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4. Optimizing Exponential Smoothing: The table below shows the optimal smoothing constants from applying exponential smoothing to data, using automated model selection: Level 1.000 Trend

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4. Optimizing Exponential Smoothing: The table below shows the optimal smoothing constants from applying exponential smoothing to data, using automated model selection: Level 1.000 Trend 0.000 Seasonality 0.246 (a) Using a series partitioned into training / validation peri- ods and the ets function in R, the optimized smoothing constants are those that maximize (choose one of the fol- lowing): 0 The likelihood over the training period 0 The likelihood over the validation period 0 The likelihood over the training period with a penalty on the number of parameters 0 The likelihood over the validation period with a penalty on the number of parameters (b) The value of zero that is obtained for the trend smoothing constant means that (choose one of the following): 0 There is no trend 0 The trend is estimated only from the rst two points 0 The trend is updated throughout the data 0 The trend is statistically insignicant (c) What is the danger of using the optimal smoothing con- stant values

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