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Hourly Temperature After Sunrise: Scatter Plot and Linear Modeling

Hourly Temperature After Sunrise: Scatter Plot and Linear Modeling
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2012-07-10 21:36
FunctionSequenceCoordinate GeometryDerivativeGraphing
In collections CCSS IP Math I Unit 4 Lesson 2
This example demonstrates a scatter plot of hourly temperature recorded after sunrise on a May morning, fitting linear and exponential functions to the data, and calculating the derivative of temperature change. In GeoGebra, the Corner command creates data points, Polygon draws the fitting shape, Textfield adds titles and labels, Sequence generates the time series, Line draws the linear regression, and VerticalText displays temperature values. It is suitable for high school or early university students learning coordinate geometry, function fitting, and differential analysis.

GeoGebra Commands & Parameters

  1. Corner(2) → Corn2
  2. Corner(3) → Corn3
  3. Polygon(Corn1, Corn2, Corn3, Corn4) → poly1, corn1, corn2, corn3, corn4
  4. Textfield(A2) → InA2
  5. Textfield(A3) → InA3
  6. Textfield(A4) → InA4
  7. Textfield(A5) → InA5
  8. Textfield(A6) → InA6
  9. Textfield(A7) → InA7
  10. Textfield(A8) → InA8
  11. Textfield(A9) → InA9
  12. Textfield(B9) → InB9
  13. Textfield(B8) → InB8
  14. Textfield(B7) → InB7
  15. Textfield(B6) → InB6
  16. Textfield(B5) → InB5
  17. Textfield(B4) → InB4
  18. Textfield(B3) → InB3
  19. Textfield(B2) → InB2
  20. Sequence(Segment[(9.5, 10 + (6.5 * j)), (12.2, 10 + (6.5 * j))], j, 0, 9) → LnList
  21. Sequence(Segment[(9.5 + (1.35 * j), 10), (9.5 + (1.35 * j), 68.5)], j, 0, 2) → LnList2
  22. Line(I, J) → FitLine
  23. VerticalText("\text{Temperature (}°\text{F)}") → DownLegend

AI Drawing Prompt Reference

Please draw a scatter plot of hourly temperature recorded after sunrise on a May morning, with linear and exponential function fitting. The graph should include data points, fitted curves, and the derivative of temperature change. Add titles and labels, generate the time series, draw the linear regression line, and display temperature values. Suitable for high school or early university students learning coordinate geometry, function fitting, and differential analysis.
The prompt above was compiled from the original drawing commands and is for reference only.