CORREL function

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

Description

Returns the correlation coefficient of the array1 and array2 cell ranges. Use the correlation coefficient to determine the relationship between two properties. For example, you can examine the relationship between a location's average temperature and the use of air conditioners.

Syntax

CORREL(array1, array2)

The CORREL function syntax has the following arguments:

  • Array1    Required. A cell range of values.

  • Array2    Required. A second cell range of values.

Remarks

  • 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 have a different number of data points, CORREL returns the #N/A error value.

  • If either array1 or array2 is empty, or if s (the standard deviation) of their values equals zero, CORREL returns the #DIV/0! error value.

  • The equation for the correlation coefficient 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 to copy an example

  1. Create a blank workbook or worksheet.

  2. Select the example in the Help topic.

Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help

  1. Press CTRL+C.

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

  3. 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.

4

5

6

7


8

A

B

Data1

Data2

3

9

2

7

4

12

5

15

6

17

Formula

Description (Result)

=CORREL(A2:A6,B2:B6)

Correlation coefficient of the two data sets above (0.997054)

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



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