Which of the following best describes the y-intercept in the simple linear regression model?
A)The y-intercept is the estimated average value of y when x = 1.
B)The y-intercept is the estimated average value of x when y = 0.
C)The y-intercept is the rate of change of y with respect to changes in x.
D)The y-intercept is the estimated average value of y when x = 0.

Question

Quizplus · Accepted Answer

The y-intercept is the estimated value of y when x = 0. This can be interpreted as the starting point or baseline value for y before any changes in x are accounted for. Option A is incorrect because it implies that x must equal 1, which may not be the case. Option B is incorrect because it refers to the estimated average value of x, which is not relevant to the y-intercept. Option C is incorrect because it refers to the slope or rate of change of y with respect to x, which is a separate parameter in the simple linear regression model.

Which of the Following Best Describes the Y-Intercept in the Simple