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Unformatted text preview: Assignment #2, STAT331/361/SYDE334 Winter 2007 This assignment is to be handed in at the start of the lecture of Thursday 8th February, 07 . For some problems required the application of R software, you need to cut and paste results (either numeric or graphic) into Word, which can then edited, commented on and handed in. DO NOT hand in R code, or a print out of the R session, unless asked for. Problem 1 : Let u = ( u 1 , . . . , u n ) and v = ( v 1 , . . . , v n ) be two n-dimensional vectors. Vectors u and v are said to be orthogonal if the inner product u · v = ∑ n i =1 u i v i = 0, denoted by u ⊥ v . Consider a simple linear regression model whose residual vector is e = ( e 1 , . . . , e n ) and explanatory variable vector is x = ( x 1 , . . . , x n ) , respectively. (a) Let 1 = (1 , . . . , 1) be an n-element vector with all elements equal to 1. Show that e ⊥ 1 . (b) Show that e ⊥ x ....
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- Winter '08
- Regression Analysis, Yi, linear regression model