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Year Month Sales (in millions) 2017 1 30.2 2017 2 29.8 2017 3 30.8 2017 4 31.5 2017 5 31.9 2017 6 32.6 2017 7

Year Month Sales (in millions)
2017 1 30.2
2017 2 29.8
2017 3 30.8
2017 4 31.5
2017 5 31.9
2017 6 32.6
2017 7 33.8
2017 8 35.9
2017 9 33.2
2017 10 31.5
2017 11 30.9
2017 12 38.8
2018 1 31.1
2018 2 30.5
2018 3 31.5
2018 4 32.5
2018 5 32.7
2018 6 33.2
2018 7 34.5
2018 8 36.5
2018 9 34
2018 10 32.2
2018 11 31.9
2018 12 39.7
2019 1 31.6
2019 2 31.5
2019 3 32.2
2019 4 33.4
2019 5 33.3
2019 6 33.8
2019 7 35.4
2019 8 37.4
2019 9 34.7
2019 10 32.9
2019 11 32.8
2019 12 40.5
2020 1 32.1
2020 2 32.5
2020 3 33
2020 4 34.1
2020 5 33.9
2020 6 34.7
2020 7 36.2
2020 8 38.2
2020 9 35.7
2020 10 33.4
2020 11 33.5
2020 12 41.3

%) Given in the columns A to C are the demands for cell phones from 2017-2020. You are now at the beginning of 2020 and trying to build a forecast model to predict the demand of 2020. Use the records of 2017-2019 to build your model and then estimate the data of 2020 based on the model you have developed.

(a) Before you proceed, graph the past 3 years (2017-2019) data and analyze the visual output.

(b) Set up a 4-period moving average forecast to predict the demands for years 2017-2020. What is the MAD for the forecasts of year 2020?

(c) Set up a 4-period moving average forecast with seasonality (monthly) for years 2017-2020. What is the MAD for the forecasts of the years 2020?

(d) Set up (a) exponential smoothing model (initial forecast = 30 and alpha = 0.5) to predict the demands for year 2017-2020. What is the MAD for the forecasts of year 2020?

(e) Following (d), using what-if analysis, what will be the best value of alpha (one decimal point) so that the MAD for the forecast of year 2020 will be minimized?

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