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Unformatted text preview: ) y = 252. a) Test H : ρ = 0 vs. H a : > 0 at the α = 0.01 level of significance. What can you say about the p-value of this test? b) Does it follow from part (a) that storks do bring babies? Explain . c) Test H : = 0.50 vs. H a : > 0.50 at the α = 0.05 level of significance. What can you say about the p-value of this test? d) Construct a 95% confidence interval for . 100 ( 1 – α ) % confidence interval for ρ : & & ± ² ³ ³ ´ µ +-+-1 1 , 1 1 b b a a e e e e , where 3 2 1 1 2 ln---+ = n r r a z α , 3 2 1 1 2 ln-+-+ = n r r b z . 2.5 Using the prostate data, plot lpsa against lcavol . Fit the regressions of lpsa on lcavol and lcavol on lpsa . Display both regression lines on the plot. At what point do the two lines intersect? Hint 1: If x = m y + b , then y = m 1 x – m b . Hint 2: abline( y-intercept , slope ) 3.5 Find a formula relating R 2 and the F-test for the regression....
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This note was uploaded on 02/10/2009 for the course STAT 420 taught by Professor Stepanov during the Spring '08 term at University of Illinois at Urbana–Champaign.
- Spring '08