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Correlation Comparison

Correlation Comparison
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2018-05-02 18:52
TrigonometryCoordinate GeometryParametric Equation
This example demonstrates how to compare the correlation between two data sets. Key mathematical concepts include correlation coefficient, intersection, ratios, cosine, parametric curves, and similarity transformation. Using GeoGebra commands such as PMCC, Intersect, Segment, and Point, the example constructs visual representations of these concepts. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. PMCC({A, B, C, D, E, F, G, H, I, J}) → a
  2. PMCC({K, L, M, N, O, P, Q, R, S, T}) → b
  3. PMCC({G_1, H_1, I_1, J_1, K_1, L_1, M_1, N_1, O_1, P_1}) → d
  4. PMCC({U, V, W, Z, A_1, B_1, C_1, D_1, E_1, F_1}) → c
  5. PMCC({Q_1, R_1, S_1, T_1, U_1, V_1, W_1, Z_1, A_2, B_2}) → e
  6. PMCC({C_2, D_2, E_2, F_2, G_2, H_2, I_2, J_2, K_2, L_2}) → m
  7. PMCC({M_2, N_2, O_2, P_2, Q_2, R_2, S_2, T_2, U_2, V_2}) → n
  8. PMCC({W_2, Z_2, A_3, B_3, C_3, D_3, E_3, F_3, G_3, H_3}) → o
  9. PMCC({I_3, J_3, K_3, L_3, M_3, N_3, O_3, P_3, Q_3, R_3}) → p
  10. PMCC({S_3, T_3, U_3, V_3, W_3, Z_3, A_4, B_4, C_4, D_4}) → q
  11. PMCC({E_4, F_4, G_4, H_4, I_4, J_4, K_4, L_4, M_4, N_4}) → r
  12. PMCC({O_4, P_4, Q_4, R_4, S_4, T_4, U_4, V_4, W_4, Z_4}) → s
  13. PMCC({A_5, B_5, C_5, D_5, E_5, F_5, G_5, H_5, I_5, J_5}) → t
  14. PMCC({K_5, L_5, M_5, N_5, O_5, P_5, Q_5, R_5, S_5, T_5}) → u
  15. PMCC({U_5, V_5, W_5, Z_5, A_6, B_6, C_6, D_6, E_6, F_6}) → v
  16. PMCC({G_6, H_6, I_6, J_6, K_6, L_6, M_6, N_6, O_6, P_6}) → w
  17. PMCC({Q_6, R_6, S_6, T_6, U_6, V_6, W_6, Z_6, A_7, B_7}) → a_1
  18. PMCC({C_7, D_7, E_7, F_7, G_7, H_7, I_7, J_7, K_7, L_7}) → b_1
  19. PMCC({W_7, Z_7, A_8, B_8, C_8, D_8, E_8, F_8, G_8, H_8}) → c_1
  20. PMCC({M_7, N_7, O_7, P_7, Q_7, R_7, S_7, T_7, U_7, V_7}) → d_1
  21. Intersect(xAxis, yAxis) → I_8
  22. Segment(I_8, J_8) → f
  23. Segment(K_8, L_8) → g
  24. Point(yAxis) → M_8
  25. Segment(M_8, N_8) → h
  26. Point(yAxis) → O_8
  27. Segment(O_8, P_8) → i
  28. Point(yAxis) → Q_8
  29. Segment(Q_8, R_8) → j
  30. Point(yAxis) → S_8
  31. Segment(S_8, T_8) → k
  32. Segment(I_8, S_8) → l
  33. Segment(J_8, T_8) → f_1
  34. Segment(U_8, V_8) → g_1
  35. Segment(W_8, Z_8) → h_1
  36. Segment(A_9, B_9) → i_1