least squares

(redirected from Sum of squared error)
Also found in: Dictionary, Thesaurus, Acronyms.

least squares

(lēst skwārz),
A principle of estimation invented by Gauss in which the estimates of a set of parameters in a statistical model are the quantities that minimize the sum of squared differences between the observed values of the dependent variable and the values predicted by the model.

least squares

a method of regression analysis. The line on a graph that best summarizes the relationship between two variables is the one that ensures that there is the least value of the sum of the squares of the deviation between the fitted curve and each of the original data points.
References in periodicals archive ?
For example, in Specifications 2 and 3, which included the current month recession probability, the errors in the first four months of the recessions summed to about 70 percent of the total sum of squared errors.
Mean Squared Error (MSE) is the sum of squared errors divided by the number of samples in hand.
Convergence of PCA-Data Augmentation (PCA-DA) were monitored using the calculated sum of squared errors between the observed values and corresponding predicted noise-free values.
In order to get a quantitative feel, we also calculated the sum of squared errors between the predicted values and the true values as shown in Figure 11 for different percentages of missing values.
3] which minimize the sum of squared errors when the right-hand side of the equation is subtracted from the left-hand side and the difference is squared.
The sum of squared errors of the Administration's real output growth forecasts is largest for Canada, the United States and West Germany.
2~,(6) since the Lotus 1-2-3 output does not include sum of squared errors, and use it to determine how much weight to assign to each regression.