### Gasoline Sales Data AnalysisThe following table represents the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over a 12-week period. The sales are measured in thousands of gallons.| Week | Sales (1,000s of gallons) ||------|---------------------------|| 1 | 18 || 2 | 22 || 3 | 20 || 4 | 24 || 5 | 18 || 6 | 16 || 7 | 20 || 8 | 19 || 9 | 22 || 10 | 20 || 11 | 16 || 12 | 23 |### Data AnalysisThis data can be used to observe trends and patterns in gasoline consumption over time. Various statistical methods and visualizations, such as line graphs or bar charts, can be employed to further analyze the sales data. Trends such as seasonal increases or decreases, the impact of external factors, and predicting future sales can be assessed through this data.For instance, week 4 shows the highest sales at 24,000 gallons, whereas weeks 6 and 11 have the lowest sales at 16,000 gallons each. This information might be indicative of underlying factors that can be explored for further insights.### Visual RepresentationTo visually represent this data, one can create a line graph with 'Week' on the x-axis and 'Sales (1,000s of gallons)' on the y-axis. This would allow for a clear visualization of the fluctuations in sales over the 12-week period. Alternatively, a bar graph can be used to compare the sales values for each week directly. Both visualizations provide a different perspective on the sales trends and can be used complementarily to extract more insights.### ConclusionAnalyzing this table helps in understanding the gasoline sales trends in Bennington, Vermont, highlighting weeks of higher or lower demand and preparing for future sales strategies accordingly. ### Moving Average Forecast Computation#### (b) Compute the MSE for the four-week and five-week moving average forecasts.- **Compute the MSE for the four-week moving average forecasts.** (Round your answer to two decimal places.) - [Input box for MSE value] - **Compute the MSE for the five-week moving average forecasts.** (Round your answer to two decimal places.) - [Input box for MSE value]#### (c) Analysis of the Best Number of Weeks for Moving Average Computation**What appears to be the best number of weeks of past data (three, four, or five) to use in the moving average computation?**- **MSE for the three-week moving average is 11.22.**- Options: 1. **Three weeks appears to be the best, because the three-week moving average provides the smallest MSE.** - [Radio button] 2. **Three weeks appears to be the best, because the three-week moving average provides the largest MSE.** - [Radio button] 3. **Four weeks appears to be the best, because the four-week moving average provides the smallest MSE.** - [Radio button] 4. **Five weeks appears to be the best, because the five-week moving average provides the smallest MSE.** - [Radio button] 5. **None appear better than the others, because they all provide the same MSE.** - [Radio button]

From the following data, computing MSE as follows,

Answered: Suppose these data show the number of…

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks. Week 1 2 3 4 5 6 7 00 9 10 11 12 Sales (1,000s of gallons) 18 22 20 24 18 16 20 19 22 20 16 23