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Step Through Scatter Plot Construction

Step Through Scatter Plot Construction
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2014-06-03 02:38
CalculusGeometric ConstructionGraphing
In collections Statistics Step Through Applets
This example demonstrates how to construct scatter diagrams by varying data types, sample sizes, and subsets. It involves core math concepts like statistical analysis, standard deviation, and function graphing (hyperbolas, trigonometric functions). Construction highlights include commands like Element, Sequence, Max, Min, If, Segment, Text, and objects such as CW, DtStr, GL, GR, GB. Ideal for high school students and math enthusiasts exploring statistics, calculus, and coordinate geometry.

GeoGebra Commands & Parameters

  1. Element(SmpRtSq, Mod[seed, 6] + 1) → SmpRt
  2. Element(DtXSq, data) → DtX1
  3. Sequence(Element[DtX1, Mod[Strt + (k * SmpRt), 15] + 1], k, 0, size - 1) → DtX2
  4. Max(DtX2) → XMax
  5. Min(DtX2) → XMin
  6. If((5 * LBSX) ≤ UBSX, (5 * LBSX), If[(2 * LBSX) ≤ UBSX, (2 * LBSX), LBSX]) → XScl
  7. Element(DtYSq, data) → DtY1
  8. Sequence(Element[DtY1, Mod[Strt + (k * SmpRt), 15] + 1], k, 0, size - 1) → DtY2
  9. Min(DtY2) → YMin
  10. Max(DtY2) → YMax
  11. Segment(Origin, HAE) → HAx
  12. Segment(Origin, VAE) → VAx
  13. If((5 * LBSY) ≤ UBSY, (5 * LBSY), If[(2 * LBSY) ≤ UBSY, (2 * LBSY), LBSY]) → YScl
  14. Sequence(AdpX(Element[DtX2, k]), k, 1, size) → PltX
  15. Sequence(AdpY(Element[DtY2, k]), k, 1, size) → PltY
  16. Sequence((Element[PltX, k], Element[PltY, k]), k, 1, size) → DtPnts
  17. Segment(UL, UR) → TbTp
  18. Segment(ML, MR) → TBMd
  19. Segment(LL, LR) → TbBt
  20. Segment(LL, UL) → Left
  21. Segment(LM, UM) → DatLeft
  22. Sequence(Segment[(AdpX(k), GB - 0.5), (AdpX(k), GB + 0.5)], k, XAxMin, XAxMax, XScl) → XTc
  23. Sequence(Text[k, (AdpX(k) - 1, GB - 2.5)], k, XAxMin, XAxMax, XScl) → XLbs
  24. Sequence(Segment[(GL - 0.5, AdpY(k)), (GL + 0.5, AdpY(k))], k, YAxMn, YAxMx, YScl) → YTc
  25. Element(XVSq1, data) → XAxLb
  26. Element(YVSq1, data) → YAxLb
  27. Text(Element[XVSq1, data], (DtStr - 11.65, DtHgt - 1.9)) → XVTx1
  28. Text(Element[YVSq1, data], (DtStr - 11.65, DtHgt - 4.4)) → YVTx1
  29. Sequence(Segment[(DtStr + 6.2 + (k * CW), DtHgt), (DtStr + 6.2 + (k * CW), DtHgt - 5)], k, 1, size) → DvLn
  30. Sequence(Text[Element[DtY2, k], (DtStr + 0.7 + (CW * k), DtHgt - 4.4)], k, 1, size) → YDtTxt
  31. Sequence(Text[Element[DtX2, k], (DtStr + 0.7 + (CW * k), DtHgt - 1.9)], k, 1, size) → XDtTxt
  32. Element(DDSq, data) → DD
  33. Element(XVSq2, data) → XVTx2
  34. Element(YVSq2, data) → YVTx2
  35. Sequence(Text[k, ((-3), AdpY(k) - 0.35)], k, YAxMn, YAxMx, YScl) → YLbs
  36. Element(TtlSq, data) → Ttl

AI Drawing Prompt Reference

Create a scatter plot with X-axis and Y-axis ranging from XMin to XMax and YMin to YMax respectively. Mark the axes with ticks and labels, where the X-axis label is XAxLb and the Y-axis label is YAxLb. The scatter plot consists of points generated from DtX2 and DtY2, with coordinates AdpX and AdpY. Above the plot, there is a title Ttl, and vertical and horizontal dividing lines on the left and right sides. The X-axis and Y-axis have tick lines XTc and YTc, and corresponding tick labels XLbs and YLbs.
The prompt above was compiled from the original drawing commands and is for reference only.