Cfrgtkky

I've already tried different codes with tikzpicture but especially the normal distribution graphs are giving me headaches.

Any ideas?

Would appreciate any kind of help!

That is what I have got so far, but I have no clue how to integrate the normal distributions ...

documentclass{article}

usepackage{tikzsymbols}

usepackage{pgfplots} 

usepackage{pgfplotstable}



pgfplotstableread{

X Y

0 2 

1 2.25

2 2.5

3 2.75

4 2

5 2.75

6 3

7 3.25

8 3.5

9 3.75

10 4

}datatable



begin{document}

pgfplotsset{every axis legend/.append style={

        cells={anchor=west}}}



begin{tikzpicture}

begin{axis}[legend pos=north west,xmin=0,xmax=10,

ymin=0,ymax=5,enlargelimits=0.1]



addplot[draw=none,color=red] table [

x=X,

y={create col/linear regression={y=Y}},

] {datatable};

xdefslope{pgfplotstableregressiona}

xdefoffset{pgfplotstableregressionb}

addplot[no marks,color=red,domain=-2:9] {slope*x+offset};

addlegendentry{$E(Y | x_i)$}

coordinate (aux1) at (2,{slope*2+offset});

coordinate (aux2) at (2,2.5);

end{axis}

end{tikzpicture}

end{document}

Here is a proposal: define a pic for the Gaussian and place it wherever you want.

documentclass{article}

usepackage{pgfplots} 

pgfplotsset{compat=1.16}

usepackage{pgfplotstable}



pgfplotstableread{

X Y

0 2 

1 2.25

2 2.5

3 2.75

4 2

5 2.75

6 3

7 3.25

8 3.5

9 3.75

10 4

}datatable

tikzset{pics/.cd,

Gaussian/.style={code={

draw[gray] plot[variable=x,domain=-GaussDomain:GaussDomain] ({GaussHeight*exp(-2*x*x/GaussWidth)},x);

draw[gray,dashed] (0,0) -- (GaussHeight,0);

}}}

pgfkeys{Gauss width/.store in=GaussWidth,

Gauss width=0.5,

Gauss height/.store in=GaussHeight,

Gauss height=0.8,

Gauss domain/.store in=GaussDomain,

Gauss domain=1.2

}

begin{document}

pgfplotsset{every axis legend/.append style={

        cells={anchor=west}}}



begin{tikzpicture}

begin{axis}[legend pos=north west,xmin=0,xmax=10,

ymin=0,ymax=5,enlargelimits=0.1]



addplot[draw=none,color=red] table [

x=X,

y={create col/linear regression={y=Y}},

] {datatable};

xdefslope{pgfplotstableregressiona}

xdefoffset{pgfplotstableregressionb}

addplot[no marks,color=red,domain=-2:9] {slope*x+offset}

coordinate[pos=0.3](p1) coordinate[pos=0.7](p2);

addlegendentry{$E(Y | x_i)$}

% coordinate (aux1) at (2,{slope*2+offset});

% coordinate (aux2) at (2,2.5);

end{axis}

path foreach X in {1,2} {(pX) pic{Gaussian}};

end{tikzpicture}

end{document}

You can adjust the width, height, domain or color of the Gaussian by setting the corresponding pgf keys accordingly.