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Suppose the correlation between X 1 and Y is -0.45, the correlation between X 2 and X 1 is 0.45, and the correlation between X
Suppose the correlation between X1and Y is -0.45, the correlation between X2and X1is 0.45, and the correlation between X2and Y is 0.75. Which regression (using the least squares criterion) will have thesmallestR2?I) regress Y on X1; II)regress Y on X2; III) regress Y on X1and X2.
a.II)
b.It might be I) or III).Further information is needed
c.I)
d.III)
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