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...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2016-12-01
|
| Series: | Folia Oeconomica Stetinensia |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/foli-2016-0016 |
| _version_ | 1818691351619829760 |
|---|---|
| author | Kowal Robert |
| author_facet | Kowal Robert |
| author_sort | Kowal Robert |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-17T12:40:31Z |
| format | Article |
| id | doaj.art-4ee404282cb34aa6bf59d7e11d1df120 |
| institution | Directory Open Access Journal |
| issn | 1898-0198 |
| language | English |
| last_indexed | 2024-12-17T12:40:31Z |
| publishDate | 2016-12-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Folia Oeconomica Stetinensia |
| spelling | doaj.art-4ee404282cb34aa6bf59d7e11d1df1202022-12-21T21:48:01ZengSciendoFolia Oeconomica Stetinensia1898-01982016-12-0116124826310.1515/foli-2016-0016foli-2016-0016Characteristics and Properties of a Simple Linear Regression ModelKowal Robert0Kielce University of Technology, Faculty of Management and Computer Modelling, Al. Tysiąclecia Państwa Polskiego 7, 25-314 Kielce, PolandA 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.https://doi.org/10.1515/foli-2016-0016simple linear regression modelols estimatorsvarianceunbiasednessc01 |
| spellingShingle | Kowal Robert Characteristics and Properties of a Simple Linear Regression Model Folia Oeconomica Stetinensia simple linear regression model ols estimators variance unbiasedness c01 |
| title | Characteristics and Properties of a Simple Linear Regression Model |
| title_full | Characteristics and Properties of a Simple Linear Regression Model |
| title_fullStr | Characteristics and Properties of a Simple Linear Regression Model |
| title_full_unstemmed | Characteristics and Properties of a Simple Linear Regression Model |
| title_short | Characteristics and Properties of a Simple Linear Regression Model |
| title_sort | characteristics and properties of a simple linear regression model |
| topic | simple linear regression model ols estimators variance unbiasedness c01 |
| url | https://doi.org/10.1515/foli-2016-0016 |
| work_keys_str_mv | AT kowalrobert characteristicsandpropertiesofasimplelinearregressionmodel |