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Linear Regression & Secant/Tangent Function Demo

Linear Regression & Secant/Tangent Function Demo
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2020-05-02 12:01
FunctionCoordinate GeometryCalculusProbability & StatisticsOptimization
This example demonstrates the dynamic behavior of linear regression, secant lines, and tangent functions in a coordinate system. Key math concepts include linear regression, secant, tangent function, statistics, and ellipse. Construction highlights GeoGebra commands like Length, Sequence, FitLineY, Shuffle, TableText, and Join. Suitable for high school students and educators exploring data analysis and function properties.

GeoGebra Commands & Parameters

  1. Length(lx) → n
  2. Sequence((Element[lx, i], Element[ly, i]), i, 1, n) → l1
  3. FitLineY(l1) → f
  4. Sequence(round(f(Element[lx, i]) + ((-1)^(Random[1, 2]) * Random[3, 6]), 0), i, 1, n) → ly1
  5. Sequence((Element[lx, i], Element[ly1, i]), i, 1, n) → l3
  6. Shuffle(l3) → l4, {(160, 104), (167, 108), (148, 100), (185, 113), (173, 117), (206, 121)}
  7. Sequence((Element[ly1, i], Element[lx, i]), i, 1, n) → l2
  8. FitLineY(l2) → g
  9. TableText(lx, ly1, "c") → text1
  10. Join({{"Systolic Pressure x"}, Sequence[x(Element[l4, i]), i, 1, n]}) → l5
  11. Join({{"Diastolic Pressure y"}, Sequence[y(Element[l4, i]), i, 1, n]}) → l6
  12. TableText(l5, l6, "c|_") → text2
  13. FitLineY(l4) → f1
  14. Sequence((Element[l5, i], Element[l6, i]), i, 2, n) → l7