Let X and Y be random variables with Var(X)=0.64, Var(Y)=0.81, and Cov(X,Y) = 0.5. Find each of the following to two decimal places (if applicable). (a) Coefficient of correlation p(X,Y) 0.694 (b) Var(3X+Y+1) 9.57 (c) Cov(-2Y, 3X+Y+1) (d) p(-2Y, 3X+Y+1)
Let X and Y be random variables with Var(X)=0.64, Var(Y)=0.81, and Cov(X,Y) = 0.5. Find each of the following to two decimal places (if applicable). (a) Coefficient of correlation p(X,Y) 0.694 (b) Var(3X+Y+1) 9.57 (c) Cov(-2Y, 3X+Y+1) (d) p(-2Y, 3X+Y+1)
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 5E
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![Let X and Y be random variables with Var(X)=0.64, Var(Y)=0.81, and Cov(X,Y) = 0.5. Find each of the following to two decimal places (if applicable).
(a) Coefficient of correlation p(X,Y) 0.694
(b) Var(3X+Y+1) 9.57
(c) Cov(-2Y, 3X+Y+1)
(d) p(-2Y, 3X+Y+1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d69634b-8a8a-4609-8704-3bdadaefe256%2F60983d78-5e2b-4047-8598-265cd225ccbb%2F9ql2n1k_processed.png&w=3840&q=75)
Transcribed Image Text:Let X and Y be random variables with Var(X)=0.64, Var(Y)=0.81, and Cov(X,Y) = 0.5. Find each of the following to two decimal places (if applicable).
(a) Coefficient of correlation p(X,Y) 0.694
(b) Var(3X+Y+1) 9.57
(c) Cov(-2Y, 3X+Y+1)
(d) p(-2Y, 3X+Y+1)
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