Abstract
Regression is one of the most widely used of all statistical methods. For univariate regression, the available data are one response variable and p predictor variables, all measured on each of n observations. We let Y denote the response variable and \(X_{1},\ldots,X_{p}\) be the predictor or explanatory variables.
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When comparing models with the same number of parameters, all three criteria are optimized by the same model.
References
Draper, N. R. and Smith, H. (1998) Applied Regression Analysis, 3rd ed., Wiley, New York.
Faraway, J. J. (2005) Linear Models with R, Chapman & Hall, Boca Raton, FL.
Harrell, F. E., Jr. (2001) Regression Modeling Strategies, Springer-Verlag, New York.
Nelson C.R., and Plosser C.I. (1982) Trends and random walks in macroeconomic time series. Journal of Monetary Economics, 10, 139–162.
Neter, J., Kutner, M. H., Nachtsheim, C. J., and Wasserman, W. (1996) Applied Linear Statistical Models, 4th ed., Irwin, Chicago.
Ryan, T. P. (1997) Modern Regression Methods, Wiley, New York.
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Ruppert, D., Matteson, D.S. (2015). Regression: Basics. In: Statistics and Data Analysis for Financial Engineering. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2614-5_9
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