42 lines
1.7 KiB
TeX
42 lines
1.7 KiB
TeX
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% ref. https://tex.stackexchange.com/a/523362/235607
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\documentclass[tikz]{standalone}
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\usepackage{tikz-3dplot}
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\usepackage{tkz-euclide}
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\usepackage{mathtools}
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\begin{document}
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\tdplotsetmaincoords{50}{0}
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\begin{tikzpicture}[tdplot_main_coords,bullet/.style={circle,inner
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sep=1pt,fill=black,fill opacity=1}]
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\begin{scope}[canvas is xy plane at z=0]
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\tkzDefPoints{-2/-1/A,3/-1/B,4/2/C}
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\tkzDefParallelogram(A,B,C)
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\tkzGetPoint{D}
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\tkzDrawPolygon[fill=gray!25!white](A,B,C,D)
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\end{scope}
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% Draw the rectangle triangle scheme
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\begin{scope}[canvas is xz plane at y=1]
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\draw[thick,fill=white,fill opacity=0.7,nodes={opacity=1}]
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(2,0) node[bullet,label=right:{$\bar{\mathbf{Y}}$}] (Y_bar) {}
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-- (0,-0.5) node (B) {}
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-- (0,3) node[label=above:{$\mathbf{Y}$}] (Y) {} -- cycle;
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% Right angle annotation
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\tkzPicRightAngle[draw,
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angle eccentricity=.5,angle radius=2mm](Y,B,Y_bar)
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% epsilon: Y - X \hat{\beta} curly brackets annotations
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\draw[decorate,decoration={brace,
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amplitude=8pt},xshift=0pt,very thin,gray] (B) -- (Y) node [black,midway,xshift=-1.25em,yshift=0em] {\color{blue}$b$};
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% X\hat{\beta} - \hat{Y}
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\draw[decorate,decoration={brace,
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amplitude=8pt},xshift=0pt,very thin,gray] (Y_bar) -- (B) node [black,midway,xshift=0.5em,yshift=-1em] {\color{blue}$a$};
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%
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\draw[decorate,decoration={brace,
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amplitude=8pt},xshift=0pt,very thin,gray] (Y) -- (Y_bar) node [black,midway,xshift=1em,yshift=1em] {\color{blue}$c$};
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\end{scope}
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% Coordinate system
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\begin{scope}[canvas is xy plane at z=0]
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\draw[->] (2,1) -- node [above] {$\mathbf{1}$} ++(-1,0) ;
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\draw[->] (2,1) -- ++(-0.45,-1) node [right] {$X_1$};
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\end{scope}
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\end{tikzpicture}
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\end{document}
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