Yi 2 5ixi 2n i prob 258 2 7 258 if 12 0 274

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Unformatted text preview: 1 X − X β1 = β0 2¯ ¯ Prob. 2.52 σ2 {b0 } = σ {Y 2− b1 X } 2.52. σ 2.55. 2 + X2 2 ¯ ¯ σ {Y σ b1 X }− 0 2.52. =σ {b0 } = 2 ¯ − ¯ 2¯2 2 ¯ ¯¯ n = σ {(Xi + X )σ {b1 } − 2X σ {Y , b1 } Y} −X ˆ − ¯) ¯ (Yi¯ Y¯ 2 = [(b0 + b1 Xi ) − Y ]2 SSR 2= 2¯ 2 ¯ = σ {Y } + X σ {b2 } − 2X σ {Y , b1 } 1 2 ¯2 σ X 1σ ¯0 ¯ ¯2 ¯ = + = σ 2 = 2 + X 2 ¯ 2 2 ¯ [(Y−− b1 X ) + b1 Xi − Y ] 2 (X n σ n (Xi2 − X )σi − X ) ¯ ¯ = +X = ¯2 − Xi − X )2 b (0 n (Xi − 2X1)2 n ¯ X 11 1 √ + = σ 2 exp − ¯ 22 (Yi − β0 − β1 Xi )2 g (Xi ) 2.53. a. L = ¯ 2.56. a. E {M SR} πσ1, 026.36, σ−M SE } = .36 n (XE { X )2 2 Xi 2 =12 i=1 + = σ2 ¯ n b. E {M SR} =n90.36,(Xi − X )2} 1 .36 1 E {M SE = 2-7 2 √ 2 a. L Prob...
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This note was uploaded on 10/29/2012 for the course STAT W4315 taught by Professor Martinalindquist during the Spring '12 term at Columbia.

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