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Vertical Fitting

Vertical Fitting
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2019-02-26 17:15
Coordinate GeometryProbability & Statistics
This example demonstrates vertical fitting to analyze data points. Key mathematical concepts include vertical distance and least squares method in statistics. The construction uses commands like Line, OrthogonalLine, Intersect, Segment, Sum, and FitLineY. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. OrthogonalLine(C, a) → b
  3. OrthogonalLine(D, a) → c
  4. OrthogonalLine(E, a) → d
  5. OrthogonalLine(F, a) → e
  6. OrthogonalLine(G, a) → f
  7. OrthogonalLine(H, a) → g
  8. OrthogonalLine(I, a) → h
  9. Intersect(a, b) → J
  10. Intersect(a, c) → K
  11. Intersect(a, d) → L
  12. Intersect(a, e) → M
  13. Intersect(a, f) → N
  14. Intersect(a, g) → O
  15. Intersect(a, h) → P
  16. Segment(C, J) → i
  17. Segment(D, K) → j
  18. Segment(L, E) → k
  19. Segment(F, M) → l
  20. Segment(G, N) → m
  21. Segment(H, O) → n
  22. Segment(P, I) → p
  23. Sum(L_2) → sum
  24. FitLineY(L_3) → q
  25. Line(Q, R) → r
  26. OrthogonalLine(C, xAxis) → s
  27. OrthogonalLine(E, xAxis) → t
  28. OrthogonalLine(D, xAxis) → a_1
  29. OrthogonalLine(F, xAxis) → b_1
  30. OrthogonalLine(G, xAxis) → c_1
  31. OrthogonalLine(H, xAxis) → d_1
  32. OrthogonalLine(I, xAxis) → e_1
  33. Intersect(r, s) → S
  34. Intersect(r, t) → T
  35. Intersect(r, a_1) → U
  36. Intersect(r, b_1) → V
  37. Intersect(r, c_1) → W
  38. Intersect(r, d_1) → Z
  39. Intersect(r, e_1) → A_1
  40. Segment(C, S) → f_1
  41. Segment(E, T) → g_1
  42. Segment(D, U) → h_1
  43. Segment(F, V) → i_1
  44. Segment(G, W) → j_1
  45. Segment(H, Z) → k_1
  46. Segment(I, A_1) → l_1
  47. Sum(L_5) → sum_2