This page includes **Step-by-Step** instructions to calculate a
**Multiple Correlation Coefficient, R**,** **using the formula.
We will use the data for the Water/Temperature/Time
Mowing example.

** Formula for two independent variables, X _{1} and X_{2}:**

**General Procedure: **

There are really ** two steps** to compute R:

- Compute each of the paired simple correlation coefficients. (ex for 2 independent variables: ).
- Substitute these values in the formula for R.

Since the more complicated part is finding each of the paired correlation coefficients, you may want to use Excel or Minitab to find each of the paired simple correlation coefficients. Minitab will compute a matrix listing all of pair-wise correlations. Click here for Minitab Instructions.

Click here if you need a reminder of how to compute the
simple
correlation coefficients, r, using the formula. See the
Level
II: Correlation tutorial if you need to know how to use Excel or Minitab to
compute ** r** or for additional information on Simple Correlation.

**Procedure for Example **

There are really two steps to compute R:

- Compute each of the paired simple correlation coefficients. . The easiest way to compute this paired correlations is to use either Excel or Minitab.
- For the Water/Temperature/Time Mowing example, the three paired correlation coefficients solutions are worked out using the formulas. Click here to see the details.

- Substitute these values in the formula for R.

Learn the Procedure for calculating correlation coefficients

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