HW Solutions Stat 20

HW Solutions Stat 20 - Chapter 6 MULTIPLE REGRESSION I 6.9....

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Chapter 6 MULTIPLE REGRESSION – I 6.9. c. Y X 1 X 2 X 3 1 . 0000 . 2077 . 0600 . 8106 1 . 0000 . 0849 . 0457 1 . 0000 . 1134 1 . 0000 6.10. a. ˆ Y = 4149 . 89+0 . 000787 X 1 13 . 166 X 2 + 623 . 554 X 3 b&c. i : 1 2 . . . 51 52 e i : 32 . 0635 169 . 2051 ... 184 . 8776 64 . 5168 Expected Val.: 24 . 1737 151 . 0325 212 . 1315 75 . 5358 e. n 1 = 26, ¯ d 1 = 145 . 0, n 2 = 26, ¯ d 2 =77 . 4, s =81 . 7 , t BF = (145 . 0 77 . 4) / [81 . 7 q (1 / 26)+(1 / 26)] = 2 . 99, t ( . 995; 50) = 2 . 67779 . If | t |≤ 2 . 67779 conclude error variance constant, otherwise error variance not constant. Conclude error variance not constant. 6.11. a. H 0 : β 1 = β 2 = β 3 =0 , H a : not all β k =0( k = 1, 2,3). MSR = 725 , 535, MSE =20 , 531 . 9, F = 725 , 535 / 20 , 531 . 9=35 . 337, F ( . 95; 3 , 48)=2 . 79806. If F 2 . 79806 conclude H 0 , otherwise H a . Conclude H a .P -value = 0+. b. s { b 1 } = . 000365, s { b 3 } =62 . 6409, B = t ( . 9875; 48) = 2 . 3139 0 . 000787 ± 2 . 3139( . 000365) . 000058 β 1 0 . 00163 623 . 554 ± 2 . 3139(62 . 6409) 478 . 6092 β 3 768 . 4988 c. SSR =2 , 176 , 606, SSTO =3 , 162 , 136,
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