Sample correlation matrix (R)

The sample correlation matrix R is shown below. Of course the relationship between two of the same variables is a full 1.00, and the correlation between two different variables being the same regardless of the order (e.g. the relation between and , is the same as the relation between and ). The sample correlation matrix is calculated as follows,

For a data set with three variables it would look as such,

For our data set we get these results,

And thus the sample correlation matrix is as follows,