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r-squared.js
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var __extends = (this && this.__extends) || function (d, b) {
for (var p in b) if (b.hasOwnProperty(p)) d[p] = b[p];
function __() { this.constructor = d; }
d.prototype = b === null ? Object.create(b) : (__.prototype = b.prototype, new __());
};
define(["require", "exports", 'react', 'react-dom', 'd3', 'katex'], function (require, exports, React, ReactDOM, d3, katex) {
"use strict";
var WIDTH = 500;
var HEIGHT = 500;
var MARGIN = 25;
function getY(points) {
return points.map(function (_a) {
var x = _a[0], y = _a[1];
return y;
});
}
function getX(points) {
return points.map(function (_a) {
var x = _a[0], y = _a[1];
return x;
});
}
function getSlope(points) {
var n = points.length;
var _a = getStatistics(points), meanX = _a.meanX, meanY = _a.meanY, squareX = _a.squareX, s = _a.s;
return ((s - n * meanX * meanY) / (squareX - n * meanX * meanX));
}
function getIntercept(points) {
var n = points.length;
var _a = getStatistics(points), meanX = _a.meanX, meanY = _a.meanY, squareX = _a.squareX, s = _a.s;
return ((meanY * squareX - meanX * s) / (squareX - n * meanX * meanX));
}
function getMeanRegression(points) {
if (!points.length) {
return null;
}
return function (x) { return d3.mean(getY(points)); };
}
function getLinearRegression(points) {
if (points.length < 2) {
return null;
}
var intercept = getIntercept(points);
var slope = getSlope(points);
var cache = {};
return function (x) {
if (cache[x] === undefined) {
cache[x] = intercept + x * slope;
}
return cache[x];
};
}
function getSumSquares(points, regression) {
var addSquares = function (prev, _a) {
var x = _a[0], y = _a[1];
var distance = regression(x) - y;
return prev + distance * distance;
};
return points.reduce(addSquares, 0);
}
function getStatistics(points) {
return {
'meanX': d3.mean(getX(points)),
'meanY': d3.mean(getY(points)),
'squareX': getX(points).reduce(function (prev, p) { return prev + p * p; }, 0),
's': points.reduce(function (prev, _a) {
var x = _a[0], y = _a[1];
return prev + x * y;
}, 0),
};
}
function Circle(_a) {
var x = _a.x, y = _a.y, pointNumber = _a.pointNumber, changePoint = _a.changePoint;
function addDragBehavior(element) {
var drag = d3.behavior.drag().on('drag', function () {
changePoint(pointNumber, d3.mouse(this));
});
var d3element = d3.select(element);
d3element.call(drag);
}
return (React.createElement("circle", {cx: x, cy: y, r: "7", ref: function (element) { return addDragBehavior(element); }}));
}
function Rect(_a) {
var x = _a.x, y = _a.y, f_x = _a.f_x, color = _a.color;
var style = { fill: color, opacity: 0.5 };
var distance = Math.abs(f_x - y);
if (y > f_x) {
y = f_x;
}
else {
x = x - distance;
}
return (React.createElement("rect", {x: x, y: y, width: distance, height: distance, style: style}));
}
function Circles(_a) {
var points = _a.points, changePoint = _a.changePoint;
return (React.createElement("g", null, points.map(function (_a, i) {
var x = _a[0], y = _a[1];
return React.createElement(Circle, {key: i, x: x, y: y, changePoint: changePoint, pointNumber: i});
})));
}
function Line(_a) {
var regression = _a.regression, label = _a.label;
if (!regression) {
return null;
}
return (React.createElement("g", null,
React.createElement("text", {className: "katex label", x: (WIDTH + MARGIN) / 2, y: regression((WIDTH + MARGIN) / 2) - 15}, label),
React.createElement("line", {className: "regressionLine", x1: MARGIN, y1: regression(MARGIN), x2: WIDTH - MARGIN, y2: regression(WIDTH - MARGIN)})));
}
function Rects(_a) {
var points = _a.points, regression = _a.regression, color = _a.color;
if (!regression) {
return null;
}
return (React.createElement("g", null, points.map(function (_a, i) {
var x = _a[0], y = _a[1];
return React.createElement(Rect, {key: i, x: x, y: y, f_x: regression(x), color: color});
})));
}
function Axes() {
return (React.createElement("g", null,
React.createElement("defs", null,
React.createElement("marker", {id: "arrow", viewBox: "0 -5 10 10", refX: "5", refY: "0", markerWidth: "5", markerHeight: "7", orient: "auto"},
React.createElement("path", {d: "M0,-5L10,0L0,5", className: "arrowHead"})
)
),
React.createElement("line", {className: "arrow", markerEnd: "url(#arrow)", x1: MARGIN, y1: HEIGHT - MARGIN, x2: MARGIN, y2: MARGIN}),
React.createElement("text", {className: "katex", x: "0", y: MARGIN}, "y"),
React.createElement("line", {className: "arrow", markerEnd: "url(#arrow)", x1: MARGIN, y1: HEIGHT - MARGIN, x2: WIDTH - MARGIN, y2: HEIGHT - MARGIN}),
React.createElement("text", {className: "katex", x: WIDTH - MARGIN, y: HEIGHT}, "x")));
}
var RootComponent = (function (_super) {
__extends(RootComponent, _super);
function RootComponent() {
_super.call(this);
this.state = { points: [] };
this.changePoint = this.changePoint.bind(this);
this.addPoint = this.addPoint.bind(this);
this.formula = katex.renderToString('R^2' + this.formulaTemplate('SS_\\text{res}', 'SS_\\text{tot}'));
}
RootComponent.prototype.render = function () {
var points = this.state.points;
var meanRegression = getMeanRegression(points);
var linearRegression = getLinearRegression(points);
var formula = this.formula;
if (linearRegression) {
var sumSquaresMean = getSumSquares(points, meanRegression) / 10;
var sumSquaresLinear = getSumSquares(points, linearRegression) / 10;
var rSquare = 1 - sumSquaresLinear / sumSquaresMean;
formula += ' ' + katex.renderToString(this.formulaTemplate(sumSquaresLinear.toFixed(2), sumSquaresMean.toFixed(2)) +
' = ' + rSquare.toFixed(2));
}
return (React.createElement("div", null,
React.createElement("svg", {width: WIDTH, height: HEIGHT, onClick: this.addPoint},
React.createElement(Axes, null),
React.createElement(Rects, {points: points, regression: meanRegression, color: "red"}),
React.createElement(Line, {regression: meanRegression, label: "y"}),
React.createElement(Circles, {points: points, changePoint: this.changePoint})),
React.createElement("svg", {width: WIDTH, height: HEIGHT, onClick: this.addPoint},
React.createElement(Axes, null),
React.createElement(Rects, {points: points, regression: linearRegression, color: "blue"}),
React.createElement(Line, {regression: linearRegression, label: "f"}),
React.createElement(Circles, {points: points, changePoint: this.changePoint})),
React.createElement("div", {id: "calculate-r-square", dangerouslySetInnerHTML: { __html: formula }})));
};
RootComponent.prototype.formulaTemplate = function (sumResiduals, sumTotal) {
return " = 1 - \\frac{\\color{blue}{" + sumResiduals + "}}{\\color{red}{" + sumTotal + "}} ";
};
RootComponent.prototype.addPoint = function (event) {
var point = [event.nativeEvent.offsetX, event.nativeEvent.offsetY];
if (!event.defaultPrevented) {
this.setState({ points: this.state.points.concat([point]) });
}
};
RootComponent.prototype.changePoint = function (i, point) {
this.state.points[i] = point;
this.setState({ points: this.state.points });
};
return RootComponent;
}(React.Component));
var mainElement = document.getElementById("main");
ReactDOM.render(React.createElement(RootComponent, null), mainElement);
return {
getIntercept: getIntercept,
getSlope: getSlope,
getSumSquares: getSumSquares,
};
});