If the correlation coefficient (r) = 1.00, then
A) the Y-intercept (b₀) must equal 0.
B) the explained variation equals the unexplained variation.
C) there is no unexplained variation.
D) there is no explained variation.

Question

Quizplus · Accepted Answer

A correlation coefficient of 1.00 indicates a perfect positive relationship between two variables, where all data points lie on a straight line. This means there is no unexplained variation, as all points fit perfectly on the line. The Y-intercept can be any value as long as the slope is 1, so it is not necessarily 0. Similarly, there is still explained variation, as the relationship between the two variables is perfect.

If the Correlation Coefficient (R) = 1.00, Then