Under what condition could the coefficient of multiple determination (R²)be lower in value than the zero-order correlation coefficients? A)under no condition;this is mathematically impossible B)only when all bivariate relationships are negative C)only when all bivariate relationships are zero D)only when the relationships are spurious

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Quizplus · Accepted Answer

The coefficient of multiple determination (R²) is always greater than or equal to the zero-order correlation coefficients. This is because R² is the proportion of variance in the dependent variable that is explained by the independent variables, and the zero-order correlation coefficients are the proportions of variance in the dependent variable that are explained by each independent variable individually. Therefore, R² can only be lower than the zero-order correlation coefficients if there is no relationship between the dependent variable and the independent variables, which is only possible when all bivariate relationships are zero.

Under What Condition Could the Coefficient of Multiple Determination (R2)be

Under What Condition Could the Coefficient of Multiple Determination (R²)be