$3$ Given a dataset with one feature x$=[1,2,3,4]$ and target Y$=[2,3,5,7],$ you are training a

linear regression model y$=\backslash$beta $\_(0)+\backslash$beta $\_(1)$x$.$

Initialize $\backslash$beta $\_(0)=0$ and $\backslash$beta $\_(1)=0.$ Using a learning rate of $0\mathrm{.}1,$ compute the first two steps of

gradient descent manually.

Write the cost function after each step.