Topic: Time Series and Forecasting Case 2- Forecasting Sales of Gas Tanks Week Gas Tanks SaveWay is a small shop selling groceries as well as the cooking gas tanks which have to be re-stocked every week. As for the gas tanks, Ah Lee, the owner of the shop is unsure of how many tanks to be ordered in week 11. Table 2- The Past Data for the Sales of Gas (in Tanks) 1 3 4 5 6 7 8 9 10 2 180 130 160 110 170 140 150 130 180 140 You are asked by Mr Lee to help him forecast the number of gas tanks to be ordered in week 11. As you have studied forecasting using quantitative method, prepare the followings to explain how you prepare your forecast. (a) Define the Moving Averages and Exponential Smoothing methods (b) Explain the strengths and weaknesses of the Moving Averages and Exponential Smoothing methods (Note: provide examples to support your points) (c) Use data in Table 2 to prepare and answer the following questions: (i) Construct a time series plot. What type of pattern exists in the data? (ii) Develop a three-week moving average for this time series. Compute MSE and a forecast for week 11. (iii) Use a = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for week 11. (iv) Compare the three-week moving average forecast with the exponential smoothing forecast using a = 0.2. Which appears to provide the better forecast based on MSE? Explain. (v) Use trial and error to find a value of the exponential smoothing coefficient a that results in a smaller MSE than what you calculated for a = 0.2.

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Topic: Time Series and Forecasting
Case 2- Forecasting Sales of Gas Tanks
SaveWay is a small shop selling groceries as well as the cooking gas tanks which have to be
re-stocked every week. As for the gas tanks, Ah Lee, the owner of the shop is unsure of how
many tanks to be ordered in week 11.
Table 2- The Past Data for the Sales of Gas (in Tanks)
1
2
4
5
6
7
8
3
180 130 160 110 170 140 150 130
Week
Gas Tanks
9
10
180 140
You are asked by Mr Lee to help him forecast the number of gas tanks to be ordered in week
11. As you have studied forecasting using quantitative method, prepare the followings to
explain how you prepare your forecast.
(a) Define the Moving Averages and Exponential Smoothing methods
(b) Explain the strengths and weaknesses of the Moving Averages and Exponential Smoothing
methods (Note: provide examples to support your points)
(c) Use data in Table 2 to prepare and answer the following questions:
(i) Construct a time series plot. What type of pattern exists in the data?
(ii) Develop a three-week moving average for this time series. Compute MSE and a forecast
for week 11.
(iii) Use a = 0.2 to compute the exponential smoothing values for the time series. Compute
MSE and a forecast for week 11.
(iv) Compare the three-week moving average forecast with the exponential smoothing
forecast using a = 0.2. Which appears to provide the better forecast based on MSE?
Explain.
(v) Use trial and error to find a value of the exponential smoothing coefficient a that results
in a smaller MSE than what you calculated for a = 0.2.
Transcribed Image Text:Topic: Time Series and Forecasting Case 2- Forecasting Sales of Gas Tanks SaveWay is a small shop selling groceries as well as the cooking gas tanks which have to be re-stocked every week. As for the gas tanks, Ah Lee, the owner of the shop is unsure of how many tanks to be ordered in week 11. Table 2- The Past Data for the Sales of Gas (in Tanks) 1 2 4 5 6 7 8 3 180 130 160 110 170 140 150 130 Week Gas Tanks 9 10 180 140 You are asked by Mr Lee to help him forecast the number of gas tanks to be ordered in week 11. As you have studied forecasting using quantitative method, prepare the followings to explain how you prepare your forecast. (a) Define the Moving Averages and Exponential Smoothing methods (b) Explain the strengths and weaknesses of the Moving Averages and Exponential Smoothing methods (Note: provide examples to support your points) (c) Use data in Table 2 to prepare and answer the following questions: (i) Construct a time series plot. What type of pattern exists in the data? (ii) Develop a three-week moving average for this time series. Compute MSE and a forecast for week 11. (iii) Use a = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for week 11. (iv) Compare the three-week moving average forecast with the exponential smoothing forecast using a = 0.2. Which appears to provide the better forecast based on MSE? Explain. (v) Use trial and error to find a value of the exponential smoothing coefficient a that results in a smaller MSE than what you calculated for a = 0.2.
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