One Explanatory Variable
In a model with a single explanatory variable, RSS is given by
where yi is the i th value of the variable to be predicted, xi is the i th value of the explanatory variable, and is the predicted value of yi (also termed ). In a standard linear simple regression model, where a and b are coefficients, y and x are the regressand and the regressor, respectively, and ε is the error term. The sum of squares of residuals is the sum of squares of estimates of εi; that is
where is the estimated value of the constant term and is the estimated value of the slope coefficient b.
Read more about this topic: Residual Sum Of Squares
Famous quotes containing the words explanatory and/or variable:
“The fundamental laws of physics do not describe true facts about reality. Rendered as descriptions of facts, they are false; amended to be true, they lose their explanatory force.”
—Nancy Cartwright (b. 1945)
“Walked forth to ease my pain
Along the shore of silver streaming Thames,
Whose rutty bank, the which his river hems,
Was painted all with variable flowers,”
—Edmund Spenser (1552?–1599)