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Compute the Product Moment Coefficient of Correlation for the Following Data:

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Question

Compute the product moment coefficient of correlation for the following data: 
n = 100, `bar x` = 62, `bary` = 53, `sigma_x` = 10, `sigma_y` = 12

`Sigma (x_i - bar x) (y_i - bary) = 8000`

Sum
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Solution

Given : n = 100, `bar x` = 62, `bary` = 53, `sigma_x` = 10, `sigma_y` = 12

`Sigma (x_i - bar x) (y_i - bary) = 8000`

Cov (X,Y) = `(Sigma (x_i - bar x) (y_i - bary))/n`

               = `8000/100`

Cov (X,Y) = 80

Product moment correlation coefficient.

r = `(cov(X,Y))/(sigmax  sigmay)`

 = `80/(10 xx 12)`

r = 0.667

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2013-2014 (October)

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