Category:Examples of Method of Least Squares (Approximation Theory)
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This category contains examples of Method of Least Squares (Approximation Theory).
Let there be a set of points $\set {\tuple {x_k, y_k}: k \in \set {1, 2, \ldots, n} }$ plotted on a Cartesian $x y$ plane which correspond to measurements of a physical system.
Let it be required that a straight line is to be fitted to the points.
The method of least squares is a technique of producing a straight line of the form $y = m x + c$ such that:
- the points $\set {\tuple {x_k', y_k'}: k \in \set {1, 2, \ldots, n} }$ are on the line $y = m x + c$
- $\forall k \in \set {1, 2, \ldots, n}: x_k' = x_k$
- $\ds \sum_n \paren {y_k' - y_k}^2$ is minimised.
Pages in category "Examples of Method of Least Squares (Approximation Theory)"
The following 2 pages are in this category, out of 2 total.