least squares line fitting method

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• Least squares — The method of least squares is a standard approach to the approximate solution of overdetermined systems, i.e., sets of equations in which there are more equations than unknowns. Least squares means that the overall solution minimizes the sum of… …   Wikipedia

• least squares — noun 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 • Syn: ↑method of least squares • Topics: ↑statistics • Hypernyms: ↑statistical method, ↑statistical procedure… …   Useful english dictionary

• least squares approximation — ▪ statistics       in statistics, a method for estimating the true value of some quantity based on a consideration of errors (error) in observations or measurements. In particular, the line (function) that minimizes the sum of the squared… …   Universalium

• Least Squares — A statistical method used to determine a line of best fit by minimizing the sum of squares created by a mathematical function. A square is determined by squaring the distance between a data point and the regression line. The least squares… …   Investment dictionary

• least squares method — Statistical method for finding a line or curve the line of best fit that best represents a correspondence between two measured quantities (e.g., height and weight of a group of college students). When the measurements are plotted as points on a… …   Universalium

• Linear least squares (mathematics) — This article is about the mathematics that underlie curve fitting using linear least squares. For statistical regression analysis using least squares, see linear regression. For linear regression on a single variable, see simple linear regression …   Wikipedia

• Ordinary least squares — This article is about the statistical properties of unweighted linear regression analysis. For more general regression analysis, see regression analysis. For linear regression on a single variable, see simple linear regression. For the… …   Wikipedia

• Linear least squares/Proposed — Linear least squares is an important computational problem, that arises primarily in applications when it is desired to fit a linear mathematical model to observations obtained from experiments. Mathematically, it can be stated as the problem of… …   Wikipedia

• Linear least squares — is an important computational problem, that arises primarily in applications when it is desired to fit a linear mathematical model to measurements obtained from experiments. The goals of linear least squares are to extract predictions from the… …   Wikipedia

• Total least squares — The bivariate (Deming regression) case of Total Least Squares. The red lines show the error in both x and y. This is different from the traditional least squares method which measures error parallel to the y axis. The case shown, with deviations… …   Wikipedia

• Non-linear least squares — is the form of least squares analysis which is used to fit a set of m observations with a model that is non linear in n unknown parameters (m > n). It is used in some forms of non linear regression. The basis of the method is to… …   Wikipedia