Exam 20: Time-Series Analysis and Forecasting

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The time series component that reflects a wavelike pattern describing a long-term trend that is generally apparent over a number of years is called:

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We compute the five-period moving averages for all time periods except the first two and last two time periods.

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The trend line and seasonal indexes shown below were computed from four weeks of daily observations.Forecast the seven values for the next week. Trend Line: y~t\tilde { y } _ { t } = 145 + 1.66t (t = 1,2,3,...28) Day Sunday 1.403 Munday 0.517 Tuesday 0.515 Wednesday 0.621 Thursday 0.675 Friday 1.145 Saturday 2.124

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Which of the following will not be present in a deseasonalized time series?

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Which of the following statements about the method of exponential smoothing is not true?

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Photo Equipment Store Earnings The quarterly earnings of a chain of Photo Equipment stores have been recorded for the years 2011-2014.These data (in millions of dollars)are shown in the accompanying table. Year Quarter 2011 2012 2013 2014 1 65 70 73 79 2 80 88 90 95 3 98 103 107 111 4 67 74 76 80 -The trend line y~t\tilde { y } _ { t } = 1800 + 75t - 2t2 and seasonal indexes shown in the table below were computed from five years of quarterly observations.Forecast the four quarterly values for next year. Quarter 1 0.575 2 0.825 3 1.225 4 1.375

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Which of the four time series components is more likely to exhibit the relative steady growth of the population of Las Vegas from 1964 to 2004?

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Given a data set with 15 yearly observations,there are only thirteen 3-year moving averages.

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Quarterly Sales The quarterly sales (in millions of dollars)of a Motorcycle Dealership were recorded for the years 2011-2014.They are listed below. Year Quarter Sales 2011 1 21 2 36 3 28 4 44 2012 1 25 2 23 3 39 4 36 2013 1 30 2 41 3 47 4 55 2014 1 34 2 29 3 32 4 48 -{Quarterly Sales Narrative} Graph the time series and the moving averages.What can you conclude from your time-series smoothing?

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If avoiding large errors is important,____________________ should be used because it penalizes large deviations more heavily than does MAD.

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Smoothing time series data by the moving average method or exponential smoothing method is an attempt to remove the effect of the random variation component.

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Liquor Sales The number of cases of liquor sold by a liquor wholesaler in an 8-year period follows. 2011 270 2012 356 2013 398 2014 456 2015 358 2016 500 2017 410 2018 376 -{Liquor Sales Narrative} A centered 3-year moving average is to be constructed for the liquor sales.The moving average for 2015 is ____________________.

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Coffee Imports The coffee imports (in millions of dollars)from a Latin American country for 10 years are shown below. Year t Exports 2011 1 96 2012 2 110 2013 3 125 2014 4 141 2015 5 132 2016 6 126 2017 7 118 2018 8 125 2019 9 133 2020 10 148 -{The Pyramids of Giza Narrative} Calculate the four-quarter centered moving averages and use it to calculate the seasonal (quarterly)indexes.

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Liquor Sales The number of cases of liquor sold by a liquor wholesaler in an 8-year period follows. 2011 270 2012 356 2013 398 2014 456 2015 358 2016 500 2017 410 2018 376 -{Liquor Sales Narrative} A centered 5-year moving average is to be constructed for the liquor sales.The moving average for 2013 is ____________________.

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The principle of parsimony indicates that the simplest model that gets the job done adequately should be used.

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The trend line y~t\tilde { y } _ { t } = 0.75 + 0.005t was calculated from quarterly data for 2000-2004,where t = 1 for the first quarter of 2000.The trend value for the second quarter of the year 2005 is 0.86.

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MAD stands for ____________________ absolute deviation.

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For which of the following values of the smoothing constant w will the smoothed series catch up most quickly whenever the original time series changes direction?

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Liquor Sales The number of cases of liquor sold by a liquor wholesaler in an 8-year period follows. 2011 270 2012 356 2013 398 2014 456 2015 358 2016 500 2017 410 2018 376 -{Liquor Sales Narrative} Exponential smoothing with a weight or smoothing constant of 0.4 will be used to forecast liquor sales.The forecast for 2019 is ____________________.

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The easiest way of measuring the long-term trend is by regression analysis,where time is the dependent variable.

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