<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></abstract>

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.

Characteristics and Properties of a Simple Linear Regression Model

Kielce University of Technology, Faculty of Management and Computer Modelling, Al. Tysiąclecia Państwa Polskiego 7, 25-314 Kielce,

Folia Oeconomica Stetinensia

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"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...

Characteristics and Properties of a Simple Linear Regression Model

Published Online: Dec 30, 2016

Page range: 248 - 263

Received: Aug 21, 2015

Accepted: Jun 27, 2016

DOI: https://doi.org/10.1515/foli-2016-0016

Keywords
simple linear regression model, OLS estimators, variance, unbiasedness

© 2016 University of Szczecin

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Characteristics and Properties of a Simple Linear Regression Model

Published Online: Dec 30, 2016

Page range: 248 - 263

Received: Aug 21, 2015

Accepted: Jun 27, 2016

DOI: https://doi.org/10.1515/foli-2016-0016

Keywordssimple linear regression model, OLS estimators, variance, unbiasedness

© 2016 University of Szczecin

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
simple linear regression model, OLS estimators, variance, unbiasedness