Figure 7(a) shows the correlogram of a stationary time series; Figure 7(b) shows the partial correlogram. Autocorrelation 1.0 0.5- 0.0 -0.5- -1.0 277 (a) Figure 7(a) & (b) ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Lag Partial autocorrelation 1.0 0.5- 0.0- -0.5- -1.0- 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Lag (b) (a) Use the correlogram and partial correlogram to identify two plausible ARMA models for this time series. Explain carefully the reasons for your choices. (b) Use the principle of parsimony to identify which, if either, candidate model is 'better' from the pair you selected in part (a).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section4.3: Fitting Linear Models To Data
Problem 24SE: Table 6 shows the year and the number ofpeople unemployed in a particular city for several years....
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Figure 7(a) shows the correlogram of a stationary time series; Figure 7(b) shows the partial
correlogram.
Autocorrelation
1.0
(a)
0.5-
0.0
-0.5-
-1.0-
(a)
Figure 7(a) & (b)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Lag
Partial autocorrelation
1.0
0.5-
0.0
-0.5-
-1.0-
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Lag
(b)
Use the correlogram and partial correlogram to identify two plausible ARMA
models for this time series. Explain carefully the reasons for your choices.
(b)
Use the principle of parsimony to identify which, if either, candidate model is
'better' from the pair you selected in part (a).
Transcribed Image Text:Figure 7(a) shows the correlogram of a stationary time series; Figure 7(b) shows the partial correlogram. Autocorrelation 1.0 (a) 0.5- 0.0 -0.5- -1.0- (a) Figure 7(a) & (b) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Lag Partial autocorrelation 1.0 0.5- 0.0 -0.5- -1.0- 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Lag (b) Use the correlogram and partial correlogram to identify two plausible ARMA models for this time series. Explain carefully the reasons for your choices. (b) Use the principle of parsimony to identify which, if either, candidate model is 'better' from the pair you selected in part (a).
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