Polynomial regression (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Polynomial regression" in English language version.

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Devore, Jay L. (1995). Probability and Statistics for Engineering and the Sciences (4th ed.). US: Brooks/Cole Publishing Company. pp. 539–542. ISBN 0-534-24264-2.

books.google.com

Conte, S.D.; De Boor, C. (2018). Elementary Numerical Analysis: An Algorithmic Approach. Classics in Applied Mathematics. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104). p. 259. ISBN 978-1-61197-520-8. Retrieved 2020-08-28.

doi.org

Gergonne, J. D. (November 1974) [1815]. "The application of the method of least squares to the interpolation of sequences". Historia Mathematica. 1 (4) (Translated by Ralph St. John and S. M. Stigler from the 1815 French ed.): 439–447. doi:10.1016/0315-0860(74)90034-2.
Stigler, Stephen M. (November 1974). "Gergonne's 1815 paper on the design and analysis of polynomial regression experiments". Historia Mathematica. 1 (4): 431–439. doi:10.1016/0315-0860(74)90033-0.
Smith, Kirstine (1918). "On the Standard Deviations of Adjusted and Interpolated Values of an Observed Polynomial Function and its Constants and the Guidance They Give Towards a Proper Choice of the Distribution of the Observations". Biometrika. 12 (1/2): 1–85. doi:10.2307/2331929. JSTOR 2331929.
Such "non-local" behavior is a property of analytic functions that are not constant (everywhere). Such "non-local" behavior has been widely discussed in statistics:
- Magee, Lonnie (1998). "Nonlocal Behavior in Polynomial Regressions". The American Statistician. 52 (1): 20–22. doi:10.2307/2685560. JSTOR 2685560.

drque.net

polynomialregression.drque.net

"Mathematics of Polynomial Regression". Polynomial Regression, A PHP regression class.

geeksforgeeks.org

"Implementation of Polynomial Regression". GeeksforGeeks. 2018-10-03. Retrieved 2024-08-25.

jstor.org

Smith, Kirstine (1918). "On the Standard Deviations of Adjusted and Interpolated Values of an Observed Polynomial Function and its Constants and the Guidance They Give Towards a Proper Choice of the Distribution of the Observations". Biometrika. 12 (1/2): 1–85. doi:10.2307/2331929. JSTOR 2331929.
Such "non-local" behavior is a property of analytic functions that are not constant (everywhere). Such "non-local" behavior has been widely discussed in statistics:
- Magee, Lonnie (1998). "Nonlocal Behavior in Polynomial Regressions". The American Statistician. 52 (1): 20–22. doi:10.2307/2685560. JSTOR 2685560.

mit.edu

jmlr.csail.mit.edu

Yin-Wen Chang; Cho-Jui Hsieh; Kai-Wei Chang; Michael Ringgaard; Chih-Jen Lin (2010). "Training and testing low-degree polynomial data mappings via linear SVM". Journal of Machine Learning Research. 11: 1471–1490.

muthu.co

Muthukrishnan, Gowri (17 Jun 2018). "Maths behind Polynomial regression, Muthukrishnan". Maths behind Polynomial regression. Retrieved 30 Jan 2024.

richmond.edu

facultystaff.richmond.edu

Stevenson, Christopher. "Tutorial: Polynomial Regression in Excel". facultystaff.richmond.edu. Retrieved 22 January 2017.

zenodo.org

Smith, Kirstine (1918). "On the Standard Deviations of Adjusted and Interpolated Values of an Observed Polynomial Function and its Constants and the Guidance They Give Towards a Proper Choice of the Distribution of the Observations". Biometrika. 12 (1/2): 1–85. doi:10.2307/2331929. JSTOR 2331929.