When the slope of a simple linear regression equation is a negative value, the correlation coefficient can be either positive or negative.

Question

Quizplus · Accepted Answer

The correlation coefficient, which ranges from -1 to 1, indicates the direction of the relationship between two variables. If the slope of a simple linear regression equation is negative, it means that as one variable increases, the other decreases, indicating a negative correlation. Therefore, the correlation coefficient must also be negative.

When the Slope of a Simple Linear Regression Equation Is