(a) Obtain a prediction for the time series for the year 2023, and provide an approximate 95% prediction interval. (b) Describe in your own words an interpretation of the prediction interval obtained in part i).

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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1,

1. Consider the following time series of annual sales (in £1000) for a company.
2016 2017
2018
2019
2020
104.8
109.6
116.2 124.1
114.4
An ARIMA(1,0,1) model is assumed with fitted parameters
1 = 0.8 , ô, = 0.5, âu = 109.1 , ô = 1.
0.5, и
109.1 , ô? = 1,
%D
(a) Obtain a prediction for the time series for the year 2023, and provide an
approximate 95% prediction interval.
(b) Describe in your own words an interpretation of the prediction interval obtained
in part i).
Transcribed Image Text:1. Consider the following time series of annual sales (in £1000) for a company. 2016 2017 2018 2019 2020 104.8 109.6 116.2 124.1 114.4 An ARIMA(1,0,1) model is assumed with fitted parameters 1 = 0.8 , ô, = 0.5, âu = 109.1 , ô = 1. 0.5, и 109.1 , ô? = 1, %D (a) Obtain a prediction for the time series for the year 2023, and provide an approximate 95% prediction interval. (b) Describe in your own words an interpretation of the prediction interval obtained in part i).
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