CORREL

CORREL

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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)

Array1     is a cell range of values.

Array2     is 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

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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)