Which of the following best describes the difference between the
interpretation of the correlation coefficient and the beta
coefficient for a regression equation expressing the relationship
between variables X and Y?
A. The correlation coefficient predicts increases or decreases
in Y with increases or decreases in X, whereas the beta coefficient
provides a unit-free measure of the strength of the
relationship.
B. The beta coefficient represents the difference between
observed and expected values of Y, whereas the correlation
coefficient represents the linear relationship between X and Y
C. The beta coefficient represents the linear relationship
between X and Y, whereas the correlation coefficient represents the
percent variability in Y explained by X
D. The beta coefficient predicts increases or decreases in Y
with increases or decreases in X, whereas the correlation
coefficient provides a unit-free measure of the strength of the
relationship.