4. (25 pts, 25/6 pts each) Let X and Y be random variables of the continuous type having the joint p.d.f. f(x, y) = 8xy,0 £ x £ y £ 1. 1) Draw a graph that illustrates the domain of this p.d.f. 2) C...

Question

Question

4. (25 pts, 25/6 pts each) Let X and Y be random variables of the continuous type having the joint p.d.f.

f(x, y) = 8xy,0 £ x £ y £ 1.

1) Draw a graph that illustrates the domain of this p.d.f.

2) Calculate the marginal p.d.f.s of X and Y.

3) Compute

4) Compute

5) Write out the equation of the least squares regression line and draw it in a graph.

6) If your calculations are correct, in 3) and the slope in 5) are both positive. Explain the relation between Y and X using and the slope.

Answer 1

Answer #1

he s independe nt ane is dedetend is. in depen l 4,1%).g.fx, y (X. Đ.dg is to ke fr (s) = CJ&y (x,1).dx heb Coレ(x,y

Answer 2

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