Unformatted text preview: 6. Calculate power for the slope using the results of text Problem 1.22 as follows. Assume n = 16, σ 2 = MSE , and SS X = 1280. (Note: this last value could be obtained with SAS using proc univariate data = (dataset name); var time; and looking at the output titled “ Corrected SS ” in the Moments section.) (a) Find the power for rejecting the null hypothesis that the regression slope is zero using an α = 0 . 05 signiﬁcance test when the alternative is β 1 = 0 . 5. (b) Plot the power as a function of β 1 for values of β 1 between -2.5 and +2.5 in increments of 0.25 . 7. Given that R 2 = SSM/SST , it can be shown that R 2 / (1-R 2 ) = SSM/SSE . If you have n = 28 cases and R 2 = 0 . 3, what is the F-statistic for the test that the slope is equal to zero? 1...
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- Spring '08
- Statistics, Null hypothesis, 43 hours