散点图中的残差演示
几何画板及绘图内容加载中,请稍等……
①本范例演示如何在散点图中绘制残差;②涉及核心数学概念包括残差、散点图、线性回归、PMCC(相关系数);③作图要点:使用了Element, Min, Max, If, Sequence, Length, Segment, PMCC, VerticalText, Text等GeoGebra命令和对象;④适合高中数学教学,用于理解数据拟合与残差分析。
GeoGebra 命令及参数
Element(DtYSq, dataset) → DtY0Min(DtY0) → YDtMnMax(DtY0) → YDtMxElement(DtXSq, dataset) → DtX0Min(DtX0) → XMnMax(DtX0) → XMxIf((5 * XScLB) ≤ XScUB, (5 * XScLB), If[(2 * XScLB) ≤ XScUB, (2 * XScLB), XScLB]) → XAxScSequence(Mod[3 + (17 * k), 37] + 30, k, 1, 32) → OpSqElement(OpSq, dataset) → OpNm1Element(DtPlSq, Op1) → DtPlMin(XMnYht, XMxYht) → RgLnMnMin(RgLnMn, YDtMn) → YMnMax(XMnYht, XMxYht) → RgLnMxMax(RgLnMx, YDtMx) → YMxIf((5 * YScLB) ≤ YScUB, (5 * YScLB), If[(2 * YScLB) ≤ YScUB, (2 * YScLB), YScLB]) → YAxScLength(DtX0) → SizeSegment(GrOr, GrLR) → grhaxSegment(GrOr, GrUL) → grvaxSegment(RgLnLf, RgLnRt) → grrglnPMCC(DtX0, DtY0) → RSequence(Text[k, (AdpX(k) - 0.8, -2.2)], k, XAxMn, XAxMx, XAxSc) → XAxLbSequence(Text[k, (-5, AdpY(k) - 0.35)], k, YAxMn, YAxMx, YAxSc) → YAxLb_1Sequence(AdpX(Element[DtX0, k]), k, 1, Size) → PltXSequence(AdpY(Element[DtY0, k]), k, 1, Size) → PltYSequence((Element[PltX, k], Element[PltY, k]), k, 1, Size) → DtPntsElement(XAxTtlSq, dataset) → XAxTtlSequence(Segment[(0, AdpY(k)), (XScMx, AdpY(k))], k, YAxMn, YAxMx, YAxSc) → HrzGrdSequence(Segment[(AdpX(k), 0), (AdpX(k), GrTp)], k, XAxMn, XAxMx, XAxSc) → VrtGrdVerticalText(Element[YAxTtlSq, dataset], (-9, 32)) → YAxLbElement(DtX0, seed) → XdtElement(DtY0, seed) → YdtSegment(DtPt, PrdPt) → RsdSegment(DtPtY, DtPt) → YDtLnSegment(PrdPtY, PrdPt) → PrdLnMin(Ydt, YhtDt) → YRsdSegment(YRsdPt, DtPtX) → XdtLnVerticalText("X Value", (AdpX(Xdt) - 1.5, 0)) → XVlLbText("Actual Y Value", (-15, AdpY(Ydt)) - 0.5) → ActYLbText("Predicted Y Value", (-19, AdpY(YhtDt)) - 0.5) → PrdYLbText("Residual", RsdLbPt) → RsdLbl
AI 绘图提示语参考
绘制一个散点图,展示数据点及其残差。首先绘制X轴和Y轴,然后画出数据点,并计算残差。接着画出回归线,标出每个数据点的残差线,最后在X轴上标注X值,在Y轴上标注实际Y值、预测Y值和残差。
以上提示语为根据原始绘图命令整理而来,仅供参考。