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answers_spch_15 - Multiple Regression Chapter 15 Multiple...

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Multiple Regression Chapter 15 Multiple Regression Solutions: 1. a. b 1 = .5906 is an estimate of the change in y corresponding to a 1 unit change in x 1 when x 2 is held constant. b 2 = .4980 is an estimate of the change in y corresponding to a 1 unit change in x 2 when x 1 is held constant. 4. a. y = 25 + 10(15) + 8(10) = 255; sales estimate: \$255,000 b. Sales can be expected to increase by \$10 for every dollar increase in inventory investment when advertising expenditure is held constant. Sales can be expected to increase by \$8 for every dollar increase in advertising expenditure when inventory investment is held constant. 5. a. The Minitab output is shown below: The regression equation is Revenue = 88.6 + 1.60 TVAdv Predictor Coef SE Coef T P Constant 88.638 1.582 56.02 0.000 TVAdv 1.6039 0.4778 3.36 0.015 S = 1.215 R-Sq = 65.3% R-Sq(adj) = 59.5% Analysis of Variance Source DF SS MS F P Regression 1 16.640 16.640 11.27 0.015 Residual Error 6 8.860 1.477 Total 7 25.500 b. The Minitab output is shown below: The regression equation is Revenue = 83.2 + 2.29 TVAdv + 1.30 NewsAdv Predictor Coef SE Coef T P Constant 83.230 1.574 52.88 0.000 TVAdv 2.2902 0.3041 7.53 0.001 NewsAdv 1.3010 0.3207 4.06 0.010 S = 0.6426 R-Sq = 91.9% R-Sq(adj) = 88.7% Analysis of Variance

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Chapter 15 Source DF SS MS F P Regression 2 23.435 11.718 28.38 0.002 Residual Error 5 2.065 0.413 Total 7 25.500 Source DF Seq SS TVAdv 1 16.640 NewsAdv 1 6.795 c. No, it is 1.60 in part (a) and 2.29 above. In part (b) it represents the marginal change in revenue due to an increase in television advertising with newspaper advertising held constant. d. Revenue = 83.2 + 2.29(3.5) + 1.30(1.8) = \$93.56 or \$93,560 7. a. The Minitab output is shown below: The regression equation is Price = 356 - 0.0987 Capacity + 123 Comfort Predictor Coef SE Coef T P Constant 356.1 197.2 1.81 0.114 Capacity -0.09874 0.04588 -2.15
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answers_spch_15 - Multiple Regression Chapter 15 Multiple...

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