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Consider the following time series data. Week 1 2 3 4 5 6 Value 18 13 16 11 17 14 Develop a three-week moving average

Consider the following time series data. Week 1 2 3 4 5 6 Value 18 13 16 11 17 14 Develop a three-week moving average for this time series. Compute MSE and a forecast for week 7. Round your answers to two decimal places. Time Wee Series Forecast k Value 1 18 2 13 3 16 4 11 ?? 5 17 ?? 6 14 ?? MSE: ?? The forecast for week 7: ?? a Use = 0.2 to compute the exponential smoothing values for the time series. Compute MSE and a forecast for week 7. Round your answers to two decimal places. e e k 1 Time Series Value b Forecast 18 N/A 2 13 ?? 3 16 ?? 4 11 ?? 5 17 ?? 6 14 ?? MSE: ?? The forecast for week 7: ?? Compare the three-week moving average forecast with the exponential smoothing forecast using = 0.2. Which appears to provide the better forecast based on MSE? Use trial and error to find a value of the exponential smoothing coefficient that results in a smaller MSE than what you calculated for = 0.2. Find a value of for the smallest MSE. Round your answer to three decimal places. = ?? i Three-week moving average

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