How does the speed at which a car drives affect fuel economy? Owners of a taxi f

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How does the speed at which a car drives affect fuel economy? Owners of a taxi fleet, watching their bottom line sink beneath fuel costs, hired a research firm to tell them the optimal speed for their taxis to drive. Researchers drove a compact car for 200 miles at speeds ranging from 35 to 75 miles per hour. From their data, they created the model Fuel Efficiency:34.57-0.12 ×Speed. The residuals plot for his data is shown. Click the icon to view data. 28 27 28,20 30 Predicted (mpg) a) Interpret the slope of the line in this context. What does the model predict as speed increases by 1 mile per hour? O A. The model predicts a 0.12 mpg increase in fuel economy B. The model predicts a 0.12 mpg decrease in fuel economy ° C. The model predicts a 34.57 mpg decrease in fuel economy O D. The model predicts a 34.57 mpg increase in fuel economy b) Interpret the y-intercept of the line in this context. O A. The model predicts a fuel efficiency of 0 mpg B. The model predicts to get 34.57 mpg at a speed of 0 miles per hour. This is the predicted mileage at a speed of 0 miles per hour. This does not make sense since it is not possible to get mileage if you are not moving The model predicts to get 0.12 mpg at a speed of 0 miles per hour. This is the predicted mileage at a speed of 0 miles per hour. This does not make sense since it is not possible to get mileage if are not moving O C. c) When this model predicts high Fuel Efficiency, what can you say about those predictions? 1 Data Table yA. The predictions are low since the residuals are positive. O B. Accurate, because the predicted and observed values are very close. O C. The predictions are high since the residuals are negative d) What Fuel Efficiency does the model predict when the car is driven at 40 mph? Predicted| Residual 25.6 26.3 26.8 27.3 27.5 28.2 28.5 29.1 29.7 30.2 1.7 Fuel Efficiency 29.77 mpg (Round to two decimal places as needed.) -2.3 e) What was the actual Fuel Efficiency when the car was driven at 50.58 mph? The actual fuel efficiency wasmpg. (Round to one decimal place as needed.) -0.4 0.7

Explanation / Answer

For x = 50.58, predicted y = 34.57 - (0.12 * 50.58) = 28.5.

Corresponding to predicted y = 28.5, residual = - 0.7.

So, actual Fuel efficiency = observed y = 28.5 - 0.7 = 27.8.

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