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Interactive Linear Regression

Interactive Linear Regression
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2020-09-01 01:13
VectorFunctionCoordinate GeometryProbability & Statistics
This interactive linear regression example allows users to visualize how a best‑fit line is constructed from a set of data points. It demonstrates key concepts such as linear regression, arithmetic operations (mean, sum), vector geometry in the plane, coordinate geometry (orthogonal lines and intersections), and residual analysis. The GeoGebra construction uses commands like Line, mean, Sum, OrthogonalLine, Intersect, Segment, and Residual, together with numerous objects (buttons, points, lines) to enable dynamic fitting. It is suitable for high‑school and university students studying statistics, data analysis, and mathematical modeling.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. mean(A2:A16) → A18
  3. mean(B2:B16) → B18
  4. Sum(F2:F16) → F18
  5. Sum(G2:G16) → G18
  6. Line(D, C) → b
  7. OrthogonalLine(O11, xAxis) → c
  8. Intersect(b, c) → E
  9. Segment(E, O11) → d
  10. Residual(O1, b) → e
  11. Residual(O2, b) → f
  12. Residual(O10, b) → g
  13. Residual(O3, b) → h
  14. Residual(O12, b) → i
  15. Residual(O4, b) → j
  16. Residual(O13, b) → k
  17. Residual(O5, b) → l
  18. Residual(O14, b) → m
  19. Residual(O6, b) → n
  20. Residual(O8, b) → p
  21. Residual(O15, b) → q
  22. Residual(O9, b) → r
  23. Residual(O7, b) → s
  24. Residual(O10, a) → t
  25. Residual(O11, a) → a_1
  26. Residual(O1, a) → b_1
  27. Residual(O2, a) → c_1
  28. Residual(O12, a) → d_1
  29. Residual(O3, a) → e_1
  30. Residual(O13, a) → f_1
  31. Residual(O4, a) → g_1
  32. Residual(O14, a) → h_1
  33. Residual(O5, a) → i_1
  34. Residual(O6, a) → j_1
  35. Residual(O15, a) → k_1
  36. Residual(O7, a) → m_1
  37. Residual(O8, a) → n_1
  38. Residual(O9, a) → p_1
  39. Sum(I2:I16) → I18
  40. Sum(J2:J16) → J18