Statistical
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=RSQ()
Returns the square of the Pearson product moment correlation coefficient through data points in known_y's and known_x's. For more information, see the PEARSON function. The r-squared value can be interpreted as the proportion of the variance in y attributable to the variance in x.
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=RSQ(known_y's,known_x's)
Hover argument names in the table for details.
Output typeNumber
Popularity18 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments
| Argument | Type | Required | Description |
|---|---|---|---|
known_y's |
Range | Required | An array or range of data points. |
known_x's |
Range | Required | An array or range of data points. |
▣ Examples
▦ Data
| Cell | Value |
|---|---|
A2 |
Known y |
B2 |
Known x |
A3 |
2 |
B3 |
6 |
A4 |
3 |
B4 |
5 |
A5 |
9 |
B5 |
11 |
A6 |
1 |
B6 |
7 |
A7 |
8 |
B7 |
5 |
A8 |
7 |
B8 |
4 |
A9 |
5 |
B9 |
4 |
A10 |
Known y |
B10 |
Known x |
A11 |
2 |
B11 |
6 |
A12 |
3 |
B12 |
5 |
A13 |
9 |
B13 |
11 |
A14 |
1 |
B14 |
7 |
A15 |
8 |
B15 |
5 |
A16 |
7 |
B16 |
4 |
A17 |
5 |
B17 |
4 |
Square of the Pearson product moment correlation coefficient through data points in A3:A9 and B3:B9.
=RSQ(A3:A9, B3:B9)
Result:
0.05795
§ Remarks
- Arguments can either be numbers or names, arrays, or references that contain numbers.
- Logical values and text representations of numbers that you type directly into the list of arguments are counted.
- 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.
- Arguments that are error values or text that cannot be translated into numbers cause errors.
- If known_y's and known_x's are empty or have a different number of data points, RSQ returns the #N/A error value.
- If known_y's and known_x's contain only 1 data point, RSQ returns the #DIV/0! error value.
- The equation for the Pearson product moment correlation coefficient, r, is: where x and y are the sample means AVERAGE(known_x’s) and AVERAGE(known_y’s). RSQ returns r2, which is the square of this correlation coefficient.
✦ Tips
- Arguments can either be numbers or names, arrays, or references that contain numbers.
- Logical values and text representations of numbers that you type directly into the list of arguments are counted.
- 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.
- Arguments that are error values or text that cannot be translated into numbers cause errors.
- The equation for the Pearson product moment correlation coefficient, r, is: where x and y are the sample means AVERAGE(known_x’s) and AVERAGE(known_y’s). RSQ returns r2, which is the square of this correlation coefficient.
⚠ Common Errors
#N/A
If known_y's and known_x's are empty or have a different number of data points, RSQ returns the #N/A error value.
Fix: Make the two ranges the same size
#DIV/0!
If known_y's and known_x's contain only 1 data point, RSQ returns the #DIV/0! error value.
Fix: حداقل دو نقطه داده در هر محدوده وارد کنید تا محاسبه همبستگی ممکن باشد.
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