In: Statistics and Probability
. 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