1.

Calculate coefficient of correlation,between the age of husbands and wives.

Answer»

Solution :
X=(X-BAR(X)),y=(Y-bar(Y))
`bar(X)=(sunX)/(N)=(174)/(6)=29,bar(Y)=(sumY)/(N)=(156)/(6)=26`
`sumxy=191=sumx^(2)=208,sumy^(2)=178`
`r=(sumxy)/(sqrt(sumx^(2)xxsumy^(2)))`
`r=(191)/(sqrt(208xx178))`
`=(191)/(sqrt(37,024))`
`=(191)/(192.42)=0.993`
Coefficient of Correlation (r)=0.993
Thus, there is a high degree of POSITIVE correlation between the age of husband and wife.


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