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相关系数与回归线

相关系数与回归线
几何画板及绘图内容加载中，请稍等……
2014-11-24 18:17
函数解析几何概率统计
①本范例演示了随机生成数据集的相关系数系数与回归线图形；②涉及的核心数学概念包括相关系数、回归分析、数据统计；③作图要点提炼自构造摘要，使用了Random, Sequence, FitLineY, PMCC等GeoGebra命令与对象；④适合高中数学教学，用于理解数据分布与线性回归模型的应用。

GeoGebra 命令及参数

  1. Random(1, 2) → d
  2. Random(1, 2) → a
  3. Random(2, 8) → c
  4. Random(1, 2) → b
  5. Sequence(Random[0, 100], i, 1, 10) → Randlist
  6. Min(Randlist) → Least
  7. Max(Randlist) → Most
  8. Median(Randlist) → Med
  9. Q1(Randlist) → Q_1
  10. Q3(Randlist) → Q_3
  11. Sort(Randlist) → Sorted
  12. Segment((Least, 2), (Least, 4)) → minseg
  13. Segment((Least, 3), (Q_1, 3)) → Tailseg
  14. Segment((Q_1, 2), (Q_1, 4)) → q1seq
  15. Segment((Q_3, 2), (Q_3, 4)) → q3seq
  16. Segment((Q_1, 2), (Q_3, 2)) → midsegbottom
  17. Segment((Q_1, 4), (Q_3, 4)) → midsegtop
  18. Segment((Most, 2), (Most, 4)) → maxseg
  19. Segment((Most, 3), (Q_3, 3)) → headseg
  20. Segment((Med, 2), (Med, 4)) → medseg
  21. FrequencyTable(classlist, Randlist) → freq
  22. Frequency(true, classlist, Sorted) → CFreq
  23. PointList(Sequence[{Element[classlist, i], Element[CFreq, i]}, i, 1, 20]) → Ogivepoints
  24. Sequence({(i * a) + Random[0, c], (25 * (d - 1)) + ((-1)^(d + 1) * ((i * b) + Random[0, c]))}, i, 1, 10) → BVDSet
  25. PointList(BVDSet) → BVDPoints
  26. FitLineY(BVDPoints) → bfl
  27. Function(((-(x(bfl) / y(bfl))) * x) - z(bfl) / y(bfl), 0, 100) → bflfn
  28. PMCC(BVDPoints) → cc
  29. Corner(1, 1) → Cnr1
  30. Corner(1, 2) → Cnr2
  31. Corner(1, 3) → Cnr3
  32. Corner(1, 4) → Cnr4
  33. Polygon(CN1, CN2, CN3, CN4) → Panel, cn1, cn2, cn3, cn4