Characteristics and Properties of a Simple Linear Regression Model

A simple linear regression model is one of the pillars of classic econometrics. Despite the passage of time, it continues to raise interest both from the theoretical side as well as from the application side. One of the many fundamental questions in the model concerns determining derivative characte...

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Veröffentlicht in:Folia oeconomica stetinensia Jg. 16; H. 1; S. 248 - 263
1. Verfasser: Kowal, Robert
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Wydawnictwo Naukowe Uniwersytetu Szczecińskiego 01.12.2016
Szczecin University Press
Sciendo
Schlagworte:
C01
Economy
Financial Markets
Micro-Economics
OLS estimators
simple linear regression model
Socio-Economic Research
unbiasedness
variance
unbiasedness
OLS estimators
simple linear regression model
variance
ISSN:1730-4237, 1898-0198, 1898-0198
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Zusammenfassung:A simple linear regression model is one of the pillars of classic econometrics. Despite the passage of time, it continues to raise interest both from the theoretical side as well as from the application side. One of the many fundamental questions in the model concerns determining derivative characteristics and studying the properties existing in their scope, referring to the first of these aspects. The literature of the subject provides several classic solutions in that regard. In the paper, a completely new design is proposed, based on the direct application of variance and its properties, resulting from the non-correlation of certain estimators with the mean, within the scope of which some fundamental dependencies of the model characteristics are obtained in a much more compact manner. The apparatus allows for a simple and uniform demonstration of multiple dependencies and fundamental properties in the model, and it does it in an intuitive manner. The results were obtained in a classic, traditional area, where everything, as it might seem, has already been thoroughly studied and discovered.
ISSN:1730-4237
1898-0198
1898-0198
DOI:10.1515/foli-2016-0016