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.

Question

Engineering

Cristopher Compton

20 October, 18:51

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.

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Answers (1)

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Shaun Navarro · Answer 1

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