If , and are uncorrelated statistical variables with standard deviations , and respectively, and and , then the correlation coefficient between and is
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2 marks, −1StatisticsJoint distributions, covariance and correlationCovariance and its propertiesHardabout 3 min
DSE 2005 Question 22: Joint distributions, covariance and correlation
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If X, Y and Z are uncorrelated statistical variables with standard deviations 5, 12 and 9 respectively, and U=X+Y and V=Y+Z, then the correlation coefficient between U and V is (A) 12/65 (B) 144/288 (C) 48/65 (D) 144/169
Joint distributions, covariance and correlation has come up 61 times in 7 exams since 2005.
What this question tests
This question is on Covariance and its properties, part of Joint distributions, covariance and correlation in Statistics.
How two variables move together and how covariance combines.
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Question from the DSE 2005 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.