)") | |
| svg.selectAll(".dot") | |
| .data(data) | |
| .attr("d",function(d){console.log(d);}) | |
| .enter().append("circle") | |
| .attr("class", "dot") | |
| .attr("r", 3.5) | |
| .attr("cx", function(d) { return x(d.sepalWidth); }) | |
| .attr("cy", function(d) { return y(d.sepalLength); }) | |
| .style("fill", function(d) { return color(d.species); }); | |
| var legend = svg.selectAll(".legend") | |
| .data(color.domain()) | |
| .enter().append("g") | |
| .attr("class", "legend") | |
| .attr("transform", function(d, i) { return "translate(0," + i * 20 + ")"; }); | |
| legend.append("rect") | |
| .attr("x", width - 18) | |
| .attr("width", 18) | |
| .attr("height", 18) | |
| .style("fill", color); | |
| legend.append("text") | |
| .attr("x", width - 24) | |
| .attr("y", 9) | |
| .attr("dy", ".35em") | |
| .style("text-anchor", "end") | |
| .text(function(d) { return d; }); | |
| }); | |
| </script> |
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