**Use this calculator to calculate the correlation coefficient from a set of bivariate data. **

This calculator can be used to calculate the **sample correlation coefficient**.

Enter the x,y values in the box above. You may enter data in one of the following two formats:

- Each x
_{i},y_{i}couple on separate lines:

x_{1},y_{1}

x_{2},y_{2}

x_{3},y_{3}

x_{4},y_{4}

x_{5},y_{5}

- All x
_{i}values in the first line and all y_{i}values in the second line:

x_{1},x_{2},x_{3},x_{4},x_{5}

y_{1},y_{2},y_{3},y_{4},y_{5}

Press the "Submit Data" button to perform the calculation. The correlation coefficient will be displayed if the calculation is successful. To clear the calculator and enter new data, press "Reset".

The **correlation coefficient**, or **Pearson product-moment correlation coefficient (PMCC)** is a numerical value between -1 and 1 that expresses the **strength of the linear relationship between two variables**.When r is closer to 1 it indicates a strong positive relationship. A value of 0 indicates that there is no relationship. Values close to -1 signal a strong negative relationship between the two variables. You may use the linear regression calculator to visualize this relationship on a graph.

There are many formulas to calculate the correlation coefficient (all yielding the same result). This calculator uses the following:

where *n* is the total number of samples, *x _{i} (x_{1}, x_{2}, ... ,x_{n})* are the x values and y