Solution Found!
LetX and Y have the joint pmf defined by f (0, 0) = f (1,
Chapter 4, Problem 2E(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?
Equation Transcription:
Text Transcription:
X
Y
f(0, 0) = f(1, 2) = 0.2, f(0, 1) = f(1, 1) = 0.3
mu_X, mu_Y, sigma_X^2, sigma_Y^2, Cov(X,Y)
rho
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?
Equation Transcription:
Text Transcription:
X
Y
f(0, 0) = f(1, 2) = 0.2, f(0, 1) = f(1, 1) = 0.3
mu_X, mu_Y, sigma_X^2, sigma_Y^2, Cov(X,Y)
rho
ANSWER:Answer
Step 1 of 11
Arrange the given Probabilities values in the graph
