Suppose One Runs the Regression of Y on X₁ and X₂

question 34

Multiple Choice

Suppose one runs the regression of Y on X₁ and X₂ and both coefficients on X₁ and X₂ are positive. All of the following correlation conditions must hold in the sample except for which one?

• A) The semi-partial correlation between Y and X₂ holding X₁ constant must be positive.
• B) The semi-partial correlation between Y and X₁ holding X₂ constant must be positive.
• C) The partial correlation between Y and X₂ holding X₁ constant must be positive.
• D) None of the answers is correct.

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