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78 Feuille de calcul Statistics
Calcul automatique des valeurs
A l'exception des valeurs de X' et Y', les valeurs des variables de
statistiques sont calculées et affichées automatiquement lorsque vous y
accédez.
Utilisation de X' et Y' valeurs estimées en utilisant le
modèle de régression
Pour estimer la valeur Y' (respectivement X') obtenue par le modèle il
suffit de donner la valeur X' (respectivement Y').
Modèles d'ajustement
Il existe quatre modèles d'ajustement d'un nuage de points.
X est la variable explicative et Y la variable expliquée.
Les régressions sont des régressions linéaires au sens des moindres carrés
obtenues avec les variables :
X et Y pour LIN.
Ln(x) et Y pour Ln.
X et ln(y) pour EXP.
Ln(x) et Ln (y) pour PWR.
La calculatrice détermine la droite de régression linéaire au sens des
moindres carrés : Y= a+bX.
Coefficient de corrélation
La calculatrice détermine également le coefficient de corrélation linéaire
r, qui mesure l'adéquation de l'ajustement linéaire aux données. En règle
générale :
•Plus
r est proche de 1 ou -1, meilleur est l'ajustement.
•Plus
r est proche de zéro, moins bon est l'ajustement.
Modèle Formule Restrictions
LIN
Y = a + b X Aucune
Ln
Y = a + b ln(X) Toutes les valeurs de X
sont positives
EXP
Y = a b
x
Toutes les valeurs de Y
sont positives
PWR
Y = a X
b
Toutes les valeurs de X et Y
sont positives
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