Question: Consider a linear regression model y) = waW + 6) , Where instead of assuming the noise a) w N (0, 02) we assume 6)

$Consider a linear regression model y\") = waW + 6\"\") ,$

Consider a linear regression model y\") = waW + 6\"\") , Where instead of assuming the noise a\") w N (0, 02) we assume 6\") ~ Laplacem, 5) = % exp (4%0 :- Show that the maximum likelihood estimate w is the one that minimizes N (i) _ T (4?) Zi=1|y W x l- . Informally discuss why this model will be more robust to noise as compared to the model Where we assume the noise 6\") N N (0, 02)

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