Product moment coefficient (r), Mathematics

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Product Moment Coefficient (r)

This gives an indication of the strength of the linear relationship among two variables.

Note that this formula can be rearranged to have different outlooks however the resultant is always the similar.

Illustration

Given data was observed and it is required to establish if there exists a relationship among the two.

X	15	24	25	30	35	40	45	65	70	75
Y	60	45	50	35	42	46	28	20	22	15

Solution

Calculate the product moment coefficient of correlation r:

114_Product Moment Coefficient (r).png

Hence the correlation coefficient indicates a strong negative linear association among the two variables.

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