Question

Analysis of the relationship between the fuel economy​ (mpg) and engine size​ (in liters) for 35 models of cars produces the regression model ModifyingAbove mpg with caret equals 36.91 minus 3.824 times Engine size mpg=36.91−3.824•Engine size. Explain what the slope means. Choose the correct answer below.

Answer 1

Answer:

The slope of -3.824 means that if we increase engine size by 1 unit, the mpg will decrease by 3.824 units

Explanation:

mpg=36.91−3.824•Engine size

Writing as y=mx+c then

mpg=−3.824•Engine size+36.91

Where mpy represent y, -3.824 represent m, engine size represent x and 36.91 represent c

Since from the equation y=mx+c m is the slope and c is the y-intercept, therefore,

The slope of -3.824 means that if we increase engine size by 1 unit, the mpg will decrease by 3.824 units