Suppose that Y₁ and Y₂ are uniformly distributed over the triangle shaded in the accompanying figure.3₂(0, 1)(-1,0)(a) Find Cov(Y₁ Y₂).Cov(Y₁, Y₂)=(b) Are Y₁ and Y₂ independent?YesO No(1, 0)(c) Find the coefficient of correlation for Y₁ and Y₂.P=y/₁(d) Does your answer to part (b) lead you to doubt your answer to part (a)? Why or why not?O Even though Cov(Y₁Y₂) # 0, Y₁ and Y₂ are not necessarily dependent.Since Cov(Y₁ Y₂) # 0, we should expect Y₁ and Y₂ to be dependent.O Since Cov(Y₁, Y₂) = 0, we should expect Y₁ and Y₂ to be independent.O Even though Cov(Y₁Y₂) = 0, Y₁ and Y₂ are not necessarily independent.

Answer: Given joint probability distribution function of is (a) Let andbe jointly continuous…

Answered: coefficient of correlation for Y₁ and…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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The value of the correlation r = (x,y) for the information would be: n = 8, Sum(x) = 609, Sum(y) = 504, Sum (x)^2 = 47995, Sum (y)^2 = 32954, and Sum (xy) = 395650 0.255 0.147 0.855 0.174
The value of the correlation r = (x,y) for the information would be: n = 8, Sum(x) = 609, Sum(y) = 504, Sum (x)^2 = 47995, Sum (y)^2 = 32954, and Sum (xy) = 395650 Choose answer from the following: a. 0.855 b.0.174
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