exam1soln

# exam1soln - r STAT 8260 Exam 1 - Tuesday, February 26 SHOW...

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r STAT 8260 Exam 1 - Tuesday, February 26 SHOW ALL WORK 1. (12 pts) Suppos<rthat a matrix M is (i) symmetric, and (ii) idempotent. Prove that M is a projection matrix onto its column space C(M). ^ & if (0 / ,f vecM)

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2. (10 pts) Consider the system of equations Is this system of equations consistent? Justify your answe stify your answer. J _ V/ / 4* •-£ & - - - V;;o o - r - 3 .- of 4 2. - 1 2, ^ T^A fc fpt, c" - 3 > 5 5 TC^ /j- ^7 0 /- •/-«' 3. (10 pts) Suppose y = (yi,yi,y 3 ) T ~ JV 3 (0,E) where 1 -1-1 2=1-1 4 1 I -1 1 9 Find P2s-r, the partial correlation between 3/2 and ya adjusted for ' ' 3 o -_ /• H I \ _ / ( ,1 J (.
. -S7 Suppose an experiment is conducted in which four experimental units are random- ized to two treatment groups of sizes 3 and 1, respectively. That is, four responses are observed, three under treatment 1, and one under treatment 2. Let y^ denote the j th observation in treatment group i, and let y = (yn,yi2,yi3,y2i) T - Define Vo = £(J4) and /i = £(ii, i

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## This note was uploaded on 11/13/2011 for the course STAT 8260 taught by Professor Hall during the Summer '10 term at UGA.

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exam1soln - r STAT 8260 Exam 1 - Tuesday, February 26 SHOW...

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