calculate the slope

Question

(5.01) We expect a car’s highway gas mileage to be related to its city gas mileage (in miles per gallon, mpg).
Data for all 1137 vehicles in the government’s 2013 Fuel Economy Guide give the regression line
highway mpg = 6.785 + (1.033 × city mpg)

for predicting highway mileage from city mileage.

Answer 1

Hi Chris,

 

The equation provided,

 

H = 6.785 + 1.033 C, where H is highway mpg and C is city mpg, is in the slope intercept form, i.e. y=mx+b.

 

From here, it is fairly simple to determine the slope of the line as it is the coefficient of the city mpg.

 

The slope is 1.033