If a simple linear regression model has no y-intercept, then which of the following may be deduced about the values of the variables?
A) All values of x are 0.
B) All values of y are 0.
C) When y = 0, x = 0.
D) When x = 0, y = 0.

Question

Quizplus · Accepted Answer

If the simple linear regression model has no y-intercept, it means that the line passes through the origin (0,0). This implies that when x = 0, y = 0, but it does not necessarily mean that all values of x or y are 0. Therefore, option D is the best choice as it correctly identifies the relationship between x and y at the origin.

If a Simple Linear Regression Model Has No Y-Intercept, Then