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Instruction 14-4
a Contractor Developed a Multiplicative Time-Series Model to Forecast

question 8

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Instruction 14-4
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 2008 to 2010.The following is the resulting regression equation:
log10Y^=3.37+0.117X0.083Q1+1.28Q2+0.617Q3\log _ { 10 } \hat { Y } = 3.37 + 0.117 X - 0.083 Q _ { 1 } + 1.28 Q _ { 2 } + 0.617 Q _ { 3 }
Where
Y^\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 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.
Q3 is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise.
-Referring to Instruction 14-4,in testing the coefficient for Q1 in the regression equation (-0.083) ,the results were a t-statistic of -0.66 and an associated p-value of 0.530.Which of the following is the best interpretation of this result?


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