# 2 Chicken Chicken

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Chicken chicken chicken chicken (2.1):

$$$f\left(chicken\right) = \binom{n}{chicken} p^{chicken}\left(1-p\right)^{n-chicken} \tag{2.1}$$$

Chicken chicken chicken (2.1) chicken chicken chicken (2.2):

$$$\begin{split} \mathrm{Var}(\hat{\beta}) & =\mathrm{Var}((chicken'chicken)^{-1}chicken'y)\\ & =(chicken'chicken)^{-1}chicken'\mathrm{Var}(y)((chicken'chicken)^{-1}chicken')'\\ & =(chicken'chicken)^{-1}chicken'\mathrm{Var}(y)chicken(chicken'chicken)^{-1}\\ & =(chicken'chicken)^{-1}chicken'\sigma^{2}Ichicken(chicken'chicken)^{-1}\\ & =(chicken'chicken)^{-1}\sigma^{2} \end{split} \tag{2.2}$$$