Let X and Y be random variables of the continuous type having the joint pdf f(x, y) 8xy, 0 x y 1 Draw a graph that illustrates the domain of this pdf (a) Find the marginal pdfs of X and Y (b) Compute X, Y, 2X, 2Y, Cov(X, Y), and (c) Determine the equation of the least squares regression line and draw it on your graph Does the line make sense to you intuitively

Question: Let X and Y be random variables of the continuous type having the joint pdf f(x, y) = 8xy, 0 x y

Let X and Y be random variables of the continuous type having the joint pdf f(x, y) = 8xy, 0 ≤ x ≤ y ≤ 1.
Draw a graph that illustrates the domain of this pdf.
(a) Find the marginal pdfs of X and Y.
(b) Compute μX, μY, σ2X, σ2Y, Cov(X, Y), and ρ.
(c) 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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