The correlation coefficient r always has the same sign as b1 in Y = b0 + b1X.

Question

Quizplus · Accepted Answer

The correlation coefficient r will always have the same sign as b1 in Y = b0 + b1X because the sign of b1 determines whether the relationship between X and Y is positive or negative, and the correlation coefficient measures the strength and direction of the linear relationship between two variables. Therefore, if b1 is positive, indicating a positive relationship between X and Y, the correlation coefficient will also be positive, and vice versa.

The Correlation Coefficient R Always Has the Same Sign as B1