14. Régression linéaire multiple
223
graisse
60
80
100
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165 175 185 195
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0 10 20 30 40
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60
80 100
cor=0.61
poids
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poignet
Figure 14.1 – Relations entre six prédicteurs et une variable réponse.
on considérait une infinité de groupes (un groupe pour chacune des valeurs
possibles du seul prédicteur) et on s’intéressait aux moyennes de la variable Y
dans chacun de ces groupes. Ce sera pareil en régression multiple, sauf que l’on
aura une infinité de groupes « encore plus grande ». On aura entre autres (en
reprenant l’exemple ci-dessus) :
• les individus pesant 80 kg, âgés de 40 ans, mesurant 175 cm, avec un
abdomen de 115 cm, un biceps de 30 cm et un poignet de 19 cm
• les individus pesant 90 kg, âgés de 35 ans, mesurant 192 cm, avec un
abdomen de 95 cm, un biceps de 28 cm et un poignet de 17 cm
• les individus pesant 91 kg, âgés de 35 ans, mesurant 192 cm, avec un
abdomen de 95 cm, un biceps de 28 cm et un poignet de 17 cm
• etc.