Two continuous random variables X and Y have the joint density function fxy(x,y)=c(x+2y) for 0<x<1 and 0<y<1 Answer the following question

Now Define ε such that Y=E(Y|X)+ε

4) Give your calculation for E(ε) Find Var(ε|X). Is homoskedasticity satisfied for a random generated sample from (X,Y) please explain

5)Find E(Xε)

6) Find p(X,Y) Does a big value of |p(X,Y)| imply the existence of causality?

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