Suppose the (population) covariance and correlation between two variables X and Y is given by 20 and 6, respectively, and the (population) covariance and correlation between two variables X and Z is given by 200 and 3, respectively Then a There is a positive relationship between both X and Y, as well as X and Z, but the relationship is stronger between X and Y because they exhibit a higher covariance b There is a positive relationship between both X and Y, as well as X and Z, but the relative strenghts of these relationships cannot be determined c Although there is a high covariance between both X and Y, as well as between X and Z, we cannot determine whether it is positive or negative because the correlations are too small d There is a positive relationship between both X and Y, as well as X and Z, but the relationship is stronger between X and Y because they exhibit a higher correlation e none of these options

Question

Suppose the (population) covariance and correlation between two variables X and Y is given by 20 and  6, respectively, and the (population) covariance and correlation between two variables X and Z is given by 200 and  3, respectively  Then a  There is a positive relationship between both X and Y, as well as X and Z, but the relationship is stronger between X and Y because they exhibit a higher covariance  b  There is a positive relationship between both X and Y, as well as X and Z, but the relative strenghts of these relationships cannot be determined  c  Although there is a high covariance between both X and Y, as well as between X and Z, we cannot determine whether it is positive or negative because the correlations are too small  d  There is a positive relationship between both X and Y, as well as X and Z, but the relationship is stronger between X and Y because they exhibit a higher correlation  e  none of these options

Accepted Answer

The Answer is in the image, click to view ...

	a.	There is a positive relationship between both X and Y, as well as X and Z, but the relationship is stronger between X and Y because they exhibit a higher covariance.
	b.	There is a positive relationship between both X and Y, as well as X and Z, but the relative strenghts of these relationships cannot be determined.
	c.	Although there is a high covariance between both X and Y, as well as between X and Z, we cannot determine whether it is positive or negative because the correlations are too small.
	d.	There is a positive relationship between both X and Y, as well as X and Z, but the relationship is stronger between X and Y because they exhibit a higher correlation.
	e.	none of these options

Question

Suppose the (population) covariance and correlation between two variables X and Y is given by 20 and .6, respectively, and the (population) covariance and correlation

Step by Step Solution

Step: 1

Get Instant Access to Expert-Tailored Solutions

Step: 2

Step: 3

Ace Your Homework with AI

Recommended Textbook for

Discrete Mathematics, Edition

Students also viewed these Mathematics questions

Question

Question

Question

Question

Question

Question

Question

Question

Question

Question

Question

Question

Question

Question