This article describes the formula syntax and usage of the RSQ function (function: A prewritten formula that takes a value or values, performs an operation, and returns a value or values. Use functions to simplify and shorten formulas on a worksheet, especially those that perform lengthy or complex calculations.) in Microsoft Excel.
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.
The RSQ function syntax has the following arguments (argument: A value that provides information to an action, an event, a method, a property, a function, or a procedure.):
- Known_y's Required. An array or range of data points.
- Known_x's Required. An array or range of data points.
- 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.
The example may be easier to understand if you copy it to a blank worksheet.
How do I copy an example?
- Select the example in this article. If you are copying the example in Excel Online, copy and paste one cell at a time.
Important: Do not select the row or column headers.
Selecting an example from Help
- Press CTRL+C.
- Create a blank workbook or worksheet.
- In the worksheet, select cell A1, and press CTRL+V. If you are working in Excel Online, repeat copying and pasting for each cell in the example.
Important: For the example to work properly, you must paste it into cell A1 of the worksheet.
- To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.
After you copy the example to a blank worksheet, you can adapt it to suit your needs.
||Square of the Pearson product moment correlation coefficient through data points above (0.05795)