We run a simple regression using an independent variable X and a dependent variable Y. We find that there is absolutely no relationship between the two variables. What will the regression line look like?
A) There can be no regression line in this situation.
B) It will be a completely vertical line at the mean of X.
C) It will be a completely horizontal line at the mean of Y.
D) It will take on a U-shape.

Question

Quizplus · Accepted Answer

When there is no relationship between the independent and dependent variables, the regression line will be a completely horizontal line at the mean of Y. This means that regardless of the value of X, the predicted value of Y will remain the same, which is the mean of Y.

We Run a Simple Regression Using an Independent Variable X