Methods for Rational Decision MakingMathematical and Computational Modeling in Systems...

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Methods for Rational Decision MakingMathematical and Computational Modeling in Systems EngineeringENMA 656 – Coursework 5Question 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) )  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 coelation and autocoelation. What are the ways to measure autocoelation between time series values (Hint: graphical depiction and statistical analysis). Please, ing some examples of coelated data.Create an ACF graph for some univariate time-series data you have found and describe what it means.

Monica · Accepted Answer

Mathematical and Computational Modeling in Systems Engineering
ENMA 656 – Coursework 5
Solution 1:
a) 
b) 
 = 1
 = 1
c) 
d) 
Solution 2:
Description 
The above plots clearly show that the mean, variance and covariance are not constant over time. The Stationary series is one in which the properties – mean, variance and covariance, do not vary with time. The above data is non - stationary series. 
Solution 3: 
Correlation: The measure of dependence between two quantities/data points say (x, y) i.e.

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...

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