Answered: Compute μX, μY, σ2X, σ2Y,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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I send this question before only solutions to (a) and (b) please solve (c) and (d)

4. Let X and Y have the joint pmf defined by f(0,0) = f(2,1) = 0.3, f(1,0) = f(1,1) = 0.2
(a) Depict the points and corresponding probabilities on a graph.
(b) Give the marginal pmfs in the “margins.”
(c) Compute μ_X, μ_Y, σ²_X, σ²_Y, Covariance(X,Y ), and ρ.
(d) Find the equation of the least squares regression line and draw it on your graph. Does
the line make sense to you intuitively?

Definition Definition Measure of how two random variables change together. Covariance indicates the joint variability or the directional relationship between two variables. When two variables change in the same direction (i.e., if they either increase or decrease together), they have a positive covariance. When the change is in opposite directions (i.e., if one increases and the other decreases), the two variables have a a negative covariance.

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