Question: Using the factory energy cost data in the table below, find the best moving average and exponential smoothing models using the Moving Average and Exponential
Using the factory energy cost data in the table below, find the best moving average and exponential smoothing models using the Moving Average and Exponential Smoothing Excel templates.
| Year | Energy Costs |
| 1 | 15,349.41 |
| 2 | 15,403.95 |
| 3 | 15,931.83 |
| 4 | 16,618.37 |
| 5 | 16,905.76 |
| 6 | 16,851.83 |
| 7 | 16,811.71 |
| 8 | 17,104.73 |
| 9 | 16,830.79 |
| 10 | 17,847.41 |
| 11 | 18,185.84 |
| 12 | 18,786.66 |
| 13 | 18,868.50 |
| 14 | 18,907.61 |
| 15 | 19,314.86 |
Find the best number of years to use in a moving average forecast based on MSE. Do not round intermediate calculations. Round your answers to two decimal places.
| Number of years | MSE |
| 2 | |
| 3 | |
| 4 |
The -Select-2-year3-year4-yearItem 4 moving average model is better.
Find the best single exponential smoothing model by evaluating the MSE from 0.1 to 0.9, in increments of 0.1. Do not round intermediate calculations. Round your answers to two decimal places.
| Alpha | MSE |
| 0.1 | |
| 0.2 | |
| 0.3 | |
| 0.4 | |
| 0.5 | |
| 0.6 | |
| 0.7 | |
| 0.8 | |
| 0.9 |
The model based on a smoothing constant of -Select-0.10.20.30.40.50.60.70.80.9Item 14 is the best.
Compare the forecasting ability of the best moving average and single exponential smoothing models with a regression model. The regression equation is Y = 15,086.41 + 278.53(Year) with MSE = 97,193.38. Which model would you choose based on MSE?
The -Select-single exponential smoothingregressionmoving averageItem 15 model should be chosen.
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