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Sample P - Correlation

Sample P - Correlation
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2016-12-14 15:53
Coordinate GeometryProbability & Statistics
This example demonstrates the correlation between two variables. Key mathematical concepts include correlation analysis. The construction uses commands like MeanY, MeanX, OrthogonalLine, etc. Suitable for high school math education and learning correlation analysis.

GeoGebra Commands & Parameters

  1. MeanY({A, B, C, D, E, F, G, H, I, J, K, L}) → q
  2. MeanX({A, B, C, D, E, F, G, H, I, J, K, L}) → o
  3. OrthogonalLine(A, b) → c
  4. OrthogonalLine(B, b) → d
  5. OrthogonalLine(C, b) → e
  6. OrthogonalLine(D, b) → f
  7. OrthogonalLine(E, b) → g
  8. OrthogonalLine(F, b) → h
  9. OrthogonalLine(G, b) → i
  10. OrthogonalLine(G, b) → j
  11. OrthogonalLine(H, b) → k
  12. OrthogonalLine(I, b) → l
  13. OrthogonalLine(J, b) → m
  14. OrthogonalLine(K, b) → n
  15. OrthogonalLine(L, b) → p
  16. Intersect(b, c) → M
  17. Intersect(b, d) → N
  18. Intersect(b, e) → O
  19. Intersect(b, f) → P
  20. Intersect(b, g) → Q
  21. Intersect(b, h) → R
  22. Intersect(a, b) → S
  23. Intersect(b, i) → T
  24. Intersect(b, k) → U
  25. Intersect(b, l) → V
  26. Intersect(b, m) → W
  27. Intersect(b, p) → Z
  28. Segment(A, M) → A_y
  29. Segment(B, N) → B_y
  30. Segment(C, O) → C_y
  31. Segment(D, P) → D_y
  32. Segment(E, Q) → E_y
  33. Segment(F, R) → F_y
  34. Segment(T, G) → G_y
  35. Segment(U, H) → H_y
  36. Segment(V, I) → I_y
  37. Segment(W, J) → J_y
  38. Segment(Z, L) → L_y
  39. OrthogonalLine(A, a) → i_1
  40. OrthogonalLine(A, a) → j_1
  41. OrthogonalLine(B, a) → k_1
  42. OrthogonalLine(C, a) → l_1
  43. OrthogonalLine(D, a) → m_1
  44. OrthogonalLine(E, a) → n_1
  45. OrthogonalLine(F, a) → p_1
  46. OrthogonalLine(G, a) → q_1
  47. OrthogonalLine(H, a) → r_1
  48. OrthogonalLine(I, a) → s_1
  49. OrthogonalLine(J, a) → t_1
  50. OrthogonalLine(L, a) → a_2
  51. OrthogonalLine(K, a) → b_2
  52. Intersect(a, k_1) → A_1
  53. Intersect(a, i_1) → B_1
  54. Intersect(a, l_1) → C_1
  55. Intersect(a, m_1) → D_1
  56. Intersect(a, n_1) → E_1
  57. Intersect(a, q_1) → F_1
  58. Intersect(a, p_1) → G_1
  59. Intersect(a, r_1) → H_1
  60. Intersect(a, s_1) → I_1
  61. Intersect(a, t_1) → J_1
  62. Intersect(a, b_2) → K_1
  63. Segment(B, A_1) → B_x
  64. Segment(A, B_1) → A_x
  65. Segment(C, C_1) → C_x
  66. Segment(D, D_1) → D_x
  67. Segment(E, E_1) → E_x
  68. Segment(G, F_1) → G_x
  69. Segment(F, G_1) → F_x
  70. Segment(H, H_1) → H_x
  71. Segment(I_1, I) → I_x
  72. Segment(J_1, J) → J_x
  73. Segment(K_1, K) → K_x
  74. Intersect(a, b) → Mean
  75. OrthogonalLine(K, b) → r
  76. OrthogonalLine(L, a) → s
  77. Intersect(a, s) → L_1
  78. Intersect(b, r) → M_1
  79. Segment(L, L_1) → t
  80. Segment(K, M_1) → f_1
  81. Sum(B2:B13) → B14
  82. Sum(C2:C13) → C14
  83. Sum(D2:D13) → D14
  84. Sum(E2:E13) → E14
  85. Sum(F2:F13) → F14

AI Drawing Prompt Reference

Draw a coordinate system with 10 points, calculate their x and y coordinate averages, and draw vertical lines through these averages. Then, draw perpendicular lines from each point to the x-axis and find their intersections with the x-axis. Finally, connect each point to its corresponding intersection to show the correlation between variables.
The prompt above was compiled from the original drawing commands and is for reference only.