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TABLE 16-14 a Contractor Developed a Multiplicative Time-Series Model to Forecast the Forecast

Question 161

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TABLE 16-14
A contractor developed a multiplicative time-series model to forecast the number of contracts in future quarters,using quarterly data on number of contracts during the 3-year period from 2010 to 2012.The following is the resulting regression equation:
ln TABLE 16-14 A contractor developed a multiplicative time-series model to forecast the number of contracts in future quarters,using quarterly data on number of contracts during the 3-year period from 2010 to 2012.The following is the resulting regression equation: ln   = 3.37 + 0.117 X - 0.083 Q<sub>1</sub> + 1.28 Q<sub>2</sub> + 0.617 Q<sub>3</sub> where   is the estimated number of contracts in a quarter X is the coded quarterly value with X = 0 in the first quarter of 2010 Q<sub>1</sub> is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise Q<sub>2</sub> is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise Q<sub>3</sub> is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise -Referring to Table 16-14,to obtain a forecast for the fourth quarter of 2013 using the model,which of the following sets of values should be used in the regression equation? A) X = 15,Q<sub>1</sub> = 0,Q<sub>2</sub> = 0,Q<sub>3</sub> = 0 B) X = 15,Q<sub>1</sub> = 1,Q<sub>2</sub> = 0,Q<sub>3</sub> = 0 C) X = 16,Q<sub>1</sub> = 0,Q<sub>2</sub> = 0,Q<sub>3</sub> = 0 D) X = 16,Q1 = 1,Q<sub>2</sub> = 0,Q<sub>3</sub> = 0 = 3.37 + 0.117 X - 0.083 Q1 + 1.28 Q2 + 0.617 Q3
where TABLE 16-14 A contractor developed a multiplicative time-series model to forecast the number of contracts in future quarters,using quarterly data on number of contracts during the 3-year period from 2010 to 2012.The following is the resulting regression equation: ln   = 3.37 + 0.117 X - 0.083 Q<sub>1</sub> + 1.28 Q<sub>2</sub> + 0.617 Q<sub>3</sub> where   is the estimated number of contracts in a quarter X is the coded quarterly value with X = 0 in the first quarter of 2010 Q<sub>1</sub> is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise Q<sub>2</sub> is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise Q<sub>3</sub> is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise -Referring to Table 16-14,to obtain a forecast for the fourth quarter of 2013 using the model,which of the following sets of values should be used in the regression equation? A) X = 15,Q<sub>1</sub> = 0,Q<sub>2</sub> = 0,Q<sub>3</sub> = 0 B) X = 15,Q<sub>1</sub> = 1,Q<sub>2</sub> = 0,Q<sub>3</sub> = 0 C) X = 16,Q<sub>1</sub> = 0,Q<sub>2</sub> = 0,Q<sub>3</sub> = 0 D) X = 16,Q1 = 1,Q<sub>2</sub> = 0,Q<sub>3</sub> = 0 is the estimated number of contracts in a quarter
X is the coded quarterly value with X = 0 in the first quarter of 2010
Q1 is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise
Q2 is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise
Q3 is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise
-Referring to Table 16-14,to obtain a forecast for the fourth quarter of 2013 using the model,which of the following sets of values should be used in the regression equation?


A) X = 15,Q1 = 0,Q2 = 0,Q3 = 0
B) X = 15,Q1 = 1,Q2 = 0,Q3 = 0
C) X = 16,Q1 = 0,Q2 = 0,Q3 = 0
D) X = 16,Q1 = 1,Q2 = 0,Q3 = 0

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