Line fitting
From Wikipedia, the free encyclopedia
For broader coverage of this topic, see Curve fitting.
"Line of best fit" redirects here. For the music magazine, see The Line of Best Fit.
This page is a primary topic and an article should be written about it. One or more editors believe it holds the title of a broad-concept article. The article may be written here or drafted elsewhere first. Related titles should be described here, while unrelated titles should be moved to Line fitting (disambiguation). Relevant discussion may be found on the talk page. (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 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
[edit ]- Linear least squares
- Linear segmented regression
- Linear trend estimation
- Polynomial regression
- Regression dilution
Further reading
[edit ]- "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.). [1]
- "Homogeneous Least-Squares Problem", Keijo Inkilä (2005), The Photogrammetric Journal of Finland, 19(2):34–42
Disambiguation icon
If an internal link incorrectly led you here, you may wish to change the link to point directly to the intended article.
Index of articles associated with the same name
This set index article includes a list of related items that share the same name (or similar names). If an internal link incorrectly led you here, you may wish to change the link to point directly to the intended article.