5 1.867, 6 4.208, 7 .975, 8 3.750, 9 2.325, SSE 23.379,

Chapter 13, Problem 13.48

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5 1.867, 6 4.208, 7 .975, 8 3.750, 9 2.325, SSE 23.379, and R2 .938. a. Does this model specify a useful relationship? State and test the appropriate hypotheses using a significance level of .01. b. The estimated standard deviation of Y when x1 x9 0 (i.e., when temperature 100, time 75, and concentration 8) is 1.248. Calculate a 95% CI for expected weight loss when temperature, time, and concentration have the specified values. c. Calculate a 95% PI for a single weight-loss value to be observed when temperature, time, and concentration have values 100, 75, and 8, respectively. d. Fitting the model with only x1, x2, and x3 as predictors gave R2 .456 and SSE 203.82. Is there a useful relationship between weight loss and at least one of the second-order predictors x4, x5, . . . , x9? State and test the appropriate hypotheses.

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