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Homework 5

# Homework 5 - STAT 502 Assignment#5 Coverage KKMN Chapters...

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STAT 502 – Assignment #5 Coverage: KKMN Chapters 10 & 12 Name: ____________________________ SCORE: ____ of 40 Homework Problems—These should be done individually! Please note that HW problems generally do not require SAS coding. #1. (7 points) KKMN Problem 10.07. Ignore the questions in the text and answer the following: a. Compute and interpret 2 1 2 | Y X X r Also perform a hypothesis test to determine whether X2 should be included in a model containing X1. b. Compute and interpret 3 2 1 2 | Y X X X r . Also, perform the corresponding added variable test for X3 given X1 and X2. c. Compute and interpret 2 3 1 2 | Y X X X r . d. Based on your previous results, suggest the most appropriate model. #2. (8 points) Consider the setting in problem KKMN 16.09. Ignore the questions in the text. Tables containing Type I and II SS for various models are given below. The total SS was 3554. Squared Squared Partial Partial Variable DF Type I SS Type II SS Corr Type I Corr Type II X3 1 2635.95947 396.37480 0.74169 0.40273 X4 1 229.80627 86.00677 0.25032 0.12764 X1 1 56.95559 55.45422 0.08275 0.08620 X2 1 43.45297 43.45297 0.06883 0.06883 Squared Squared Partial Partial Variable DF Type I SS Type II SS Corr Type I Corr Type II X3 1 2635.95947 396.37480 0.74169 0.40273 X1 1 231.86141 55.45422 0.25256 0.08620 X2 1 12.34665 43.45297 0.01799 0.06883 X4 1 86.00677 86.00677 0.12764 0.12764 Compute and interpret each of the following: 2 2 2 2 2 2 2 4|3 4|123 1|34 2|13 12|34 24|13 14|3 , , , , , , Y Y Y Y Y Y Y r r r r r r r . Looking at all the values provided above, including those you calculated, what do you think will be the best model?

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