Linear Regression

Inputs: The training data contain some example measurements of the profit gained by opening an outlet in the cities with the population ranging between 30,000 and 100,000. The y-values are the profit measured in USD, and the x-values are the populations of the city. Each city population and profit tuple constitutes one training example in training dataset.

Problem: Use training dataset to develop a linear regression model and solve it by using gradient descent algorithm. Find the values of Theta0, Theta1 , and cost function J in the first two iterations.Show all calculation steps

Initialization: Theta0=0, Theta1=0. Alpha=0.01

City Population (10^4)x	Profit (10^4) y
6.4862	6.5987
5.5277	9.1302
8.5186	13.662
7.0032	11.854