Question
An engineer wants to determine how the weight of a car, x, affects gas mileage, y....
An engineer wants to determine how the weight of a car, x, affects gas mileage, y. The following data represent the weights of various cars and their miles per gallon.
| A | B | C | D | E |
| 2600 | 3070 | 3450 | 3735 | 4180 |
| 30.1 | 26.5 | 21 | 22.1 | 17.7 |
(a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.
Write the equation for the least-squares regression line.
(b) Interpret the slope and intercept, if appropriate.
(c) Predict the miles per gallon of car B and compute the residual. Is the miles per gallon of this car above average or below average for cars of this weight?
(d) Draw the least-squares regression line on the scatter diagram of the data and label the residual.
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