If the coefficient of correlation is a positive value, then the slope of the regression line _____.
A) must also be positive
B) can be either negative or positive
C) can be 0
D) None of the answers is correct.

Question

Quizplus · Accepted Answer

The coefficient of correlation measures the strength and direction of the linear relationship between two variables. A positive coefficient means that the relationship between the variables is positive (as one variable increases, the other variable also increases). Since the regression line represents the linear relationship between the variables, a positive slope is consistent with a positive correlation. Therefore, the slope of the regression line must also be positive.

If the Coefficient of Correlation Is a Positive Value, Then