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Which of the following phrases makes this a correct statement: “If the covarianc

ID: 3437161 • Letter: W

Question

Which of the following phrases makes this a correct statement: “If the covariance between two variables is negative, then …

… the correlation coefficient will be greater than 1.”

… we know for sure that the correlation coefficient between those two variables is also negative.”

… the variance of at least one of the variables must be negative.”

None of the above.

… the correlation coefficient will be greater than 1.”

… we know for sure that the correlation coefficient between those two variables is also negative.”

… the variance of at least one of the variables must be negative.”

None of the above.

Explanation / Answer

(a) is wrong because correlation coefficient only varies between -1 and 1, (b) is correct as the sign of corerlation and covariance is same, (c) is wrong because variance is never negative.

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