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Chapitre D'ouvrage Année : 2014

Simple Linear Regression

Gérard Grégoire
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Résumé

This chapter deals with the very simple situation where the mean of a variable, the response variable, usually denoted Y, is linearly depending on another variable, the regressor, here denoted x1. The least squared method is used to get the parameter estimators and estimates of their precisions. This leads to design confidence and prediction intervals, significance tests, anova table. Residuals, diagnostics to identify influent observations and outliers are presented. Methods to detect departures from the model's assumptions and ways of dealing with these departures are addressed. Along the chapter a data set is used to illustrate the methods with the sofware R.

Dates et versions

hal-02019815 , version 1 (14-02-2019)

Identifiants

Citer

Gérard Grégoire. Simple Linear Regression. Statistics for Astrophysics Methods and Applications of the Regression, 66, EDP Sciences, pp.19-39, 2014, EAS Publications Series, ISSN: 1633-4760 - eISSN: 1638-1963. ⟨10.1051/eas/1466003⟩. ⟨hal-02019815⟩
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