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uRégression quadratique
La formule de régression pour la régression quadratique
est :
y = A + Bx + Cx
2
.
Exemple:
Effectuez une régression quadratique
pour déterminer les termes de la
formule de régression pour les
données ci-contre. Utilisez ensuite la
formule de régression pour estimer les
valeurs pour
n (valeur estimée de y)
pour
xi = 16 et m (valeur estimée de x)
pour
yi = 20.
Dans le mode REG:
r
3
(Quad)
A B 1
(Scl) = (Stat clear)
29
P 1.6 S 50 P 23.5 S
74 P 38.0 S 103 P 46.4 S
118 P 48.0 S
Coefficient de régression A =
–35,59856934
A X r r 1 =
Coefficient de régression B =
1,495939413
A X r r 2 =
Coefficient de régression C =
6,71629667
i
10
–3
A X r r 3 =
n lorsque xi est 16 =
–13,38291067
16 A X r r r 3 =
m1 lorsque yi est 20 =
47,14556728
20 A X r r r 1 =
m2 lorsque yi est 20 =
175,5872105
20 A X r r r 2 =
Précautions concernant la saisie de données
S S saisit deux fois la même donnée.
•Vous pouvez aussi saisir plusieurs fois les mêmes
données en utilisant
A G. Par exemple, pour saisir
cinq fois “20 et 30”, il faut appuyer sur 20
P 30 A G
5 S.
•Vous obtiendrez les mêmes résultats quel que soit l’ordre
dans lequel vous appuyez sur les touches.
Les précautions à prendre lors de l’édition de données
pour l’écart-type sont aussi valides pour les calculs de
régression.
x
i
y
i
29 1,6
50 23,5
74 38,0
103 46,4
118 48,0
30


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