The following data shows the number of customers at a mall in Colorado. Year customers (in thousands) 2009 22,142 2010 23,983 2011 24,122 2012 25,708 2013 26,722 2014 26,955 2015 28,438 2016 29,786 2017 29,502

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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The following data shows the number of customers at a mall in Colorado.

Year

customers (in thousands)

2009

22,142

2010

23,983

2011

24,122

2012

25,708

2013

26,722

2014

26,955

2015

28,438

2016

29,786

2017

29,502

The mall security would like to predict the number of customers in the future. (***MUST USE EXCEL***)

  1. Use 2014-2017 as a hold out sample. Calculate the initial Level and Trend using all the data from 2009-2013. Utilize these as the starting point for updating based on seeing 2009 and carry it forward.
  2. Use Holt’s method (alpha=0.1,0.25; beta=0.1,0.25, total of four combinations) to forecast the demand for the hold out sample.
  3. Calculate the RMSE (square root of MSE), MAD, and TS for each forecast. Please round to the nearest 0.1.

The RMSE for alpha = 0.1 and beta = 0.1 is _____.

The MAD for alpha = 0.1 and beta = 0.25 is _____.

The TS for alpha = 0.25 and beta = 0.25 in Year 2017 is _____. 

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