# HW11sol - IE300/GE331 Homework 11 Solutions 1 11-2 a i i i...

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Unformatted text preview: IE300/GE331 Homework 11 Solutions 1 11-2 a) i i i x y ε β β + + = 1 6 . 33991 8 . 143215 20 1478 2 =- = xx S 445 . 141 67 . 1083 20 ) 75 . 12 )( 1478 ( =- = xy S 32999 . ) )( 0041617512 . ( ˆ 00416 . 6 . 33991 445 . 141 ˆ 20 1478 20 75 . 12 1 =- = = = = β β xx xy S S x y 00416 . 32999 . ˆ + = 00796 . 18 143275 . 2 ˆ 2 = =- = = n SS MS E E σ 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8-50 50 100 x y b) 6836 . ) 85 ( 00416 . 32999 . ˆ = + = y c) 7044 . ) 90 ( 00416 . 32999 . ˆ = + = y d) 00416 . ˆ 1 = β 11-3 a) Regression Analysis: Rating Pts versus Yds per Att The regression equation is Rating Pts = 14.2 + 10.1 Yds per Att Predictor Coef SE Coef T P Constant 14.195 9.059 1.57 0.128 Yds per Att 10.092 1.288 7.84 0.000 IE300/GE331 Homework 11 Solutions 2 S = 5.21874 R-Sq = 67.2% R-Sq(adj) = 66.1% Analysis of Variance Source DF SS MS F P Regression 1 1672.5 1672.5 61.41 0.000 Residual Error 30 817.1 27.2 Total 31 2489.5 i i i x y ε β β + + = 1 422 . 16 32 ) 93 . 223 ( 442 . 1583 2 =- = xx S 7271 . 165 32 ) 1 . 2714 )( 93 . 223 ( 49 . 19158 =- = xy S 195 . 14 32 93 . 223 ) 092 . 10 ( 32 1 . 2714 ˆ 092 . 10 422 . 16 7271 . 165 ˆ 1 = - = = = = β β xx xy S S x y 1 . 10 2 . 14 ˆ + = 24 . 27 30 1 . 817...
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HW11sol - IE300/GE331 Homework 11 Solutions 1 11-2 a i i i...

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