Instruction 14-5
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 2005 to 2009.The following is the resulting regression equation:
log 10 $\hat { Y }$ = 6.102 + 0.012 X - 0.129 Q 1 - 0.054 Q 2 + 0.098 Q 3
Where
$\hat { Y }$ is the estimated number of contracts in a quarter
X is the coded quarterly value with X = 0 in the first quarter of 2005.
Q 1 is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise.
Q 2 is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise.
Q 3 is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise.
-Referring to Instruction 14-5,using the regression equation,what is the forecast for the revenues in the fourth quarter of 2004?

Question

Instruction 14-5
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 2005 to 2009.The following is the resulting regression equation:
log 10 $\hat { Y }$ = 6.102 + 0.012 X - 0.129 Q 1 - 0.054 Q 2 + 0.098 Q 3 
Where
 $\hat { Y }$ is the estimated number of contracts in a quarter
X is the coded quarterly value with X = 0 in the first quarter of 2005.
Q 1 is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise.
Q 2 is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise.
Q 3 is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise.
-Referring to Instruction 14-5,using the regression equation,what is the forecast for the revenues in the fourth quarter of 2004?

Quizplus · Accepted Answer

The Answer of Instruction 14-5
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 2005 to 2009.The following is the resulting regression equation:
log 10 $\hat { Y }$ = 6.102 + 0.012 X - 0.129 Q 1 - 0.054 Q 2 + 0.098 Q 3 
Where
 $\hat { Y }$ is the estimated number of contracts in a quarter
X is the coded quarterly value with X = 0 in the first quarter of 2005.
Q 1 is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise.
Q 2 is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise.
Q 3 is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise.
-Referring to Instruction 14-5,using the regression equation,what is the forecast for the revenues in the fourth quarter of 2004?

Instruction 14-5 a Local Store Developed a Multiplicative Time-Series Model Y^\hat { Y }Y^

Instruction 14-5
a Local Store Developed a Multiplicative Time-Series Model $\hat { Y }$