$($h$)$ Implement both gradient descent and the coordinate scheme in code $($from scratch$)$ and apply it to the provided data. In your implementation: $$ Use$\backslash$lambda $=0\mathrm{.}001$forthecoordinatescheme,andstep$-$size$\backslash$alpha $=1$foryourgradientdescentscheme. $$ Initialize both algorithms with $\backslash$beta $=1$p$,$ the p$-$dimensional vector of ones. $$ For the coordinate scheme, be sure to update the $\backslash$beta j $$s in order $($i$.$e$.1,2,3,...)$