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

When the correlation coefficient (r) = 1.00, it indicates a perfect positive linear relationship between two variables, meaning all points lie exactly on a straight line. In this scenario, the explained variation (variation in the dependent variable that is predictable from the independent variable) accounts for all the variation in the dataset, leaving no unexplained variation (variation that is not accounted for by the linear model).

If the Correlation Coefficient (R) = 1.00, Then