Statistics Homework Solutions 193

Statistics Homework Solutions 193 - 193 SECTION 8.2 0...

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SECTION 8.2 193 y 0 012167 0 043258 t 2 9205 t 2 (b) β 2 2 9205, s β 2 0 038261. There are n 3 7 degrees of freedom. t 7 025 2 365. A 95% confidence interval is therefore 2 9205 2 365 0 038261 , or (2.830, 3.011). (c) Since a 2 β 2 , the confidence limits for a 95% confidence interval for a are twice the limits of the confidence interval for β 2 . Therefore a 95% confidence interval for a is (5.660, 6.022). (d) β 0 : t 7 1 1766, P 0 278, β 1 : t 7 1 0017, P 0 350, β 2 : t 7 76 33, P 0 000. (e) No, the P -value of 0.278 is not small enough to reject the null hypothesis that β 0 0. (f) No, the P -value of 0.350 is not small enough to reject the null hypothesis that β 1 0. Section 8.2 1. (a) Predictor Coef StDev T P Constant 6.3347 2.1740 2.9138 0.009 x 1 1.2915 0.1392 9.2776 0.000 β 0 differs from 0 ( P 0 009), β 1 differs from 0 ( P 0 000). (b) Predictor Coef StDev T P Constant 53.964 8.7737 6.1506 0.000
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