Methods for Rational Decision Making Mathematical and Computational Modeling in Systems Engineering ENMA 656 – Coursework 5 Question 1: (1 point) Please, rewrite the following time series models using...

This homework is a subject in Mathematical and Computational Modeling in Systems Engineering

Methods for Rational Decision Making Mathematical and Computational Modeling in Systems Engineering ENMA 656 – Coursework 5 Question 1: (1 point) Please, rewrite the following time series models using the backshift B operator and the difference operator Δ in terms of the time series zt. a) b) c) where d) Question 2: (1 point) Use the Google Trends (https://trends.google.com) to search for a topic “Unemployment rate” and “Basketball”. Include the time series plot from 2004-present for both graphs separately. Please, describe the plots based on the characteristics discussed at the class. What do you think is the data stationary or non-stationary? Question 3: (3 points) Please, define and describe in your own words what is correlation and autocorrelation. What are the ways to measure autocorrelation between time series values (Hint: graphical depiction and statistical analysis). Please, bring some examples of correlated data. Create an ACF graph for some univariate time-series data you have found and describe what it means.