% Matrices \beginpmatrix a & b \ c & d \endpmatrix
\ProvidesPackagerayanne_macros \RequirePackagetslatex \newcommand\indep\perp!!!\perp \newcommand\E\mathbbE \renewcommand\P\mathbbP \DeclareMathOperator\VarVar \DeclareMathOperator\CovCov TsLatex Rayanne Lenox
% Cases f(x) = \begincases 0 & x<0 \ 1 & x\ge 0 \endcases Create rayanne_macros.sty : % Matrices \beginpmatrix a & b \ c
\subsectionPart (a) \beginalign y = \beta_0 + \beta_1 x + \varepsilon \endalign TsLatex Rayanne Lenox
\subsectionPart (b): First-order conditions Taking the derivative w.r.t. $\mu$:
\beginalign \frac\partial \ell\partial \mu = \frac1\sigma^2\sum_i=1^n (y_i - \mu) \stackrelset= 0 \ \implies \hat\mu_MLE = \bary \endalign
\usepackagerayanne_macros