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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:

  

  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.