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SCENARIO 16-12
a Local Store Developed a Multiplicative Time-Series Model log10Y^=6.102+0.012X0.129Q10.054Q2+0.098Q3\log _ { 10 } \hat { Y } = 6.102 + 0.012 X - 0.129 Q _ { 1 } - 0.054 Q _ { 2 } + 0.098 Q _ { 3 }

question 143

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SCENARIO 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 2009 to 2013. The
following is the resulting regression equation: log10Y^=6.102+0.012X0.129Q10.054Q2+0.098Q3\log _ { 10 } \hat { Y } = 6.102 + 0.012 X - 0.129 Q _ { 1 } - 0.054 Q _ { 2 } + 0.098 Q _ { 3 }
where Y^\hat { Y } is the estimated number of contracts in a quarter
XX is the coded quarterly value with X=0X = 0 in the first quarter of 2008 .
Q1Q _ { 1 } is a dummy variable equal to 1 in the first quarter of a year and 0 otherwise.
Q2Q _ { 2 } is a dummy variable equal to 1 in the second quarter of a year and 0 otherwise.
Q3Q _ { 3 } is a dummy variable equal to 1 in the third quarter of a year and 0 otherwise.
-Referring to Scenario 16-12, to obtain a forecast for the third quarter of 2014 using the model, which of the following sets of values should be used in the regression equation? a) X=22,Q1=0,Q2=0,Q3=0X = 22 , Q _ { 1 } = 0 , Q _ { 2 } = 0 , Q _ { 3 } = 0
b) X=22,Q1=0,Q2=0,Q3=1X = 22 , Q _ { 1 } = 0 , Q _ { 2 } = 0 , Q _ { 3 } = 1
c) X=23,Q1=0,Q2=0,Q3=0X = 23 , Q _ { 1 } = 0 , Q _ { 2 } = 0 , Q _ { 3 } = 0
d) X=23,Q1=0,Q2=0,Q3=1X = 23 , Q _ { 1 } = 0 , Q _ { 2 } = 0 , Q _ { 3 } = 1

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