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1960 1965 time 1970 1975 1980 -0.2 remainder trend -0.5 0.5 1.5 2.5 0.0 0.1 0.2 seasonal -0.15 -0.05 0.05 data 0 1 2

1960 1965 time 1970 1975 1980 -0.2 remainder trend -0.5 0.5 1.5 2.5 0.0 0.1 0.2 seasonal -0.15 -0.05 0.05 data 0 1 2

MATLAB: An Introduction with Applications
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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  1. Explain each part of the following time series decomposition

 

The image presents a time series decomposition graph illustrating data from 1960 to 1980. The graph is divided into four panels: 1. **Data Panel**: - The topmost panel displays the original time series data over the specified period. - The data exhibits an overall upward trend with noticeable fluctuations. 2. **Seasonal Panel**: - The second panel from the top represents the seasonal component of the data. - It shows a repeating pattern that reflects the predictable seasonal variation within each year. 3. **Trend Panel**: - The third panel illustrates the trend component of the time series. - It highlights a steady increase over time, showing the broader upward movement in the data. 4. **Remainder Panel**: - The bottom panel depicts the remainder or residual component. - This section captures the random noise or irregular fluctuations not explained by the seasonal or trend components. Each component provides insights into different aspects of the time series, allowing for a deeper understanding of the underlying patterns and variations in the data.
Transcribed Image Text:The image presents a time series decomposition graph illustrating data from 1960 to 1980. The graph is divided into four panels: 1. **Data Panel**: - The topmost panel displays the original time series data over the specified period. - The data exhibits an overall upward trend with noticeable fluctuations. 2. **Seasonal Panel**: - The second panel from the top represents the seasonal component of the data. - It shows a repeating pattern that reflects the predictable seasonal variation within each year. 3. **Trend Panel**: - The third panel illustrates the trend component of the time series. - It highlights a steady increase over time, showing the broader upward movement in the data. 4. **Remainder Panel**: - The bottom panel depicts the remainder or residual component. - This section captures the random noise or irregular fluctuations not explained by the seasonal or trend components. Each component provides insights into different aspects of the time series, allowing for a deeper understanding of the underlying patterns and variations in the data.
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