Practical Session: Simple Linear Regression

Marianne Clausel (1) , Gérard Grégoire (2)

1 SAM - Statistique Apprentissage Machine
2 FIGAL - Fiabilité et Géométrie Aléatoire

Two exercises are proposed to illustrate the simple linear regression. The first one is based on the famous Galton's data set on heredity. We use the lm R command and get coefficients estimates, standard error of the error, R2, residuals …In the second example, devoted to data related to the vapor tension of mercury, we fit a simple linear regression, predict values, and anticipate on multiple linear regression. This pratical session is an excerpt from practical exercises proposed by A. Dalalyan at EPNC (see Exercises 1 and 2 of http://certis.enpc. fr/∼dalalyan/Download/TP_ENPC_4.pdf).

Domaines: Statistiques [stat]; Calcul [stat.CO]

Marianne Clausel, Gérard Grégoire. Practical Session: Simple Linear Regression. Statistics for Astrophysics Methods and Applications of the Regression, 66, EDP Sciences, pp.41-44, 2014, EAS Publications Series, ISSN: 1633-4760 - eISSN: 1638-1963. ⟨10.1051/eas/1466004⟩. ⟨hal-02019826⟩