Question
Download Solution PDFThe coefficient of correlation between two variables X and Y is 0.48. The covariance is 36. The variance of X is 16. The standard deviation of Y is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
σx = √16 = 4
r = 0.48
Covariance = ∑xy/N = 36
Fomula
Covariance = ∑xy/N
r = ∑xy/N.σx × σy
Calculation
According to question
⇒ 0.48 = 36/4 × σy
⇒ σy = 9/0.48
∴ The standard deviation of y(σy) is 18.75
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