Tests for Significant Correlation: Writing Conclusions

Tests for Significant Correlation: Writing Conclusions
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2016-11-03 02:10
This example demonstrates how to use significance tests to determine the correlation between two variables and write conclusions. Key mathematical concepts include correlation testing and hypothesis testing. GeoGebra commands used include Sequence, Element, Length, Min, Max, If, Segment, PMCC, and Text. Suitable for high school and above students or teachers.

GeoGebra Commands & Parameters

  1. Sequence(Mod[3 + (17 * k), 37] + 30, k, 1, 32) → OpSq
  2. Element(OpSq, seed) → Nmb1
  3. Element(DtXSq, Chc1) → DtX0
  4. Length(DtX0) → Size
  5. Element(DtPlSq, Chc1) → DtPl
  6. Element(DtYSq, Chc1) → DtY0
  7. Min(DtY0) → YMin
  8. Max(DtY0) → YMax
  9. Min(DtX0) → XMn
  10. Max(DtX0) → XMx
  11. If((5 * XScLB) ≤ XScUB, (5 * XScLB), If[(2 * XScLB) ≤ XScUB, (2 * XScLB), XScLB]) → XAxSc
  12. If((5 * YScLB) ≤ YScUB, (5 * YScLB), If[(2 * YScLB) ≤ YScUB, (2 * YScLB), YScLB]) → YAxSc
  13. Segment(DtUL, DtUR) → dttp
  14. Segment(DtML, DtMR) → dtmd
  15. Segment(DtLL, DtLR) → dtbt
  16. Segment(DtLL, DtUL) → dtlf
  17. PMCC(DtX0, DtY0) → R
  18. If(RgLnSlp < 0, " - ", " + ") → Sgn
  19. Element(CnfSq, Chc2) → Conf
  20. If(PVl < 1.0E-4, "< 0.0001", ("= " * PVl)) → PVlTx
  21. Sequence(AdpX(Element[DtX0, k]), k, 1, Size) → PltX
  22. Sequence(AdpY(Element[DtY0, k]), k, 1, Size) → PltY
  23. Sequence(Segment[(DtStr + 1.1 + (k * DtCW), DtLv), (DtStr + 1.1 + (k * DtCW), DtLv - (2 * DtCH))], k, 0, Size) → DtDvLn
  24. Sequence(Text[Element[DtX0, k], (DtStr - 4.5 + (DtCW * k), DtLv - DtCH + 0.4)], k, 1, Size) → XDtVls
  25. Sequence(Text[Element[DtY0, k], (DtStr - 4.5 + (DtCW * k), DtLv - (2 * DtCH) + 0.4)], k, 1, Size) → YDtVls
  26. Text(Element[XAxTtlSq, Chc1], (DtStr - 23.65, DtLv - 1.9)) → XVals
  27. Text(Element[YAxTtlSq, Chc1], (DtStr - 23.65, DtLv - 4.6)) → YVals
  28. If(PVl < α, "reject", "keep") → KoR
  29. If(PVl < α, "is", "is not") → IoN
  30. If(PVl < α, "less than", "not less than") → LoN