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HW+10+Solutions

# HW+10+Solutions - 1 ECON 3254 Fall 2011...

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Unformatted text preview: 1 ECON 3254 Fall 2011 Homework #10 (Solutions) Chapter 15 (pp 651_694): 9. a. The Minitab output is shown below: The regression equation is TopSpeed = 65.0 - 0.390 Beam + 0.0511 HP Predictor Coef SE Coef T P Constant 64.966 9.009 7.21 0.000 Beam -0.38959 0.09579 -4.07 0.001 HP 0.05106 0.01312 3.89 0.001 S = 1.59538 R-Sq = 59.7% R-Sq(adj) = 55.0% Analysis of Variance Source DF SS MS F P Regression 2 64.157 32.078 12.60 0.000 Residual Error 17 43.269 2.545 Total 19 107.426 b. ˆ y = 64.966 - .38959 Beam + .05106 HP = 64.966 - .38959(85) + .05106(330) = 48.70 Thus, an estimate of the top speed for the Svfara SV609 is 48.7 mph. 2 17. a. 2 SSR 64.157 .597 SST 107.426 R = = = 2 2 1 20 1 1 (1 ) 1 (1 .597) .550 1 20 2 1 a n R R n p-- = - - = - - =- -- - b. The fit is not very good 25. a. The Minitab output is shown below: The regression equation is Rating = 0.345 + 0.255 TradeEx + 0.132 Use + 0.459 Range Predictor Coef SE Coef T P Constant 0.3451 0.5307 0.65 0.540 TradeEx 0.25482 0.08556 2.98 0.025 Use 0.1325 0.1404 0.94 0.382 Range 0.4585 0.1232 3.72 0.010 S = 0.2431 R-Sq = 88.6% R-Sq(adj) = 82.8% Analysis of Variance Source DF SS MS F P Regression 3 2.74541 0.91514 15.49 .003 Residual Error 6 0.35459 0.05910 Total 9 3.10000 b. Because the p-value = .003 < α = .05, there is a significant relationship. = ....
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HW+10+Solutions - 1 ECON 3254 Fall 2011...

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