Prepare a time-series plot of the data, and visually inspect that plot to determine the characteristics you see in this series. Use an exponential smoothing model to develop a forecast of sales for the next 12 months, and explain why you selected that model. Plot the actual and forecast values. Determine the MAPE for your model during the historical period.

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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Prepare a time-series plot of the data, and visually inspect that plot to determine the characteristics you see in this series.

Use an exponential smoothing model to develop a forecast of sales for the next 12 months, and explain why you selected that model. Plot the actual and forecast values. Determine the MAPE for your model during the historical period.

Date
2-Jan
2-Feb
2-Mar
2-Apr
2-May
2-Jun
2-Jul
2-Aug
2-Sep
2-Oct
2-Nov
2-Dec
3-Jan
3-Feb
3-Mar
3-Apr
3-May
3-Jun
3-Jul
3-Aug
3-Sep
3-Oct
3-Nov
3-Dec
4-Jan
4-Feb
Sales
2,580
2,616
2,838
2,985
3,258
3,107
3,097
3,288
3,077
3,429
4,011
5,739
2,877
2,885
3,259
3,454
3,771
3,667
3,743
3,792
3,699
4,082
4,727
6,672
3,560
3,575
4-Mar
4-Apr
4-May
4-Jun
4-Jul
4-Aug
4-Sep
4-Oct
4-Nov
4-Dec
5-Jan
5-Feb
5-Mar
5-Apr
5-May
5-Jun
5-Jul
5-Aug
5-Sep
5-Oct
5-Nov
5-Dec
6-Jan
6-Feb
6-Mar
6-Apr
4,220
4,282
4,594
4,691
4,629
4,795
4,632
5,067
5,746
7,965
4,317
4,118
4,855
4,999
5,343
5,392
5,274
5,435
5,217
5,460
6,288
8,403
4,758
4,914
5,431
5,474
6-May
6-Jun
6-Jul
6-Aug
6-Sep
6-Oct
6-Nov
6-Dec
7-Jan
7-Feb
7-Mar
7-Apr
7-May
7-Jun
7-Jul
7-Aug
7-Sep
7-Oct
7-Nov
7-Dec
8-Jan
8-Feb
8-Mar
8-Apr
8-May
8-Jun
6,124
6,027
5,914
6,244
5,808
6,373
6,994
9,018
5,694
5,431
6,240
6,101
6,849
6,694
6,815
6,948
6,450
7,190
7,738
9,769
6,665
6,400
7,277
7,584
8,169
8,179
8-Jul
8-Aug
8-Sep
8-Oct
8-Nov
8-Dec
9-Jan
9-Feb
9-Mar
9-Apr
9-May
9-Jun
9-Jul
9-Aug
9-Sep
9-Oct
9-Nov
9-Dec
10-Jan
10-Feb
10-Mar
10-Apr
10-May
10-Jun
10-Jul
10-Aug
8,118
8,284
7,962
8,636
9,433
11,786
8,082
7,761
8,994
8,803
9,712
9,843
9,769
9,944
9,582
10,209
11,115
14,995
9,183
9,478
10,751
10,518
11,349
11,728
11,590
11,871
10-Sep
10-Oct
10-Nov
10-Dec
11-Jan
11-Feb
11-Mar
11-Apr
11-May
11-Jun
11-Jul
11-Aug
11-Sep
11-Oct
11-Nov
11-Dec
12-Jan
12-Feb
12-Mar
12-Apr
12-May
12-Jun
12-Jul
12-Aug
12-Sep
12-Oct
11,336
11,986
13,130
16,694
11,195
10,919
12,389
12,619
13,489
13,620
13,438
14,084
13,172
14,040
15,759
19,992
13,162
13,394
15,285
14,467
16,086
16,027
15,622
16,360
14,714
15,894
12-Nov
12-Dec
13-Jan
13-Feb
13-Mar
13-Apr
13-May
13-Jun
13-Jul
13-Aug
13-Sep
13-Oct
13-Nov
13-Dec
14-Jan
14-Feb
14-Mar
14-Apr
14-May
14-Jun
14-Jul
14-Aug
14-Sep
14-Oct
14-Nov
14-Dec
18,152
22,089
15,161
15,342
16,997
16,623
18,064
17,605
17,746
18,907
16,735
18,146
20,336
24,665
17,686
17,908
18,691
19,030
20,623
19,596
20,122
20,029
18,669
20,518
21,967
27,584
15-Jan
15-Feb
15-Mar
15-Apr
15-May
15-Jun
15-Jul
15-Aug
15-Sep
15-Oct
15-Nov
15-Dec
16-Jan
16-Feb
16-Mar
16-Apr
16-May
16-Jun
16-Jul
16-Aug
16-Sep
16-Oct
16-Nov
16-Dec
17-Jan
17-Feb
17-Mar
17-Apr
17-May
17-Jun
17-Jul
19,315
19,186
21,211
20,985
22,385
22,223
22,602
22,456
21,418
23,092
24,598
30,706
21,692
21,699
23,402
24,046
24,881
24,602
24,631
24,831
23,603
24,608
26,705
34,023
23,837
23,438
26,305
25,429
27,152
27,218
26,722
Transcribed Image Text:Date 2-Jan 2-Feb 2-Mar 2-Apr 2-May 2-Jun 2-Jul 2-Aug 2-Sep 2-Oct 2-Nov 2-Dec 3-Jan 3-Feb 3-Mar 3-Apr 3-May 3-Jun 3-Jul 3-Aug 3-Sep 3-Oct 3-Nov 3-Dec 4-Jan 4-Feb Sales 2,580 2,616 2,838 2,985 3,258 3,107 3,097 3,288 3,077 3,429 4,011 5,739 2,877 2,885 3,259 3,454 3,771 3,667 3,743 3,792 3,699 4,082 4,727 6,672 3,560 3,575 4-Mar 4-Apr 4-May 4-Jun 4-Jul 4-Aug 4-Sep 4-Oct 4-Nov 4-Dec 5-Jan 5-Feb 5-Mar 5-Apr 5-May 5-Jun 5-Jul 5-Aug 5-Sep 5-Oct 5-Nov 5-Dec 6-Jan 6-Feb 6-Mar 6-Apr 4,220 4,282 4,594 4,691 4,629 4,795 4,632 5,067 5,746 7,965 4,317 4,118 4,855 4,999 5,343 5,392 5,274 5,435 5,217 5,460 6,288 8,403 4,758 4,914 5,431 5,474 6-May 6-Jun 6-Jul 6-Aug 6-Sep 6-Oct 6-Nov 6-Dec 7-Jan 7-Feb 7-Mar 7-Apr 7-May 7-Jun 7-Jul 7-Aug 7-Sep 7-Oct 7-Nov 7-Dec 8-Jan 8-Feb 8-Mar 8-Apr 8-May 8-Jun 6,124 6,027 5,914 6,244 5,808 6,373 6,994 9,018 5,694 5,431 6,240 6,101 6,849 6,694 6,815 6,948 6,450 7,190 7,738 9,769 6,665 6,400 7,277 7,584 8,169 8,179 8-Jul 8-Aug 8-Sep 8-Oct 8-Nov 8-Dec 9-Jan 9-Feb 9-Mar 9-Apr 9-May 9-Jun 9-Jul 9-Aug 9-Sep 9-Oct 9-Nov 9-Dec 10-Jan 10-Feb 10-Mar 10-Apr 10-May 10-Jun 10-Jul 10-Aug 8,118 8,284 7,962 8,636 9,433 11,786 8,082 7,761 8,994 8,803 9,712 9,843 9,769 9,944 9,582 10,209 11,115 14,995 9,183 9,478 10,751 10,518 11,349 11,728 11,590 11,871 10-Sep 10-Oct 10-Nov 10-Dec 11-Jan 11-Feb 11-Mar 11-Apr 11-May 11-Jun 11-Jul 11-Aug 11-Sep 11-Oct 11-Nov 11-Dec 12-Jan 12-Feb 12-Mar 12-Apr 12-May 12-Jun 12-Jul 12-Aug 12-Sep 12-Oct 11,336 11,986 13,130 16,694 11,195 10,919 12,389 12,619 13,489 13,620 13,438 14,084 13,172 14,040 15,759 19,992 13,162 13,394 15,285 14,467 16,086 16,027 15,622 16,360 14,714 15,894 12-Nov 12-Dec 13-Jan 13-Feb 13-Mar 13-Apr 13-May 13-Jun 13-Jul 13-Aug 13-Sep 13-Oct 13-Nov 13-Dec 14-Jan 14-Feb 14-Mar 14-Apr 14-May 14-Jun 14-Jul 14-Aug 14-Sep 14-Oct 14-Nov 14-Dec 18,152 22,089 15,161 15,342 16,997 16,623 18,064 17,605 17,746 18,907 16,735 18,146 20,336 24,665 17,686 17,908 18,691 19,030 20,623 19,596 20,122 20,029 18,669 20,518 21,967 27,584 15-Jan 15-Feb 15-Mar 15-Apr 15-May 15-Jun 15-Jul 15-Aug 15-Sep 15-Oct 15-Nov 15-Dec 16-Jan 16-Feb 16-Mar 16-Apr 16-May 16-Jun 16-Jul 16-Aug 16-Sep 16-Oct 16-Nov 16-Dec 17-Jan 17-Feb 17-Mar 17-Apr 17-May 17-Jun 17-Jul 19,315 19,186 21,211 20,985 22,385 22,223 22,602 22,456 21,418 23,092 24,598 30,706 21,692 21,699 23,402 24,046 24,881 24,602 24,631 24,831 23,603 24,608 26,705 34,023 23,837 23,438 26,305 25,429 27,152 27,218 26,722
Expert Solution
Step 1: Write the given information

Given the data as

Date SalesDate SalesDate SalesDate Sales
2-Jan25806-May612410-Sep1133615-Jan19315
2-Feb26166-Jun602710-Oct1198615-Feb19186
2-Mar28386-Jul591410-Nov1313015-Mar21211
2-Apr29856-Aug624410-Dec1669415-Apr20985
2-May32586-Sep580811-Jan1119515-May22385
2-Jun31076-Oct637311-Feb1091915-Jun22223
2-Jul30976-Nov699411-Mar1238915-Jul22602
2-Aug32886-Dec901811-Apr1261915-Aug22456
2-Sep30777-Jan569411-May1348915-Sep21418
2-Oct34297-Feb543111-Jun1362015-Oct23092
2-Nov40117-Mar624011-Jul1343815-Nov24598
2-Dec57397-Apr610111-Aug1408415-Dec30706
3-Jan28777-May684911-Sep1317216-Jan21692
3-Feb28857-Jun669411-Oct1404016-Feb21699
3-Mar32597-Jul681511-Nov1575916-Mar23402
3-Apr34547-Aug694811-Dec1999216-Apr24046
3-May37717-Sep645012-Jan1316216-May24881
3-Jun36677-Oct719012-Feb1339416-Jun24602
3-Jul37437-Nov773812-Mar1528516-Jul24631
3-Aug37927-Dec976912-Apr1446716-Aug24831
3-Sep36998-Jan666512-May1608616-Sep23603
3-Oct40828-Feb640012-Jun1602716-Oct24608
3-Nov47278-Mar727712-Jul1562216-Nov26705
3-Dec66728-Apr758412-Aug1636016-Dec34023
4-Jan35608-May816912-Sep1471417-Jan23837
4-Feb35758-Jun817912-Oct1589417-Feb23438
4-Mar42208-Jul811812-Nov1815217-Mar26305
4-Apr42828-Aug828412-Dec2208917-Apr25429
4-May45948-Sep796213-Jan1516117-May27152
4-Jun46918-Oct863613-Feb1534217-Jun27218
4-Jul46298-Nov943313-Mar1699717-Jul26722
4-Aug47958-Dec1178613-Apr16623

4-Sep46329-Jan808213-May18064

4-Oct50679-Feb776113-Jun17605

4-Nov57469-Mar899413-Jul17746

4-Dec79659-Apr880313-Aug18907

5-Jan43179-May971213-Sep16735

5-Feb41189-Jun984313-Oct18146

5-Mar48559-Jul976913-Nov20336

5-Apr49999-Aug994413-Dec24665

5-May53439-Sep958214-Jan17686

5-Jun53929-Oct1020914-Feb17908

5-Jul52749-Nov1111514-Mar18691

5-Aug54359-Dec1499514-Apr19030

5-Sep521710-Jan918314-May20623

5-Oct546010-Feb947814-Jun19596

5-Nov628810-Mar1075114-Jul20122

5-Dec840310-Apr1051814-Aug20029

6-Jan475810-May1134914-Sep18669

6-Feb491410-Jun1172814-Oct20518

6-Mar543110-Jul1159014-Nov21967

6-Apr547410-Aug1187114-Dec27584

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