If the coefficient of correlation is a positive value, then the slope of the regression line
A)must also be positive
B)can be either negative or positive
C)can be zero
D)None of these answers is correct.

Question

Quizplus · Accepted Answer

The coefficient of correlation measures the strength and direction of the relationship between two variables. If it is positive, it indicates that the two variables are positively related, meaning that as one variable increases, the other variable also tends to increase. In a linear regression model, the slope of the line represents the rate of change of the dependent variable with respect to the independent variable. Since a positive correlation means that the variables are moving in the same direction, the slope must also be positive.

If the Coefficient of Correlation Is a Positive Value, Then