PEARSON function

This article describes the formula syntax and usage of the PEARSONfunction in Microsoft Excel.

Description

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)

The PEARSON function syntax has the following arguments:

  • Array1    Required. A set of independent values.

  • Array2    Required. 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:

    Equation

    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.

How do I copy an example?

  1. Select the example in this article.

    Important   Do not select the row or column headers.

    selecting an example from help

    Selecting an example from Help

  2. Press CTRL+C.

  3. In Excel, create a blank workbook or worksheet.

  4. In the worksheet, select cell A1, and press CTRL+V.

    Important   For the example to work properly, you must paste it into cell A1 of the worksheet.

  5. 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.

After you copy the example to a blank worksheet, you can adapt it to suit your needs.

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Independent values

Dependent values

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Formula

Description (Result)

=PEARSON(A2:A6,B2:B6)

Pearson product moment correlation coefficient for the data sets above (0.699379)

Applies To: Excel 2010, Excel Starter, Excel Online, SharePoint Online



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