HW Solutions Stat 35

# HW Solutions Stat 35 - b Y =.5574 50.8065X scfw_b0 = 3.5967...

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b. ˆ Y 0 = . 5574 + 50 . 8065 X 0 , s { b 0 0 } =3 . 5967, s { b 0 1 } =4 . 3871 c. H 0 : ρ =0 , H a : ρ> 0. D =1 . 499, d L =1 . 08, d U =1 . 36. If D> 1 . 36 conclude H 0 ,i f D< 1 . 08 conclude H a , otherwise test is inconclusive. Conclude H 0 . d. ˆ Y = 1 . 3935 + 50 . 8065 X , s { b 0 } =8 . 9918, s { b 1 } =4 . 3871 f. F 17 = 1 . 3935+50 . 8065(2 . 210)+ . 6( . 6405) = 110 . 505, s { pred } = . 9467, t ( . 975; 13) = 2 . 160, 110 . 505 ± 2 . 160( . 9467) , 108 . 46 Y 17(new) 112 . 55 12.12. a. b 1 =49 . 80564, s { b 1 } =4 . 77891 b. H 0 : ρ =0 , H a : ρ 6 =0 . D =1 . 75 (based on regression with intercept term), d L =1 . 08, d U =1 . 36. If D> 1 . 36 and 4 D> 1 . 36 conclude H 0 ,i f D< 1 . 08 or 4 D< 1
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