Suppose you know that the regression coefficients for the line that predicts the height of pine trees from annual rainfall are a = 10, b = -1.0. Knowing this, you can conclude that the correlation coefficient for these data is
A) positive
B) negative
C) perfect
D) none of the other alternatives are correct.

Question

Quizplus · Accepted Answer

The correlation coefficient indicates the direction of the linear relationship between two variables. Since the slope (b) of the regression line is negative (-1.0), this means that as annual rainfall increases, the predicted height of pine trees decreases, indicating a negative correlation between the two variables.

Suppose You Know That the Regression Coefficients for the Line