How do I use the RSQ function in 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:

• 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.