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Which of the Following Formula Is Used to Compute Covariance cov⁡(X,Y)=∑i=1N(xi−μx)(yi−μy)N \operatorname{cov}(\mathrm{X}, \mathrm{Y})=\frac{\sum_{i=1}^{N}\left(x_{i}-\mu_{x}\right)\left(y_{i}-\mu_{y}\right)}{N}

Question 2

Multiple Choice

Which of the following formula is used to compute covariance between two variables X and Y?


A) cov⁡(X,Y) =∑i=1N(xi−μx) (yi−μy) N \operatorname{cov}(\mathrm{X}, \mathrm{Y}) =\frac{\sum_{i=1}^{N}\left(x_{i}-\mu_{x}\right) \left(y_{i}-\mu_{y}\right) }{N}

B) cov⁡(X,Y) =∑i=1N(xi−μx) 2N \operatorname{cov}(\mathrm{X}, \mathrm{Y}) =\frac{\sum_{i=1}^{N}\left(x_{i}-\mu_{x}\right) ^{2}}{N}

C) cov⁡(X,Y) =∑i=1N(xi−μx) 2yi−μy \operatorname{cov}(\mathrm{X}, \mathrm{Y}) =\sum_{i=1}^{N} \frac{\left(x_{i}-\mu_{x}\right) ^{2}}{y_{i}-\mu_{y}}

D) cov⁡(X,Y) =∑i=1N(xi−μx) 2N2 \operatorname{cov}(\mathrm{X}, \mathrm{Y}) =\sqrt{\frac{\sum_{i=1}^{N}\left(x_{i}-\mu_{x}\right) ^{2}}{N^{2}}}

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