Coefficient of Determination

The coefficient of determination (usually abbreviated as ), is a measure of how well data points fit a specified curve. In Windographer this is often a linear curve that has been fitted to the data, but may occasionally be a nonlinear curve. In the special case where this curve is obtained through simple linear least squares regression, is equivalent to the square of r, the Pearson correlation coefficient.

Windographer calculates the coefficient of determination using the following equation:

where:

and:

yiis the y-value of the ith data point
yis the mean of the y-values of all data points
fiis the predicted value of the ith data point, according to the curve the data is being compared against

See also

Pearson correlation coefficient

Linear least squares


Written by: Aden Grue
Contact: windographer.support@ul.com
Last modified: January 9, 2018