Enter the individual sample points and their means into the calculator to determine the Sample Correlation Coefficient R. This calculator can also evaluate any of the variables given the others are known.

## Sample Correlation Coefficient R Formula

The following formula is used to calculate the Sample Correlation Coefficient R.

R = Σ[(xi - x̄)(yi - ȳ)] / √[(Σ(xi - x̄)^2)(Σ(yi - ȳ)^2)]

Variables:

• R is the Sample Correlation Coefficient xi and yi are the individual sample points indexed with i x̄ is the mean of the x values ȳ is the mean of the y values

## What is a Sample Correlation Coefficient R?

The Sample Correlation Coefficient R, also known as Pearson’s correlation coefficient, is a statistical measure that calculates the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0. A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement. A correlation of -1.0 shows a perfect negative correlation, while a correlation of 1.0 shows a perfect positive correlation. A correlation of 0.0 shows no linear relationship between the movement of the two variables.