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TABLE 16-12 A Local Store Developed a Multiplicative Time-Series Model to Forecast

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TABLE 16-12
A local store developed a multiplicative time-series model to forecast its revenues in future quarters,using quarterly data on its revenues during the 5-year period from 2008 to 2012.The following is the resulting regression equation:
log10
TABLE 16-12 A local store developed a multiplicative time-series model to forecast its revenues in future quarters,using quarterly data on its revenues during the 5-year period from 2008 to 2012.The following is the resulting regression equation: log<sub>10</sub> <sub> </sub>   = 6.102 + 0.012 X - 0.129 Q<sub>1</sub> - 0.054 Q<sub>2</sub> + 0.098 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 2008 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   is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise -Referring to Table 16-12,the best interpretation of the coefficient of Q<sub>3</sub> (0.098) in the regression equation is A) the revenues in the third quarter of a year is approximately 9.8% higher than the average over all 4 quarters. B) the revenues in the third quarter of a year is approximately 9.8% higher than it would be during the fourth quarter. C) the revenues in the third quarter of a year is approximately 25.31% higher than the average over all 4 quarters. D) the revenues in the third quarter of a year is approximately 25.31% higher than it would be during the fourth quarter. = 6.102 + 0.012 X - 0.129 Q1 - 0.054 Q2 + 0.098 Q3
where TABLE 16-12 A local store developed a multiplicative time-series model to forecast its revenues in future quarters,using quarterly data on its revenues during the 5-year period from 2008 to 2012.The following is the resulting regression equation: log<sub>10</sub> <sub> </sub>   = 6.102 + 0.012 X - 0.129 Q<sub>1</sub> - 0.054 Q<sub>2</sub> + 0.098 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 2008 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   is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise -Referring to Table 16-12,the best interpretation of the coefficient of Q<sub>3</sub> (0.098) in the regression equation is A) the revenues in the third quarter of a year is approximately 9.8% higher than the average over all 4 quarters. B) the revenues in the third quarter of a year is approximately 9.8% higher than it would be during the fourth quarter. C) the revenues in the third quarter of a year is approximately 25.31% higher than the average over all 4 quarters. D) the revenues in the third quarter of a year is approximately 25.31% higher than it would be during the fourth quarter. is the estimated number of contracts in a quarter
X is the coded quarterly value with X = 0 in the first quarter of 2008
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 TABLE 16-12 A local store developed a multiplicative time-series model to forecast its revenues in future quarters,using quarterly data on its revenues during the 5-year period from 2008 to 2012.The following is the resulting regression equation: log<sub>10</sub> <sub> </sub>   = 6.102 + 0.012 X - 0.129 Q<sub>1</sub> - 0.054 Q<sub>2</sub> + 0.098 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 2008 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   is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise -Referring to Table 16-12,the best interpretation of the coefficient of Q<sub>3</sub> (0.098) in the regression equation is A) the revenues in the third quarter of a year is approximately 9.8% higher than the average over all 4 quarters. B) the revenues in the third quarter of a year is approximately 9.8% higher than it would be during the fourth quarter. C) the revenues in the third quarter of a year is approximately 25.31% higher than the average over all 4 quarters. D) the revenues in the third quarter of a year is approximately 25.31% higher than it would be during the fourth quarter. is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise
-Referring to Table 16-12,the best interpretation of the coefficient of Q3 (0.098) in the regression equation is


A) the revenues in the third quarter of a year is approximately 9.8% higher than the average over all 4 quarters.
B) the revenues in the third quarter of a year is approximately 9.8% higher than it would be during the fourth quarter.
C) the revenues in the third quarter of a year is approximately 25.31% higher than the average over all 4 quarters.
D) the revenues in the third quarter of a year is approximately 25.31% higher than it would be during the fourth quarter.

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