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# t3 - Stat 5102 Final Exam Name Student ID 1 The exam is...

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Stat 5102 Final Exam May 12, 2010 Name Student ID The exam is closed book and closed notes. You may use three 8 1 2 × 11 sheets of paper with formulas, etc. You may also use the handouts on “brand name distributions” and Greek letters. Put all of your work on this test form (use the back if necessary). Show your work or give an explanation of your answer. No credit for numbers with no indication of where they came from. The points for the questions total to 200. There are 10 pages and 8 problems. 1. [25 pts.] Find the Jeffreys prior for the Poi( μ ) distribution. It is proper or improper? 1

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2. [25 pts.] The following Rweb output fits three linear models and does tests of model comparison between them Rweb:> out1 <- lm(y ~ x1 + x2 + x3) Rweb:> out2 <- lm(y ~ poly(x1, x2, x3, degree = 2, raw = TRUE)) Rweb:> out3 <- lm(y ~ poly(x1, x2, x3, degree = 3, raw = TRUE)) Rweb:> anova(out1, out2, out3) Analysis of Variance Table Model 1: y ~ x1 + x2 + x3 Model 2: y ~ poly(x1, x2, x3, degree = 2, raw = TRUE) Model 3: y ~ poly(x1, x2, x3, degree = 3, raw = TRUE) Res.Df RSS Df Sum of Sq F Pr(>F) 1 96 4206818 2 90 9312 6 4197506 7224.2845 <2e-16 ***
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t3 - Stat 5102 Final Exam Name Student ID 1 The exam is...

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