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The CORREL function returns the correlation coefficient of two 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 range of cell values.

array2 Required. A second range of cell values.

Remarks
If an array or reference argument contains text, logical values, or empty cells, those values are ignored; however, cells with zero values are included.

If array1 and array2 have a different number of data points, CORREL returns a #N/A error.

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

As much as the correlation coefficient is closer to +1 or -1, it indicates positive (+1) or negative (-1) correlation between the arrays. Positive correlation means that if the values in one array are increasing, the values in the other array increase as well. A correlation coefficient that is closer to 0, indicates no or weak correlation.

The equation for the correlation coefficient is:

Equation

where

x and y

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

Example
The following example returns the correlation coefficient of the two data sets in columns A and B.

Use the CORREL function to return the correlation coefficient of two data sets in column A & B with =CORREL(A1:A6,B2:B6). The result is 0.997054486.