MODEL SELECTION IN BIVARIATE REGRESSION MODELS
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Keywords

Coefficient of Determination
S.E. of Regression
Akaike Information Criterion
Schwarz Information Criterion
Hannan-Quinn Information Criterion
Bivariate Regression models

Abstract

This study is on model selection in bivariate regression models. Data for this study were collected in CBN Annual Report (various issues), CBN Statistical bulletin (various issues)from 1990 to 2019, which consists of international oil prices (response variable) and unemployment rate (independent variable). Eight regression models; Linear Regression, Quadratic Regression, Cubic Regression, Power Regression, ab-Exponential Regression, Logarithmic Regression, Hyperbolic Regression and Exponential Regression were examined in this study. Five model selection techniques known as; coefficient of determination, standard error of Regression, Akaike Information Criterion, Schwarz Information Criterion, and Hannan-Quinn Information Criterion were used to select the best model. From the analysis, in the overall goodness of fit assessment, the study concluded that the ab- Exponential regression model with Exponential regression performs far better than the other six bivariate regression models employed in this study. Therefore, future researchers should look at a similar work by incorporating other nonlinear bivariate regression models like compound, growth and inverse Regression models to compare results.

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