Question

We expect a car’s highway gas mileage to be related to its city gas mileage (in mpg). Data for all 12091209 vehicles in the government’s 2016 Fuel Economy Guide give the regression line

highway mpg=7.903+(0.993×city mpg)highway mpg=7.903+(0.993×city mpg)
for predicting highway mileage from city mileage.

(a) What is the slope of this line?

Answer 1

The slope of the regression line is 0.993.

Step-by-step explanation:

The regression line that relates the highway gas mileage to the city gas mileage is given by the equation: highway mpg = 7.903 + 0.993 × city mpg. The slope of a regression line represents the change in the dependent variable (highway mpg) for a one-unit increase in the independent variable (city mpg). In this case, the slope of the line is 0.993. This means that for every one-unit increase in the city mpg, we expect the highway mpg to increase by approximately 0.993 units.