The RSQ function returns the square of the Pearson product moment correlation coefficient through data points in known_y’s and 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.
Example: Let’s look at some Excel RSQ function examples and explore how to use the RSQ function as a worksheet function in Microsoft Excel:
The column X and Y contains the two array values. R square of these values can be calculated using formula
Based on the Excel spreadsheet above, the following RSQ examples would return:
- 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.