Let X and Y be random variables of the continuous type havin

Let X and Y be random variables of the continu­ous type having the joint pdf f(x,y) = 2, 0 LE y LE x LE 1. Draw a graph that illustrates the domain of this pdf. Find the marginal pdfs of X and Y. Compute mux, muY, sigma^2x,sigma^2y, Cov(X, Y), and rho. Determine the equation of the least squares regres­sion line and draw it on your graph. Does the line make sense to you intuitively?

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