CORREL function

This article describes the formula syntax and usage of the CORREL function 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:

  

  where

  

  are the sample means AVERAGE(array1) and AVERAGE(array2).

Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

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 in columns A and B.	0.997054486