Suppose one runs the regression of Y on X1 and X2 and the coefficient on X2 is positive. Which of the following correlation conditions must hold in the sample?
A) Y and X1 have a positive unconditional correlation.
B) Y and X2 have a positive unconditional correlation.
C) The partial correlation between Y and X2 holding X1 constant must be positive.
D) The semi-partial correlation between Y and X2 holding X1 constant must be positive.
Correct Answer:
Verified
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