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Briefly explain Karl Pearson’s co-effecient of correlation?

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Karl Pearson’s Coefficient of Correlation: 

1. Karl Pearson’s Method is popularly known as Pearson’s coefficient of correlation denoted by the symbol V. 

2. The coefficient of correlation V measures the degree of linear relationship between two variables say X and Y. 

3. The Formula for computing Karl Pearson’s Coefficient of correlation is:

‘r’ is caluculated by Direct Method without taking deviation of terms either from actual mean or assumed mean.

(II) r is calculated by taking the Deviation from actual mean.

(III) ‘r’ is caluculated by taking assumed mean

Where dx refers to deviations of x series from assumed mean (x –x ), dy refers to deviations of y series from an assumed mean of (y – y)

Σdxdy = Sum of product of the deviations x and y series from their assumed means.

Σdx2 = Sum of the squares of the deviation of x series from an assumed mean

Σdy2 = Sum of the squares of the deviations of y series from an assumed mean

Σdx = Sum of the deviation of x series from an assumed mean of x

Σdy = Sum of the deviation of y series from an assumed mean of y

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