In: Statistics and Probability
14.5 A consumer organization wants to develop a regression model to predict gasoline mileage (as measured by miles per gallon) based on the horsepower of the car’s engine and the weight of the car, in pounds. A sample of 50 recent car models was selected, with the results recorded in the file auto.xls.
a. State the multiple regression equation.
b. Interpret the meaning of the slopes, b1 and b2, in this problem.
c. Explain why the regression coefficient, b0, has no practical meaning in the context of this problem.
d. Predict the mean miles per gallon for cars that have 60 horsepower and weigh 2,000 pounds.
Show how to get all answers in Excel format
MPG | Horsepower | Weight |
43.1 | 48 | 1985 |
19.9 | 110 | 3365 |
19.2 | 105 | 3535 |
17.7 | 165 | 3445 |
18.1 | 139 | 3205 |
20.3 | 103 | 2830 |
21.5 | 115 | 3245 |
16.9 | 155 | 4360 |
15.5 | 142 | 4054 |
18.5 | 150 | 3940 |
27.2 | 71 | 3190 |
41.5 | 76 | 2144 |
46.6 | 65 | 2110 |
23.7 | 100 | 2420 |
27.2 | 84 | 2490 |
39.1 | 58 | 1755 |
28.0 | 88 | 2605 |
24.0 | 92 | 2865 |
20.2 | 139 | 3570 |
20.5 | 95 | 3155 |
28.0 | 90 | 2678 |
34.7 | 63 | 2215 |
36.1 | 66 | 1800 |
35.7 | 80 | 1915 |
20.2 | 85 | 2965 |
23.9 | 90 | 3420 |
29.9 | 65 | 2380 |
30.4 | 67 | 3250 |
36.0 | 74 | 1980 |
22.6 | 110 | 2800 |
36.4 | 67 | 2950 |
27.5 | 95 | 2560 |
33.7 | 75 | 2210 |
44.6 | 67 | 1850 |
32.9 | 100 | 2615 |
38.0 | 67 | 1965 |
24.2 | 120 | 2930 |
38.1 | 60 | 1968 |
39.4 | 70 | 2070 |
25.4 | 116 | 2900 |
31.3 | 75 | 2542 |
34.1 | 68 | 1985 |
34.0 | 88 | 2395 |
31.0 | 82 | 2720 |
27.4 | 80 | 2670 |
22.3 | 88 | 2890 |
28.0 | 79 | 2625 |
17.6 | 85 | 3465 |
34.4 | 65 | 3465 |
20.6 | 105 | 3380 |