Definition of Least squares. Meaning of Least squares. Synonyms of Least squares

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Definition of Least squares

Least squares
Least Least, a. [OE. last, lest, AS. l?sast, l?sest, superl. of l?ssa less. See Less, a.] [Used as the superlative of little.] Smallest, either in size or degree; shortest; lowest; most unimportant; as, the least insect; the least mercy; the least space. Note: Least is often used with the, as if a noun. I am the least of the apostles. --1 Cor. xv. 9. At least, or At the least, at the least estimate, consideration, chance, etc.; hence, at any rate; at all events; even. See However. He who tempts, though in vain, at least asperses The tempted with dishonor. --Milton. Upon the mast they saw a young man, at least if he were a man, who sat as on horseback. --Sir P. Sidney. In least, or In the least, in the least degree, manner, etc. ``He that is unjust in the least is unjust also in much.' --Luke xvi. 10. Least squares (Math.), a method of deducing from a number of carefully made yet slightly discordant observations of a phenomenon the most probable values of the unknown quantities. Note: It takes as its fundamental principle that the most probable values are those which make the sum of the squares of the residual errors of the observation a minimum.

Meaning of Least squares from wikipedia

- The method of least squares is a parameter estimation method in regression analysis based on minimizing the sum of the squares of the residuals (a residual...
- set of explanatory variables) by the principle of least squares: minimizing the sum of the squares of the differences between the observed dependent variable...
- Linear least squares (LLS) is the least squares approximation of linear functions to data. It is a set of formulations for solving statistical problems...
- Weighted least squares (WLS), also known as weighted linear regression, is a generalization of ordinary least squares and linear regression in which knowledge...
- In statistics, generalized least squares (GLS) is a method used to estimate the unknown parameters in a linear regression model. It is used when there...
- Partial least squares (PLS) regression is a statistical method that bears some relation to prin****l components regression and is a reduced rank regression;...
- In applied statistics, total least squares is a type of errors-in-variables regression, a least squares data modeling technique in which observational...
- In constrained least squares one solves a linear least squares problem with an additional constraint on the solution. This means, the unconstrained equation...
- Regularized least squares (RLS) is a family of methods for solving the least-squares problem while using regularization to further constrain the resulting...
- Least-squares adjustment is a model for the solution of an overdetermined system of equations based on the principle of least squares of observation residuals...