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Time Series Analysis Applet

Time Series Analysis Applet
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2013-12-30 02:58
FunctionGraphing
In collections Charts & Graphs
This example demonstrates various time series graphs and challenges students to estimate the percentage change between given time periods. It involves core mathematical concepts such as statistics, straight lines, exponential functions, and random variables. The construction utilizes GeoGebra commands like Element, CountIf, Max, Min, If, Sequence, Segment, Text, and objects including GrBt, GrLf, DtY19, etc. It is suitable for high school students and mathematicians studying time series analysis and related topics.

GeoGebra Commands & Parameters

  1. Element(DtYSq, Graph) → DtY
  2. CountIf(x ≠ (0, 0), DtY) → Size
  3. Max(DtY) → YDtMx
  4. Min(DtY) → YDtMn
  5. If((5 * LBSY) ≤ UBSY, (5 * LBSY), If[(2 * LBSY) ≤ UBSY, (2 * LBSY), LBSY]) → YScl
  6. Sequence(Mod[2 + (5 * k), Size - 1] + 1, k, 1, Size - 1) → OpSq
  7. Element(OpSq, Seed) → Opt
  8. Element(DtY, Opt + 1) → Val2
  9. Element(DtY, Opt) → Val1
  10. Element(DtXSq, Graph) → DtX
  11. Segment((-1.414, -1.414), (0, 0)) → llsg
  12. Segment(GrBL, GrBR) → hax
  13. Segment(GrBL, GrTL) → vax
  14. Sequence((((k - 1) * XScl), AdpY(Element[DtY, k])), k, 1, Size) → PtSq
  15. Element(VTtSq, Graph) → VL2
  16. Element(DDSq, Graph) → DD
  17. Element(TtSq, Graph) → Title
  18. Element(DtX, Opt) → Time1
  19. Element(DtX, Opt + 1) → Time2
  20. Element(SbSq, Graph) → Subject
  21. Element(UntSq, Graph) → Unit
  22. If(Val1 < Val2, "increase", If[Val1 > Val2, "decrease", "change"]) → Dir
  23. Sequence(Segment[Element[PtSq, k - 1], Element[PtSq, k]], k, 2, Size) → SgSq
  24. Sequence(Segment[((k * XScl), (-0.4)), ((k * XScl), 0.4)], k, 0, Size - 1) → XTcSq
  25. If(Graph ≟ 4, "the ", "") → Article
  26. If(Graph ≟ 1 ∧ ((Opt < 5) ∨ (Opt > 7)), "", ".") → Punc1
  27. If(Graph ≟ 1 ∧ ((Opt < 4) ∨ (Opt > 6)), "", ".") → Punc2
  28. Sequence(Segment[(0, AdpY(k)), (GrRt, AdpY(k))], k, YAxMn, YAxMx, YScl) → HGrds
  29. Sequence(Text[k, ((-5), AdpY(k) - 0.5)], k, YAxMn, YAxMx, YScl) → YLbSq
  30. Sequence(Text[Element[DtX, k], (((k - 1) * XScl) - 1, (-2.5))], k, 1, Size) → XLbSq
  31. Text(Element[HTtSq, Graph], (27, -5)) → HLb

AI Drawing Prompt Reference

Create a time series analysis graph showing data points and trends. Include X and Y axes with time labels on the X-axis and numerical values on the Y-axis. Draw lines connecting the data points to illustrate trends, using different colors or markers to indicate increases and decreases. Add a title and descriptive text below the graph, noting the data source and units.
The prompt above was compiled from the original drawing commands and is for reference only.