Suppose that, as in Exercises 5.11 and 5.79, Y1 and Y2 are uniformly distributed over the triangle shaded in the accompanying diagram. (0, 1) (-1, 0) (1, 0) a Find Cov(Y,, Y2). b Are Y, and Y2 independent? (See Exercise 5.55.) c Find the coefficient of correlation for Y1 and Y2. d Does your answer to part (b) lead you to doubt your answer to part (a)? Why or why not?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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Suppose that, as in Exercises 5.11 and 5.79, Y1 and Y2 are uniformly distributed over the triangle
shaded in the accompanying diagram.
5.95
(0, 1)
(-1, 0)
(1, 0)
a Find Cov(Y1, Y2).
b Are Y1 and Y, independent? (See Exercise 5.55.)
Find the coefficient of correlation for Y1 and Y2.
d Does your answer to part (b) lead you to doubt your answer to part (a)? Why or why
not?
Transcribed Image Text:Suppose that, as in Exercises 5.11 and 5.79, Y1 and Y2 are uniformly distributed over the triangle shaded in the accompanying diagram. 5.95 (0, 1) (-1, 0) (1, 0) a Find Cov(Y1, Y2). b Are Y1 and Y, independent? (See Exercise 5.55.) Find the coefficient of correlation for Y1 and Y2. d Does your answer to part (b) lead you to doubt your answer to part (a)? Why or why not?
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