Assuming a linear relationship between X and Y, if the coefficient of correlation (r) equals- 0.30,
A)there is no correlation.
B)the slope (b1)is negative.
C)variable X is larger than variable Y.
D)the variance of X is negative.

Question

Quizplus · Accepted Answer

The coefficient of correlation (r) indicates the direction and strength of a linear relationship between two variables. A negative value, such as -0.30, suggests a negative linear relationship, meaning as one variable increases, the other decreases. This implies that the slope (b1) of the regression line is negative, as the slope determines the direction of the line in the linear regression equation. The other options are incorrect interpretations of the coefficient of correlation.

Assuming a Linear Relationship Between X and Y, If the Coefficient