# Ch 12 &13

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 Author: Jamie_Bee ID: 279932 Filename: Ch 12 &13 Updated: 2014-07-30 11:27:40 Tags: IntroStatsII Folders: Description: Last bit of Intro Stats II before the final Show Answers:

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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
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
7. SSxx or SSyy must always be...
positive
8. Sxy can be...
positive or negative
9. To Construct a (1-)100% Confidence Interval for unknown B, use
, where
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 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 is
-1<r<1
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 for the population and r2 for the sample. But or 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 ŷ. The higher the value of r2 the better it is.
18. The test statistic for Ho: is
19. If no value of is given, use
20. For sample correlation r, approximately equal to 1...
r≈1 for values of r>80% or .8

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