If the coefficient of correlation is a negative value, then the
A) intercept of the regression line must also be positive.
B) coefficient of determination can be either a negative or a positive value, depending on the slope.
C) regression equation could have either a positive or a negative slope.
D) slope of the regression line must be negative.

Question

Quizplus · Accepted Answer

A negative coefficient of correlation indicates a negative association between the two variables, meaning that as one variable increases, the other tends to decrease. The slope of the regression line must therefore also be negative, as it represents the direction and magnitude of the relationship between the variables. The intercept and coefficient of determination are not dependent on the sign of the coefficient of correlation.

If the Coefficient of Correlation Is a Negative Value, Then