If the correlation between two variables is 1, then the points of their scatterplot:
A) all lie within 1 unit of the regression line.
B) all lie within $\frac{1}{2}$ unit of the regression line.
C) all lie on the regression line.
D) lie so that exactly half of the points are on each side of the regression line.

Question

Quizplus · Accepted Answer

A correlation of 1 implies a perfect positive linear relationship between the two variables. It means that all the points in the scatterplot lie on the same line, which is the regression line. Thus, the answer is (C) all lie on the regression line.

If the Correlation Between Two Variables Is 1, Then the Points