Question: 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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