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Linear Regression & Geometry Interactive Demo

Linear Regression & Geometry Interactive Demo
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2020-07-05 17:27
FunctionCoordinate GeometryProbability & StatisticsGeometric ConstructionGraphing
This example demonstrates the integration of linear regression models with geometric figures (like trapezoids, angles) through interactive GeoGebra constructions. It covers core math concepts including linear regression, function graphing, statistics, and residual analysis. GeoGebra commands like RandomElement, Random, Sequence, Length, ResidualPlot, PMCC, FitLineY, etc., are used in its construction, making it suitable for high school and above mathematics education and data analysis introduction.

GeoGebra Commands & Parameters

  1. RandomElement({1 / 3, 1 / 3}) → m
  2. Random(33, 37) → c
  3. Sequence(40, 60, 5) → lx
  4. Length(lx) → nx
  5. Sequence((Element[lx, i], f(Element[lx, i])), i, 1, nx) → l5
  6. Sequence(round(y(Element[l5, i]) + ((-1)^(Random[1, 2]) * Random[0, 1])), i, 1, nx) → ly1
  7. Sequence((Element[lx, i], Element[ly1, i]), i, 1, nx) → l1
  8. Random(0, 10) → a
  9. ResidualPlot(l1, f) → l2
  10. Sequence(y(Element[l2, i]), i, 1, nx) → l3
  11. Sequence(Element[l3, i]^(2), i, 1, nx) → l4
  12. Sum(l4) → b
  13. Sequence(Segment[Element[l1, i], Element[l5, i]], i, 1, nx) → l6
  14. PMCC(l1) → d
  15. RandomElement({30, 35, 65}) → e
  16. FitLineY(l1) → g
  17. Join({{"x, km/h"}, lx}) → l8
  18. Join({{"y, km/litre"}, ly1}) → l9
  19. TableText(l8, l9, "c|_") → text4
  20. TableText(l7) → text9
  21. Midpoint(Element[l7, 1], Element[l7, 2]) → A

AI Drawing Prompt Reference

Create an interactive demo showing linear regression with geometric figures. Include randomly generated slope and intercept, display data points, fitted line, and residual plot. Highlight key statistics like PMCC, connect data points to form shapes, and label all elements clearly.
The prompt above was compiled from the original drawing commands and is for reference only.