Question

if coefficient of correlation between x and y is 0.28 covariance between x and y is 7.6 and the variance of x is 9 then s.d of y series is​

Answer 1

standard deviation of Y series = 9.05

Step-by-step explanation:

Correlation coefficient = cov (x,y)/ (std deviation (x) ×std deviation (y))

Correlation coefficient  = 0.28

cov (x,y) = 7.6

variance of x is 9.  

=> std deviation (x) = √variance  of X = √9 = 3

=>  0.28  = 7.6 / ( 3 * std deviation (y))

=> std deviation (y) = 7.6 / ( 3 * 0.28)

=> std deviation (y) = 9.05

standard deviation of Y series = 9.05

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