# Data from the EPAs Fuel Efficiency Guide suggests an approximate linear relationship between y = highway fuel

## Question:

Data from the EPA’s Fuel Efficiency Guide suggests an approximate linear relationship between y = highway fuel efficiency (mpg) and x = weight (lbs) for midsize cars. Suppose the equation of the true regression line is ƒ(x) = 70 − .0085x.

a. What is the expected value of highway fuel efficiency when weight = 2500 lbs?

b. By how much can we expect highway fuel efficiency to change when weight increases by 1 lb?

c. Answer part (b) for an increase of 500 lbs.

d. Answer part (b) for a decrease of 500 lbs.

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**Related Book For**

## Modern Mathematical Statistics With Applications

**ISBN:** 9783030551551

3rd Edition

**Authors:** Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton