We are interested in exploring the relationship between the weight of a vehicle and its fuel efficiency (gasoline mileage). The data in the table show the weights, in pounds, and fuel efficiency, measured in miles per gallon, for a sample of 12 vehicles. Weight Fuel Efficiency 2710 24 2560 28 2630 29 2740 38 3000 26 3410 25 3640 21 3700 27 3880 21 3900 20 4060 20 4710 17 Part 1) What percent of the variation in fuel efficiency is explained by the variation in the weight of the vehicles, using the regression line? (Round your answer to the nearest whole number.) _______________% Part 2) For the vehicle that weighs 3000 pounds, find the residual (y − ŷ).(Round your answer to two decimal places.) ______________ Part 3) Identify any outliers, using either the graphical or numerical procedure demonstrated in the textbook. (Select all that apply.) a) (4710, 17) b) (2740, 38) c) (2710, 24) d) (3700, 27) e) (4060, 20) f) no outliers
We are interested in exploring the relationship between the weight of a vehicle and its fuel efficiency (gasoline mileage). The data in the table show the weights, in pounds, and fuel efficiency, measured in miles per gallon, for a sample of 12 vehicles.
Weight | Fuel Efficiency |
---|---|
2710 | 24 |
2560 | 28 |
2630 | 29 |
2740 | 38 |
3000 | 26 |
3410 | 25 |
3640 | 21 |
3700 | 27 |
3880 | 21 |
3900 | 20 |
4060 | 20 |
4710 | 17 |
Part 1) What percent of the variation in fuel efficiency is explained by the variation in the weight of the vehicles, using the regression line? (Round your answer to the nearest whole number.)
_______________%
Part 2) For the vehicle that weighs 3000 pounds, find the residual (y − ŷ).(Round your answer to two decimal places.)
______________
Part 3) Identify any outliers, using either the graphical or numerical procedure demonstrated in the textbook. (Select all that apply.)
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