RSQ function

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

  • 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:

Equation

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.

ShowHow to copy an example

  • Create a blank workbook or worksheet.
  • Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

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 Formulas tab, in the Formula Auditing group, click the Show Formulas button.
 
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Known y Known x
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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 2007