The sales records of a major auto manufacturer over the past years from 2005  to 2019 are shown below.     Number of Cars Sold Year (In thousands of Units) 2005   195       2006   200       2007   250       2008   270       2009   320       2010   380       2011   440       2012   460       2013   500       2014   500       2015   550       2016   570       2017   600       2018   650       2019   700         Develop moving average with k=4 and compute its MSE Develop exponential model with α = 0.4 and compute its MSE Develop a linear trend model and compute its MSE Based on the MSE computed fore ach model , which model fits well to the data Based on the answer of question (4) forecast the number of cars sold for year 2020.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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   The sales records of a major auto manufacturer over the past years from 2005  to 2019 are shown below.

 

 

Number of Cars Sold

Year

(In thousands of Units)

2005

 

195

     

2006

 

200

     

2007

 

250

     

2008

 

270

     

2009

 

320

     

2010

 

380

     

2011

 

440

     

2012

 

460

     

2013

 

500

     

2014

 

500

     

2015

 

550

     

2016

 

570

     

2017

 

600

     

2018

 

650

     

2019

 

700

     

 

  • Develop moving average with k=4 and compute its MSE
  • Develop exponential model with α = 0.4 and compute its MSE
  • Develop a linear trend model and compute its MSE
  • Based on the MSE computed fore ach model , which model fits well to the data
  • Based on the answer of question (4) forecast the number of cars sold for year 2020.
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