stat512prob4

stat512prob4 - Statistics 512 Problem Set No 4 Due...

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Unformatted text preview: Statistics 512: Problem Set No. 4 Due Wednesday, October 20, 2010. (Div: PTR/EPE) Thursday, October 21, 2010. (Div: 2/3) 1. Based on the following small data set, construct the design matrix, X , its transpose X ′ , and the matrices X ′ X , ( X ′ X ) − 1 , X ′ Y , and b = ( X ′ X ) − 1 X ′ Y . (Chapter 5 in the book discusses finding the inverse of a matrix.) X Y 2 1 4 2 6 3 8 7 10 9 For the following 5 problems, consider the data given in the file CH06PR18.DAT , which describes a data set ( n = 24 ) used to evaluate the relation between inter- mediate and senior level annual salaries of bachelor’s and master’s level mathe- maticians ( Y , in thousand dollars) and an index of work quality ( X 1 ), number of years of experience ( X 2 ), and an index of publication success ( X 3 ). 2. Run the multiple linear regression with quality, experience, and publications as the explana- tory variables and salary as the response variable. Summarize the regression results by givingtory variables and salary as the response variable....
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