After its move in 1990 to La Junta, Colorado, and its new initiatives, the DeBourgh Manufacturing Company began an upward climb of record sales. Suppose the figures shown here are the DeBourgh monthly sales figures from January 2001 through December 2009 (in $1,000s). a) Produce a time series plot. Are there any trends evident in the data? Does DeBourgh have a seasonal component to its sales? b) Deseasonalize the data using Multiplicative model with a 0.5 weighted moving average. Produce a time series plot of the deseasonalized data and add a trendline. c) Forecast the sales from January to December of the year 2010. d) Include a discussion of the general direction of sales and any seasonal tendencies that might be occurrinG Month 2001 2002 2003 2004 2005 2006 2007 2008 2009 January 139.7 165.1 177.8 228.6 266.7 431.8 381 431.8 495.3 February 114.3 177.8 203.2 254 317.5 457.2 406.4 444.5 533.4 March 101.6 177.8 228.6 266.7 368.3 457.2 431.8 495.3 635 April 152.4 203.2 279.4 342.9 431.8 482.6 457.2 533.4 673.1 May 215.9 241.3 317.5 355.6 457.2 533.4 495.3 558.8 749.3 June 228.6 279.4 330.2 406.4 571.5 622.3 584.2 647.7 812.8 July 215.9 292.1 368.3 444.5 546.1 660.4 609.6 673.1 800.1 August 190.5 317.5 355.6 431.8 482.6 520.7 558.8 660.4 736.6 September 177.8 203.2 241.3 330.2 431.8 508 508 609.6 685.8 October 139.7 177.8 215.9 330.2 406.4 482.6 495.3 584.2 635 November 139.7 165.1 215.9 304.8 393.7 457.2 444.5 520.7 622.3 December 152.4 177.8 203.2 292.1 406.4 431.8 419.1 482.6 622.3

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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Question

After its move in 1990 to La Junta, Colorado, and its new initiatives, the DeBourgh Manufacturing Company began an upward climb of record sales. Suppose the figures shown here are the DeBourgh monthly sales figures from January 2001 through December 2009 (in $1,000s).

a) Produce a time series plot. Are there any trends evident in the data? Does DeBourgh have a seasonal component to its sales?
b) Deseasonalize the data using Multiplicative model with a 0.5 weighted moving average. Produce a time series plot of the deseasonalized data and add a trendline.
c) Forecast the sales from January to December of the year 2010.
d) Include a discussion of the general direction of sales and any seasonal tendencies that might be occurrinG

Month	2001	2002	2003	2004	2005	2006	2007	2008	2009
January	139.7	165.1	177.8	228.6	266.7	431.8	381	431.8	495.3
February	114.3	177.8	203.2	254	317.5	457.2	406.4	444.5	533.4
March	101.6	177.8	228.6	266.7	368.3	457.2	431.8	495.3	635
April	152.4	203.2	279.4	342.9	431.8	482.6	457.2	533.4	673.1
May	215.9	241.3	317.5	355.6	457.2	533.4	495.3	558.8	749.3
June	228.6	279.4	330.2	406.4	571.5	622.3	584.2	647.7	812.8
July	215.9	292.1	368.3	444.5	546.1	660.4	609.6	673.1	800.1
August	190.5	317.5	355.6	431.8	482.6	520.7	558.8	660.4	736.6
September	177.8	203.2	241.3	330.2	431.8	508	508	609.6	685.8
October	139.7	177.8	215.9	330.2	406.4	482.6	495.3	584.2	635
November	139.7	165.1	215.9	304.8	393.7	457.2	444.5	520.7	622.3
December	152.4	177.8	203.2	292.1	406.4	431.8	419.1	482.6	622.3