For three variables, X₁, X₂, and X₃, the bivariate correlation coefficients are: R₁₂ = 0.7; r₁₃ = 0; r₂₃ = 0. The correlation of X₁ and X₂ controlling for X3 will be A) stronger than the bivariate correlation r₁₂. B) weaker than the bivariate correlation r₁₂. C) the same as the bivariate correlation r₁₂. D) uncertain.

Question

Quizplus · Accepted Answer

Since r₁₃ = 0 and r₂₃ = 0, X₃ is not correlated with either X₁ or X₂, so controlling for X₃ does not change the correlation between X₁ and X₂.

For Three Variables, X1, X2, and X3, the Bivariate Correlation

For Three Variables, X₁, X₂, and X₃, the Bivariate Correlation