Tslatex Rayanne Lenox 🎁 Certified

\begindocument \maketitle

% Text in math \textsubject to % inside \text{} TsLatex Rayanne Lenox

\subsectionPart (a) \beginalign y = \beta_0 + \beta_1 x + \varepsilon \endalign \begindocument \maketitle % Text in math \textsubject to

\beginalign \frac\partial \ell\partial \mu = \frac1\sigma^2\sum_i=1^n (y_i - \mu) \stackrelset= 0 \ \implies \hat\mu_MLE = \bary \endalign the log-likelihood is:

\subsectionPart (a): Derive the log-likelihood Given $y_i \sim \mathcalN(\mu, \sigma^2)$ i.i.d., the log-likelihood is: