A) \[0.89\]
B) \[-0.98\]
C) \[0.61\]
D) \[-0.16\]
Correct Answer: B
Solution :
Key Idea: If the variance of \[x\] and \[y\] is \[\operatorname{var}(x)\] and \[\operatorname{var}(y)\] and covariance of \[x\] and \[y\] is \[\operatorname{cov}(x,\,\,y)\], then the correlation coefficient is \[{{r}_{xy}}=\frac{\operatorname{cov}(x,\,\,y)}{\sqrt{\operatorname{var}(x)\cdot \operatorname{var}(y)}}\] \[=\frac{10.2}{16.74}\] \[=0.61\] Note: If two variables are independent, then correlation coefficient is zero.
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