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% Document Info
\author{julenx}
\pdfinfo{
  /Title (regresion-multi-polinonimica-con-r.pdf)
  /Creator (Cheatography)
  /Author (julenx)
  /Subject (Regresión multi-polinónimica con R Cheat Sheet)
}

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\fancyhead[L]{
\noindent
\begin{multicols}{3}
\begin{tabulary}{5.8cm}{C}
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    \vspace{-7pt}
    {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent
        \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}}
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\begin{tabulary}{11cm}{L}
    \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Regresión multi-polinónimica con R Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{julenx} via \textcolor{DarkBackground}{\uline{cheatography.com/168626/cs/35666/}}}
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\noindent
\begin{multicols}{3}
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  \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}}  \\
  \vspace{-2pt}julenx \\
  \uline{cheatography.com/julenx} \\
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\columnbreak
\begin{tabulary}{5.8cm}{L}
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  \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}}  \\
   \vspace{-2pt}Published 29th November, 2022.\\
   Updated 24th November, 2022.\\
   Page {\thepage} of \pageref{LastPage}.
\end{tabulary}
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  Measure your website readability!\\
  www.readability-score.com
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\begin{document}
\raggedright
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\begin{multicols*}{3}

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\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Sintaxis}}  \tn
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\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Formato stargazer para summary}}  \tn
% Row 0
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\mymulticolumn{1}{x{5.377cm}}{library(stargazer)} \tn 
% Row Count 1 (+ 1)
% Row 1
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\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Selección del mejor modelo de regresión lineal}}  \tn
% Row 0
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\mymulticolumn{1}{x{5.377cm}}{Después de hacer comprobado el mejor modelo, se hace summary(mod) y se quitan las variables mayores de 0.05 en Pr(\textgreater{}|t|). Después comparamos R2, AIC y BIC con el anterior modelo.} \tn 
\mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Opción 1} \tn 
% Row Count 5 (+ 5)
% Row 1
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\mymulticolumn{1}{x{5.377cm}}{step(mod,direction="backward")} \tn 
\mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Opción 2} \tn 
% Row Count 7 (+ 2)
% Row 2
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\mymulticolumn{1}{x{5.377cm}}{mod\_cte= lm(wage\textasciitilde{}1,data=wage1)} \tn 
% Row Count 8 (+ 1)
% Row 3
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\mymulticolumn{1}{x{5.377cm}}{step(mod\_cte,direction="forward",scope=list(lower=mod\_cte, upper=mod))} \tn 
\mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Opción 3} \tn 
% Row Count 11 (+ 3)
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\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{incluir no-linealidad en un modelo de regresión}}  \tn
% Row 0
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\mymulticolumn{1}{x{5.377cm}}{model1 \textless{}- lm(wage \textasciitilde{} educ, data = wdata)} \tn 
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% Row Count 2 (+ 2)
% Row 1
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\mymulticolumn{1}{x{5.377cm}}{model2 \textless{}- lm(wage \textasciitilde{} educ+I(educ\textasciicircum{}2), data = wdata)} \tn 
\mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}cuadrático} \tn 
% Row Count 4 (+ 2)
% Row 2
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\mymulticolumn{1}{x{5.377cm}}{model3 \textless{}- lm(log(wage) \textasciitilde{} educ, data = wdata)} \tn 
\mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}exponencial} \tn 
% Row Count 6 (+ 2)
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\begin{tabularx}{5.377cm}{X}
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\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{10. Extracción del estadístico F y su p-valor}}  \tn
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\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Diagnosis regresión lineal múltiple (1 extra)}}  \tn
% Row 0
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\mymulticolumn{1}{x{5.377cm}}{Relativos a los residuos} \tn 
\mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Los errores del modelo han de seguir una distribución normal (1er gráfico) con media 0 y varianza  σ2  constante (2do gráfico)} \tn 
% Row Count 4 (+ 4)
% Row 1
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{Relativos al modelo} \tn 
\mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Los puntos han de ajustarse a la estructura lineal considerada (3er gráfico)} \tn 
% Row Count 7 (+ 3)
% Row 2
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Relativos a las observaciones anómalas} \tn 
\mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Puede que algunas de las observaciones no se ajusten al modelo, comprometiendo su validez general (4to gráfico)} \tn 
% Row Count 11 (+ 4)
% Row 3
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{Relativos a las variables independientes} \tn 
\mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Ninguna de las variables explicativas es combinación lineal de las demás. En el caso de regresión múltiple es de especial interés el fenómeno de la colinealidad (o multicolinealidad). Cuando algunas variables explicativas estén altamente correlacionadas entre sí, tendremos una situación de alta colinealidad. En este caso las estimaciones de los parámetros pueden verse seriamente afectadas:} \tn 
% Row Count 21 (+ 10)
% Row 4
\SetRowColor{LightBackground}
\mymulticolumn{1}{x{5.377cm}}{Problemas de colinealidad} \tn 
\mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}Tendrán varianzas muy altas (serán poco eficientes) \{\{nl\}\} Habrá mucha dependencia entre ellas (al modificar ligeramente el modelo, añadiendo o eliminando una variable o una observación, se producirán grandes cambios en las estimaciones de los efectos). \{\{nl\}\} Incluso puede ocurrir que el contraste de regresión sea significativo (alto coeficiente de determinación), pero los contrastes individuales sean no significativos.} \tn 
% Row Count 32 (+ 11)
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\par\addvspace{1.3em}

\vfill
\columnbreak
\begin{tabularx}{5.377cm}{X}
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\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Diagnosis regresión lineal múltiple (1 extra) (cont)}}  \tn
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\mymulticolumn{1}{x{5.377cm}}{Por último} \tn 
\mymulticolumn{1}{x{5.377cm}}{\hspace*{6 px}\rule{2px}{6px}\hspace*{6 px}confirméis con evidencias numéricas y contrastadas las hipótesis de homocedasticidad de los residuos y la existencia de una relación lineal entre los valores ajustados y los residuos.} \tn 
% Row Count 5 (+ 5)
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}