Statistical
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=CORREL()
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.
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=CORREL(array1, array2)
Hover argument names in the table for details.
Output typeNumber
Popularity45 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments
| Argument | Type | Required | Description |
|---|---|---|---|
array1 |
Array | Required | A range of cell values. |
array2 |
Array | Required | A second range of cell values. |
▣ Examples
Example 1
=CORREL(B2:B25, C2:C25)
Example 2
=CORREL(D2:D366, E2:E366)
§ 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: where are the sample means AVERAGE(array1) and AVERAGE(array2).
✦ Tips
- If an array or reference argument contains text, logical values, or empty cells, those values are ignored; however, cells with zero values are included.
- 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: where are the sample means AVERAGE(array1) and AVERAGE(array2).
⚠ Common Errors
#N/A
If array1 and array2 have a different number of data points, CORREL returns a #N/A error.
Fix: Make the two ranges the same size
#DIV/0!
If either array1 or array2 is empty, or if s (the standard deviation) of their values equals zero, CORREL returns a #DIV/0! error.
Fix: بررسی کنید هر دو محدوده حداقل یک مقدار عددی داشته باشند و مقادیر همه یکسان (انحراف صفر) نباشند.
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