174CHAPTER 7spreds11nxx2∑ni1xix20 478535. There are 23 degrees of freedom.t23 0052 807.Therefore a 99% prediction interval is 9 40609552 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 theprediction interval is concerned with the next measurement of the length.3. (a) The slope is 0.84451; the intercept is 44.534.(b) Yes, theP-value for the slope is0, so horsepower is related to NOx.(c) 44 5340 84451 1052 979 mg/s.(d)rr20 8470 920.(e) Sincen123 is large, use theztable to construct a confidence interval.z051 645, so a 90% confidence interval is 78 311 645 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)H0:βCβE0(b)βCandβEare independent and normally distributed with meansβCandβ
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