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SCENARIO 16-14 a Contractor Developed a Multiplicative Time-Series Model to Forecast the Forecast

Question 20

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SCENARIO 16-14
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 2011 to 2013.The following is the resulting regression equation:
ln Yˆ = 3.37 + 0.117 X - 0.083 Q1 + 1.28 Q2 + 0.617 Q3
where
Yˆ is the estimated number of contracts in a quarter.
X is the coded quarterly value with X = 0 in the first quarter of 2011.
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 Scenario 16-14,in testing the coefficient of X in the regression equation (0.117) the results were a t-statistic of 9.08 and an associated p-value of 0.0000.Which of the following is the best interpretation of this result?


A) The quarterly growth rate in the number of contracts is significantly different from 0% ( α = 0.05) .
B) The quarterly growth rate in the number of contracts is not significantly different from 0% ( α = 0.05) .
C) The quarterly growth rate in the number of contracts is significantly different from 100% ( α = 0.05) .
D) The quarterly growth rate in the number of contracts is not significantly different from 100% ( α = 0.05) .

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