Exam 2: Forecasting

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Perfect forecasts can be obtained only by using

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D

Weighted moving average method can be considered as a special case of exponential smoothing since both methods use

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E

Centered moving average is

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For the data (0,100),(1,200),(2,220),(3,220),(4,266),(5,318)(0,100),(1,200),(2,220),(3,220),(4,266),(5,318) , where the first number in parenthesis is period and the second number is the actual demand, the exponentially smoothed forecast for period 6 (F6)\left(\mathrm{F}_{6}\right) , with initial forecast (F0)=100\left(\mathrm{F}_{0}\right)=100 and α=0.7\alpha=0.7 , is equal to

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An automatic traffic counter is set to collect data on the number of cars passing through an intersection between 9 a.m. and 10 a.m. on every Monday, alternate Fridays, and every third Thursday of the month. This data will

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For the data (0,1000),(1,1500),(2,2000),(3,2500),(4,3000),(5,3500)(0,1000),(1,1500),(2,2000),(3,2500),(4,3000),(5,3500) , where the first number in parenthesis is tt and the second number is the actual demand, if we fit a trend line of the form yt=a+bty t=a+b t , then the trend line forecast for period 7 will be

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For the data (0,100),(1,200),(2,220),(3,220),(4,266),(5,318)(0,100),(1,200),(2,220),(3,220),(4,266),(5,318) , where the first number in parenthesis is period and the second number is the actual demand, the exponentially smoothed forecast for period 6( F6)6\left(\mathrm{~F}_{6}\right) , with initial forecast (F0)=100\left(\mathrm{F}_{0}\right)=100 , was found to be 312.3. The researcher forgot the a used in the calculations, but it is known that the a used is either 0.9 or 0.2 . What is your best guess for the α\alpha used, applying the properties of exponential smoothing?

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Seasonality indices (seasonal relatives) can be calculated by

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Demand data for number of packed food sold by Advanced Airlines on each day of the first two weeks of August 2005 is given in the table below.  Demand data for number of packed food sold by Advanced Airlines on each day of the first two weeks of August 2005 is given in the table below.     (A) Using the centered moving average method, generate a set of centered moving averages using  \mathrm{n} , the number of periods set to 3 . (B) Fit a trend line for the centered moving average data, using  \mathrm{t}=1  for 8-1-2005. (C) Estimate seasonal index Monday. (D) Make a seasonally adjusted trend line forecast for 8-15-2005. (A) Using the centered moving average method, generate a set of centered moving averages using n\mathrm{n} , the number of periods set to 3 . (B) Fit a trend line for the centered moving average data, using t=1\mathrm{t}=1 for 8-1-2005. (C) Estimate seasonal index Monday. (D) Make a seasonally adjusted trend line forecast for 8-15-2005.

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For the data (0,1000),(1,900),(2,800),(3,700),(4,600),(5,500)(0,1000),(1,900),(2,800),(3,700),(4,600),(5,500) , where the first number in parenthesis is t\mathrm{t} and the second number is the actual demand, if we fit a trend line of the form yt=a+bty t=a+b t , the value of a obtained using the appropriate formulae is

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One period moving average for any set of data will be the same as the naïve forecast. (Choose the appropriate word to fill the blank.)

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For the data (0,1000),(1,900),(2,800),(3,700),(4,600),(5,500)(0,1000),(1,900),(2,800),(3,700),(4,600),(5,500) , where the first number in parenthesis is t\mathrm{t} and the second number is the actual demand, if we fit a trend line of the form yt=a+bty t=a+b t , the value of b\mathrm{b} obtained using the appropriate formulae is

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In exponential smoothing the sum of the weights assigned to previous data

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For the data (0,100),(1,200),(2,220),(3,220),(4,250),(5,280)(0,100),(1,200),(2,220),(3,220),(4,250),(5,280) , where the first number in parenthesis is tt and the second number is the actual demand, if we fit a trend line of the form yt=a+bty t=a+b t , the value of bb

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Good forecasts usually result by using choosing a/na / n

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Using the trend line yt=20+6ty_{t}=20+6_{t} , where yty t is the trend line forecast for period t,y5t, y_{5} will be equal to

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MAD and MSE for a given set of data will be

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In exponential smoothing the actual weight assigned to previous data

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Exponential smoothing can be considered as a special case of weighted moving average method since

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Qualitative forecasts can be modified by

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