write a python program for the following

4. Linear Regression with pseudo inverse. In this problem you will simulate data that lie nearly on a line and then use the simulated data to recover the slop and and intercept of the regression line y = 0 + 1 z. (a) Simulate 100 samples from noisy data that lie nearly on the line y = 1.01 + 2.1. Set (b) Set up the problem of recovering the regression coefficients and A as the solution of (c) Use the matrix pseudo inverse to solve the linear system and recover the parameters 0 d) plot the regression line as well as the simulated noisy data the mean and the standard deviation of the Gaussian noise to 0 and 0.4 respectively. an over determined system of linear equations. and Bi 4. Linear Regression with pseudo inverse. In this problem you will simulate data that lie nearly on a line and then use the simulated data to recover the slop and and intercept of the regression line y = 0 + 1 z. (a) Simulate 100 samples from noisy data that lie nearly on the line y = 1.01 + 2.1. Set (b) Set up the problem of recovering the regression coefficients and A as the solution of (c) Use the matrix pseudo inverse to solve the linear system and recover the parameters 0 d) plot the regression line as well as the simulated noisy data the mean and the standard deviation of the Gaussian noise to 0 and 0.4 respectively. an over determined system of linear equations. and Bi