Question

You are only given the correlation between Y and X. Based on that alone, you would be able to determine the R-squared of a regression of Y on X. True/False

Answer 1

Yes, correlation between Y and X is enough to determine the R- Square of a regression of Y on X. The proof is attached as follows.

where R-squared= R^{​​​​​ 2} and Correlation Coefficient= r.

Hence the statement is true.

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