Exam 16: Time-Series Analysis and Forecasting

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the data set of the number of preorders received for a particular game on a weekly basis. The forecaster uses the Holt-Winters Exponential Smoothing for nonseasonal series to forecast the number of preorders in future time periods. He uses α = 0.8 and β = 0.5.(Hint: Use the formula from the text to arrive at the answers. ) THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the data set of the number of preorders received for a particular game on a weekly basis. The forecaster uses the Holt-Winters Exponential Smoothing for nonseasonal series to forecast the number of preorders in future time periods. He uses α = 0.8 and β = 0.5.(Hint: Use the formula from the text to arrive at the answers. )    -What is initial estimate of the trend value for week 2? -What is initial estimate of the trend value for week 2?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below shows the quarterly sales of a particular kind of vaccine for dogs.The forecaster uses autoregressive models with p = 3 to forecast the sales for future time periods. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below shows the quarterly sales of a particular kind of vaccine for dogs.The forecaster uses autoregressive models with p = 3 to forecast the sales for future time periods.    -The number of forecast values determined is: -The number of forecast values determined is:

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the data set of the number of preorders received for a particular game on a weekly basis. The forecaster uses the Holt-Winters Exponential Smoothing for nonseasonal series to forecast the number of preorders in future time periods. He uses α = 0.8 and β = 0.5.(Hint: Use the formula from the text to arrive at the answers. ) THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the data set of the number of preorders received for a particular game on a weekly basis. The forecaster uses the Holt-Winters Exponential Smoothing for nonseasonal series to forecast the number of preorders in future time periods. He uses α = 0.8 and β = 0.5.(Hint: Use the formula from the text to arrive at the answers. )    -What is the trend estimate for week 10? -What is the trend estimate for week 10?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the data set of the Shiller Real Home Price Index for the years 1934-1944. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the data set of the Shiller Real Home Price Index for the years 1934-1944.    -Consider the following time-series data.Develop the simple centered 5-point moving average for this series.   -Consider the following time-series data.Develop the simple centered 5-point moving average for this series. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the data set of the Shiller Real Home Price Index for the years 1934-1944.    -Consider the following time-series data.Develop the simple centered 5-point moving average for this series.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The daily sales figures shown below have been recorded in a medium size insurance company. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The daily sales figures shown below have been recorded in a medium size insurance company.    -The data values in the table below show an index of food prices,seasonally adjusted,over a period of 14 months in Germany.         Use the Holt-Winters method with smoothing constants α = 0.5 and β =0.5 to obtain forecasts for the next 3 months. -The data values in the table below show an index of food prices,seasonally adjusted,over a period of 14 months in Germany. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The daily sales figures shown below have been recorded in a medium size insurance company.    -The data values in the table below show an index of food prices,seasonally adjusted,over a period of 14 months in Germany.         Use the Holt-Winters method with smoothing constants α = 0.5 and β =0.5 to obtain forecasts for the next 3 months. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The daily sales figures shown below have been recorded in a medium size insurance company.    -The data values in the table below show an index of food prices,seasonally adjusted,over a period of 14 months in Germany.         Use the Holt-Winters method with smoothing constants α = 0.5 and β =0.5 to obtain forecasts for the next 3 months. Use the Holt-Winters method with smoothing constants α = 0.5 and β =0.5 to obtain forecasts for the next 3 months.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below shows the quarterly sales of a gifting store.The forecaster uses the Holt-Winters multiplicative model to determine the forecast for future periods. Given: α = 0.6,β = 0.5,and γ = 0.4. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below shows the quarterly sales of a gifting store.The forecaster uses the Holt-Winters multiplicative model to determine the forecast for future periods. Given: α = 0.6,β = 0.5,and γ = 0.4.    -Calculate the value of the mean absolute percentage error. -Calculate the value of the mean absolute percentage error.

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A time series is a:

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the data set of the Shiller Real Home Price Index for the years 1894-1904. Use a smoothing constant of α = 0.8 to determine the forecasts using simple exponential smoothing. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the data set of the Shiller Real Home Price Index for the years 1894-1904. Use a smoothing constant of α = 0.8 to determine the forecasts using simple exponential smoothing.    -Calculate the forecast value for the year 1905,if the real home price index for that year is 98.056. -Calculate the forecast value for the year 1905,if the real home price index for that year is 98.056.

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The formula that explains simple exponential smoothing is The formula that explains simple exponential smoothing is    <sub>t</sub> = (1 - α)    <sub>t</sub><sub>-1</sub> + αx<sub>t</sub> for 0 < α < 1. t = (1 - α) The formula that explains simple exponential smoothing is    <sub>t</sub> = (1 - α)    <sub>t</sub><sub>-1</sub> + αx<sub>t</sub> for 0 < α < 1. t-1 + αxt for 0 < α < 1.

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The more modern approach to time-series analysis concentrates on the isolation of the individual components (trend,seasonality,cyclical,and irregular)from a series.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the quarterly data of the Shiller Real Home Price Index.To remove the seasonality a centered 4-point moving average is used. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the quarterly data of the Shiller Real Home Price Index.To remove the seasonality a centered 4-point moving average is used.    -What is the centered 4-point moving average for   ? -What is the centered 4-point moving average for THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the quarterly data of the Shiller Real Home Price Index.To remove the seasonality a centered 4-point moving average is used.    -What is the centered 4-point moving average for   ? ?

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The first-order autoregressive model expresses the current value,xt of a series in terms of the previous value,xt-1 and a nonautocorrelated random variable εt.

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The table below shows the weekly sales of umbrellas during the rainy season.How will you go about removing the irregularity component of this time series using the method of 4-point moving averages? The table below shows the weekly sales of umbrellas during the rainy season.How will you go about removing the irregularity component of this time series using the method of 4-point moving averages?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the quarterly data of the Shiller Real Home Price Index.To remove the seasonality a centered 4-point moving average is used. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the quarterly data of the Shiller Real Home Price Index.To remove the seasonality a centered 4-point moving average is used.    -Calculate the centered 4-point moving average for   . -Calculate the centered 4-point moving average for THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the quarterly data of the Shiller Real Home Price Index.To remove the seasonality a centered 4-point moving average is used.    -Calculate the centered 4-point moving average for   . .

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the data set of the number of preorders received for a particular game on a weekly basis. The forecaster uses the Holt-Winters Exponential Smoothing for nonseasonal series to forecast the number of preorders in future time periods. He uses α = 0.8 and β = 0.5.(Hint: Use the formula from the text to arrive at the answers. ) THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the data set of the number of preorders received for a particular game on a weekly basis. The forecaster uses the Holt-Winters Exponential Smoothing for nonseasonal series to forecast the number of preorders in future time periods. He uses α = 0.8 and β = 0.5.(Hint: Use the formula from the text to arrive at the answers. )    -What is the approximate level estimate for week 8? -What is the approximate level estimate for week 8?

(Multiple Choice)
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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below shows the corporate earnings percentage of an enterprise for 5 years. The company's forecaster uses the 4-period centered moving average to remove the seasonality component. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below shows the corporate earnings percentage of an enterprise for 5 years. The company's forecaster uses the 4-period centered moving average to remove the seasonality component.    -How will you go about removing the irregularity component of this time series using the method of 4-point moving averages? -How will you go about removing the irregularity component of this time series using the method of 4-point moving averages?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below shows the corporate earnings percentage of an enterprise for 5 years. The company's forecaster uses the 4-period centered moving average to remove the seasonality component. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below shows the corporate earnings percentage of an enterprise for 5 years. The company's forecaster uses the 4-period centered moving average to remove the seasonality component.    -If the forecast value,    <sub>t</sub>,at time t is a weighted average of the previous period forecast    <sub>t</sub><sub>-1</sub> and the latest observation    <sub>t</sub>,write the formula used to compute the simple exponential smoothing forecast. -If the forecast value, THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below shows the corporate earnings percentage of an enterprise for 5 years. The company's forecaster uses the 4-period centered moving average to remove the seasonality component.    -If the forecast value,    <sub>t</sub>,at time t is a weighted average of the previous period forecast    <sub>t</sub><sub>-1</sub> and the latest observation    <sub>t</sub>,write the formula used to compute the simple exponential smoothing forecast. t,at time t is a weighted average of the previous period forecast THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below shows the corporate earnings percentage of an enterprise for 5 years. The company's forecaster uses the 4-period centered moving average to remove the seasonality component.    -If the forecast value,    <sub>t</sub>,at time t is a weighted average of the previous period forecast    <sub>t</sub><sub>-1</sub> and the latest observation    <sub>t</sub>,write the formula used to compute the simple exponential smoothing forecast. t-1 and the latest observation THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below shows the corporate earnings percentage of an enterprise for 5 years. The company's forecaster uses the 4-period centered moving average to remove the seasonality component.    -If the forecast value,    <sub>t</sub>,at time t is a weighted average of the previous period forecast    <sub>t</sub><sub>-1</sub> and the latest observation    <sub>t</sub>,write the formula used to compute the simple exponential smoothing forecast. t,write the formula used to compute the simple exponential smoothing forecast.

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the quarterly data of the Shiller Real Home Price Index.To remove the seasonality a centered 4-point moving average is used. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the quarterly data of the Shiller Real Home Price Index.To remove the seasonality a centered 4-point moving average is used.    -What is the value of   ? -What is the value of THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the quarterly data of the Shiller Real Home Price Index.To remove the seasonality a centered 4-point moving average is used.    -What is the value of   ? ?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the data set of the number of preorders received for a particular game on a weekly basis. The forecaster uses the Holt-Winters Exponential Smoothing for nonseasonal series to forecast the number of preorders in future time periods. He uses α = 0.8 and β = 0.5.(Hint: Use the formula from the text to arrive at the answers. ) THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The table below is the data set of the number of preorders received for a particular game on a weekly basis. The forecaster uses the Holt-Winters Exponential Smoothing for nonseasonal series to forecast the number of preorders in future time periods. He uses α = 0.8 and β = 0.5.(Hint: Use the formula from the text to arrive at the answers. )    -Which of the following weeks has an approximate trend estimate of 68? -Which of the following weeks has an approximate trend estimate of 68?

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THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following quarterly time series data. THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following quarterly time series data.    -Show the table with the forecast for each reading. -Show the table with the forecast for each reading.

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