Consider the standard simple regression model y = Bo + Bx + u under standard assumptions The usual OLS estimators B, and 3, are unbiased for their respective population parameters. Let B, be the estimator of B, obtained by assuming the intercept is zero. (i) (ii) (iii) (iv) Find E(3) in terms of the x, Bo, and B. Verify that B is unbiased for B, when the population intercept (B) is zero. Are there other cases where B is unbiased? (x x), with Find the variance of B. (Hint: The variance does not depend on Bo.) Show that Var(B) Var(B). [Hint: For any sample of data, strict inequality unless x = 0.] Comment on the tradeoff between bias and variance when choosing between 3, and B.