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
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 |
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