Question

We expect a car’s highway gas mileage to be related to its city gas mileage (in mpg). Data for all 1209 1209 vehicles in the government’s 2016 Fuel Economy Guide give the regression line highway mpg = 7.903 + ( 0.993 × city mpg )
(a) What is the slope of this line? (Enter your answer rounded to three decimal places.)

slope:

What does the numerical value of the slope tell you?

Answer 1

Answer:

a. Slope=0.993

Step-by-step explanation:

The linear regression line can be represented as

y=a+bx

Where a is intercept and b is the slope of regression line.

The given regression line is

Highway mpg=7.903+0.993 city mpg.

Here, the intercept is 7.903 and the slope is 0.993.

The numerical value 0.993 of slope depicts that due to unit increase in city mpg the highway mpg increase by 0.993.