The covariance of X and Y is > 0, which of the following statement is a correct one?a.As X increases, Y decreasesb.As X decreases, Y decreasesc.As X increases, Y stays the samed.X and Y are independent of each other

We have given the following statement about covariance.

Answered: The covariance of X and Y is > 0, which…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter1: Expressions And Functions

Section1.6: Relations

Problem 2AGP

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The covariance of X and Y is > 0, which of the following statement is a correct one?

As X increases, Y decreases

As X decreases, Y decreases

As X increases, Y stays the same

X and Y are independent of each other

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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