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TABLE 16-13 A Local Store Developed a Multiplicative Time-Series Model to Forecast

Question 18

Multiple Choice

TABLE 16-13
A local store developed a multiplicative time-series model to forecast its revenues in future quarters, using quarterly data on its revenues during the 4-year period from 1998 to 2002. The following is the resulting regression equation:
log10Y^ = 6.102 + 0.012 X - 0.129 Q1 - 0.054 Q2 + 0.098 Q3
where
Y^ is the estimated number of contracts in a quarter
X is the coded quarterly value with X = 0 in the first quarter of 1998.
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 16-13, the best interpretation of the coefficient of Q2 (- 0.054) in the regression equation is


A) the revenues in the second quarter of a year is approximately 5.4% lower than it would be during the fourth quarter.
B) the revenues in the second quarter of a year is approximately 5.4% lower than the average over all 4 quarters.
C) the revenues in the second quarter of a year is approximately 11.69% lower than the average over all 4 quarters.
D) the revenues in the second quarter of a year is approximately 11.69% lower than it would be during the fourth quarter.

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