From 3ff77c880c8a940bf0ac836924c3fe2ec75ed5b5 Mon Sep 17 00:00:00 2001
From: Hendrik Tillemans <hendrik@snamellit.com>
Date: Mon, 30 Dec 2024 00:35:42 +0100
Subject: [PATCH] simulation code done

---
 figures/quadratic_model_linear.png            | Bin 0 -> 36050 bytes
 figures/quadratic_model_quadratic.png         | Bin 0 -> 37013 bytes
 figures/quadratic_model_y.png                 | Bin 0 -> 28349 bytes
 figures/vub.png                               | Bin 0 -> 6033 bytes
 report/Assignment.tex                         | 303 ++++++++++++++++++
 report/df_table.tex                           |   9 +
 report/example_report_24.tex                  | 263 +++++++++++++++
 report/results_coef.tex                       |   9 +
 report/summary.tex                            |  34 ++
 report/table_1_2.tex                          |   9 +
 report/table_1_3.tex                          |   8 +
 report/table_1_4.tex                          |   9 +
 report/table_1_5.tex                          |   8 +
 report/table_1_6.tex                          |   9 +
 ...signment_empirical_jan_2025_starter (1).py | 207 ++++++++++++
 .../assignment_simulation_jan_2025_starter.py |  93 ++++++
 scripts/empirical.py                          | 207 ++++++++++++
 scripts/helper.py                             |  84 +++++
 scripts/non_linear_models_example_report.py   | 198 ++++++++++++
 scripts/show_seed.py                          |   3 -
 scripts/simulation.py                         | 188 +++++++++++
 scripts/util/__init__.py                      |  24 --
 22 files changed, 1638 insertions(+), 27 deletions(-)
 create mode 100644 figures/quadratic_model_linear.png
 create mode 100644 figures/quadratic_model_quadratic.png
 create mode 100644 figures/quadratic_model_y.png
 create mode 100644 figures/vub.png
 create mode 100644 report/Assignment.tex
 create mode 100644 report/df_table.tex
 create mode 100644 report/example_report_24.tex
 create mode 100644 report/results_coef.tex
 create mode 100644 report/summary.tex
 create mode 100644 report/table_1_2.tex
 create mode 100644 report/table_1_3.tex
 create mode 100644 report/table_1_4.tex
 create mode 100644 report/table_1_5.tex
 create mode 100644 report/table_1_6.tex
 create mode 100644 scripts/assignment_empirical_jan_2025_starter (1).py
 create mode 100644 scripts/assignment_simulation_jan_2025_starter.py
 create mode 100644 scripts/empirical.py
 create mode 100644 scripts/helper.py
 create mode 100644 scripts/non_linear_models_example_report.py
 delete mode 100644 scripts/show_seed.py
 create mode 100644 scripts/simulation.py
 delete mode 100644 scripts/util/__init__.py

diff --git a/figures/quadratic_model_linear.png b/figures/quadratic_model_linear.png
new file mode 100644
index 0000000000000000000000000000000000000000..76833686647fcc1b955b439995075dd5ee820d68
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diff --git a/report/Assignment.tex b/report/Assignment.tex
new file mode 100644
index 0000000..d14f1c4
--- /dev/null
+++ b/report/Assignment.tex
@@ -0,0 +1,303 @@
+\documentclass[12pt]{article}
+\usepackage{natbib}
+\usepackage{url}
+\usepackage[utf8x]{inputenc}
+\usepackage{mathtools}% 
+\usepackage{graphicx}
+\usepackage{parskip}
+\usepackage{xcolor}%
+\usepackage{fancyhdr}
+\usepackage{vmargin}
+\usepackage{booktabs}%
+\usepackage{sectsty}% for coloring sections
+\setmarginsrb{3 cm}{2.5 cm}{3 cm}{2.5 cm}{1 cm}{1.5 cm}{1 cm}{1.5 cm}
+
+% define your own custom colors
+% If you want to change the colors you would need to update the RGB code in the 
+% last brackets. Better not change the name of the color as it is used elsewhere
+\definecolor{report_main}{HTML}{200045}
+\definecolor{report_second}{HTML}{F39912}
+\definecolor{report_third}{HTML}{8B0010}
+
+\title{\color{report_main}{Assignment Econometrics 2024}}		% Title
+\author{Hendrik Marcel W Tillemans}						% Author
+\date{\today}											% Date
+
+\makeatletter
+\let\thetitle\@title
+\let\theauthor\@author
+\let\thedate\@date
+\makeatother
+
+\pagestyle{fancy}
+\fancyhf{}
+\rhead{\theauthor} % header on the right
+\lhead{\thetitle}  % header on the left
+\cfoot{\thepage}   % footer in the center
+
+\sectionfont{\color{report_main}}
+\subsectionfont{\color{report_third}}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This is where the actual document starts
+% 
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\begin{document}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This section details the group information
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\begin{titlepage}
+	\centering
+    \vspace*{0.5 cm}
+    \includegraphics[scale = 0.95]{../figures/vub.png}\\[1.0 cm]	% University Logo
+    \textsc{\LARGE \newline\newline Free University Brussels}\\[2.0 cm]	% University Name
+	\textsc{\Large \color{report_main}{Class: Econometrics}}\\[0.5 cm]				% Course Code
+	\rule{\linewidth}{0.2 mm} \\[0.4 cm]
+	{ \huge \bfseries \thetitle}\\
+	\rule{\linewidth}{0.2 mm} \\[1.5 cm]
+	
+	\begin{minipage}{0.5\textwidth}
+		\begin{flushleft} \large
+			\emph{Professor:}\\
+			Jeroen Kerkhof\\
+            Faculty of Economic Sciences\\
+			\end{flushleft}
+			\end{minipage}~
+			\begin{minipage}{0.4\textwidth}
+            
+			\begin{flushright} \large
+			\emph{Group:} \\
+Hendrik Marcel W Tillemans\\
+             
+		\end{flushright}
+        
+	\end{minipage}\\[2 cm]
+
+	% takes the current date	
+    \thedate
+        	
+\end{titlepage}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This details the inclusion (or not) of the table of contents
+% and list of figures and tables. 
+% You can add/remove page breaks as you seem fit.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\tableofcontents
+
+\pagebreak
+
+\listoffigures
+
+\listoftables
+
+\pagebreak
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This is the start of the actual document content
+% You can just write text in here as you would in any other word processor.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\section{Question 1}
+
+This my answer to question 1.
+
+\subsection{Example}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\pagebreak
+
+creates a page break.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+\section{Simulation Study}
+
+\subsection{1.2: Linear Fit on Generated Data}
+
+\begin{table}[h]
+\input{table_1_2}
+\caption{Linear Fit on Generated Data}
+\label{tab::table_1_2}
+\end{table}
+ 
+\subsection{1.3: Linear Fit with 1 Variable}
+
+\begin{table}[h]
+\input{table_1_3}
+\caption{Linear Fit with 1 Variable}
+\label{tab::table_1_3}
+\end{table}
+
+\subsection{1.4: New Linear Fit on Generated Data}
+
+\begin{table}[h]
+\input{table_1_4}
+\caption{New Linear Fit on Generated Data}
+\label{tab::table_1_4}
+\end{table}
+
+\subsection{1.5: New Linear Fit with 1 Variable}
+
+\begin{table}[h]
+\input{table_1_5}
+\caption{Linear Fit with 1 Variable}
+\label{tab::table_1_5}
+\end{table}
+
+\subsection{1.6: Generate Data with Small Variance on x1}
+
+\begin{table}[h]
+\input{table_1_6}
+\caption{Generate Data with Small Variance on x1}
+\label{tab::table_1_6}
+\end{table}
+
+\section{examples}
+Some greek letters:
+
+$\alpha$
+$\beta$
+$\gamma$
+$\theta$
+$\varepsilon$
+$\pi$
+$\lambda$
+$\tau$
+
+$x=x+27$
+x=x+27
+
+
+
+$A \Longrightarrow B$
+
+
+$\underbrace{abs}_{test}$
+
+sub and superscript
+
+$\beta_0$
+$\sum_{i=1}^{n} i$
+
+In an equation:
+
+\begin{equation}
+\sum_{j=1}{n} j^2 \beta
+\end{equation}
+
+Equation without number
+
+\begin{equation*}
+A \Rightarrow B
+\end{equation*}
+
+
+\section{Empirical Investigation}
+
+Here is some example code to create tables and graphs from the 
+Python script. In order for this to work you would first need 
+to run the script non\_linear\_models\_example\_report.py. Running that 
+file (using the recommended file structure) creates some figures 
+in the figures folder and some tables in .tex files in the report folder.
+
+
+\subsection{Question 3}
+
+For instance, here the file df\_table.tex is used print the actual numbers 
+in the table.
+
+\begin{table}[h]
+\input{df_table}
+\caption{This tables has the estimates for ...}
+\label{tab::estimation_results}
+\end{table}
+
+\subsection{Question 4: Some graphs}
+
+\begin{figure}
+\includegraphics[width=0.6\paperwidth]{../figures/quadratic_model_y}
+\caption{This is a Figure coming straight from Python.}
+\label{fig::example_data}
+\end{figure}
+
+In Figure \ref{fig::example_data} we see the data.
+
+\begin{figure}
+\includegraphics[width=0.6\paperwidth]{../figures/quadratic_model_linear}
+\caption{This is a linear fit on a quadratic model.}
+\label{fig::example_quadratic_linear}
+\end{figure}
+
+In Figure \ref{fig::example_quadratic_linear} we see a linear fit.
+
+
+\begin{figure}
+\includegraphics[width=0.6\paperwidth]{../figures/quadratic_model_quadratic}
+\caption{This is quadratic fit on a quadratic model.}
+\label{fig::example_quadratic_quadratic}
+\end{figure}
+
+In Figure \ref{fig::example_quadratic_quadratic} we see that
+
+\subsection{Question 5}
+
+Equation example with matrices:
+
+\begin{equation}\label{eq::wald_test}
+H_0: \beta_1 = - \beta_2; \beta_3=0; \beta_2 + 2\beta_4 = 2
+\quad H_1: \neg H_0
+\end{equation}
+
+can be written in matrix form as:
+\begin{equation}\label{eq::matrix_form}
+\begin{bmatrix}
+1 & 1 & 0 & 0 \\
+0 & 0 & 1 & 0 \\
+0 & 1 & 0 & 2
+\end{bmatrix}
+\begin{bmatrix}
+\beta_1 \\
+\beta_2 \\
+\beta_3 \\
+\beta_4
+\end{bmatrix} = 
+\begin{bmatrix}
+0 \\
+0 \\
+2
+\end{bmatrix}
+\end{equation}
+
+In equation \eqref{eq::wald_test} we see that... and in equation \eqref{eq::matrix_form} we see that
+
+\subsection{Question 6}
+
+
+$\beta$
+
+\begin{table}
+\input{summary}
+\caption{This tables has the estimates summary}
+\label{tab::estimation_results_summary}
+\end{table}
+
+Table \ref{tab::estimation_results_summary} has the full summary.
+
+\begin{table}
+\input{results_coef}
+\caption{This tables has the estimates summary}
+\label{tab::estimation_results_coef}
+\end{table}
+
+Table \ref{tab::estimation_results_coef} has the only the coefficient 
+results.
+
+
+\end{document}
diff --git a/report/df_table.tex b/report/df_table.tex
new file mode 100644
index 0000000..41ec828
--- /dev/null
+++ b/report/df_table.tex
@@ -0,0 +1,9 @@
+\begin{tabular}{lrrrrr}
+\toprule
+ & coeff & tvals & pvals & conf\_lower & conf\_higher \\
+\midrule
+0 & 17.880000 & 1.730000 & 0.090000 & -2.800000 & 38.560000 \\
+1 & 0.390000 & 0.560000 & 0.580000 & -0.990000 & 1.770000 \\
+2 & -0.490000 & -18.290000 & 0.000000 & -0.550000 & -0.440000 \\
+\bottomrule
+\end{tabular}
diff --git a/report/example_report_24.tex b/report/example_report_24.tex
new file mode 100644
index 0000000..0df8016
--- /dev/null
+++ b/report/example_report_24.tex
@@ -0,0 +1,263 @@
+\documentclass[12pt]{article}
+\usepackage{natbib}
+\usepackage{url}
+\usepackage[utf8x]{inputenc}
+\usepackage{mathtools}% 
+\usepackage{graphicx}
+\usepackage{parskip}
+\usepackage{xcolor}%
+\usepackage{fancyhdr}
+\usepackage{vmargin}
+\usepackage{booktabs}%
+\usepackage{sectsty}% for coloring sections
+\setmarginsrb{3 cm}{2.5 cm}{3 cm}{2.5 cm}{1 cm}{1.5 cm}{1 cm}{1.5 cm}
+
+% define your own custom colors
+% If you want to change the colors you would need to update the RGB code in the 
+% last brackets. Better not change the name of the color as it is used elsewhere
+\definecolor{report_main}{HTML}{200045}
+\definecolor{report_second}{HTML}{F39912}
+\definecolor{report_third}{HTML}{8B0010}
+
+\title{\color{report_main}{Assignment Econometrics 2024}}		% Title
+\author{Hendrik Marcel W Tillemans}						% Author
+\date{\today}											% Date
+
+\makeatletter
+\let\thetitle\@title
+\let\theauthor\@author
+\let\thedate\@date
+\makeatother
+
+\pagestyle{fancy}
+\fancyhf{}
+\rhead{\theauthor} % header on the right
+\lhead{\thetitle}  % header on the left
+\cfoot{\thepage}   % footer in the center
+
+\sectionfont{\color{report_main}}
+\subsectionfont{\color{report_third}}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This is where the actual document starts
+% 
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\begin{document}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This section details the group information
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\begin{titlepage}
+	\centering
+    \vspace*{0.5 cm}
+    \includegraphics[scale = 0.95]{../figures/vub.png}\\[1.0 cm]	% University Logo
+    \textsc{\LARGE \newline\newline Free University Brussels}\\[2.0 cm]	% University Name
+	\textsc{\Large \color{report_main}{Class: Econometrics}}\\[0.5 cm]				% Course Code
+	\rule{\linewidth}{0.2 mm} \\[0.4 cm]
+	{ \huge \bfseries \thetitle}\\
+	\rule{\linewidth}{0.2 mm} \\[1.5 cm]
+	
+	\begin{minipage}{0.5\textwidth}
+		\begin{flushleft} \large
+			\emph{Professor:}\\
+			Jeroen Kerkhof\\
+            Faculty of Economic Sciences\\
+			\end{flushleft}
+			\end{minipage}~
+			\begin{minipage}{0.4\textwidth}
+            
+			\begin{flushright} \large
+			\emph{Group:} \\
+			Hendrik Marcel W Tillemans
+		\end{flushright}
+        
+	\end{minipage}\\[2 cm]
+
+	% takes the current date	
+    \thedate
+        	
+\end{titlepage}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This details the inclusion (or not) of the table of contents
+% and list of figures and tables. 
+% You can add/remove page breaks as you seem fit.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\tableofcontents
+
+\pagebreak
+
+\listoffigures
+
+\listoftables
+
+\pagebreak
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% This is the start of the actual document content
+% You can just write text in here as you would in any other word processor.
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\section{Question 1}
+
+This my answer to question 1.
+
+\subsection{Example}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\pagebreak
+
+creates a page break.
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+\section{Simlulation Study}
+
+Here 
+
+Some greek letters:
+
+$\alpha$
+$\beta$
+$\gamma$
+$\theta$
+$\varepsilon$
+$\pi$
+$\lambda$
+$\tau$
+
+$x=x+27$
+x=x+27
+
+
+
+$A \Longrightarrow B$
+
+
+$\underbrace{abs}_{test}$
+
+sub and superscript
+
+$\beta_0$
+$\sum_{i=1}^{n} i$
+
+In an equation:
+
+\begin{equation}
+\sum_{j=1}{n} j^2 \beta
+\end{equation}
+
+Equation without number
+
+\begin{equation*}
+A \Rightarrow B
+\end{equation*}
+
+
+\section{Empirical Investigation}
+
+Here is some example code to create tables and graphs from the 
+Python script. In order for this to work you would first need 
+to run the script non\_linear\_models\_example\_report.py. Running that 
+file (using the recommended file structure) creates some figures 
+in the figures folder and some tables in .tex files in the report folder.
+
+
+\subsection{Question 3}
+
+For instance, here the file df\_table.tex is used print the actual numbers 
+in the table.
+
+\begin{table}[h]
+\input{df_table}
+\caption{This tables has the estimates for ...}
+\label{tab::estimation_results}
+\end{table}
+
+\subsection{Question 4: Some graphs}
+
+\begin{figure}
+\includegraphics[width=0.6\paperwidth]{../figures/quadratic_model_y}
+\caption{This is a Figure coming straight from Python.}
+\label{fig::example_data}
+\end{figure}
+
+In Figure \ref{fig::example_data} we see the data.
+
+\begin{figure}
+\includegraphics[width=0.6\paperwidth]{../figures/quadratic_model_linear}
+\caption{This is a linear fit on a quadratic model.}
+\label{fig::example_quadratic_linear}
+\end{figure}
+
+In Figure \ref{fig::example_quadratic_linear} we see a linear fit.
+
+
+\begin{figure}
+\includegraphics[width=0.6\paperwidth]{../figures/quadratic_model_quadratic}
+\caption{This is quadratic fit on a quadratic model.}
+\label{fig::example_quadratic_quadratic}
+\end{figure}
+
+In Figure \ref{fig::example_quadratic_quadratic} we see that
+
+\subsection{Question 5}
+
+Equation example with matrices:
+
+\begin{equation}\label{eq::wald_test}
+H_0: \beta_1 = - \beta_2; \beta_3=0; \beta_2 + 2\beta_4 = 2
+\quad H_1: \neg H_0
+\end{equation}
+
+can be written in matrix form as:
+\begin{equation}\label{eq::matrix_form}
+\begin{bmatrix}
+1 & 1 & 0 & 0 \\
+0 & 0 & 1 & 0 \\
+0 & 1 & 0 & 2
+\end{bmatrix}
+\begin{bmatrix}
+\beta_1 \\
+\beta_2 \\
+\beta_3 \\
+\beta_4
+\end{bmatrix} = 
+\begin{bmatrix}
+0 \\
+0 \\
+2
+\end{bmatrix}
+\end{equation}
+
+In equation \eqref{eq::wald_test} we see that... and in equation \eqref{eq::matrix_form} we see that
+
+\subsection{Question 6}
+
+
+$\beta$
+
+\begin{table}
+\input{summary}
+\caption{This tables has the estimates summary}
+\label{tab::estimation_results_summary}
+\end{table}
+
+Table \ref{tab::estimation_results_summary} has the full summary.
+
+\begin{table}
+\input{results_coef}
+\caption{This tables has the estimates summary}
+\label{tab::estimation_results_coef}
+\end{table}
+
+Table \ref{tab::estimation_results_coef} has the only the coefficient 
+results.
+
+
+\end{document}
diff --git a/report/results_coef.tex b/report/results_coef.tex
new file mode 100644
index 0000000..0b5f6b9
--- /dev/null
+++ b/report/results_coef.tex
@@ -0,0 +1,9 @@
+\begin{tabular}{lrrrrrr}
+\toprule
+ & Coef. & Std.Err. & t & P>|t| & [0.025 & 0.975] \\
+\midrule
+const & 17.880598 & 10.325727 & 1.731655 & 0.088744 & -2.796314 & 38.557509 \\
+x1 & 0.387451 & 0.688193 & 0.562997 & 0.575645 & -0.990632 & 1.765533 \\
+x2 & -0.494529 & 0.027036 & -18.291331 & 0.000000 & -0.548668 & -0.440390 \\
+\bottomrule
+\end{tabular}
diff --git a/report/summary.tex b/report/summary.tex
new file mode 100644
index 0000000..a8662d5
--- /dev/null
+++ b/report/summary.tex
@@ -0,0 +1,34 @@
+\begin{center}
+\begin{tabular}{lclc}
+\toprule
+\textbf{Dep. Variable:}    &        y         & \textbf{  R-squared:         } &     0.936   \\
+\textbf{Model:}            &       OLS        & \textbf{  Adj. R-squared:    } &     0.934   \\
+\textbf{Method:}           &  Least Squares   & \textbf{  F-statistic:       } &     416.4   \\
+\textbf{Date:}             & Sun, 29 Dec 2024 & \textbf{  Prob (F-statistic):} &  9.69e-35   \\
+\textbf{Time:}             &     21:32:34     & \textbf{  Log-Likelihood:    } &   -327.30   \\
+\textbf{No. Observations:} &          60      & \textbf{  AIC:               } &     660.6   \\
+\textbf{Df Residuals:}     &          57      & \textbf{  BIC:               } &     666.9   \\
+\textbf{Df Model:}         &           2      & \textbf{                     } &             \\
+\textbf{Covariance Type:}  &    nonrobust     & \textbf{                     } &             \\
+\bottomrule
+\end{tabular}
+\begin{tabular}{lcccccc}
+               & \textbf{coef} & \textbf{std err} & \textbf{t} & \textbf{P$> |$t$|$} & \textbf{[0.025} & \textbf{0.975]}  \\
+\midrule
+\textbf{const} &      17.8806  &       10.326     &     1.732  &         0.089        &       -2.796    &       38.558     \\
+\textbf{x1}    &       0.3875  &        0.688     &     0.563  &         0.576        &       -0.991    &        1.766     \\
+\textbf{x2}    &      -0.4945  &        0.027     &   -18.291  &         0.000        &       -0.549    &       -0.440     \\
+\bottomrule
+\end{tabular}
+\begin{tabular}{lclc}
+\textbf{Omnibus:}       &  0.223 & \textbf{  Durbin-Watson:     } &    2.169  \\
+\textbf{Prob(Omnibus):} &  0.894 & \textbf{  Jarque-Bera (JB):  } &    0.397  \\
+\textbf{Skew:}          & -0.106 & \textbf{  Prob(JB):          } &    0.820  \\
+\textbf{Kurtosis:}      &  2.662 & \textbf{  Cond. No.          } &     837.  \\
+\bottomrule
+\end{tabular}
+%\caption{OLS Regression Results}
+\end{center}
+
+Notes: \newline
+ [1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
\ No newline at end of file
diff --git a/report/table_1_2.tex b/report/table_1_2.tex
new file mode 100644
index 0000000..67e88df
--- /dev/null
+++ b/report/table_1_2.tex
@@ -0,0 +1,9 @@
+\begin{tabular}{lrrrr}
+\toprule
+ & True & Estimated & Std Err & t-Stat \\
+\midrule
+0 & 3.000000 & 2.962797 & 0.117377 & 25.241713 \\
+1 & -4.000000 & -4.018728 & 0.015964 & -251.729125 \\
+2 & 2.000000 & 1.985917 & 0.020033 & 99.132074 \\
+\bottomrule
+\end{tabular}
diff --git a/report/table_1_3.tex b/report/table_1_3.tex
new file mode 100644
index 0000000..f1a4fbe
--- /dev/null
+++ b/report/table_1_3.tex
@@ -0,0 +1,8 @@
+\begin{tabular}{lrrrr}
+\toprule
+ & True & Estimated & Std Err & t-Stat \\
+\midrule
+0 & 3.000000 & 7.040489 & 0.362044 & 19.446476 \\
+1 & -4.000000 & -3.986195 & 0.052565 & -75.833855 \\
+\bottomrule
+\end{tabular}
diff --git a/report/table_1_4.tex b/report/table_1_4.tex
new file mode 100644
index 0000000..bfa66a0
--- /dev/null
+++ b/report/table_1_4.tex
@@ -0,0 +1,9 @@
+\begin{tabular}{lrrrr}
+\toprule
+ & True & Estimated & Std Err & t-Stat \\
+\midrule
+0 & 3.000000 & 3.062084 & 0.164930 & 18.565919 \\
+1 & -4.000000 & -4.006083 & 0.020178 & -198.535392 \\
+2 & 2.000000 & 1.974439 & 0.024519 & 80.526341 \\
+\bottomrule
+\end{tabular}
diff --git a/report/table_1_5.tex b/report/table_1_5.tex
new file mode 100644
index 0000000..d4874d8
--- /dev/null
+++ b/report/table_1_5.tex
@@ -0,0 +1,8 @@
+\begin{tabular}{lrrrr}
+\toprule
+ & True & Estimated & Std Err & t-Stat \\
+\midrule
+0 & 3.000000 & 12.965134 & 0.300905 & 43.087097 \\
+1 & -4.000000 & -3.011484 & 0.043688 & -68.931429 \\
+\bottomrule
+\end{tabular}
diff --git a/report/table_1_6.tex b/report/table_1_6.tex
new file mode 100644
index 0000000..fc45dd6
--- /dev/null
+++ b/report/table_1_6.tex
@@ -0,0 +1,9 @@
+\begin{tabular}{lrrrr}
+\toprule
+ & True & Estimated & Std Err & t-Stat \\
+\midrule
+0 & 3.000000 & 3.107269 & 0.320425 & 9.697336 \\
+1 & -4.000000 & -4.067205 & 0.100288 & -40.555170 \\
+2 & 2.000000 & 1.985469 & 0.020038 & 99.084266 \\
+\bottomrule
+\end{tabular}
diff --git a/scripts/assignment_empirical_jan_2025_starter (1).py b/scripts/assignment_empirical_jan_2025_starter (1).py
new file mode 100644
index 0000000..48aaca8
--- /dev/null
+++ b/scripts/assignment_empirical_jan_2025_starter (1).py	
@@ -0,0 +1,207 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Empirical assignment 2024 - 2025
+
+STARTER FILE
+"""
+
+import os
+import numpy as np
+import numpy.linalg as la
+import matplotlib.pyplot as plt
+import statsmodels.api as sm
+import scipy.stats as stats
+import pandas as pd
+
+from helper import print_question, data_frame_to_latex_table_file
+
+# -----------------------------------------------------------------------------
+# -----------------------------------------------------------------------------
+# Start of Script for Empirical assignment Econometrics
+# -----------------------------------------------------------------------------
+# -----------------------------------------------------------------------------
+
+# -----------------------------------------------------------------------------
+# Set the folders for output of graphs and tables
+# -----------------------------------------------------------------------------
+
+# for the figures
+data_dir = '../data/'
+if not os.path.exists(data_dir):
+    os.makedirs(data_dir)
+# for the figures
+figure_dir = '../figures/'
+if not os.path.exists(figure_dir):
+    os.makedirs(figure_dir)
+# for the latex document
+report_dir = '../report/'
+if not os.path.exists(report_dir):
+    os.makedirs(report_dir)
+
+# -----------------------------------------------------------------------------
+# Here we set the seed for our group to your group number
+# -----------------------------------------------------------------------------
+
+
+# first birthday
+bd_1 = 3112
+# second birthday
+bd_2 = 3112
+
+group_seed = bd_1 * bd_2
+
+# set the seed
+np.random.seed(group_seed)
+
+# -----------------------------------------------------------------------------
+# set the random number generator and seed
+# -----------------------------------------------------------------------------
+
+# set the seed and the random number generator for reproducible results
+rng = np.random.default_rng(group_seed)
+
+# setting for output printing
+print_line_length = 90
+print_line_start = 5
+
+# number of x points
+num_points = 60
+
+# -----------------------------------------------------------------------------
+# Load data 2.1
+# -----------------------------------------------------------------------------
+ 
+data_full = pd.read_stata(data_dir + 'assignment2025.dta')
+
+num_obs = int(0.75 * data_full.shape[0])
+# select 75% observations randomly ( the rng uses your seed )
+observations = rng.choice (len(data_full), num_obs , replace =False)
+# select the observationsfor your group
+data = data_full.iloc[observations , :].copy()
+
+#data = data_full
+
+# -----------------------------------------------------------------------------
+# Descriptive statistics 2.1
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.1: Descriptive Statistics')
+
+# compute the summary statistics
+# data_summary = TODO
+
+# print to screen
+# print(data_summary.T) [uncomment]
+
+# export the summary statistics to a file
+# data_frame_to_latex_table_file(report_dir + 'summmary_stats.tex',
+#                               data_summary.T) [uncomment]
+
+# -----------------------------------------------------------------------------
+# Question 2.2
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.2: Plot histogram wage / lwage')
+
+
+# -----------------------------------------------------------------------------
+# Question 2.3
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.3: Sample correlations')
+
+
+# -----------------------------------------------------------------------------
+# Question 2.4
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.4: Estimate lwage model')
+
+# explanatory variables for question 2.4
+# x_vars_24 = data[['smcity', 'AA']] # TODO
+
+# add a constant
+# X_24 = sm.add_constant(x_vars_24) [uncomment]
+
+# set-up model 
+# model_24 = sm.OLS(,) #TODO
+
+# estimate the model
+# results_24 = model_24. #TODO
+
+# print the OLS output
+# print(results_24.summary()) [uncomment]
+
+# export the coefficients part of the summary to a table
+# data_frame_to_latex_table_file(report_dir + 'results_24.tex',
+#                                results_24.summary2().tables[1])
+
+# -----------------------------------------------------------------------------
+# Question 2.5
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.5: Adding school')
+
+# -----------------------------------------------------------------------------
+# Question 2.6
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.6: Adding age')
+
+# -----------------------------------------------------------------------------
+# Question 2.7
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.7: Create the woman variable')
+
+# -----------------------------------------------------------------------------
+# Question 2.8
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.8: lwage model')
+
+# -----------------------------------------------------------------------------
+# Question 2.9
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.9: Test ethnicity')
+
+# -----------------------------------------------------------------------------
+# Question 2.10
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.10: Estimate models separately')
+
+# -----------------------------------------------------------------------------
+# Question 2.11
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.11: Predict lwage')
+
+# -----------------------------------------------------------------------------
+# Question 2.12
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.12: Estimate model with squared terms')
+
+# -----------------------------------------------------------------------------
+# Question 2.13
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.13: Squared terms')
+
+
+# -----------------------------------------------------------------------------
+# Question 2.14
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.14: Add interaction terms')
+
+
+# -----------------------------------------------------------------------------
+# Question 2.15
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.15: Find your favourite model')
+
diff --git a/scripts/assignment_simulation_jan_2025_starter.py b/scripts/assignment_simulation_jan_2025_starter.py
new file mode 100644
index 0000000..9a1cfea
--- /dev/null
+++ b/scripts/assignment_simulation_jan_2025_starter.py
@@ -0,0 +1,93 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Simulation assignment 2024 - 2025
+
+STARTER FILE
+
+"""
+
+import os
+
+import matplotlib.pyplot as plt
+import numpy as np
+import numpy.linalg as la
+import pandas as pd
+import scipy.stats as stats
+import statsmodels.api as sm
+#import varplot as vpl
+
+#plt.style.use("finthabo")
+
+# this imports all functions from the helper file
+from helper import data_frame_to_latex_table_file, print_question
+
+#colors = vpl.color_list()
+
+# -----------------------------------------------------------------------------
+# -----------------------------------------------------------------------------
+# Start of Script for Simulation assignment Econometrics
+# -----------------------------------------------------------------------------
+# -----------------------------------------------------------------------------
+
+# -----------------------------------------------------------------------------
+# Set the folders for output of graphs and tables
+# -----------------------------------------------------------------------------
+
+# for the figures
+FIGURE_DIR = "../figures/"
+if not os.path.exists(FIGURE_DIR):
+    os.makedirs(FIGURE_DIR)
+# for the latex document
+REPORT_DIR = "../report/"
+if not os.path.exists(REPORT_DIR):
+    os.makedirs(REPORT_DIR)
+
+# -----------------------------------------------------------------------------
+# Here we set the seed for our group to your group number
+# -----------------------------------------------------------------------------
+
+
+# first birthday
+bd_1 = 3112
+# second birthday
+bd_2 = 3112
+
+group_seed = bd_1 * bd_2
+
+# set the seed
+np.random.seed(group_seed)
+
+# -----------------------------------------------------------------------------
+# set the random number generator and seed
+# -----------------------------------------------------------------------------
+
+# setting for output printing
+print_line_length = 90
+print_line_start = 5
+
+# the number of data sets that we will simulate
+num_obs = 2**10
+
+# set the seed and the random number generator for reproducible results
+# this ensures that every time you run this code you get exactly the same random numbers.
+# changing the seed would change the random numbers.
+rng = np.random.default_rng(group_seed)
+
+# the true value of the parameters.
+# Known in your role as creator, unknown to the modeller.
+beta = np.array([3.0, -4.0, 2.0])
+
+# standard deviation of the error terms
+u = rng.normal(0, 3, (num_obs,))
+
+x1 = rng.normal(3, 6, (num_obs,))
+x2 = rng.normal(2, 5, (num_obs,))
+
+# y = TODO
+
+# X = TODO
+
+# m = TODO
+# results = #TODO
+
diff --git a/scripts/empirical.py b/scripts/empirical.py
new file mode 100644
index 0000000..48aaca8
--- /dev/null
+++ b/scripts/empirical.py
@@ -0,0 +1,207 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Empirical assignment 2024 - 2025
+
+STARTER FILE
+"""
+
+import os
+import numpy as np
+import numpy.linalg as la
+import matplotlib.pyplot as plt
+import statsmodels.api as sm
+import scipy.stats as stats
+import pandas as pd
+
+from helper import print_question, data_frame_to_latex_table_file
+
+# -----------------------------------------------------------------------------
+# -----------------------------------------------------------------------------
+# Start of Script for Empirical assignment Econometrics
+# -----------------------------------------------------------------------------
+# -----------------------------------------------------------------------------
+
+# -----------------------------------------------------------------------------
+# Set the folders for output of graphs and tables
+# -----------------------------------------------------------------------------
+
+# for the figures
+data_dir = '../data/'
+if not os.path.exists(data_dir):
+    os.makedirs(data_dir)
+# for the figures
+figure_dir = '../figures/'
+if not os.path.exists(figure_dir):
+    os.makedirs(figure_dir)
+# for the latex document
+report_dir = '../report/'
+if not os.path.exists(report_dir):
+    os.makedirs(report_dir)
+
+# -----------------------------------------------------------------------------
+# Here we set the seed for our group to your group number
+# -----------------------------------------------------------------------------
+
+
+# first birthday
+bd_1 = 3112
+# second birthday
+bd_2 = 3112
+
+group_seed = bd_1 * bd_2
+
+# set the seed
+np.random.seed(group_seed)
+
+# -----------------------------------------------------------------------------
+# set the random number generator and seed
+# -----------------------------------------------------------------------------
+
+# set the seed and the random number generator for reproducible results
+rng = np.random.default_rng(group_seed)
+
+# setting for output printing
+print_line_length = 90
+print_line_start = 5
+
+# number of x points
+num_points = 60
+
+# -----------------------------------------------------------------------------
+# Load data 2.1
+# -----------------------------------------------------------------------------
+ 
+data_full = pd.read_stata(data_dir + 'assignment2025.dta')
+
+num_obs = int(0.75 * data_full.shape[0])
+# select 75% observations randomly ( the rng uses your seed )
+observations = rng.choice (len(data_full), num_obs , replace =False)
+# select the observationsfor your group
+data = data_full.iloc[observations , :].copy()
+
+#data = data_full
+
+# -----------------------------------------------------------------------------
+# Descriptive statistics 2.1
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.1: Descriptive Statistics')
+
+# compute the summary statistics
+# data_summary = TODO
+
+# print to screen
+# print(data_summary.T) [uncomment]
+
+# export the summary statistics to a file
+# data_frame_to_latex_table_file(report_dir + 'summmary_stats.tex',
+#                               data_summary.T) [uncomment]
+
+# -----------------------------------------------------------------------------
+# Question 2.2
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.2: Plot histogram wage / lwage')
+
+
+# -----------------------------------------------------------------------------
+# Question 2.3
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.3: Sample correlations')
+
+
+# -----------------------------------------------------------------------------
+# Question 2.4
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.4: Estimate lwage model')
+
+# explanatory variables for question 2.4
+# x_vars_24 = data[['smcity', 'AA']] # TODO
+
+# add a constant
+# X_24 = sm.add_constant(x_vars_24) [uncomment]
+
+# set-up model 
+# model_24 = sm.OLS(,) #TODO
+
+# estimate the model
+# results_24 = model_24. #TODO
+
+# print the OLS output
+# print(results_24.summary()) [uncomment]
+
+# export the coefficients part of the summary to a table
+# data_frame_to_latex_table_file(report_dir + 'results_24.tex',
+#                                results_24.summary2().tables[1])
+
+# -----------------------------------------------------------------------------
+# Question 2.5
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.5: Adding school')
+
+# -----------------------------------------------------------------------------
+# Question 2.6
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.6: Adding age')
+
+# -----------------------------------------------------------------------------
+# Question 2.7
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.7: Create the woman variable')
+
+# -----------------------------------------------------------------------------
+# Question 2.8
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.8: lwage model')
+
+# -----------------------------------------------------------------------------
+# Question 2.9
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.9: Test ethnicity')
+
+# -----------------------------------------------------------------------------
+# Question 2.10
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.10: Estimate models separately')
+
+# -----------------------------------------------------------------------------
+# Question 2.11
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.11: Predict lwage')
+
+# -----------------------------------------------------------------------------
+# Question 2.12
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.12: Estimate model with squared terms')
+
+# -----------------------------------------------------------------------------
+# Question 2.13
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.13: Squared terms')
+
+
+# -----------------------------------------------------------------------------
+# Question 2.14
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.14: Add interaction terms')
+
+
+# -----------------------------------------------------------------------------
+# Question 2.15
+# -----------------------------------------------------------------------------
+
+print_question('Question 2.15: Find your favourite model')
+
diff --git a/scripts/helper.py b/scripts/helper.py
new file mode 100644
index 0000000..0c2cbfe
--- /dev/null
+++ b/scripts/helper.py
@@ -0,0 +1,84 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Helper functions for assignment
+"""
+import os
+import numpy as np
+import pandas as pd
+
+# -----------------------------------------------------------------------------
+# ALL FUNCTIONS ARE ON TOP
+#
+# THE SCRIPT IS BELOW THE FUNCTIONS
+# -----------------------------------------------------------------------------
+
+# -----------------------------------------------------------------------------
+# Helper function to transform results summary into a dataFrame
+# -----------------------------------------------------------------------------
+
+def results_summary_to_dataframe(results, rounding=2):
+    '''take the result of an statsmodel results table
+    and transforms it into a dataframe'''
+
+    # get the values from results
+    # if you want, you can of course generalize this.
+    # e.g. if you don't have normal error terms
+    # you could change the pvalues and confidence bounds
+    # see exercise session 9?!
+    pvals = results.pvalues
+    tvals = results.tvalues
+    coeff = results.params
+    conf_lower = results.conf_int()[:, 0]
+    conf_higher = results.conf_int()[:, 1]
+
+    # create a pandas DataFrame from a dictionary
+    results_df = pd.DataFrame({"pvals": np.round(pvals, rounding),
+                               "tvals": np.round(tvals, rounding),
+                               "coeff": np.round(coeff, rounding),
+                               "conf_lower": np.round(conf_lower, rounding),
+                               "conf_higher": np.round(conf_higher, rounding)
+                               })
+    # This is just to show you how to re-order if needed
+    # Typically you should put them in the order you like straigh away
+    #Reordering...
+    results_df = results_df[["coeff", "tvals", "pvals", "conf_lower",
+                             "conf_higher"]]
+
+    return results_df
+
+# -----------------------------------------------------------------------------
+
+
+def data_frame_to_latex_table_file(file_name, df):
+    """takes a DataFrame and creates file_name.tex with LaTeX table data. """
+    print(df.columns)
+    # create and open file 
+    text_file = open(file_name, "w")
+    # data frame to LaTeX
+    df_latex = df.to_latex()
+    # Consider extensions (see later in class)
+    # write latex string to file
+    text_file.write(df_latex)
+    # close file
+    text_file.close()
+
+# -----------------------------------------------------------------------------
+
+
+def print_question(statement, print_line_start=5, print_line_length=90):
+    """
+    Print question description.
+
+    Args:
+        statement (string): Question description.
+        print_line_start (int): column where statement starts
+        print_line_length (int): total columns.
+
+    Returns:
+        None.
+
+    """
+    print(print_line_start * '#' + ' ' + statement + ' ' +
+          (print_line_length - len(statement) - print_line_start - 2) * '#')
+
diff --git a/scripts/non_linear_models_example_report.py b/scripts/non_linear_models_example_report.py
new file mode 100644
index 0000000..d96f51b
--- /dev/null
+++ b/scripts/non_linear_models_example_report.py
@@ -0,0 +1,198 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Examples of non-linear models
+"""
+
+import os
+
+import matplotlib.pyplot as plt
+import numpy as np
+import numpy.linalg as la
+import pandas as pd
+import scipy.stats as stats
+import statsmodels.api as sm
+
+# -----------------------------------------------------------------------------
+# ALL FUNCTIONS ARE ON TOP
+#
+# THE SCRIPT IS BELOW THE FUNCTIONS
+# -----------------------------------------------------------------------------
+
+# -----------------------------------------------------------------------------
+# Helper function to transform results summary into a dataFrame
+# -----------------------------------------------------------------------------
+
+
+def results_summary_to_dataframe(results, rounding=2):
+    """take the result of an statsmodel results table
+    and transforms it into a dataframe"""
+
+    # get the values from results
+    # if you want, you can of course generalize this.
+    # e.g. if you don't have normal error terms
+    # you could change the pvalues and confidence bounds
+    # see exercise session 9?!
+    pvals = results.pvalues
+    tvals = results.tvalues
+    coeff = results.params
+    conf_lower = results.conf_int()[:, 0]
+    conf_higher = results.conf_int()[:, 1]
+
+    # create a pandas DataFrame from a dictionary
+    results_df = pd.DataFrame(
+        {
+            "pvals": np.round(pvals, rounding),
+            "tvals": np.round(tvals, rounding),
+            "coeff": np.round(coeff, rounding),
+            "conf\_lower": np.round(conf_lower, rounding),
+            "conf\_higher": np.round(conf_higher, rounding),
+        }
+    )
+    # This is just to show you how to re-order if needed
+    # Typically you should put them in the order you like straigh away
+    # Reordering...
+    results_df = results_df[["coeff", "tvals", "pvals", "conf\_lower", "conf\_higher"]]
+
+    return results_df
+
+
+# -----------------------------------------------------------------------------
+
+
+def data_frame_to_latex_table_file(file_name, df):
+    """takes a DataFrame and creates file_name.tex with LaTeX table data."""
+    # create and open file
+    text_file = open(file_name, "w")
+    # data frame to LaTeX
+    df_latex = df.to_latex()
+    # Consider extensions (see later in class)
+    # write latex string to file
+    text_file.write(df_latex)
+    # close file
+    text_file.close()
+
+
+# -----------------------------------------------------------------------------
+# Set the folders for output of graphs and tables
+# -----------------------------------------------------------------------------
+
+# for the figures
+FIGURE_DIR = "../figures/"
+if not os.path.exists(FIGURE_DIR):
+    os.makedirs(FIGURE_DIR)
+# for the latex document
+REPORT_DIR = "../report/"
+if not os.path.exists(REPORT_DIR):
+    os.makedirs(REPORT_DIR)
+
+
+# -----------------------------------------------------------------------------
+# -----------------------------------------------------------------------------
+# Start of Script
+# -----------------------------------------------------------------------------
+# -----------------------------------------------------------------------------
+
+# -----------------------------------------------------------------------------
+# set the random number generator and seed
+# -----------------------------------------------------------------------------
+
+# set the seed and the random number generator for reproducible results
+seed = 425246524
+rng = np.random.default_rng(seed)
+
+# number of x points
+num_points = 60
+
+# -----------------------------------------------------------------------------
+# Quadratic
+# -----------------------------------------------------------------------------
+
+# the true parameters of the Data Generating process (DGP)
+beta = np.array([20, 0.5, -0.5])
+
+# values for x
+x = np.linspace(-20, 40, num_points)
+
+# error term
+sigma_eps = 59
+# generate random numbers
+eps = rng.normal(0, sigma_eps, (num_points,))
+
+# create y values for the DGP
+y = beta[0] + beta[1] * x + beta[2] * x**2 + eps
+
+# estimate the model
+results = sm.OLS(y, sm.add_constant(x)).fit()
+
+# generate a figure and save it to disk
+fig_num = 1
+fig = plt.figure(num=fig_num)
+ax = fig.add_subplot(111)
+ax.grid(ls=":")
+ax.plot(x, y, "o", color="tab:brown", label="$y$")
+ax.legend(loc="best")
+ax.set_title("Quadratic model")
+plt.savefig(FIGURE_DIR + "quadratic_model_y.png")
+plt.show()
+fig_num += 1
+
+
+fig = plt.figure(num=fig_num)
+ax = fig.add_subplot(111)
+ax.plot(x, results.fittedvalues, label=r"$\hat{y}$")
+ax.grid(ls=":")
+ax.plot(x, y, "o", color="tab:brown", label="$y$")
+ax.legend(loc="best")
+ax.set_title("Quadratic model")
+plt.savefig(FIGURE_DIR + "quadratic_model_linear.png")
+plt.show()
+fig_num += 1
+
+X = sm.add_constant(np.array([x, x**2]).T)
+
+results = sm.OLS(y, X).fit()
+
+fig = plt.figure(num=fig_num)
+ax = fig.add_subplot(111)
+ax.plot(x, results.fittedvalues, label=r"$\hat{y}$")
+ax.grid(ls=":")
+ax.plot(x, y, "o", color="tab:brown", label="$y$")
+ax.legend(loc="best")
+ax.set_title("Quadratic model")
+plt.savefig(FIGURE_DIR + "quadratic_model_quadratic.png")
+plt.show()
+fig_num += 1
+
+# print a summary
+print(results.summary())
+
+# The results can also be exported to LaTeX.
+# do either
+latex_summary = results.summary().as_latex()
+
+# alternatively for each group separately
+for table in results.summary().tables:
+    print(table.as_latex_tabular())
+
+###############################################################################
+# Generate LateX tables
+###############################################################################
+
+# write a string to a file
+with open(REPORT_DIR + "summary.tex", "w") as f:
+    f.write(latex_summary)
+
+# create a DataFrame for the results
+estimation_results_df = results_summary_to_dataframe(results)
+
+# give a name to the table
+table_data_file = REPORT_DIR + "df_table.tex"
+# create a latex file with the table information
+data_frame_to_latex_table_file(table_data_file, estimation_results_df)
+
+# an alternative to only send the coefficients part of the results
+# to a LaTeX table
+data_frame_to_latex_table_file(
+    REPORT_DIR + "results_coef.tex", results.summary2().tables[1]
+)
diff --git a/scripts/show_seed.py b/scripts/show_seed.py
deleted file mode 100644
index a711af5..0000000
--- a/scripts/show_seed.py
+++ /dev/null
@@ -1,3 +0,0 @@
-import util
-
-print(util.group_seed())
diff --git a/scripts/simulation.py b/scripts/simulation.py
new file mode 100644
index 0000000..b9c0e8d
--- /dev/null
+++ b/scripts/simulation.py
@@ -0,0 +1,188 @@
+#!/usr/bin/env python3
+# -*- coding: utf-8 -*-
+"""
+Simulation assignment 2024 - 2025
+
+STARTER FILE
+
+"""
+
+import os
+
+import matplotlib.pyplot as plt
+import numpy as np
+import numpy.linalg as la
+import pandas as pd
+import scipy.stats as stats
+import statsmodels.api as sm
+#import varplot as vpl
+
+#plt.style.use("finthabo")
+
+# this imports all functions from the helper file
+from helper import data_frame_to_latex_table_file, print_question
+
+#colors = vpl.color_list()
+
+# -----------------------------------------------------------------------------
+# -----------------------------------------------------------------------------
+# Start of Script for Simulation assignment Econometrics
+# -----------------------------------------------------------------------------
+# -----------------------------------------------------------------------------
+
+# -----------------------------------------------------------------------------
+# Set the folders for output of graphs and tables
+# -----------------------------------------------------------------------------
+
+# for the figures
+FIGURE_DIR = "../figures/"
+if not os.path.exists(FIGURE_DIR):
+    os.makedirs(FIGURE_DIR)
+# for the latex document
+REPORT_DIR = "../report/"
+if not os.path.exists(REPORT_DIR):
+    os.makedirs(REPORT_DIR)
+
+# -----------------------------------------------------------------------------
+# Here we set the seed for our group to your group number
+# -----------------------------------------------------------------------------
+
+# first birthday
+bd_1 = 303
+# second birthday
+bd_2 = 309
+
+group_seed = bd_1 * bd_2
+
+# set the seed
+np.random.seed(group_seed)
+
+# -----------------------------------------------------------------------------
+# set the random number generator and seed
+# -----------------------------------------------------------------------------
+
+# setting for output printing
+print_line_length = 90
+print_line_start = 5
+
+# -----------------------------------------------------------------------------
+# 1.1
+# -----------------------------------------------------------------------------
+
+# the number of data sets that we will simulate
+num_obs = 1000
+
+# set the seed and the random number generator for reproducible results
+# this ensures that every time you run this code you get exactly the same random numbers.
+# changing the seed would change the random numbers.
+rng = np.random.default_rng(group_seed)
+
+# the true value of the parameters.
+# Known in your role as creator, unknown to the modeller.
+beta = np.array([3.0, -4.0, 2.0])
+
+# standard deviation of the error terms
+u = rng.normal(0, 3, (num_obs,))
+
+x1 = rng.normal(3, 6, (num_obs,))
+x2 = rng.normal(2, 5, (num_obs,))
+
+# y 
+y = beta[0] + beta[1]*x1 + beta[2]*x2 + u
+
+# -----------------------------------------------------------------------------
+# 1.2
+# -----------------------------------------------------------------------------
+
+# X 
+X = np.array([np.ones(num_obs), x1, x2]).T
+
+# m
+m = sm.OLS(y, X)
+# results = 
+results = m.fit()
+d = {'True': beta, 
+     'Estimated': results.params, 
+     'Std Err': results.bse, 
+     't-Stat': results.tvalues}
+df = pd.DataFrame(data = d)
+data_frame_to_latex_table_file(REPORT_DIR + 'table_1_2.tex', df)
+
+# -----------------------------------------------------------------------------
+# 1.3
+# -----------------------------------------------------------------------------
+
+# X 
+X = np.array([np.ones(num_obs), x1]).T
+
+# m
+m = sm.OLS(y, X)
+# results = 
+results = m.fit()
+d = {'True': beta[0:2], 
+     'Estimated': results.params, 
+     'Std Err': results.bse, 
+     't-Stat': results.tvalues}
+df = pd.DataFrame(data = d)
+data_frame_to_latex_table_file(REPORT_DIR + 'table_1_3.tex', df)
+
+# -----------------------------------------------------------------------------
+# 1.4
+# -----------------------------------------------------------------------------
+
+x2_new = 0.5*x1 + rng.normal(5,4,(num_obs,))
+
+y_new = beta[0] + beta[1]*x1 + beta[2]*x2_new + u
+
+# X 
+X = np.array([np.ones(num_obs), x1, x2_new]).T
+
+# m
+m = sm.OLS(y_new, X)
+# results = 
+results = m.fit()
+d = {'True': beta, 
+     'Estimated': results.params, 
+     'Std Err': results.bse, 
+     't-Stat': results.tvalues}
+df = pd.DataFrame(data = d)
+data_frame_to_latex_table_file(REPORT_DIR + 'table_1_4.tex', df)
+
+# -----------------------------------------------------------------------------
+# 1.5
+# -----------------------------------------------------------------------------
+
+# X 
+X = np.array([np.ones(num_obs), x1]).T
+
+# m
+m = sm.OLS(y_new, X)
+# results = 
+results = m.fit()
+d = {'True': beta[0:2], 
+     'Estimated': results.params, 
+     'Std Err': results.bse, 
+     't-Stat': results.tvalues}
+df = pd.DataFrame(data = d)
+data_frame_to_latex_table_file(REPORT_DIR + 'table_1_5.tex', df)
+
+# -----------------------------------------------------------------------------
+# 1.6
+# -----------------------------------------------------------------------------
+
+x1 = rng.normal(3, 1, (num_obs,))
+y = beta[0] + beta[1]*x1 + beta[2]*x2 + u
+
+# X 
+X = np.array([np.ones(num_obs), x1, x2]).T
+
+# m
+m = sm.OLS(y, X)
+# results = 
+results = m.fit()
+d = {'True': beta, 
+     'Estimated': results.params, 
+     'Std Err': results.bse, 
+     't-Stat': results.tvalues}
+df = pd.DataFrame(data = d)
+data_frame_to_latex_table_file(REPORT_DIR + 'table_1_6.tex', df)
\ No newline at end of file
diff --git a/scripts/util/__init__.py b/scripts/util/__init__.py
deleted file mode 100644
index a68d4bc..0000000
--- a/scripts/util/__init__.py
+++ /dev/null
@@ -1,24 +0,0 @@
-import os
-import numpy as np
-
-
-def group_seed():
-    bd_env_var = os.getenv("BIRTHDAYS")
-
-    # If no birthdays are set, complain and exit
-    if not bd_env_var:
-        print("Environment variable BIRTHDAYS is missing")
-        exit(-1)
-
-    # convert birthdays to ints
-    birthdays = [int(bd) for bd in bd_env_var.split(",")]
-
-    # multiply them to get the group seed
-    seed = 1
-    for bd in birthdays:
-        seed *= bd
-
-    return seed
-
-
-rng = np.random.default_rng(group_seed())