Exam 6: Times Series Analysis and Forecasting

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Forecast errors

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The number of pizzas ordered on Friday evenings between 5:30 and 6:30 at a pizza delivery location for the last 10 weeks is shown below.Use exponential smoothing with smoothing constants of .2 and .8 to forecast a value for week 11.Compare your forecasts using MSE.Which smoothing constant would you prefer? 58,46,55,39,42,63,54,55,61,52

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FORECASTING WITH EXPONENTIAL SMOOTHING
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THE SMOOTHING CONSTANT IS 0.2  Time Period  Actual Value  Forecast  Forecast Error 124658.0012.0035555.600.6043955.4816.4854252.1810.1866350.1512.8575452.721.2885552.972.0396153.387.62105254.902.90\begin{array} { c c c r } \text { Time Period } & \text { Actual Value } & \text { Forecast } & \text { Forecast Error } \\1 & & & \\2 & 46 & 58.00 & - 12.00 \\3 & 55 & 55.60 & - 0.60 \\4 & 39 & 55.48 & - 16.48 \\5 & 42 & 52.18 & - 10.18 \\6 & 63 & 50.15 & 12.85 \\7 & 54 & 52.72 & 1.28 \\8 & 55 & 52.97 & 2.03 \\9 & 61 & 53.38 & 7.62 \\10 & 52 & 54.90 & - 2.90\end{array} THE MEAN SQUARE ERROR 84.12
THE FORECAST FOR PERIOD 11 54.32
FORECASTING WITH EXPONENTIAL SMOOTHING
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THE SMOOTHING CONSTANT IS 0.8  Time Period  Actual Value  Forecast  Forecast Error 124658.0012.0035548.406.6043953.6814.6854241.940.0666341.9921.0175458.804.8085554.960.0496154.996.01105259.807.80\begin{array} { c c c r } \text { Time Period } & \text { Actual Value } & \text { Forecast } & \text { Forecast Error } \\1 & & & \\2 & 46 & 58.00 & - 12.00 \\3 & 55 & 48.40 & 6.60 \\4 & 39 & 53.68 & - 14.68 \\5 & 42 & 41.94 & 0.06 \\6 & 63 & 41.99 & 21.01 \\7 & 54 & 58.80 & - 4.80 \\8 & 55 & 54.96 & 0.04 \\9 & 61 & 54.99 & 6.01 \\10 & 52 & 59.80 & - 7.80\end{array} THE MEAN SQUARE ERROR 107.17
THE FORECAST FOR PERIOD 11 53.56
Based on MSE,smoothing with = .2 provides a better model.

Which of the following exponential smoothing constant values puts the same weight on the most recent time series value as does a 5-period moving average?

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A trend line for the attendance at a restaurant's Sunday brunch is given by Number = 264 + .72(t) How many guests would you expect in week 20?

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The exponential smoothing forecast for any period is a weighted average of all the previous actual values for the time series.

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The focus of smoothing methods is to smooth out

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Qualitative forecasting techniques should be applied in situations where time series data exists,but where conditions are expected to change.

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Using a naive forecasting method,the forecast for next week's sales volume equals

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Time series data can exhibit seasonal patterns of less than one month in duration.

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When using a moving average of order k to forecast,a small value for k is preferred if only the most recent values of the time series are considered relevant.

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Linear trend is calculated as Tt = 28.5 + .75t.The trend projection for period 15 is

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In situations where you need to compare forecasting methods for different time periods,realtive measures such as mean absolute error (MAE)are preferred.

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All of the following are true about time series methods except

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Use a four-period moving average to forecast attendance at baseball games.Historical records show 5346,7812,6513,5783,5982,6519,6283,5577,6712,7345

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Exponential smoothing with = .2 and a moving average with n = 5 put the same weight on the actual value for the current period.

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Whenever a categorical variable such as season has k levels,the number of dummy variables required is

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Using exponential smoothing,the demand forecast for time period 10 equals the demand forecast for time period 9 plus

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The mean squared error is influenced much more by large forecast errors than is the mean absolute error.

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The forecasting method that is appropriate when the time series has no significant trend,cyclical,or seasonal pattern is

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Weekly sales of the Weber Dicamatic food processor for the past ten weeks have been: Week Sales Week Sales 1 980 6 990 2 1040 7 1030 3 1120 8 1260 4 1050 9 1240 5 960 10 1100 a. Determine, on the basis of minimizing the mean square error, whether a three-period or four-period simple moving average model gives a better forecast for this problem. b. For each model, forecast sales for week 11.

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