Corrélation linéaire et régression linéaire simple


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PDF Régression linéaire simple et corrélation

La régression linéaire implique une relation linéaire : un graphique des valeurs observées (y) en fonction de la variable explicative (x) permet de vérifier la 

  • Quel est le lien entre le coefficient de détermination R2 et le coefficient de corrélation ?

    Le coefficient de détermination se calcule comme le carré du coefficient de corrélation R2 entre une variable dépendante et une ou plusieurs variables indépendantes; il exprime la part de la variance de la variable dépendante qui provient de celles des variables indépendantes.

  • Quelle est la différence entre la corrélation et la régression ?

    La corrélation mesure l'intensité de la liaison entre des variables, tandis que la régression analyse la relation d'une variable par rapport à une ou plusieurs autres.

  • Quels sont les différents types de corrélation ?

    Les valeurs positives de r indiquent une corrélation positive lorsque les valeurs des deux variables tendent à augmenter ensemble.
    Les valeurs négatives de r indiquent une corrélation négative lorsque les valeurs d'une variable tend à augmenter et que les valeurs de l'autre variable diminuent.

  • Le coefficient de corrélation est la mesure spécifique qui quantifie la force de la relation linéaire entre deux variables d'une analyse de corrélation.

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Le coefficient de corrélation linéaire (r) quantifie la force du lien entre les deux variables d'une distribution et le sens (positif ou négatif).Autres questions
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