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Statistics Homework Solutions 207

# Statistics Homework Solutions 207 - 207 SUPPLEMENTARY...

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SUPPLEMENTARY EXERCISES FOR CHAPTER 8 207 t 3 025 3 182. A 95% confidence interval is 0 059718 3 182 0 0088901 , or (0.0314, 0.0880). (d) The reaction rate is decreasing with time if β 2 0. We therefore test H 0 : β 2 0 versus H 1 : β 2 0. From the output, the test statistic for testing H 0 : β 2 0 versus H 1 : β 2 0 is is t 3 945. The output gives P 0 029, but this is the value for a two-tailed test. For the one-tailed test, P 0 029 2 0 0145. It is reasonable to conclude that the reaction rate decreases with time. 21. y β 0 β 1 x 1 β 2 x 2 β 3 x 1 x 2 ε . 23. (a) The 17-variable model containing the independent variables x 1 , x 2 , x 3 , x 6 , x 7 , x 8 , x 9 , x 11 , x 13 , x 14 , x 16 , x 18 , x 19 , x 20 , x 21 , x 22 , and x 23 has adjusted R 2 equal to 0.98446. The fitted model is y 1569 8 24 909 x 1 196 95 x 2 8 8669 x 3 2 2359 x 6 0 077581 x 7 0 057329 x 8 1 3057 x 9 12 227 x 11 44 143 x 13 4 1883 x 14 0 97071 x 16 74 775 x 18 21 656 x 19 18 253 x 20 82 591 x 21 37 553 x 22 329 8 x 23 (b) The 8-variable model containing the independent variables
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