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 Last update: February 19, 2014

Relative Squared Error

The relative squared error (RSE) is relative to what it would have been if a simple predictor had been used. More specifically, this simple predictor is just the average of the actual values. Thus, the relative squared error takes the total squared error and normalizes it by dividing by the total squared error of the simple predictor.

Mathematically, the relative squared error Ei of an individual model i is evaluated by the equation:

where P(ij) is the value predicted by the individual model i for record j (out of n records); Tj is the target value for record j; andis given by the formula:

For a perfect fit, the numerator is equal to 0 and Ei = 0. So, the Ei index ranges from 0 to infinity, with 0 corresponding to the ideal.

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Released February 19, 2014

Last update: 5.0.3883

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