HW Solutions Stat 16

HW Solutions Stat 16 - Chapter 5 MATRIX APPROACH TO SIMPLE...

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Chapter 5 MATRIX APPROACH TO SIMPLE LINEAR REGRESSION ANALYSIS 5.4. (1) 503.77 (2) " 50 0 160 # (3) " 49 . 7 39 . 2 # 5.6. (1) 2,194 (2) " 10 10 10 20 # (3) " 142 182 # 5.12. " . 20 0 . 00625 # 5.14. a. " 47 23 #" y 1 y 2 # = " 25 12 # b. " y 1 y 2 # = " 4 . 5 1 # 5.18. a. " W 1 W 2 # = " 1 4 1 4 1 4 1 4 1 2 1 2 1 2 1 2 # Y 1 Y 2 Y 3 Y 4 b. E (" W 1 W 2 #) = " 1 4 [ E { Y 1 } + E { Y 2 } + E { Y 3 } + E { Y 4 } ] 1 2 [ E { Y 1 } + E { Y 2 }− E { Y 3 E { Y 4 } ] # c. σ 2 { W } = " 1 4 1 4 1 4 1 4 1 2 1 2 1 2 1 2 # σ 2 { Y 1 } σ { Y 1 ,Y 2 } σ { Y 1 3 } σ { Y 1 4 } σ { Y 2 1 } σ 2 { Y 2 } σ { Y 2 3 } σ { Y 2 4 } σ { Y 3 1 } σ { Y 3 2 } σ 2 { Y 3 } σ { Y 3 4 } σ { Y 4 1 } σ { Y 4 2 } σ { Y 4 3 } σ 2 { Y 4 } × 1 4 1 2 1 4 1 2 1 4 1 2 1 4 1 2 Using the notation
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