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.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

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]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
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
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
References in periodicals archive ?
Ordinary least squares estimates of the weighted equation will then yield efficient parameter estimates since the error terms are presumed to be homoskedastic.
Fixed- and random-effects techniques are tried in addition to ordinary least squares to allow for unmeasured or unobserved instructor effects.
The following items are appended: a structural equation model of the perceived benefits; coefficients and model fit for the ordinary least squares regressions; and the questionnaire.
Based largely on the aforementioned studies, two ordinary least squares estimates are provided.
For expository purposes, the simplest statistical model, a system of linear probability equations was developed and estimated using ordinary least squares. Refinements could be added, but the model as developed illustrates the approach.
The following ordinary least squares equation was estimated:
Data analysis included frequencies, means, one sample t-tests, ANOVA, and ordinary least squares regression.
The standardized regression coefficient from the ordinary least squares regression for gun control strictness was significant only for the overall suicide rate ([Beta] = -0.213), the suicide rate by firearms ([Beta] = -0.271), and the suicide rate by jumping ([Beta]=0.444).
The study also used ordinary least squares (OLS) regression and hierarchical linear modeling (HLM) to examine these influences.
Data were analyzed using multiple regression procedures, and causal effects suggested by the model were estimated with ordinary least squares procedures.
In the first, school quality is included as a right side variable in value-added equations in which prior test scores and other socio-economic and program variables are used as control variables in ordinary least squares regressions.
Ordinary Least Squares (OLS) multiple regression analysis was used to identify the predictors of student achievement for the 1996 National Assessment for Educational Progress (NAEP) in Kentucky.