RSQ function: Description, Usage, Syntax, Examples and Explanation
What is RSQ function in Excel?
RSQ function is one of Statistical functions in Microsoft Excel that 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.
Syntax of RSQ function
RSQ(known_y’s,known_x’s)
The RSQ function syntax has the following arguments:
- Known_y’s: An array or range of data points.
- Known_x’s: An array or range of data points.
Explanation of RSQ function
- 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.
Example of RSQ function
Steps to follow:
1. Open a new Excel worksheet.
2. Copy data in the following table below and paste it in cell A1
Note: For formulas to show results, select them, press F2 key on your keyboard and then press Enter.
You can adjust the column widths to see all the data, if need be.
Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.
| Data | ||
| Known y | Known x | |
| 2 | 6 | |
| 3 | 5 | |
| 9 | 11 | |
| 1 | 7 | |
| 8 | 5 | |
| 7 | 4 | |
| 5 | 4 | |
| Formula | Description | Result |
| =RSQ(A3:A9, B3:B9) | Square of the Pearson product moment correlation coefficient through data points in A3:A9 and B3:B9. | 0.05795 |