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Creating a Scatter Plot

Creating a Scatter Plot
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2021-01-25 06:42
Coordinate GeometryProbability & StatisticsGraphing
This example demonstrates how to create a scatter plot using GeoGebra, involving core math concepts like data visualization, coordinate geometry, and probability & statistics. Key GeoGebra commands and objects used include Flatten, Point, Element, UnicodeToLetter, Zip, LaTeX, Vector, Sequence, Polygon, TableText, Join, SelectedElement, RotateText. Suitable for high school students and educators.

GeoGebra Commands & Parameters

  1. Flatten(Sequence[Sequence[(i, j), i, 0, 10, 1], j, 0, 8, 1]) → gridSpace
  2. Point(Union[gridSpace, {homeBase}]) → E
  3. Point(Union[gridSpace, {homeBase}]) → D
  4. Point(Union[gridSpace, {homeBase}]) → C
  5. Point(Union[gridSpace, {homeBase}]) → B
  6. Element(questionList, questionListIndex) → questionNum
  7. Element(H2:H6, questionNum) → yInc
  8. Point(Union[gridSpace, {homeBase}]) → F
  9. Element(G2:G6, questionNum) → xInc
  10. Element(F2:F6, questionNum) → yVals
  11. Element(E2:E6, questionNum) → xVals
  12. Element(D2:D6, questionNum) → depVarWords
  13. Element(C2:C6, questionNum) → indepVarWords
  14. UnicodeToLetter(10007) → xmark
  15. UnicodeToLetter(10003) → cmark
  16. Point(Union[gridSpace, {homeBase}]) → A
  17. Zip((A / xInc, B / yInc), A, xVals, B, yVals) → correctPoints
  18. LaTeX((((("\text{" * QUESTION) * "\\") * INSTRUCTIONS) * "}")) → TEXT
  19. Element(B2:B6, questionNum) → dependentVariable
  20. Element(A2:A6, questionNum) → independentVariable
  21. Vector((0, 0), (0, 9)) → yAxisLine
  22. Vector((0, 0), (11, 0)) → xAxisLine
  23. Sequence(Segment[(-0.2, i), (0.2, i)], i, 1, 8) → yTicks
  24. Sequence(Segment[(i, -0.2), (i, 0.2)], i, 1, 10) → xTicks
  25. Sequence(i, i, xInc, (10 * xInc), xInc) → xTickLabels
  26. Sequence(i, i, yInc, (10 * yInc), yInc) → yTickLabels
  27. Sequence(Text[Element[xTickLabels, i], (i - 0.2, -0.7)], i, 1, 10) → xAxisTickLabels
  28. Sequence(Text[Element[yTickLabels, i], (-1, i - 0.2)], i, 1, 8) → yAxisTickLabels
  29. Polygon({(0, 0), (0, 9), (11, 9), (11, 0)}) → viewBox
  30. TableText({Join[{{(("\cellcolor{#ffcc80}{" * independentVariable) * "}")}, xVals}], Join[{{(("\cellcolor{#ffcc80}{" * dependentVariable) * "}")}, yVals}]}, "|_vc") → data
  31. Zip(Circle[A, 0.3], A, correctPoints) → correctCircles
  32. LaTeX("\text{Points to Plot:}") → pointsLabel
  33. Join({{LaTeX["\text{Choose a label}"]}, Shuffle[{dependentVariable, independentVariable}]}) → axesLabels
  34. SelectedElement(axesLabels) → selectedLabel
  35. RotateText(If[selectedLabel ≟ independentVariable, dependentVariable, If[selectedLabel ≟ dependentVariable, independentVariable, ""]], 90°) → otherLabel
  36. LaTeX((((((("\text{Since the " * indepVarWords) * " may cause\\the ") * depVarWords) * "\\to change, ") * indepVarWords) * " is the\\independent variable which is\\placed on the horizontal axis.}")) → feedbackLabels

AI Drawing Prompt Reference

Create a scatter plot with a grid space and multiple points. The grid space is generated from x coordinates from 0 to 10 and y coordinates from 0 to 8. Points are plotted at the given x and y values on the grid. Also include axis lines, tick marks, and labels. The axis lines extend from the origin to (11,0) and (0,9). Tick marks include x-axis ticks from 1 to 10 and y-axis ticks from 1 to 8. Labels include x-axis tick labels and y-axis tick labels. The plot also includes a data table showing the relationship between x and y values. The overall layout resembles a coordinate system for displaying data points on the grid.
The prompt above was compiled from the original drawing commands and is for reference only.