If the correlation coefficient between two variables is 0.5 and the standard deviation of the variables...
If the correlation coefficient between two variables is 0.5 and the standard deviation of the variables is 5 and 10, respectively, then the sample covariance is approximately ...
| a. |
25 |
|
| b. |
50 |
|
| c. |
250 |
|
| d. |
Impossible to determine with any level of accuracy. |
Homework Answers
Answer
Correlation coefficient =covariance /(product of sandard
deviations)
0.5=covariance /(5*10)
covariance =50*0.5
covariance =25
the covariance is 25
option 1
ANSWER :
OPTION a : 25
[ Correlation coefficient, rxy = Covariancexy / (SDx * SDy)
=> 0.5 = Covariancexy / (5 * 10)
=> covariancexy = 0.5 * 5 * 10 = 25 ]
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