least squares

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least squares

pl.n. Statistics
A method of determining the curve that best describes the relationship between expected and observed sets of data by minimizing the sums of the squares of deviation between observed and expected values.

least squares

n
(Mathematics) a method for determining the best value of an unknown quantity relating one or more sets of observations or measurements, esp to find a curve that best fits a set of data. It states that the sum of the squares of the deviations of the experimentally determined value from its optimum value should be a minimum

least′ squares′


n.
a statistical method of estimating values from a set of observations by minimizing the sum of the squares of the differences between the observations and the values to be found.
Also called least′-squares′ meth`od.
[1860–65]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.least squares - a method of fitting a curve to data points so as to minimize the sum of the squares of the distances of the points from the curve
statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters
statistical method, statistical procedure - a method of analyzing or representing statistical data; a procedure for calculating a statistic
References in periodicals archive ?
Often used when training MLP networks are the sum of squared errors, taking the following form:
The Excel spreadsheet may also be helpful to many other spreadsheet users because it demonstrates a general method for determining any type of regression coefficients (including non-linear) using the first-principles approach of minimizing sum of squared error.
For example, squaring errors of 1 and 4 would produce a sum of squared errors of 17 ([1.
The Ward Method of Minimum Variance is biased to form groups of the same size, from the sum of squared errors (SSE) of each cluster (sum of squared deviations for each centroid of the cluster).
Mean and Sum of Squared Errors of the Current Month's Recession Probability Estimates Mean Squared Error Aggregate Economic Labor (%) Sentiment (%) activity (%) (%) All months 1.
Performance index used in this paper is the sum of squared errors,