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TABLE 16-12 A Local Store Developed a Multiplicative Time-Series Model to Forecast

question 95

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TABLE 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 4-year period from 2005 to 2009. The following is the resulting regression equation:
log₁₀ TABLE 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 4-year period from 2005 to 2009. The following is the resulting regression equation: log₁₀   = 6.102 + 0.012 X - 0.129 Q₁ - 0.054 Q₂ + 0.098 Q₃ where   is the estimated number of contracts in a quarter. X is the coded quarterly value with X = 0 in the first quarter of 2005. 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 16-12, to obtain a forecast for the third quarter of 2010 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 = 0 B)  X = 22, Q₁ = 0, Q₂ = 0, Q₃ = 1 C)  X = 23, Q₁ = 0, Q₂ = 0, Q₃ = 0 D)  X = 23, Q₁ = 0, Q₂ = 0, Q₃ = 1 = 6.102 + 0.012 X - 0.129 Q₁ - 0.054 Q₂ + 0.098 Q₃
where TABLE 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 4-year period from 2005 to 2009. The following is the resulting regression equation: log₁₀   = 6.102 + 0.012 X - 0.129 Q₁ - 0.054 Q₂ + 0.098 Q₃ where   is the estimated number of contracts in a quarter. X is the coded quarterly value with X = 0 in the first quarter of 2005. 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 16-12, to obtain a forecast for the third quarter of 2010 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 = 0 B)  X = 22, Q₁ = 0, Q₂ = 0, Q₃ = 1 C)  X = 23, Q₁ = 0, Q₂ = 0, Q₃ = 0 D)  X = 23, Q₁ = 0, Q₂ = 0, Q₃ = 1 is the estimated number of contracts in a quarter.
X is the coded quarterly value with X = 0 in the first quarter of 2005.
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 16-12, to obtain a forecast for the third quarter of 2010 using the model, which of the following sets of values should be used in the regression equation?


Definitions:

M1

A category of the money supply that includes all physical currency, demand deposits, traveler's checks, and other checkable deposits.

U.S. Treasury

The federal department responsible for managing government revenue, including producing currency, managing national accounts, and administering public finance.

Currency

A system of money in general use in a particular country for the exchange of goods and services.

Federal Reserve

The Federal Reserve, often referred to as "the Fed," is the central banking system of the United States, responsible for setting monetary policy, regulating banks, maintaining financial stability, and providing banking services to governmental agencies.

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