Describe each graph if it has trend, cycle or seasonality and why? Describe each

Question

Describe each graph if it has trend, cycle or seasonality and why? Describe each graph if it has trend, cycle or seasonality and why? Describe each graph if it has trend, cycle or seasonality and why? Describe each graph if it has trend, cycle or seasonality and why? Paragraph Original Data De tre nded Data Index Seasonally Adjusted Data Seas. Adj and Detr. Data Index Time Series Decomposition Plot for Federal Debt Multiplicative Model Variable 30- Actual Fits Trend A-Forecasts 20 Accur ay Mesures MAPE 103 829 u 10 MAD 7023 MSD 80411 d -10 20

Explanation / Answer

From above graphs,

(i) Graph 1 (Original Data) indicated that the series have no any trend, seasonality and cyclical variation. This series is itself a stationary. There is no any need to take any transformation on this series.

(ii) Graph 2 (Detrended Data) is similar to Graph 1, becasuse series have no any trend. So we can't remove any trend from original series.

(iii) Also Graph 3 (Seasonaly Adjusted) and Graph 4 (Seasonaly adjusted and Detrended Data) is similar to graph 1. This is also because given series have no any seasonality and cyclical variation.

(iv) Graph 5 (Time Series Decomposition plot for Federal Debt Multiplicative model): Given Series is a stationary series means it has no any trend, seasonality and cyclical variation. It has only random variation. So we can't use multiplicative model for forecasting purpose.

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