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

ID: 3253743 • Letter: H

Question

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.

How does the speed at which a car drives arrect fuel economy? Owners of a taxi feet, watching their bottom line beneath fuel costs, hired a research fmto tell them the optimal speed for their taxi6 to drive. Researchers drove a compact car for 200 mies at speads ranging from 35 to 75 miles par hours. Fram their data, thay creatad the modal Fuel E cy 29-0. spaad. Camplela parts (a) through cro below. TayInturprot the ilopu of tho linu fiis oontol A. The model predicts a 29 mpg increase in Fuel Efficiency per increase of 1 mph in Speed O B. The model predicts a 0.1 mpg increase in Fuel Etliciency per increase of 1 mph in Speed. O C. The model predicts a 29 mpg derresse in Fuel Efficiency per incresse of 1 mph in Speed O D. The model predicts a 0,1 mpg decrease in Fuel Efficiency per incr of 1 mph in Speed, esse b) Explain why a silly ta attach any g to the y-intercept. O A. Because the intercept represente a negative fuel emciency. O B. Because the y-intercept repesents 0 ownere of compact care. O c. Because the y-intercept represente the car getting 0 mpg. O D. Because they intencept repreeente orrving atomph. c) When this model predicts high Fuel Effi ciency, what can you say about those predictions. O A. The prediction would be too high. bocause the residuals with high predicted Fuel Enciency are nogative. B. The prediction would be too low. because the residuals with a high prodictcd Fuel Etmciency are O C. The prediction would be accurate. becauso the residuols with a high prodicted Fuel Eticiency are positive. O D. The prediction would be accurate. because the residuels with a high predicted Fuel Eticiency are roesonably closeto zero. d) What Fuel Efficiency does the madel predict wh driven at 50 mp Fuel Efficiency mpg (Round to one decimal place as needed. e) What was the actual Fuel Emciency when the car was driven at 45 mph The actual Fuel Effciency wes mp0. Round to one decimal place as Do you think this is he appropriate model for the association between Spead and Fuel Emciancy? Explain T because he plat of the siduals patte

Explanation / Answer

estimated Ful Efficiency = 29 - 0.1*speed

a) D)

b) D)

c) A)

d) when speed=60 mph, estimated Ful Efficiency = 29 - (0.1*60) =23

f) No, since it has a bell shaped pattern

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