Question 7 The following plots have been obtained for a time series. a) Suggest an appropriate ARIMA model based on the below plots. 120- 90- 60- 30- act 1980 Jan 0.2- 0.1% 0.0 -0.14 1990 Jan lag (1M) 2000 Jan Month pact 0.2- 17.4 0.1- 0.0 -0.1 2010 Jan m lag (1M) .model sigma2 log_lik AIC AICe BIC ar roots ## ## 1 arima 011 ## 2 arima110 ## 3 auto b) The following ARIMA output has been obtained from R. Based on this output, explain which model would you recommend for forecasting? 2020 Jan ma_roots 17.1 -1393. 2787. 2787. 2806. 17.1 -1399. 2780. 2780. 2815. -1392. 2788. 2788. 2807. c) If your selected model in part b) above has a p-value of 0.900 in the Ljung-Box test, would you recommend using this model? Explain why or why not.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section4.3: Fitting Linear Models To Data
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Question 7
The following plots have been obtained for a time series.
a) Suggest an appropriate ARIMA model based on the below plots.
120-
90-
60-
30-
acf
##
1980 Jan
0.2-
0.1-
0.0
-0.1-
1990 Jan
lag [1M]
## 1 arima011
## 2 arima110
## 3 auto
2000 Jan
Month
pact
0.2-
0.1-
0.0
-0.1-
2010 Jan
lag [1M]
.model sigma2 log_lik AIC AICC BIC ar roots
<dbl> <db1> <db1> <dbl> <dbl> <list>
<chr>
b) The following ARIMA output has been obtained from R. Based on this output,
explain which model would you recommend for forecasting?
2020 Jan
poat
ma_roots
<list>
<cpl [5]>
17.1 -1393. 2787. 2787. 2806. <cpl [0]>
17.1 -1399. 2780. 2780,
2815, <cp1 [5]> <cpl [0]>
17.4 -1392. 2788. 2788. 2807. <cpl [27]> <cpl [1]>
c) If your selected model in part b) above has a p-value of 0.900 in the Ljung-Box
test, would you recommend using this model? Explain why or why not.
Transcribed Image Text:Question 7 The following plots have been obtained for a time series. a) Suggest an appropriate ARIMA model based on the below plots. 120- 90- 60- 30- acf ## 1980 Jan 0.2- 0.1- 0.0 -0.1- 1990 Jan lag [1M] ## 1 arima011 ## 2 arima110 ## 3 auto 2000 Jan Month pact 0.2- 0.1- 0.0 -0.1- 2010 Jan lag [1M] .model sigma2 log_lik AIC AICC BIC ar roots <dbl> <db1> <db1> <dbl> <dbl> <list> <chr> b) The following ARIMA output has been obtained from R. Based on this output, explain which model would you recommend for forecasting? 2020 Jan poat ma_roots <list> <cpl [5]> 17.1 -1393. 2787. 2787. 2806. <cpl [0]> 17.1 -1399. 2780. 2780, 2815, <cp1 [5]> <cpl [0]> 17.4 -1392. 2788. 2788. 2807. <cpl [27]> <cpl [1]> c) If your selected model in part b) above has a p-value of 0.900 in the Ljung-Box test, would you recommend using this model? Explain why or why not.
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