NIGERIAN JOURNAL OF SCIENCE AND ENVIRONMENT
Journal of the Faculties of Science and Agriculture, Delta State University, Abraka, Nigeria
                    
                        ISSN: 1119-9008 
  
                                                	
                        
                        DOI: 10.5987/UJ-NJSE 
  
                                                Email: njse@universityjournals.org 
                         	
                        
                    
COMPUTATIONAL IMPLICATIONS FOR THE LEAST SQUARES’ PARAMETERS OF THE SIMPLE LINEAR REGRESSION MODEL UNDER DATA TRANSFORMATION.
DOI: 10.5987/UJ-NJSE.16.037.1 | Article Number: 0D2BA23 | Vol.11 (1) - September 2012
Author: Igabari J.N
Keywords: Scaling Factor, Expected Values, Precision, Least Squares, Regression.
The Least squares method of parameter estimation is considered important due to its relative simplicity, optimal properties and wide economic applications. This paper examines the computational implications for the estimates of regression parameters for a simple linear regression model when there are changes in units of measurement, leading to a new set of data which is a scaled form of the original data. Expressions for the Least Squares estimates of the regression parameters are derived as well as their precision for the new data in terms of the original data.
Dougherty, C. (1992). Introduction to Econometrics.
Oxford University Press, New
York.
Greene, W. H. (2005). Econometric Analysis.
5th Edition. Pearson Ed. Inc. Singapore.
Igabari, J. N. (2006). A Note on the Parameters
of the Least Squares Simple Regression
Model in the Presence of Scaling.
Proceedings of the Annual National Conference
of Mathematical Association of
Nigeria.
Igabari, J. N. and Emenonye, C.E. (2000).
An Outline on Statistical Inference. Krisbec
Publishers, Nigeria.
Koutsoyiannis, A (2001). Theory of Econometrics.
2nd Ed., Palgrave. New York.
Nduka, E. C. (1999). Principles of Applied
Statistics I: Regression and Correlation
Analyses. Crystal Publishers. Owerri.