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You regress Y on X, then swap them and regress X on Y on the same data. How are the two slopes related, and what happens to R^2?

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What are the assumptions of linear regression, and what happens if they are violated?You regress Y on X, then append a copy of the data so the sample is twice as long and rerun the regression. How do the coefficient, its t-statistic and R^2 change?

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