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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:
![Equation](../img/awfpears.gif)
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.
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](../img/selecthelp.gif)
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.
|
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) |
|