# Documentation/Calc Functions/RSQ

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RSQ

## Category:

Statistical Analysis

## Summary:

Calculate the square of the sample Pearson correlation coefficient(r2) based on the given value of data samples.

## Syntax:

RSQ(DataY; DataX)

## Returns:

Returns a real value which is the square of the sample Pearson correlation coefficient of values in Datay and DataX. It returns a value in the range [0,1].

## Arguments:

DataY is a reference to a range of cells which is considered the first data set.

DataX is a reference to a range of cells which is considered the second data set.

• If a cell contains text, logical values, or empty cells, then the function ignores these values. However, for logical values, TRUE is considered as 1 and FALSE as 0.
• If DataY and DataX are empty or contain only one data point or have a different number of data points then the function returns an error value.

## Additional details:

• RSQ (also called determination coefficient) is a measure for the accuracy of an adjustment and can be used to produce a regression analysis.
• The formula for is the square of sample PEARSON coefficient = r2 where r is:

where x̄ and ӯ are mean values.

• For more details on the sample Pearson correlation coefficient, visit Wikipedia.

## Examples:

Data1 Data2
1 195 200
2 151 180
3 148 178
4 189 165
5 183 192
6 154 144
Formula Description Returns
=RSQ(A1:A6;B1:B6) The function calculates the square of the Pearson correlation coefficient of the two data sets, Data1 and Data2. Alternatively, it gives the determination coefficient for both data sets. 0.218150635028104

RSQ