Research Article
May 1971
Linearizing Weight Factors for Least-Squares Fitting
Publication: Journal of the Hydraulics Division
Volume 97, Issue 5
Abstract
Comprehensive relationships are given for least-squares fitting of linear functions, corresponding to various parametric conditions, but limited to fallibility in either abscissa or ordinate, but not in both. For a nonlinear function linearized by suitable change of variable(s), the given least-squares relationships may be used validly if the weights are appropriately altered. The necessary linearizing weight factors are derived and verified in numerical examples.
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Published In
Journal of the Hydraulics Division
Volume 97 • Issue 5 • May 1971
Pages: 665 - 675
Copyright
© 1971 American Society of Civil Engineers.
History
Published in print: May 1971
Published online: Feb 3, 2021
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Authors
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Llewellyn E. Jones, M.ASCE
Prof. of Mech. Engrg. and Engrg. Archivist, Univ. of Toronto, Toronto, Canada
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Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.