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The manager of a small health clinic would like to use exponential smoothing to forecast demand for emergency services in the facility.
The manager of a small health clinic would like to use exponential smoothing to forecast demand for emergency services in the facility. However, she is not sure whether to use a high or low value of α. To make her decision, she would like to compare the forecast accuracy of a high and low α on historical data. She has decided to use an α = 0.7 for the high value and α = 0.1 for the low value.For both alpha values, enter exponential smoothing forecasts for weeks 2-6, and calculate the MAD for each alpha value.(Round your answers to 1 decimal place, the tolerance is +/- 0.5)Initatilize the computations using the naïve methodWeek Demand (in patients serviced)1 430 2 289 3 367 4 470 5 468 6 365Exponential Smoothing Forecasts Week Demand α = 0.10 α = 0.70 MAD:
Let the historical data sequence be represented by {xt, t=1 to 6} and the exponential smoothingforecasts be {St, t=2 to 6}.Then we have,S1= x1; St =α xt-1 + (1-α) St-1, t=2 (1) 6Then for...