Question

the weights (lb) and highway fuel consumption amounts (mi/gal) of the 48 c set, one gets this regression equation: ŷ = 58.9 - 0.00749x, where x represent ugh (d). click the icon to view the car data. c. ŷ represents the predicted value of highway fuel consumption. d. ŷ represents the actual value of weight. b. what are the specific values of the slope and y-intercept of the regression line? a. the slope is 0.00749 and the y-intercept is 58.9. b. the slope is 58.9 and the y-intercept is 0.007499. c. the slope is -0.00749 and the y-intercept is 58.9. d. the slope is 58.9 and the y-intercept is -0.00749.

Explanation:

Step1: Recall the regression equation form

The general form of a linear regression equation is $\hat{y} = b_0 + b_1x$, where $b_0$ is the y - intercept and $b_1$ is the slope.

Step2: Identify values from the given equation

The given regression equation is $\hat{y}=58.9 - 0.00749x$. Comparing with $\hat{y}=b_0 + b_1x$, we can see that $b_0 = 58.9$ (the y - intercept) and $b_1=- 0.00749$ (the slope).

Answer:

C. The slope is $- 0.00749$ and the y - intercept is $58.9$.