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Regresión y correlación
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En este documento hay información sobre la relación y correlación con sus fórmulas, maneras de graficar.
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Regresión y correlaciónDiagrama de dispersión en una nube de puntos y utiliza un sistema de
coordenadas, en el eje “x” y en el eje “y”.
Patrones
Ascendente
Descendente
Dispersos
Parábola cóncava hacia abajo
Alta positiva
Perfecta positiva
Alta negativa
Perfecta negativa
Estas gráficas son bivariadas y para hacerlas las variables tienen que
ser cuantitativa continua y en caso de ser perfectas tienden a ser sólo para el
grupo de datos.
El coeficiente de correlación de Spearman ayuda en relación no lineal
mientras Pearson es para relaciones lineales.
Correlación de Pearson
Mide la fuerza de la relación lineal entre valores cuantitativos
apareados “x” y “y” en una muestra.
𝑛 ∑𝑛𝑖=1 𝑥𝑦 − ∑𝑛𝑖=1 𝑥 . ∑𝑛𝑖=1 𝑦
𝑟=
2 2
√[𝑛 ∑𝑛𝑖=1 𝑥 2 − (∑𝑛𝑖=1 𝑥 ) ] . [𝑛 ∑𝑛𝑖=1 𝑦 2 − (∑𝑛𝑖=1 𝑦) ]
-1<r<1
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