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ERIC Number: EJ769559
Record Type: Journal
Publication Date: 2005
Pages: 10
Abstractor: ERIC
ISBN: N/A
ISSN: ISSN-0730-8639
EISSN: N/A
The Use of Orthogonal Distances in Generating the Total Least Squares Estimate
Glaister, P.
Mathematics and Computer Education, v39 n1 p21-30 Win 2005
The method of least squares enables the determination of an estimate of the slope and intercept of a straight line relationship between two quantities or variables X and Y. Although a theoretical relationship may exist between X and Y of the form Y = mX + c, in practice experimental or measurement errors will occur, and the observed or measured values x and y may not lie exactly on a straight line. In this paper, the author discusses ordinary least squares (OLS) and total least squares (TLS), as well as the use of orthogonal distances in generating the TLS estimate. He believes that the applicability OLS and TLS formulas should be stressed to students, particularly the possibility of errors in both variables. (Contains 4 figures and 2 tables.)
MATYC Journal Inc. Mathematics and Computer Education, P.O. Box 158, Old Bethpage, NY 11804. Tel: 516-822-5475; Web site: http://www.macejournal.org
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A