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Class Size and Standardized Test Performance: Linear Fit and Correlation Analysi

Class Size and Standardized Test Performance: Linear Fit and Correlation Analysi
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2012-07-10 21:40
FunctionSequenceCoordinate GeometryProbability & Statistics
In collections CCSS IP Math I Unit 4 Lesson 3
This example demonstrates the possible linear relationship between class size and student performance on standardized tests, using a scatter plot with a fitted regression line to visualize the correlation between two variables. Core mathematical concepts include Pearson’s product-moment correlation coefficient (PMCC), least-squares linear fitting (FitLineY), conditional logic (If), and coordinate representation of data points. Construction-wise, the GeoGebra commands FitLineY, PMCC, Textfield, If, Polygon, Sequence, Segment, and RotateText are employed together with objects A1 through B19 to build the scatter plot, regression line, dynamic text annotations, conditional displays, and auxiliary geometric elements. It is suitable for high school statistics and probability courses, as well as introductory data analysis and correlation visualization exercises.

GeoGebra Commands & Parameters

  1. FitLineY(PointList1) → LineFit
  2. PMCC(PointList1) → CorCoeff
  3. Textfield(A2) → InA2
  4. Textfield(A3) → InA3
  5. Textfield(A4) → InA4
  6. Textfield(A5) → InA5
  7. Textfield(A6) → InA6
  8. Textfield(A7) → InA7
  9. Textfield(A8) → InA8
  10. Textfield(A9) → InA9
  11. Textfield(A10) → InA10
  12. Textfield(A11) → InA11
  13. Textfield(A12) → InA12
  14. Textfield(A13) → InA13
  15. Textfield(A14) → InA14
  16. Textfield(A15) → InA15
  17. Textfield(A16) → InA16
  18. Textfield(A17) → InA17
  19. Textfield(A18) → InA18
  20. Textfield(A19) → InA19
  21. Textfield(A20) → InA20
  22. Textfield(A21) → InA21
  23. Textfield(B2) → InB2
  24. Textfield(B3) → InB3
  25. Textfield(B4) → InB4
  26. Textfield(B5) → InB5
  27. Textfield(B6) → InB6
  28. Textfield(B7) → InB7
  29. Textfield(B8) → InB8
  30. Textfield(B9) → InB9
  31. Textfield(B10) → InB10
  32. Textfield(B11) → InB11
  33. Textfield(B12) → InB12
  34. Textfield(B13) → InB13
  35. Textfield(B14) → InB14
  36. Textfield(B15) → InB15
  37. Textfield(B16) → InB16
  38. Textfield(B17) → InB17
  39. Textfield(B18) → InB18
  40. Textfield(B19) → InB19
  41. Textfield(B20) → InB20
  42. Textfield(B21) → InB21
  43. If(CorVisible, "Hide Correlation Coefficient", "Show Correlation Coefficient") → CorButton
  44. If(LineVisible, "Hide Best Fit Line", "Show Best Fit Line") → LineButton
  45. Polygon((40, y(Corner[1])), Corner[2], Corner[3], (40, y(Corner[4]))) → poly1, a, b, c, d
  46. Sequence(Segment[(41, -1 + (4 * i)), (56, -1 + (4 * i))], i, 0, 10) → Linesh1
  47. Sequence(Segment[(41 + (7.5 * i), -1), (41 + (7.5 * i), 47)], i, 0, 2) → Linesv1
  48. Sequence(Segment[(60.5 + (7.5 * i), -1), (60.5 + (7.5 * i), 47)], i, 0, 2) → Linesv2
  49. Sequence(Segment[(60.5, -1 + (4 * i)), (75.4, -1 + (4 * i))], i, 0, 10) → Linesh2
  50. Segment((41, 47), (56, 47)) → top1
  51. Segment((60.5, 47), (75.5, 47)) → top2
  52. RotateText("Average test score", 90*°) → SideLegend

AI Drawing Prompt Reference

Create a scatter plot showing the relationship between class size and standardized test scores with about twenty data points, a least‑squares regression line, a text label displaying the Pearson correlation coefficient, and two toggle buttons to show or hide the correlation value and the fitted line; on the right side add a rectangular panel containing horizontal and vertical grid lines.
The prompt above was compiled from the original drawing commands and is for reference only.