Ch 12 &13

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  1. Analysis of Variance (ANOVA)
    A procedure used to test the Null Hypothesis that the means of three of more populations are equal.
  2. The grand mean for all k-samples is
    Image Upload 1
  3. SST, SSB AND SSW must always be...
    positive, since it's they're the sum of squares
  4. The point estimator for the unknown common variance σk2 is
    Mean Square within (MSW)
  5. Assumptions for ANOVA
    • a. k-samples are random and independent
    • b.Each of the k-samples came from a normal population
    • c. σ21, σ22, σ23, ,σ2k are unknown but equal
  6. The Statistical Linear Regression model is
    Image Upload 2
  7. SSxx or SSyy must always be...
  8. Sxy can be...
    positive or negative
  9. To Construct a (1-Image Upload 3)100% Confidence Interval for unknown B, use
    Image Upload 4 , where Image Upload 5
  10. When solving for b in the estimated regression model...
    write the equation out in general form first. If there it is "a-bx" that means "a+(-b)x" which implies b is negative
  11. The population correlation
    denoted by Image Upload 6 and defined as the strength of the relationship between two variables, x&y.
  12. The sample correlation
    denoted by r. Since the population correlation Rho is usually unknown, the point estimator of the population correlation is the sample correlation r.
  13. The range for Image Upload 7 is
  14. if r~1
    we have a perfect relationship between x&y in a positive way. That is, if x increases, y increases.
  15. if r~-1
    if x increases, y decreases. Or if x decreases, y increases
  16. if r~0
    the variables x&y are not related
  17. Coefficient of Determination
    denoted by Image Upload 8 for the population and r2 for the sample. But Image Upload 9 or Image Upload 10 is usually unknown. The coefficient of determination for the samples represents the % of variation in the dependent variable y, explained by the independent variable (x) in the extimated least squares regression model ŷImage Upload 11. The higher the value of r2 the better it is.
  18. The test statistic for Ho: Image Upload 12 is
    Image Upload 13
  19. If no value of Image Upload 14 is given, use
    Image Upload 15
  20. For sample correlation r, approximately equal to 1...
    r≈1 for values of r>80% or .8
Card Set
Ch 12 &13
Last bit of Intro Stats II before the final
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