Statistics Homework Solutions 174

Statistics Homework Solutions 174 - 174 CHAPTER 7 0 478535...

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174 CHAPTER 7 s pred s 1 1 n x x 2 n i 1 x i x 2 0 478535. There are 23 degrees of freedom. t 23 005 2 807. Therefore a 99% prediction interval is 9 4060955 2 807 0 478535 , or (8.063, 10.749). (h) The confidence interval is more useful, since it is concerned with the true length of the spring, while the prediction interval is concerned with the next measurement of the length. 3. (a) The slope is 0.84451; the intercept is 44.534. (b) Yes, the P -value for the slope is 0, so horsepower is related to NO x . (c) 44 534 0 84451 10 52 979 mg/s. (d) r r 2 0 847 0 920. (e) Since n 123 is large, use the z table to construct a confidence interval. z 05 1 645, so a 90% confidence interval is 78 31 1 645 2 23 , or (74.6, 82.0). (f) No. A reasonable range of predicted values is given by the 95% prediction interval, which is (29.37, 127.26). 5. (a) H 0 : β C β E 0 (b) β C and β E are independent and normally distributed with means β C and β
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