Problem $2\mathrm{.}3*$ Consider reformulating linear regression as a generative model, so we have $x=g[y,]={}_0+{}_{1}y.$ What is the new loss function? Find an expression for the inverse function $y=g^{-1}[x,]$ that we would use to perform inference. Will this model make the same predictions as the discriminative version for a given training dataset $\{x_i,y_i\}?$ One way to establish this is to write code that fits a line to three data points using both methods and see if the result is the same.