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An engineer wants to determine how the weight of a​ gas-powered car,​ x, affects gas​ mileage, y. The

accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts​ (a) through​ (d) below.

Car Weight and MPG

Weight, Pounds, X Miles per gallon, y

3676 17

3801 16

2693 26

3614 18

3224 21

2895 23

3798 18

2510 24

3457 19

3875 17

3347 18


a) y over bar =________x +__________​(Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as​ needed.)


b) Interpret the the slope and y intercept if appropriate, choose the correct answer below and fill in any boxes

A. For every pound added to the weight of the car, gas mileage in the city will decrease by______mile(s) per gallon, on average. A weightless car will get _____miles per gallon

on average

B. For every pound added to the weight of the car, gas mileage in the city will decrease by______mile(s) per gallon, on average. It is the appropriate to to interpret the y intercept

C. A weightless car will get______miles per gallon on average. It is appropriate to interpret the slope

D. It is not appropriate to interpret the the slope or y intercept

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