1.

From the following data, compute the coefficient of correlation between X and Y series. Summation of product of deviations of X and Y series from their respective arithmetic mean =41

Answer»

Solution :We are given
`N=6,bar(X)=350,bar(Y)=138,sumx^(2)=19,sumy^(2)=94,sumxy=41`
`R=(sumxy)/(sqrt(sumx^(2)xxsumy^(2)))`
Substituting the values, we get
`r=(41)/(sqrt(19xx94))=(41)/(sqrt(1,786)=(41)/(sqrt(42.26)=0.97`
Coefficient of CORRELATION (r)=+0.97


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