Correlation coefficients is an statistical instrument to measure the compatibility among two variables. In other words it is used to see how good the expected values from a forecast model with the real-life data. It is usually between -1 and 1. This calculator is used to calculate the coefficients relationship between two numbers.

The formula for Correlation Coefficient is r = $\frac {n(\sum xy)-(\sum x)(\sum y)} {\sqrt{\left [ n\sum x^{2}- (\sum x)^{2} \right ] \left [ n \sum y^{2}-(\sum y)^{2} \right ]}}$

Where $\sum X$ = it is the sum of all X Values.
$\sum Y$ = it is the sum of all Y values.
$\sum X^{2}$ = it is the square of each X value.
$\sum Y^{2}$ = it is the square of each Y value.
$\sum X*Y$ = it is the product of each X value and Y value.
n = It is numbers of pairs in data.

## Steps of Correlation Coefficient

Below you could see the steps

Step 1 : Find the Value of $\sum x, \sum y, \sum x^{2}, \sum y^{2}, \sum x*y$.

Step 2 : Find value of n ?

Step 3 : Find the Correlation Coefficient, r = $\frac {n(\sum xy)-(\sum x)(\sum y)} {\sqrt{\left [ n\sum x^{2}- (\sum x)^{2} \right ] \left [ n \sum y^{2}-(\sum y)^{2} \right ]}}$

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