Advanced Excel Statistical - RSQ Function

Description

The RSQ function returns the square of the Pearson product moment correlation coefficient through data points in known_y's and known_x's.

Syntax

RSQ (known_y's,known_x's)

Arguments

Notes

• The equation for the Pearson product moment correlation coefficient, r, is −

  $$r=\frac{\sum \left ( x-\bar{x} \right )\left ( y-\bar{y} \right )}{\sqrt{\sum \left ( x-\bar{x} \right )^2 \sum \left ( y-\bar{y} \right )^2}}$$

  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.

• 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 one or both of the supplied arrays contain only 1 data point, RSQ returns the #DIV/0! error value.

• If the standard deviation of their values in one or both of the supplied arrays is equal to zero, RSQ returns the #DIV/0! error value.

Applicability

Excel 2007, Excel 2010, Excel 2013, Excel 2016

Example