Cómo observar el impacto del i-ésimo registro sobre el coeficiente de determinación al ajustar un modelo de regresión lineal múltiple
How to observe the influence of i-th record upon the coefficient of determination in multiple regression models
Abstract (en)
This article exposes a procedure to calculate the coefficient of determination R2 i , of a multiple linear regression model Y = Xβ + e adjusted after the elimination of a ith record of the data. The procedure allows to observe the behavior of the coefficient of determination when the eliminated record, influences the sum of squared error of the residual SSE by the statistic Qi. It is included in this article the program in R to make the calculations.
Abstract (es)
En este artículo se expone un procedimiento para calcular el coeficiente de determinación R2 i , del modelo de regresión lineal múltiple Y = Xβ + e ajustado después de eliminar el i-ésimo registro. El procedimiento permite observar el comportamiento del coeficiente de determinación, cuando el registro eliminado es influyente para la suma de cuadrados residual SSE según la estadística Qi. Se incluye la sintaxis para realizar los cálculos en R.
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