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Questions › DSE › DSE 2010 › Q43
2 marksStatistics › Joint distributions, covariance and correlation › The correlation coefficientModerateabout 3 min

DSE 2010 Question 43: Joint distributions, covariance and correlation

Suppose the random variable XXX takes values in {−1,0,1}\{-1,0,1\}{−1,0,1} with equal probability. Let Y=X2Y=X^{2}Y=X2. Which of the following statements is true?

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Suppose the random variable X takes values in {-1,0,1} with equal probability. Let Y=X². Which of the following statements is true? (A) X and Y are correlated but independent (B) X and Y are uncorrelated but dependent (C) X and Y are dependent and have the same mean (D) X and Y are correlated and have different means

Also written as: Suppose the random variable X takes values in {-1,0,1} with equal probability. Let Y=X^2. Which of the following statements is true?

Joint distributions, covariance and correlation has come up 61 times in 7 exams since 2005.

What this question tests

This question is on The correlation coefficient, part of Joint distributions, covariance and correlation in Statistics.

The standardised measure of linear association and what it can and cannot show.

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