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
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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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