Question

using the weights (lb) and highway fuel consumption amounts (mil/gal) of the 40 cars listed in the accompanying data set, one gets this regression equation: ŷ = 58.0 - 0.00740x, where y represents mpg. complete parts (a) through (d). click the icon to view the car data. the slope is -0.00740 and the y-intercept is 58.0. e. what is the predictor variable? a. the predictor variable is highway fuel consumption, which is represented by y. b. the predictor variable is highway fuel consumption, which is represented by x. c. the predictor variable is weight, which is represented by x. d. the predictor variable is weight, which is represented by y.

Explanation:

In a regression equation $\hat{y} = b_0 + b_1x$, $x$ is the predictor (independent) variable, and $y$ is the response (dependent) variable. The context here involves weight (x) predicting highway fuel consumption (y). So the predictor variable is weight, represented by $x$.

Answer:

C. The predictor variable is weight, which is represented by x.