Abstract
In this section we discuss the very practical problem of fitting a line, a plane, or a curve to a set of given points when this can only be done approximately. For example, we may expect some observed data to be the coordinates of points on a straight line, but they turn out to be only approximately so. Then our problem is to find a line that fits them best in some sense. The criterion generally used is the least-squares principle, which we shall describe shortly. First, however, we need to discuss the following problem.
The original version of this chapter was revised. An erratum can be found at https://doi.org/10.1007/978-0-8176-8325-2_9
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© 2012 Springer Science+Business Media, LLC
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Schay, G. (2012). Orthogonal Projections and Bases. In: A Concise Introduction to Linear Algebra. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8325-2_5
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DOI: https://doi.org/10.1007/978-0-8176-8325-2_5
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Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-8324-5
Online ISBN: 978-0-8176-8325-2
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