RSQ

See Also

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 PEARSON. 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)

Known_y's is an array or range of data points.

Known_x's is an array or range of data points.

Remarks

The arguments must be either numbers or names, arrays, or references that contain numbers.
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.
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.
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.

Show How?

Create a blank workbook or worksheet.
Select the example in the Help topic. Do not select the row or column headers.

Selecting an example from Help
Press CTRL+C.
In the worksheet, select cell A1, and press CTRL+V.
To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.

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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)