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 ?
The solar irradiance is defines as independent variables, and the output power of photovoltaic power plants is defines as dependent variables, they implement fitting a straight line utilizing Least squares method, that is achieve Least-squares linear fit curve photovoltaic power plants output power and solar radiation.
He covers some variational problems in Hilbert spaces, iterative methods in Hilbert spaces, operator-splitting and alternating directions methods, augmented Lagrangians and alternating direct methods of multipliers, the least-squares solution of linear and nonlinear problems, obstacle problems and Bingham flow with applications to control, nonlinear eigenvalue problems, Eikonal equations, and fully nonlinear elliptic equations.
The least-squares method of regression performs best if the population of errors is normally distributed.
The least-squares method is described thoroughly in books by Lawson and Hanson (1995) and Bjorck (1996).
Least-squares analysis is not valid when addressing a performance improvement goal stated as "95 percent of patients have less than 10 days between first contact and first treatment.
The material is geared toward scientists and engineers who analyze and solve least-squares problems, but is also suitable for a graduate or advanced undergraduate course for students with a working knowledge of linear algebra and basic statistics.
Least-squares SVM (LS-SVM) is a modified version of SVM (Suykens et al.
Polynomial interpolants and least-squares fits are used all the time, rational ones more rarely.
In this paper, we constrain the Modified Quadratic Shepard interpolant to preserve positivity in one-dimensional interpolation such that the constrained interpolant also retains the least-squares fit to data.
Therefore , we need further study the least-squares solutions for the problem above which is associated with several kinds of different sets L, for instance, general matrices, symmetric matrices, symmetric nonnegative definite matrices and so on.
Datta (Computational Mathematics, Northern Illinois University) covers the major topics of computational linear algebra, including solution of a system of linear equations, least-squares solutions of linear systems, computation of eigenvalues, eigenvectors, and singular value problems, as well as an overview of Krylov subspace methods.

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