Question

In: Statistics and Probability

. Let X1,X2,and X3 be three random variables with means, variances, and correlation coefficients, denoted by...

. Let X1,X2,and X3 be three random variables with means, variances, and correlation coefficients, denoted by μ1, μ2, μ3; σ² 1,σ² 2,σ² 3; and ρ12, ρ13, ρ23, respectively.

For constants b2 and b3, suppose

E(X1−μ1|x2, x3) = b2(x2−μ2)+b3

Determine b2 and b3 in terms of the variances and the correlation coefficients

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