In a simple linear regression model, the regression slope coefficient will have the same sign as the correlation coefficient.

Question

Quizplus · Accepted Answer

This is true because the correlation coefficient measures the direction and strength of the linear relationship between two variables, while the regression slope coefficient measures the change in the dependent variable for a unit change in the independent variable. If there is a positive correlation between the variables, then the regression slope coefficient will be positive as well. Similarly, if there is a negative correlation between the variables, then the regression slope coefficient will be negative.

In a Simple Linear Regression Model, the Regression Slope Coefficient