HW Solutions Stat 15

HW Solutions Stat 15 - 226424 t 95 44 = 1 68023 14 9472 ±...

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X h = 7: 104 . 667 ± 2 . 01669(9 . 05808) 86 . 3997 Y h (new) 122 . 934 4.8. a. F ( . 95; 2 , 8)=4 . 46, W =2 . 987 X h =0 : 10 . 2000 ± 2 . 987( . 6633) 8 . 219 E { Y h }≤ 12 . 181 X h =1 : 14 . 2000 ± 2 . 987( . 4690) 12 . 799 E { Y h }≤ 15 . 601 X h =2 : 18 . 2000 ± 2 . 987( . 6633) 16 . 219 E { Y h }≤ 20 . 181 b. B = t ( . 99167; 8) = 3 . 016, yes c. F ( . 95; 3 , 8)=4 . 07, S =3 . 494 X h =0 : 10 . 2000 ± 3 . 494(1 . 6248) 4 . 523 Y h (new) 15 . 877 X h =1 : 14 . 2000 ± 3 . 494(1 . 5556) 8 . 765 Y h (new) 19 . 635 X h =2 : 18 . 2000 ± 3 . 494(1 . 6248) 12 . 523 Y h (new) 23 . 877 d. B =3 . 016, yes 4.10. a. F ( . 95; 2 , 58)=3 . 15593, W =2 . 512342 X h = 45: 102 . 797 ± 2 . 512342(1 . 71458) 98 . 489 E { Y h }≤ 107 . 105 X h = 55: 90 . 8968 ± 2 . 512342(1 . 1469) 88 . 015 E { Y h }≤ 93 . 778 X h = 65: 78 . 9969 ± 2 . 512342(1 . 14808) 76 . 113 E { Y h }≤ 81 . 881 b. B = t ( . 99167; 58) = 2 . 46556, no c. B =2 . 46556 X h = 48: 99 . 2268 ± 2 . 46556(8 . 31158) 78 . 734 Y h (new) 119 . 720 X h = 59: 86 . 1368 ± 2 . 46556(8 . 24148) 65 . 817 Y h (new) 106 . 457 X h = 74: 68 . 2869 ± 2 . 46556(8 . 33742) 47 . 730 Y h (new) 88 . 843 d. Yes, yes 4.16. a. ˆ Y =14 . 9472 X b.
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Unformatted text preview: . 226424, t ( . 95; 44) = 1 . 68023, 14 . 9472 ± 1 . 68023(0 . 226424) , 14 . 567 ≤ β 1 ≤ 15 . 328 c. ˆ Y h = 89 . 6834, s { pred } = 8 . 92008, 89 . 6834 ± 1 . 68023(8 . 92008) , 74 . 696 ≤ Y h (new) ≤ 104 . 671 4.17. b. i : 1 2 . . . 44 45 e i :-9.89445 0.21108 . . . 1.2111 2.2639 No c. H : E { Y } = β 1 X , H a : E { Y } 6 = β 1 X . SSLF = 622 . 12, SSP E = 2797 . 66 , F ∗ = (622 . 12 / 9) ÷ (2797 . 66 / 35) = 0 . 8647783, F ( . 99; 9 , 35) = 2 . 96301 . If F ∗ ≤ 2 . 96301 conclude H , otherwise H a . Conclude H . P-value = 0 . 564 4-2...
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This note was uploaded on 12/21/2011 for the course STA 2014 taught by Professor Davehatley during the Fall '11 term at UNF.

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