Question

We expect a car’s highway gas mileage to be related to its city gas mileage (in mpg). Data for all 1209 vehicles in the government’s 2016 Fuel Economy Guide gives the regression line highway mpg=7.903+(0.993×city mpg) for predicting highway mileage from city mileage. (a) What is the slope of this line? (Give your answer to 3 decimal places.)

Answer 1

Slope of this line = 0.993

Step-by-step explanation:

Data provided in the question:

The regression line highway mpg =7.903 + (0.993×city mpg)

for predicting highway mileage from city mileage

Now,

The general equation for the regression line is given as :

y = mx + c

here,

y is the dependent

m is the slope of the regression line

x is the variable

c is the constant

on comparing the general regression line with the given data in the question

we get

y = highway mpg

m = 0.993

x = city mileage

c = 7.903

hence,

Slope of this line = 0.993