Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks. Sales (1,000s of gallons) Week 1 2 3 4 5 6 7 8 9 10 11 12 18 22 19 24 18 17 21 19 23 20 15 23

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**Gasoline Sales Data Overview**

The table below illustrates the number of gallons of gasoline sold by a distributor in Bennington, Vermont, over a 12-week period. The sales are recorded in thousands of gallons.

| Week | Sales (1,000s of gallons) |
|------|---------------------------|
| 1    | 18                        |
| 2    | 22                        |
| 3    | 19                        |
| 4    | 24                        |
| 5    | 18                        |
| 6    | 17                        |
| 7    | 21                        |
| 8    | 19                        |
| 9    | 23                        |
| 10   | 20                        |
| 11   | 15                        |
| 12   | 23                        |

This data reflects weekly sales trends and can be used to analyze demand patterns, identify peak periods, and optimize inventory planning.
Transcribed Image Text:**Gasoline Sales Data Overview** The table below illustrates the number of gallons of gasoline sold by a distributor in Bennington, Vermont, over a 12-week period. The sales are recorded in thousands of gallons. | Week | Sales (1,000s of gallons) | |------|---------------------------| | 1 | 18 | | 2 | 22 | | 3 | 19 | | 4 | 24 | | 5 | 18 | | 6 | 17 | | 7 | 21 | | 8 | 19 | | 9 | 23 | | 10 | 20 | | 11 | 15 | | 12 | 23 | This data reflects weekly sales trends and can be used to analyze demand patterns, identify peak periods, and optimize inventory planning.
The image contains a table for a moving average forecast exercise, along with tasks for computing Mean Squared Error (MSE). The table includes columns for "Week," "Time Series Value," "Moving Average Forecast (4-week)," and "Moving Average Forecast (5-week)." The data is partially filled out as follows:

| Week | Time Series Value | Moving Average Forecast (4-week) | Moving Average Forecast (5-week) |
|------|--------------------|---------------------------------|-----------------------------------|
| 1    | 18                |                                 |                                   |
| 2    | 22                |                                 |                                   |
| 3    | 19                |                                 |                                   |
| 4    | 24                |                                 |                                   |
| 5    | 18                |                                 |                                   |
| 6    | 17                |                                 |                                   |
| 7    | 21                |                                 |                                   |
| 8    | 19                |                                 |                                   |
| 9    | 23                |                                 |                                   |
| 10   | 20                |                                 |                                   |
| 11   | 15                |                                 |                                   |
| 12   | 23                |                                 |                                   |

Below the table, there are tasks requiring the computation of the MSE for both the four-week and five-week moving average forecasts. It asks to round the answer to two decimal places.

Additional Tasks:
(b) Compute the MSE for the four-week moving average forecasts. (Round your answer to two decimal places.)
[Input Box]

Compute the MSE for the five-week moving average forecasts. (Round your answer to two decimal places.)
[Input Box]
Transcribed Image Text:The image contains a table for a moving average forecast exercise, along with tasks for computing Mean Squared Error (MSE). The table includes columns for "Week," "Time Series Value," "Moving Average Forecast (4-week)," and "Moving Average Forecast (5-week)." The data is partially filled out as follows: | Week | Time Series Value | Moving Average Forecast (4-week) | Moving Average Forecast (5-week) | |------|--------------------|---------------------------------|-----------------------------------| | 1 | 18 | | | | 2 | 22 | | | | 3 | 19 | | | | 4 | 24 | | | | 5 | 18 | | | | 6 | 17 | | | | 7 | 21 | | | | 8 | 19 | | | | 9 | 23 | | | | 10 | 20 | | | | 11 | 15 | | | | 12 | 23 | | | Below the table, there are tasks requiring the computation of the MSE for both the four-week and five-week moving average forecasts. It asks to round the answer to two decimal places. Additional Tasks: (b) Compute the MSE for the four-week moving average forecasts. (Round your answer to two decimal places.) [Input Box] Compute the MSE for the five-week moving average forecasts. (Round your answer to two decimal places.) [Input Box]
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