Machine Learning Problem

Perform the optimization problem of finding the minimum of J(x) = (2x-3)² by:

(i) defining theta, J(theta), h(theta) as defined in the Stanford Machine Learning videos in Coursera;

(ii) plotting J(theta) vs theta.

(iii) determining its minimum using gradient descent approach starting from a random initial value of theta = 5. Perform the search for the minimum using the gradient descent approach by hand calculations, i.e., step 1, step 2, etc. showing your work completely.