P$2.$ For the following data: x $0\mathrm{.}090\mathrm{.}320\mathrm{.}691\mathrm{.}512\mathrm{.}293\mathrm{.}063\mathrm{.}393\mathrm{.}63$ y $15\mathrm{.}157\mathrm{.}33\mathrm{.}77103\mathrm{.}3174\mathrm{.}6191\mathrm{.}5193\mathrm{.}2178\mathrm{.}7172\mathrm{.}3167\mathrm{.}5$ write a PYTHON program to fit the

model: y $=$ b$0$eb$1$xxb$2$ using least$-$squares regression. Calculate the coef f icient of determination to assess the quality of fit. Obtain a polynomial fit which has a similar coefficient of determination. What is the degree of polynomial for this fit $?$