Let X1, X2, X3 be jointly distributed random variables with zero means, unit variances, and covariances Cov [X1, X2] = 0.80, Cov [X1, X3] = -0040, Cov [X2, X3] = -0.60. Find (i) the best linear predictor of X1 given X2, (ii) the best linear predictor of X3, given X2, (iii) the partial correlation between X1 and X3, given X2, (iv) the best linear predictor of X1given X2 and X3, (v) the residual variance of X1, given X2 and X3 , (vi) the residual variance of X1 given X2.