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线性相关性——随机数模拟相关性分析

线性相关性——随机数模拟相关性分析
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2017-07-16 17:39
数列解析几何概率统计函数图像
①本示例展示如何利用随机数生成的数据来演示线性相关性，并计算皮尔逊相关系数。②涉及的核心数学概念包括相关性分析、假设检验与数据可视化。③构造中使用了 RandomUniform 生成随机数，PMCC 计算相关系数，Sort、Element、If 和 TableText 整理并显示结果。④适合高中至大学统计学或数学课程使用。

GeoGebra 命令及参数

  1. RandomUniform(0, 1) → B15
  2. RandomUniform(0, 1) → A15
  3. RandomUniform(0, 1) → B14
  4. RandomUniform(0, 1) → A14
  5. RandomUniform(0, 1) → B13
  6. RandomUniform(0, 1) → A13
  7. RandomUniform(0, 1) → B12
  8. RandomUniform(0, 1) → A12
  9. RandomUniform(0, 1) → B11
  10. RandomUniform(0, 1) → A11
  11. RandomUniform(0, 1) → B10
  12. RandomUniform(0, 1) → A10
  13. RandomUniform(0, 1) → B9
  14. RandomUniform(0, 1) → A9
  15. RandomUniform(0, 1) → B8
  16. RandomUniform(0, 1) → A8
  17. RandomUniform(0, 1) → B7
  18. RandomUniform(0, 1) → A7
  19. RandomUniform(0, 1) → B6
  20. RandomUniform(0, 1) → A6
  21. RandomUniform(0, 1) → B5
  22. RandomUniform(0, 1) → A5
  23. RandomUniform(0, 1) → B4
  24. RandomUniform(0, 1) → A4
  25. RandomUniform(0, 1) → B3
  26. RandomUniform(0, 1) → A3
  27. RandomUniform(0, 1) → B2
  28. RandomUniform(0, 1) → A2
  29. RandomUniform(0, 1) → A1
  30. PMCC(list1) → a
  31. LaTeX(a, true, true) → text1
  32. Sort(list2) → list3
  33. Sort(list1) → list4
  34. Element(list4, 1) → H2
  35. Element(list4, 2) → H3
  36. Element(list4, 3) → H4
  37. Element(list4, 4) → H5
  38. Element(list4, 5) → H6
  39. Element(list4, 6) → H7
  40. Element(list4, 7) → H8
  41. Element(list4, 8) → H9
  42. Element(list4, 9) → H10
  43. Element(list4, 10) → H11
  44. Element(list4, 11) → H12
  45. Element(list4, 12) → H13
  46. Element(list4, 13) → H14
  47. Element(list4, 14) → H15
  48. PMCC(list6) → c
  49. LaTeX(c, true, true) → text4
  50. If(c ≟ 1, "Perfect Positive Correlation", If[0.75 < c < 1, "Strong Positive Correlation", If[0.5 < c < 0.75, "Moderate Positive Correlation", If[0.25 < c < 0.5, "Weak Positive Correlation", If[-0.25 < c < 0.25, "NO CORRELATION!", If[-0.5 < c < -0.25, "Weak Negative Correlation", If[-0.75 < c < -0.5, "Moderate Negative Correlation", If[-1 < c < -0.75, "Strong Negative Correlation", If[c ≟ -1, "Perfect Negative Correlation"]]]]]]]]) → Signo
  51. TableText({{I1, J1}, {I2, J2}, {I3, J3}, {I4, J4}, {I5, J5}, {I6, J6}, {I7, J7}, {I8, J8}, {I9, J9}, {I10, J10}, {I11, J11}, {I12, J12}, {I13, J13}, {I14, J14}, {I15, J15}}, "c_|h") → text2
  52. TableText({{A18, B18}, {A19, B19}, {A20, B20}, {A21, B21}, {A22, B22}, {A23, B23}, {A24, B24}, {A25, B25}, {A26, B26}, {A27, B27}}, "c_|h") → text3

AI 绘图提示语参考

绘制一组随机生成的数据点，并计算它们之间的皮尔逊相关系数。首先生成25组0到1之间的随机数，分别作为x和y坐标，然后计算这些点的皮尔逊相关系数，并将结果转换为LaTeX格式显示。最后，对x和y坐标分别进行排序，并显示排序后的前15个点的坐标。
以上提示语为根据原始绘图命令整理而来，仅供参考。