# PEARSON

Returns the Pearson product moment correlation coefficient, r, a dimensionless index that ranges from -1.0 to 1.0 inclusive and reflects the extent of a linear relationship between two data sets.

Syntax

PEARSON(array1,array2)

Array1     is a set of independent values.

Array2     is a set of dependent values.

Remarks

• The arguments must be either numbers or names, array constants, or references that contain numbers.
• If an array or reference argument contains text, logical values, or empty cells, those values are ignored; however, cells with the value zero are included.
• If array1 and array2 are empty or have a different number of data points, PEARSON returns the #N/A error value.
• The formula for the Pearson product moment correlation coefficient, r, is:

where x and y are the sample means AVERAGE(array1) and AVERAGE(array2).

Example

The example may be easier to understand if you copy it to a blank worksheet.

• Create a blank workbook or worksheet.
• Select the example in the Help topic.

Note   Do not select the row or column headers.

Selecting an example from Help
• Press CTRL+C.
• In the worksheet, select cell A1, and press CTRL+V.
• To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.
A B
Independent values Dependent values
9 10
7 6
5 1
3 5
1 3
Formula Description (Result)
=PEARSON(A2:A6,B2:B6) Pearson product moment correlation coefficient for the data sets above (0.699379)

Applies to:
Excel 2003