The total number of thousands of tons of coal produced per year over a 10-year period for a certain region is provided in the accompanying dataset. Use double exponential smoothing to determine which pairs of values for a and ß minimize MAD for this dataset a = 0.1, B= 0.8, a= 0.5, B=0.3, a= 0 9, B= 07 Click the icon to view the coal production data First find the MAD for each pair of values, a and B. (Type integers or decimals rounded to two decimal places as needed)
The total number of thousands of tons of coal produced per year over a 10-year period for a certain region is provided in the accompanying dataset. Use double exponential smoothing to determine which pairs of values for a and ß minimize MAD for this dataset a = 0.1, B= 0.8, a= 0.5, B=0.3, a= 0 9, B= 07 Click the icon to view the coal production data First find the MAD for each pair of values, a and B. (Type integers or decimals rounded to two decimal places as needed)
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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Transcribed Image Text:The image contains an educational exercise related to data analysis using double exponential smoothing. Below is the transcription and description for an educational website.
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**Coal Production Data Analysis**
The total number of thousands of tons of coal produced per year over a 10-year period for a certain region is provided in the accompanying dataset. Use double exponential smoothing to determine which pairs of values for α (alpha) and β (beta) minimize MAD (Mean Absolute Deviation) for this dataset.
- Given pairs for α and β:
- α = 0.1, β = 0.8
- α = 0.5, β = 0.3
- α = 0.9, β = 0.7
**Instructions:**
Click the icon to view the coal production data.
First, find the MAD for each pair of values, α and β. (Type integers or decimals rounded to two decimal places as needed.)
| α | β | MAD |
|-----|-----|-----|
| 0.1 | 0.8 | |
| 0.5 | 0.3 | |
| 0.9 | 0.7 | |
---
This exercise aims to teach students how to apply double exponential smoothing to time series data and evaluate the effectiveness of different smoothing parameters using the Mean Absolute Deviation.
Transcribed Image Text:### Coal Production Data
**Date:** 10/27/2020
This table presents the coal production over a series of 10 years, measured in thousands of tons.
| Year | Coal Production (thousands of tons) |
|------|-------------------------------------|
| 1 | 434,328 |
| 2 | 420,427 |
| 3 | 439,044 |
| 4 | 477,192 |
| 5 | 504,181 |
| 6 | 526,951 |
| 7 | 546,827 |
| 8 | 564,889 |
| 9 | 569,075 |
| 10 | 570,975 |
Over the span of these years, coal production increased from 434,328 thousand tons in year 1 to 570,975 thousand tons in year 10, indicating a general upward trend.
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