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Correlation Scatter Plot Construction

Correlation Scatter Plot Construction
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2018-05-09 23:00
SequenceCoordinate GeometryProbability & StatisticsGraphing
This example demonstrates how to construct a scatter plot based on data correlation. It involves core mathematical concepts such as correlation, scatter plots, probability & statistics, planes, translation, intersection, and natural numbers. Key GeoGebra commands and objects used include Sequence, SD (standard deviation), Mean, and If for creating the plot. Suitable for high school students and educators in probability statistics and data analysis.

GeoGebra Commands & Parameters

  1. Sequence(Random[0, 10], n, 1, 20) → Y
  2. SD(Y) → sdy
  3. Mean(Y) → meany
  4. Sequence(Random[0, 10], n, 1, 20) → X
  5. SD(X) → sdx
  6. Mean(X) → meanx
  7. Sequence((X(n) - meanx) / sdx, n, 1, 20) → Xnorm
  8. Sequence((Y(n) - meany) / sdy, n, 1, 20) → Ynorm
  9. Sequence((Xnorm(n), Z(n)), n, 1, 20) → Points
  10. If(r ≠ 1 ∧ r ≠ -1, FitPoly[Points, 1], If[r ≟ 1, (3 * x), (-3 * x)]) → f
  11. Sequence(If[r ≟ 1, (n, (3 * n)), (n, (-3 * n))], n, -3, 3, 0.3) → L_1

AI Drawing Prompt Reference

Create a scatter plot based on 20 pairs of random numbers, where x and y values are from random numbers between 0 and 10. Calculate the mean and standard deviation of x and y, then normalize these values. Finally, fit a line to the normalized points to represent the correlation between the data.
The prompt above was compiled from the original drawing commands and is for reference only.