$(7)$ Bonus $($optional$).$ Our goal is to fit the original strain$-$stress data $($E$11-$S$11$ only$)$ using $S11=\frac{k_1}{k_2}$exp$(k_{2}E11).$ Linearize this model $($handwork required but no need to submit it$)$ and apply appropriate transformation. Find the coefficients $k_1$ and $k_2$ by using linear regression $($np$.$polyfit function should be used, other function will receive $0$ point$).$ Plot two graphs: $(1)$ transformed data X$,$ Y along with the fitted curve and $(2)$ original E$11$S$11$ data with the fitted curve. Print the resulting fitted equation in the same graph. $(8$ pts$)$