least squares

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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 ?
Regression (Panel Least Squares method and Period random effects method)
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.
Then the set of equations (7) is solved using least squares method resulting in estimated values of unknown parameters h(t), v, [h.
The Recursive Least Squares Method Principle for the Elimination of Trend Term.
Then the output weights are analytically determined using regularized least squares method as
Thus, some nonlinear models can be transformed into linear models, tractable by the least squares method for parameter estimation; on the other hand, medium or long term evolution often risks to become nonlinear even in cases when, for the available data, a linear form of the model was accepted.
NAVASCA, Some convergent results of the regularized alternating least squares method for tensor decomposition, Linear Algebra Appl.
Thus, this study aimed to evaluate the hardness of panels manufactured with Eucalyptus grandis wood particles and oat hulls by an alternative means, based on the least squares method and mechanics of materials, similar to what was done by Christoforo et al.
Based on previous studies on relationships between vegetation indexes and GPC the objectives of this study were to: 1) analyze relationships between single vegetation index and GPC; 2) improve estimation accuracy of GPC by using two or three vegetation indexes and partial least squares method (PLS); 3) compare the three methods.
An iterative least squares method is developed to deter mine motor equivalent circuit parameters using published motor data, including motor efficiency and power factor, at four different load levels under rated power frequency.
The moving least squares method (MLS) has been used for the numerical solution of ordinary and partial differential equations in many papers, but very few of these include error estimates.
Solving the Least Squares Method problem in the AHP for 3 x 3 and 4 x 4 matrices, Central European Journal of Operations Research 13(3): 255-270.

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