The numerical value of the coefficient of determination.
A) is always larger than the coefficient of correlation.
B) is always smaller than the coefficient of correlation.
C) is negative if the coefficient of correlation is negative.
D) can be larger or smaller than the coefficient of correlation.

Question

Quizplus · Accepted Answer

The coefficient of determination (R²) can be larger or smaller than the coefficient of correlation (r). R² is the square of the correlation coefficient (r), meaning that it takes into account the proportion of variance in the dependent variable that is explained by the independent variable(s). Therefore, R² is always equal to or less than r because it is less sensitive to outliers and reflects the effect of all independent variables.

The Numerical Value of the Coefficient of Determination