HW Solutions Stat 8

# HW Solutions Stat 8 - ≤ E Y h ≤ 91 9788 b s pred = 9...

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Chapter 2 INFERENCES IN REGRESSION AND CORRELATION ANALYSIS 2.5. a. t ( . 95; 43) = 1 . 6811, 15 . 0352 ± 1 . 6811( . 4831), 14 . 2231 β 1 15 . 8473 b. H 0 : β 1 =0 , H a : β 1 6 =0 . t = (15 . 0352 0) /. 4831 = 31 . 122. If | t |≤ 1 . 681 conclude H 0 , otherwise H a . Conclude H a . P -value= 0+ c. Yes d. H 0 : β 1 14, H a : β 1 > 14. t = (15 . 0352 14) /. 4831 = 2 . 1428. If t 1 . 681 conclude H 0 , otherwise H a . Conclude H a . P -value= . 0189 2.6. a. t ( . 975; 8) = 2 . 306, b 1 =4 . 0, s { b 1 } = . 469, 4 . 0 ± 2 . 306( . 469), 2 . 918 β 1 5 . 082 b. H 0 : β 1 =0 , H a : β 1 6 =0 . t =(4 . 0 0) /. 469=8 . 529. If | t |≤ 2 . 306 conclude H 0 , otherwise H a . Conclude H a . P -value= . 00003 c. b 0 =10 . 20, s { b 0 } = . 663, 10 . 20 ± 2 . 306( . 663), 8 . 671 β 0 11 . 729 d. H 0 : β 0 9, H a : β 0 > 9. t = (10 . 20 9) /. 663=1 . 810. If t 2 . 306 conclude H 0 , otherwise H a . Conclude H 0 . P -value= . 053 e. H 0 : β 1 =0 : δ = | 2 0 | /. 5=4 ,power= . 93 H 0 : β 0 9: δ = | 11 9 | /. 75=2 . 67, power = . 78 2.14. a. ˆ Y h =8 9 . 6313, s { ˆ Y h } =1 . 3964, t ( . 95; 43) = 1 . 6811, 89 . 6313 ± 1
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Unformatted text preview: ≤ E { Y h } ≤ 91 . 9788 b. s { pred } = 9 . 0222, 89 . 6313 ± 1 . 6811(9 . 0222), 74 . 4641 ≤ Y h (new) ≤ 104 . 7985, yes, yes c. 87 . 2838 / 6 = 14 . 5473, 91 . 9788 / 6 = 15 . 3298, 14 . 5473 ≤ Mean time per machine ≤ 15 . 3298 d. W 2 = 2 F ( . 90; 2, 43) = 2(2 . 4304) = 4 . 8608, W = 2 . 2047, 89 . 6313 ± 2 . 2047(1 . 3964), 86 . 5527 ≤ β + β 1 X h ≤ 92 . 7099, yes, yes 2.15. a. X h = 2: ˆ Y h = 18 . 2, s { ˆ Y h } = . 663, t ( . 995; 8) = 3 . 355, 18 . 2 ± 3 . 355( . 663), 15 . 976 ≤ E { Y h } ≤ 20 . 424 2-1...
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