Residual sum of squares

Gives the total squared difference between observed values and the values predicted by a model. It is used to measure how well a regression or fitted model matches the data, with smaller values indicating a closer fit.

\mathrm{RSS} = \sum_{i=1}^{n} \left(y_i - f(x_i)\right)^2

What the symbols mean

number of observations
observed value of the i-th data point
model prediction for the input x_i of the i-th data point
input (predictor) value of the i-th data point

About this formula

  • FieldStatistics
  • TopicRegression analysis
  • LevelUniversity
  • Also calledRSS, sum of squared residuals, sum of squared errors, SSR, residual sum of squares formula, least squares criterion
  • SourceWikidata Q15096882

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