ρ(X−Y,X+Y)= 0
ρ(X+Y,Y+Z)= 0.5
ρ(X,Y+Z)= 0
ρ(W,V)= (b)/((b^2+2c^2)^0.5)
hope it helps! I am needing the other answers to the whole problem set
Consider the random variables X, Y and Z, which are given to be pairwise uncorrelated (i.e., X and Y are uncorrelated, X and Z are uncorrelated, and Y and Z are uncorrelated). Suppose that
E[X]=E[Y]=E[Z]=0,
E[X2]=E[Y2]=E[Z2]=1,
E[X3]=E[Y3]=E[Z3]=0,
E[X4]=E[Y4]=E[Z4]=3.
Let W=a+bX+cX2 and V=dX, where a,b,c, and d are constants, all greater than 0.
Find the correlation coefficients ρ(X−Y,X+Y), ρ(X+Y,Y+Z), ρ(X,Y+Z) and ρ(W,V).
ρ(X−Y,X+Y)=- unanswered
ρ(X+Y,Y+Z)=- unanswered
ρ(X,Y+Z)=- unanswered
1 answer