Question: (a) Consider the special case with on = (l but am,- 75 D so that the model becomes 3 (a) Consider the special case with

(a) Consider the special case with on\" = (l but am,- 75 D so that the model becomes 3

(a) Consider the special case with Y 0 so that the model becomes 0 but cy What is the best linear prediction of Y given X (i.e., suppose I give you the value of X but withhold the value of Y, what would be your best guess of Y according to the MSE criterion?) What is the best linear prediction of X given Y? (b) Consider the special case with 0 but so that the model becomes What is the best linear prediction of Y given X? What is the best linear prediction of X given (c) Now suppose 0 and O_ Under what condition(s) is X useless as a predictor of Y? Under what condition(s) is Y useless as a predictor of X? Explain.

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