Solution Found!
Let X and Y have the joint pmf defined by f(0, 0) = f(1, 2) = 0.2, f(0, 1) = f(1, 1) =
Chapter 4, Problem 4.2-2(choose chapter or problem)
Let X and Y have the joint pmf defined by f(0, 0) = f(1, 2) = 0.2, f(0, 1) = f(1, 1) = 0.3.
(a) Depict the points and corresponding probabilities on a graph.
(b) Give the marginal pmfs in the “margins.” (c) Compute \(\mu_{X}, \mu_{Y}, \sigma_{X}^{2}, \sigma_{Y}^{2}, \operatorname{Cov}(X, Y)\), and \(\rho\).
(d) Find the equation of the least squares regression line and draw it on your graph. Does the line make sense to you intuitively?
Questions & Answers
QUESTION:
Let X and Y have the joint pmf defined by f(0, 0) = f(1, 2) = 0.2, f(0, 1) = f(1, 1) = 0.3.
(a) Depict the points and corresponding probabilities on a graph.
(b) Give the marginal pmfs in the “margins.” (c) Compute \(\mu_{X}, \mu_{Y}, \sigma_{X}^{2}, \sigma_{Y}^{2}, \operatorname{Cov}(X, Y)\), and \(\rho\).
(d) Find the equation of the least squares regression line and draw it on your graph. Does the line make sense to you intuitively?
ANSWER:Step 1 of 5
Given that,
The X and Y are two random variables.
The joint pmf of x and Y are defined by and