The accompanying dataset provides data on the monthly usage of natural gas (in millions of cubic feet) for a certain region over two years. Implement the Holt-Winters multiplicative seasonality model with no trend to find the forecast for periods 13-26, where alphaαequals=0.50.5 and gammaγequals=0.80.8. Then find the MAD for periods 13-24. Month Period Gas Usage Jan 1 242 Feb 2 227 Mar 3 153 Apr 4 144 May 5 55 Jun 6 34 Jul 7 29 Aug 8 27 Sep 9 28 Oct 10 40 Nov 11 88 Dec 12 203 Jan 13 231 Feb 14 248 Mar 15 251 Apr 16 139 May 17 35 Jun 18 32 Jul 19 28 Aug 20 26 Sep 21 27 Oct 22 38 Nov 23 86 Dec 24 182 Use the Holt-Winters multiplicative seasonality model with no trend to find the forecast for periods 13-18, periods 19-24, and then for periods 25 and 26. (Type integers or decimals rounded to two decimal places as needed.) Period Forecast 13 14 15 16 17 18
The accompanying dataset provides data on the monthly usage of natural gas (in millions of cubic feet) for a certain region over two years. Implement the Holt-Winters multiplicative seasonality model with no trend to find the forecast for periods 13-26, where alphaαequals=0.50.5 and gammaγequals=0.80.8. Then find the MAD for periods 13-24. Month Period Gas Usage Jan 1 242 Feb 2 227 Mar 3 153 Apr 4 144 May 5 55 Jun 6 34 Jul 7 29 Aug 8 27 Sep 9 28 Oct 10 40 Nov 11 88 Dec 12 203 Jan 13 231 Feb 14 248 Mar 15 251 Apr 16 139 May 17 35 Jun 18 32 Jul 19 28 Aug 20 26 Sep 21 27 Oct 22 38 Nov 23 86 Dec 24 182 Use the Holt-Winters multiplicative seasonality model with no trend to find the forecast for periods 13-18, periods 19-24, and then for periods 25 and 26. (Type integers or decimals rounded to two decimal places as needed.) Period Forecast 13 14 15 16 17 18
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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The accompanying dataset provides data on the monthly usage of natural gas (in millions of cubic feet) for a certain region over two years. Implement the Holt-Winters multiplicative seasonality model with no trend to find the forecast for periods 13-26, where alphaαequals=0.50.5 and gammaγequals=0.80.8. Then find the MAD for periods 13-24.
Month | Period | Gas Usage |
Jan | 1 | 242 |
Feb | 2 | 227 |
Mar | 3 | 153 |
Apr | 4 | 144 |
May | 5 | 55 |
Jun | 6 | 34 |
Jul | 7 | 29 |
Aug | 8 | 27 |
Sep | 9 | 28 |
Oct | 10 | 40 |
Nov | 11 | 88 |
Dec | 12 | 203 |
Jan | 13 | 231 |
Feb | 14 | 248 |
Mar | 15 | 251 |
Apr | 16 | 139 |
May | 17 | 35 |
Jun | 18 | 32 |
Jul | 19 | 28 |
Aug | 20 | 26 |
Sep | 21 | 27 |
Oct | 22 | 38 |
Nov | 23 | 86 |
Dec | 24 | 182 |
Use the Holt-Winters multiplicative seasonality model with no trend to find the forecast for periods 13-18, periods 19-24, and then for periods 25 and 26.
(Type integers or decimals rounded to two decimal places as needed.)
Period
|
Forecast
|
---|---|
13
|
|
14
|
|
15
|
|
16
|
|
17
|
|
18
|
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