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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 Spring '08
 Staff
 Statistics, Regression Analysis, 8 years, thousand dollars, regression coefficients

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