Tuesday, June 15, 2010

Correlation Coefficient

Introduction:

            Correlation Coefficient also called as Cross Correlation Coefficient. It is used to find the quality of the of least squares fitting to the given data. Calculates of the power of linear connection between two variables. Correlation is forever between -1.0 and +1.0. If the correlation is +ve, we have a +ve relationship If it is -ve, the relationship is -ve. Calculates of the power of linear connection between two variables. Correlation is forever between -1.0 and +1.0. If the correlation is +ve, we have a +ve relationship. If it is -ve, the relationship is -ve.

Correlation Co-efficient Formula:
`"Correlation(r)" =[ NsumXY - ((sumX)(sumY)) / (sqrt([NsumX^2 - (sumX)^2][NsumY^2 - (sumY)^2])]]`
Where              N = Number of values or elements
              X = 1st Score
              Y = 2nd Score
              ` sum` XY = Sum of the product of 1st and 2nd Scores
              `sum` X = Sum of 1st Scores
              `sum` y = Sum of 2nd Scores
              `sum` x2 = Sum of square 1st Scores
              `sum` y2 = Sum of square 2nd Scores
Hope you like the above explanation, Please leave your comments, if you have any doubts.

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