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H2M L18 Q3

H2M L18 Q3
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2020-05-02 17:40
CalculusProbability & Statistics
This example demonstrates how to solve statistical problems using linear regression analysis. Key concepts include correlation, linear regression, and pattern recognition. Using GeoGebra commands such as Sort and FitLineY, a linear model for the data points can be constructed. Suitable for high school math learners and educators.

GeoGebra Commands & Parameters

  1. Sort(Sample[l4, Random[6, 9], false]) → l5
  2. Length(lx) → n
  3. Sequence((Element[lx, i], Element[ly, i]), i, 1, n) → l1
  4. FitLineY(l1) → f
  5. Sequence((Element[ly1, i], Element[lx, i]), i, 1, n) → l6
  6. FitLineY(l6) → i
  7. Sum(lx) → smx
  8. Sequence((Element[lx, i], Element[ly1, i]), i, 1, n) → l2
  9. FitLineY(l2) → f1
  10. Simplify((round(Slope[f1], 3) * x) + round(f1(0), 2)) → g
  11. Join({{"x"}, lx}) → lx1
  12. Join({{"y"}, ly1}) → ly3
  13. Join({{"y"}, Take[ly1, 1, n - 2], {"m"}, {Element[ly1, n]}}) → ly2
  14. TableText(lx1, ly2, "c|_") → text1
  15. Solutions(h = a) → l3
  16. Slope(i) → mx
  17. Intersect(g, xAxis) → A
  18. Intersect(eq1, xAxis) → B

AI Drawing Prompt Reference

Plot a set of scattered data points, then add two linear regression lines. First, randomly select a subset of the original points, sort them by x-coordinate, and display as scatter points. Then, perform linear regression on these points to get a fitted line. Next, swap the x and y coordinates of the points)Skip, perform regression on the swapped points to get another line. Finally, show both lines on the coordinate plane, mark their intersections with the x-axis, and display a table of the original and modified data, including one outlier replaced by the letter m.
The prompt above was compiled from the original drawing commands and is for reference only.