SOLUTION: 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 rel

Question 1027145: 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 beta coefficient represents the linear relationship between X and Y, whereas the correlation coefficient represents the percent variability in Y explained by X
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 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.
D) 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.

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
C) 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.
Correlation coefficient measures the strength of the linear association between X and Y, while you can think of beta as an estimated slope of the regression line.
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