What information do the slopes in a multiple regression equation provide about the correlation coefficient?
A) The slopes tell us nothing about the correlation coefficient.
B) The sign of the slope (positive or negative) tells us the direction of the correlation.
C) The slope sign is inversely related to the direction of the correlation.
D) The magnitude of the slope tells us how strong the correlation coefficient is.

Question

Quizplus · Accepted Answer

The sign of the slope (positive or negative) tells us the direction of the correlation. If the slope is positive, it indicates a positive correlation (as one variable goes up, so does the other), and if it is negative, it indicates a negative correlation (as one variable goes up, the other goes down). The magnitude of the slope, however, tells us about the strength of the relationship between the variables, not the correlation coefficient specifically.

What Information Do the Slopes in a Multiple Regression Equation