If the coefficient of correlation is a positive value, then the
A) intercept of the regression line must also be positive.
B) coefficient of determination can be either a negative or a positive value, depending on the slope.
C) regression equation could have either a positive or a negative slope.
D) slope of the regression line must be positive.

Question

Quizplus · Accepted Answer

The coefficient of correlation measures the strength and direction of the linear relationship between two variables. If the coefficient of correlation is positive, then there is a positive linear relationship between the two variables. This means that as one variable increases, so does the other. Since the regression line represents this linear relationship, it must have a positive slope. Therefore, the best choice is D.

If the Coefficient of Correlation Is a Positive Value, Then