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UCSS Math I 4.3.3 Example 2: Correlation between Study Time and Test Performance

UCSS Math I 4.3.3 Example 2: Correlation between Study Time and Test Performance
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2014-05-31 02:55
FunctionSequenceCoordinate GeometryProbability & StatisticsGraphing
In collections UCSS Secondary Math I Unit 4 Lesson 3
This example demonstrates how to analyze the correlation between study time and test performance using a scatter plot and a fitted line. The core mathematical concepts include Pearson's correlation coefficient (PMCC), linear regression (least squares fitting), and data visualization. The construction uses GeoGebra commands such as FitLineY to generate the best-fit line, PMCC to compute the correlation coefficient, Textfield for data input, Polygon and Sequence for constructing data points or auxiliary shapes, and Segment and RotateText for annotations and text rotation. It is suitable for high school or introductory college statistics courses to illustrate real-world applications of correlation and regression analysis.

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. Polygon((190, y(Corner[1])), Corner[2], Corner[3], (190, y(Corner[4]))) → poly1, a, b, c, d
  44. Textfield(A22) → InA22
  45. Textfield(A23) → InA23
  46. Textfield(A24) → InA24
  47. Textfield(A25) → InA25
  48. Textfield(A26) → InA26
  49. Textfield(B22) → InB22
  50. Textfield(B23) → InB23
  51. Textfield(B24) → InB24
  52. Textfield(B25) → InB25
  53. Textfield(B26) → InB26
  54. Textfield(A27) → InA27
  55. Textfield(A28) → InA28
  56. Textfield(A29) → InA29
  57. Textfield(A30) → InA30
  58. Textfield(B27) → InB27
  59. Textfield(B28) → InB28
  60. Textfield(B29) → InB29
  61. Textfield(B30) → InB30
  62. Sequence(Segment[(195, (-10) + (7 * i)), (331, (-10) + (7 * i))], i, 0, 15) → Linesh1
  63. Sequence(Segment[(195 + (34 * i), (-10)), (195 + (34 * i), 109)], i, 0, 4) → Linesv1
  64. Segment((195, 109), (331, 109)) → top1
  65. RotateText("Test score", 90*°) → SideLegend

AI Drawing Prompt Reference

Create a scatter plot showing the relationship between study time and test scores, with a fitted line to illustrate the trend. Include the calculated correlation coefficient and text fields for data input. The plot should feature multiple data points, a best-fit line, labeled correlation coefficient, and input fields.
The prompt above was compiled from the original drawing commands and is for reference only.