HW Solutions Stat 14

HW Solutions Stat 14 - W = 2 204727 X h = 3 44 5256 ± 2...

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Chapter 4 SIMULTANEOUS INFERENCES AND OTHER TOPICS IN REGRESSION ANALYSIS 4.3. a. Opposite directions, negative tilt b. B = t ( . 9875; 43) = 2 . 32262, b 0 = 0 . 580157, s { b 0 } =2 . 80394, b 1 =15 . 0352 ,s { b 1 } = 0 . 483087 0 . 580157 ± 2 . 32262(2 . 80394) 7 . 093 β 0 5 . 932 15 . 0352 ± 2 . 32262(0 . 483087) 13 . 913 β 1 16 . 157 c. Yes 4.4. a. Opposite directions, negative tilt b. B = t ( . 9975; 8) = 3 . 833, b 0 =10 . 2000, s { b 0 } = . 6633, b 1 =4 . 0000 ,s { b 1 } = . 4690 10 . 2000 ± 3 . 833( . 6633) 7 . 658 β 0 12 . 742 4 . 0000 ± 3 . 833( . 4690) 2 . 202 β 1 5 . 798 4.6. a. B = t ( . 9975; 14) = 2 . 91839, b 0 = 156 . 347, s { b 0 } =5 . 51226, b 1 = 1 . 190, s { b 1 } = 0 . 0901973 156 . 347 ± 2 . 91839(5 . 51226) 140 . 260 β 0 172 . 434 1 . 190 ± 2 . 91839(0 . 0901973) 1 . 453 β 1 ≤− 0 . 927 b. Opposite directions c. No 4.7. a. F ( . 90; 2 , 43)=2 . 43041,
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Unformatted text preview: W = 2 . 204727 X h = 3: 44 . 5256 ± 2 . 204727(1 . 67501) 40 . 833 ≤ E { Y h } ≤ 48 . 219 X h = 5: 74 . 5961 ± 2 . 204727(1 . 32983) 71 . 664 ≤ E { Y h } ≤ 77 . 528 X h = 7: 104 . 667 ± 2 . 204727(1 . 6119) 101 . 113 ≤ E { Y h } ≤ 108 . 221 b. F ( . 90; 2 , 43) = 2 . 43041, S = 2 . 204727; B = t ( . 975; 43) = 2 . 01669; Bonferroni c. X h = 4: 59 . 5608 ± 2 . 01669(9 . 02797) 41 . 354 ≤ Y h (new) ≤ 77 . 767 4-1...
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