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20030101
Représentation graphique d’une régression exponentielle (
y = a·b
x
)
La régressio exponentielle peut être utilisée lorsque y est proportionnel à la fonction
exponentielle de base b de x. La formule de régression exponentielle normale dans ce cas
est y = a·b
x
. Si l’on prend les logarithmes népériens des deux côtés, on a ln(y) = ln(a) +
(ln(b)) · x. Ensuite, si l’on suppose que Y = ln(y), A = ln(a) et B = ln(b), la formule correspond
à la formule de régression linéaire Y = A + B·x.
u Opérations sur le ClassPad
Commencez l’opération à partir de la fenêtre graphique ou de la fenêtre de listes de
l’application Statistiques.
A partir de la fenêtre graphique
Tapez sur [Calc] [abExponential Reg] [OK] [OK] ".
A partir de la fenêtre de listes
Tapez sur [SetGraph] [Setting…] ou G.
Dans la boîte de dialogue de configuration des graphiques statistiques qui apparaît,
paramétrez une configuration StatGraph à partir du réglage suivant et tapez sur [Set].
Type : abExpR
Tapez sur y pour tracer le graphique.
7-5-11
Représentation graphique de données statistiques à deux variables
La formule type de régression exponentielle est la suivante.
y = a·b
x
a : coefficient de régression
b : terme de la constante de régression
r : coefficient de corrélation
r
2
: coefficient de détermination
MSe : erreur quadratique moyenne
• MSe =
Σ
1
n2
i=1
n
(ln (yi) – (ln (a) + (ln (b))
.
xi))
2
20030401
346

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