# 420Hw08 - STAT 420(10 points(due Friday March 28 by 4:00...

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STAT 420 Spring 2008 Homework #8 (10 points) (due Friday, March 28, by 4:00 p.m.) 1. For the prostate data, fit a model with lpsa as the response and the other variables as predictors. a) Implement the Backward Elimination variable selection method to determine the “best” model. Use α crit = 0.05. ( 8.1 (a) ) b) Implement the AIC variable selection method to determine the “best” model. ( 8.1 (b) ) 2. A study of the relation of amount of body fat ( Y ) to several possible predictor variables, based on a sample of 20 healthy females 25–34 years old. The possible predictor variables are triceps skinfold thickness ( X 1 ), thigh circumference ( X 2 ), and midarm circumference ( X 3 ). The data set is available at http://www.stat.uiuc.edu/~stepanov/bodyfat.dat a) Consider all seven (non-empty) subsets of predictors. Find values of Adjusted R 2 for the seven corresponding models. What is the “best” model? b)

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420Hw08 - STAT 420(10 points(due Friday March 28 by 4:00...

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