imported>W.andrea: Move maintenance tag to correct spot per MOS:ORDER.

2025-01-10T21:12:45Z

Move maintenance tag to correct spot per MOS:ORDER.

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{{broader|Curve fitting}}
{{redirect|Line of best fit|the music magazine|The Line of Best Fit}}
{{dabprimary|date=May 2019}}

'''Line fitting''' is the process of constructing a [[straight line]] that has the best fit to a series of data points.

Several methods exist, considering:

*Vertical distance: [[Simple linear regression]]
*Resistance to [[outlier (statistics)|outliers]]: [[Robust simple linear regression]]
*[[Perpendicular distance]]: [[Orthogonal regression]] (this is not scale-invariant i.e. changing the measurement units leads to a different line.)
*Weighted geometric distance: [[Deming regression]]
*Scale invariant approach: [[Major axis regression]] This allows for measurement error in both variables, and gives an equivalent equation if the measurement units are altered.

==See also==
*[[Linear least squares]]
*[[Linear segmented regression]]
*[[Linear trend estimation]]
*[[Polynomial regression]]
*[[Regression dilution]]

==Further reading==
*"Fitting lines", chap.1 in LN. Chernov (2010), ''Circular and linear regression: Fitting circles and lines by least squares'', Chapman & Hall/CRC, Monographs on Statistics and Applied Probability, Volume 117 (256 pp.). [http://people.cas.uab.edu/~mosya/cl/]

{{Set index article}}

[[Category:Regression analysis]]
[[Category:Geometric algorithms]]

Line fitting - Revision history

imported>W.andrea: Move maintenance tag to correct spot per MOS:ORDER.