# RSQ function

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.

## Description

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

`RSQ(known_y's,known_x's)`

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.

## 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.

## Example

The example may be easier to understand if you copy it to a blank worksheet.

1. 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

1. Press CTRL+C.
2. Create a blank workbook or worksheet.
3. 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.
4. 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.

A B
Known y Known x
2 6
3 5
9 11
1 7
8 5
7 4
5 4
Formula Description (Result)
=RSQ(A2:A8, B2:B8) Square of the Pearson product moment correlation coefficient through data points above (0.05795)

Applies to:
Excel 2010, Excel Web App, SharePoint Online for enterprises, SharePoint Online for professionals and small businesses