This article describes the formula syntax and usage of the CORREL function (function: A prewritten formula that takes a value or values, performs an operation, and returns a value or values. Use functions to simplify and shorten formulas on a worksheet, especially those that perform lengthy or complex calculations.) 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 (argument: A value that provides information to an action, an event, a method, a property, a function, or a procedure.):
 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
The example may be easier to understand if you copy it to a blank worksheet.
How to copy an example
 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 
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) 
