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HW Solutions Stat 9

# HW Solutions Stat 9 - Xh = 4 Yh = 26.2 scfw_Yh = 1.483 26.2...

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X h = 4: ˆ Y h = 26 . 2, s { ˆ Y h } = 1 . 483, 26 . 2 ± 3 . 355(1 . 483), 21 . 225 E { Y h } ≤ 31 . 175 b. s { pred } = 1 . 625, 18 . 2 ± 3 . 355(1 . 625), 12 . 748 Y h (new) 23 . 652 c. s { predmean } = 1 . 083, 18 . 2 ± 3 . 355(1 . 083), 14 . 567 ¯ Y h (new) 21 . 833, 44 = 3(14 . 567) Total number of broken ampules 3(21 . 833) = 65 d. W 2 = 2 F ( . 99; 2 , 8) = 2(8 . 649) = 17 . 298, W = 4 . 159 X h = 2: 18 . 2 ± 4 . 159( . 663), 15 . 443 β 0 + β 1 X h 20 . 957 X h = 4: 26 . 2 ± 4 . 159(1 . 483), 20 . 032 β 0 + β 1 X h 32 . 368 yes, yes 2.24. a. Source SS df MS Regression 76,960.4 1 76,960.4 Error 3,416.38 43 79.4506 Total 80,376.78 44 Source SS df MS Regression 76,960.4 1 76,960.4 Error 3,416.38 43 79.4506 Total 80,376.78 44 Correction for mean 261,747.2 1 Total, uncorrected 342,124 45 b. H 0 : β 1 = 0, H a : β 1 = 0. F = 76 , 960 . 4 / 79 . 4506 = 968 . 66 , F ( . 90; 1 , 43) = 2 . 826. If F 2 . 826 conclude H 0 , otherwise H a . Conclude H a . c. 95.75% or 0.9575, coeﬃcient of determination d. + . 9785 e. R 2 2.25. a. Source SS df MS Regression 160.00 1 160.00 Error 17.60 8 2.20 Total 177.60 9 b. H 0 : β 1 = 0,
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