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Scatter Plots and Residuals

Scatter Plots and Residuals
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2016-02-07 20:42
FunctionProbability & StatisticsGraphing
This applet demonstrates how to create a scatter plot and perform linear regression to minimize the sum of squared errors. Key mathematical concepts include linear regression and residual analysis. It utilizes GeoGebra commands such as Textfield, Line, Intersect, etc. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Textfield(n) → inputBox1
  2. Textfield(P1) → inputBox2
  3. Textfield(P2) → inputBox3
  4. Textfield(P3) → inputBox4
  5. Max(listX) → xMax
  6. Min(listX) → xMin
  7. Max(listY) → yMax
  8. Min(listY) → yMin
  9. Textfield(P4) → inputBox5
  10. Textfield(P5) → inputBox6
  11. Textfield(P6) → inputBox7
  12. Textfield(P7) → inputBox8
  13. Textfield(P8) → inputBox9
  14. Textfield(P9) → inputBox10
  15. Textfield(P10) → inputBox11
  16. Line(A, B) → a
  17. Intersect(a, yAxis) → yInt
  18. OrthogonalLine(P1, xAxis) → v1
  19. OrthogonalLine(P2, xAxis) → v3
  20. OrthogonalLine(P3, xAxis) → v2
  21. OrthogonalLine(P4, xAxis) → v4
  22. OrthogonalLine(P5, xAxis) → v5
  23. OrthogonalLine(P6, xAxis) → v6
  24. OrthogonalLine(P7, xAxis) → v7
  25. Intersect(a, v1) → C
  26. Intersect(a, v3) → D
  27. Intersect(a, v2) → E
  28. Intersect(a, v4) → F
  29. Intersect(a, v5) → G
  30. Intersect(a, v6) → H
  31. Intersect(a, v7) → I
  32. OrthogonalLine(P8, xAxis) → v8
  33. OrthogonalLine(P9, xAxis) → v9
  34. OrthogonalLine(P10, xAxis) → v10
  35. Intersect(a, v8) → J
  36. Intersect(a, v9) → K
  37. Intersect(a, v10) → L
  38. Segment(C, P1) → q
  39. Segment(D, P2) → r
  40. Segment(E, P3) → s
  41. Segment(F, P4) → t
  42. Segment(G, P5) → a_1
  43. Segment(H, P6) → b_1
  44. Segment(I, P7) → c_1
  45. Segment(J, P8) → d_1
  46. Segment(K, P9) → e_1
  47. Segment(L, P10) → f_1
  48. Sum(B1:B2) → C2
  49. Min(listYS) → yMinS
  50. Max(listYS) → yMaxS
  51. Corner(1, 5) → corner5
  52. Polygon(E, P3, (x(P3) - (y(P3) - y(E)) / xycratio / xysratio, y(P3)), (x(P3) - (y(P3) - y(E)) / xycratio / xysratio, y(E))) → poly3T, e_2, p3, k_1, l_1
  53. Polygon(D, P2, (x(P2) - (y(P2) - y(D)) / xycratio / xysratio, y(P2)), (x(P2) - (y(P2) - y(D)) / xycratio / xysratio, y(D))) → poly2T, d_2, p2, m_1, n_1
  54. Polygon(C, P1, (x(P1) - (y(P1) - y(C)) / xycratio / xysratio, y(P1)), (x(P1) - (y(P1) - y(C)) / xycratio / xysratio, y(C))) → poly1T, c_2, p1, p_1, q_1
  55. Polygon(F, P4, (x(P4) - (y(P4) - y(F)) / xycratio / xysratio, y(P4)), (x(P4) - (y(P4) - y(F)) / xycratio / xysratio, y(F))) → poly4T, f_2, p4, r_1, s_1
  56. Polygon(G, P5, (x(P5) - (y(P5) - y(G)) / xycratio / xysratio, y(P5)), (x(P5) - (y(P5) - y(G)) / xycratio / xysratio, y(G))) → poly5T, g_2, p5, t_1, a_2
  57. Polygon(H, P6, (x(P6) - (y(P6) - y(H)) / xycratio / xysratio, y(P6)), (x(P6) - (y(P6) - y(H)) / xycratio / xysratio, y(H))) → poly6T, h_2, p6, b_2, i_2
  58. Polygon(I, P7, (x(P7) - (y(P7) - y(I)) / xycratio / xysratio, y(P7)), (x(P7) - (y(P7) - y(I)) / xycratio / xysratio, y(I))) → poly7T, i_3, p7, j_2, k_2
  59. Polygon(J, P8, (x(P8) - (y(P8) - y(J)) / xycratio / xysratio, y(P8)), (x(P8) - (y(P8) - y(J)) / xycratio / xysratio, y(J))) → poly8T, j_3, p8, l_2, m_2
  60. Polygon(K, P9, (x(P9) - (y(P9) - y(K)) / xycratio / xysratio, y(P9)), (x(P9) - (y(P9) - y(K)) / xycratio / xysratio, y(K))) → poly9T, k_3, p9, n_2, p_2
  61. Polygon(L, P10, (x(P10) - (y(P10) - y(L)) / xycratio / xysratio, y(P10)), (x(P10) - (y(P10) - y(L)) / xycratio / xysratio, y(L))) → poly10T, l_3, p10, q_2, r_2
  62. FitLineY(listP) → bf
  63. Intersect(bf, v1) → BF1
  64. Intersect(bf, v3) → BF2
  65. Intersect(bf, v2) → BF3
  66. Intersect(v4, bf) → BF4
  67. Intersect(bf, v5) → BF5
  68. Intersect(v6, bf) → BF6
  69. Intersect(v7, bf) → BF7
  70. Intersect(v8, bf) → BF8
  71. Intersect(v9, bf) → BF9
  72. Intersect(v10, bf) → BF10
  73. Polygon(BF1, P1, (x(P1) - (y(P1) - y(BF1)) / xycratio / xysratio, y(P1)), (x(P1) - (y(P1) - y(BF1)) / xycratio / xysratio, y(BF1))) → poly1B, bf1, p1_1, h_1, i_1
  74. Polygon(BF2, P2, (x(P2) - (y(P2) - y(BF2)) / xycratio / xysratio, y(P2)), (x(P2) - (y(P2) - y(BF2)) / xycratio / xysratio, y(BF2))) → poly2B, bf2, p2_1, j_1, s_2
  75. Polygon(BF3, P3, (x(P3) - (y(P3) - y(BF3)) / xycratio / xysratio, y(P3)), (x(P3) - (y(P3) - y(BF3)) / xycratio / xysratio, y(BF3))) → poly3B, bf3, p3_1, t_2, a_3
  76. Polygon(BF4, P4, (x(P4) - (y(P4) - y(BF4)) / xycratio / xysratio, y(P4)), (x(P4) - (y(P4) - y(BF4)) / xycratio / xysratio, y(BF4))) → poly4B, bf4, p4_1, b_3, c_3
  77. Polygon(BF5, P5, (x(P5) - (y(P5) - y(BF5)) / xycratio / xysratio, y(P5)), (x(P5) - (y(P5) - y(BF5)) / xycratio / xysratio, y(BF5))) → poly5B, bf5, p5_1, d_3, e_3
  78. Polygon(BF6, P6, (x(P6) - (y(P6) - y(BF6)) / xycratio / xysratio, y(P6)), (x(P6) - (y(P6) - y(BF6)) / xycratio / xysratio, y(BF6))) → poly6B, bf6, p6_1, f_3, g_3
  79. Polygon(BF7, P7, (x(P7) - (y(P7) - y(BF7)) / xycratio / xysratio, y(P7)), (x(P7) - (y(P7) - y(BF7)) / xycratio / xysratio, y(BF7))) → poly7B, bf7, p7_1, h_3, m_3
  80. Polygon(BF8, P8, (x(P8) - (y(P8) - y(BF8)) / xycratio / xysratio, y(P8)), (x(P8) - (y(P8) - y(BF8)) / xycratio / xysratio, y(BF8))) → poly8B, bf8, p8_1, n_3, p_3
  81. Polygon(BF9, P9, (x(P9) - (y(P9) - y(BF9)) / xycratio / xysratio, y(P9)), (x(P9) - (y(P9) - y(BF9)) / xycratio / xysratio, y(BF9))) → poly9B, bf9, p9_1, q_3, r_3
  82. Polygon(BF10, P10, (x(P10) - (y(P10) - y(BF10)) / xycratio / xysratio, y(P10)), (x(P10) - (y(P10) - y(BF10)) / xycratio / xysratio, y(BF10))) → poly10B, bf10, p10_1, s_3, t_3