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Interactive Linear Regression by Shayne A Stedman

Interactive Linear Regression by Shayne A Stedman
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2020-03-29 18:33
Coordinate GeometryProbability & StatisticsGraphing
This example demonstrates the process of linear regression. By adjusting the position of data points, observe how the linear regression line changes. Key mathematical concepts include linear regression, residuals, and confidence intervals. GeoGebra commands used include Line, mean, Sum, OrthogonalLine, Intersect, Segment, and Residual. Suitable for high school mathematics education and learning.

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