12.103 r2 and variances Suppose r2 = 0.30. Since 1y - yQ 22 is used in estimating...

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12.103 r2 and variances Suppose r2 = 0.30. Since Σ1y - yQ 22 is used in estimating the overall variability of the y values and Σ1y - yn22 is used in estimating the residual variability at any fixed value of x, explain why approximately the estimated variance of the conditional distribution of y for a given x is 30% smaller than the estimated variance of the marginal distribution of y.

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