Some Regression Problems in Solar-Terrestrial Sciences: Learning from Mistakes

LPC2E, UMR 7328 CNRS-University of Orléans, 3A avenue de la Recherche Scientifique, 45071 Orléans Cedex 2, France

e-mail: ddwit@cnrs-orleans.fr

Abstract

We address three timely regression analysis problems in solar-terrestrial observations: the identification of trends in observations that exhibit a high level of internal variability, the choice of explanatory variables in the multilinear regression of climate data, and the identification of power laws in power spectral densities. In all three of them we focus on some common mistakes, and on how these may help facilitate critical reading of research in the field.