Question 6: Simulate a data set with 150 observations y; = 40+ 6x + 2x² + 3x³ +€, where€; follows independent normal distribution N(0, 1).a) Perform polynomial regression on your simulated data set and using x, I(x²), 1(x³) as thepredictors. Compare the estimated coefficients with the true model and report the R-square.b) Formulate the design matrix of this regression and write down the first two rows of thedesign matrix based on your data set.c) Perform polynomial regression on your simulated data set and using z, I(x²), 1 (x³), 1 (x¹)as the predictors. Compare the estimated coefficients with the true model.

Answered: Question 6: Simulate a data set with…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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