A Note On Derivation of the Least Squares Estimator

Eric Im

No 199611, Working Papers from University of Hawaii at Manoa, Department of Economics

Abstract: Derivation of Least Squares (LS) estimators of intercept and slope in bivariate regression model has been solely calculus-based. Herein, for the first time in the chronicle of regression, we provide a derivation of the LS estimators in very basic algebra within the grasp of the intended readers of many introductory books in statistics and econometrics. Also, we provide a similar derivation of the LS estimator of a parameter vector for the multiple regression model which takes only a few steps of basic matrix operation.

Keywords: Derivation of LS estimator; bivariate regression; calculus-based; self-contained; multiple regression; matrix calculus; orthogonality (search for similar items in EconPapers)
Pages: 5 pages
Date: 1996
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.economics.hawaii.edu/research/workingpapers/88-98/WP_96-11.pdf

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hai:wpaper:199611

Ordering information: This working paper can be ordered from
http://www.economics ... esearch/working.html

Access Statistics for this paper

More papers in Working Papers from University of Hawaii at Manoa, Department of Economics Contact information at EDIRC.
Bibliographic data for series maintained by Web Technician ().