In simple linear regression, if the correlation coefficient is a positive value, then the slope of the estimated regression line
A)must also be positive
B)can be either negative or positive
C)can be zero
D)must be negative
E)none of the above

Question

Quizplus · Accepted Answer

The slope of the estimated regression line in simple linear regression is directly related to the correlation coefficient. If the correlation coefficient is positive, it indicates a positive relationship between the variables, meaning as one variable increases, the other tends to increase as well. Therefore, the slope must also be positive.

In Simple Linear Regression, If the Correlation Coefficient Is a Positive