猜相关系数 by University of Melbourne School of Mathematics and Statistics
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这是一个猜相关系数r的游戏,通过散点图展示双变量数据。核心数学概念涉及相关系数。使用了GeoGebra命令如SelectedIndex, Sequence, RandomUniform等。适合高中数学教学或统计学学习。
GeoGebra 命令及参数
SelectedIndex(models) → chosenmodelSequence(Max[-4, Min[RandomNormal[0, 1], 4]], i, 1, 100) → xlistNormalRandomUniform(1, 3) → bRandomUniform(0.6, 1.5) → aRandomUniform((-sqrt((b + 4) / a)), sqrt((b + 4) / a), 100) → xlistOtherIf(chosenmodel ≟ 1, xlistNormal, xlistOther) → xlistRandomUniform(-1, 1) → rhoZip(Max[-4, Min[(rho * xx) + (sqrt(1 - rho^(2)) * RandomNormal[0, 1]), 4]], xx, xlist) → ylistNormalZip(Max[-4, Min[f(xx) + RandomNormal[0, c], 4]], xx, xlist) → ylistOtherIf(chosenmodel ≟ 1, ylistNormal, ylistOther) → ylistZip((xx, yy), xx, xlist, yy, ylist) → xylistPMCC(xylist) → rFitLineY(xylist) → rlinePolygon(Corner[2], Corner[3], (0.75 * Corner[3]) + (0.25 * Corner[4]), (0.75 * Corner[2]) + (0.25 * Corner[1])) → panel, g, h, i, jIf(abs(guess - r) > 0.2, 0, If[0.1 < abs(guess - r) ≤ 0.2, 1, If[abs(guess - r) ≤ 0.1, 2, 3]]) → guessstateTextfield(guessinput) → InputBox1