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Derivative and Linear Regression

Derivative and Linear Regression
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2018-07-22 06:18
CalculusDerivativeProbability & Statistics
In collections Homothety, Rotation Symmetry -RO
This example illustrates the concepts of derivative and linear regression. Using GeoGebra commands such as Polygon, Segment, and Dilate, it demonstrates how to construct geometric figures. Suitable for high school mathematics, particularly in calculus and statistics.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 4) → poly1, f, g, h, i, C, D
  2. Segment(D, B) → j
  3. Midpoint(j) → E
  4. Polygon(C, A, B) → t1, b, c, a
  5. Point(j) → F
  6. Dilate(C, 5 / 6, F) → C'
  7. Dilate(A, 5 / 6, F) → A'
  8. Dilate(B, 5 / 6, F) → B'
  9. Polygon(C', A', B') → t1', b', c', a'
  10. Dilate(C', 5 / 6, F) → C''
  11. Dilate(A', 5 / 6, F) → A''
  12. Dilate(B', 5 / 6, F) → B''
  13. Polygon(C'', A'', B'') → t1'', b'', c'', a''
  14. Dilate(C'', 5 / 6, F) → C'''
  15. Dilate(A'', 5 / 6, F) → A'''
  16. Dilate(B'', 5 / 6, F) → B'''
  17. Polygon(C''', A''', B''') → t1''', b''', c''', a'''
  18. Dilate(C''', 5 / 6, F) → G
  19. Dilate(A''', 5 / 6, F) → H
  20. Dilate(B''', 5 / 6, F) → I
  21. Polygon(G, H, I) → t2, i_1, g_1, h_1
  22. Dilate(G, 5 / 6, F) → G'
  23. Dilate(H, 5 / 6, F) → H'
  24. Dilate(I, 5 / 6, F) → I'
  25. Polygon(G', H', I') → t2', i', g', h'
  26. Mirror(C, E) → C'_1
  27. Mirror(A, E) → A'_1
  28. Mirror(B, E) → B'_1
  29. Polygon(C'_1, A'_1, B'_1) → t1'_1, b'_1, c'_1, a'_1
  30. Mirror(C', E) → C''_1
  31. Mirror(A', E) → A''_1
  32. Mirror(B', E) → B''_1
  33. Polygon(C''_1, A''_1, B''_1) → t1''_1, b''_1, c''_1, a''_1
  34. Mirror(C'', E) → C'''_1
  35. Mirror(A'', E) → A'''_1
  36. Mirror(B'', E) → B'''_1
  37. Polygon(C'''_1, A'''_1, B'''_1) → t1'''_1, b'''_1, c'''_1, a'''_1
  38. Mirror(C''', E) → J
  39. Mirror(A''', E) → K
  40. Mirror(B''', E) → L
  41. Polygon(J, K, L) → t3, l, j_1, k
  42. Mirror(G, E) → G'_1
  43. Mirror(H, E) → H'_1
  44. Mirror(I, E) → I'_1
  45. Polygon(G'_1, H'_1, I'_1) → t2'_1, i'_1, g'_1, h'_1
  46. Mirror(G', E) → G''
  47. Mirror(H', E) → H''
  48. Mirror(I', E) → I''
  49. Polygon(G'', H'', I'') → t2'', i'', g'', h''
  50. Dilate(G', 5 / 6, F) → G''_1
  51. Dilate(H', 5 / 6, F) → H''_1
  52. Dilate(I', 5 / 6, F) → I''_1
  53. Polygon(G''_1, H''_1, I''_1) → t2''_1, i''_1, g''_1, h''_1
  54. Mirror(G''_1, E) → M
  55. Mirror(H''_1, E) → N
  56. Mirror(I''_1, E) → O
  57. Polygon(M, N, O) → t4, o, m, n