Instruction 14-6
a Local Store Developed a Multiplicative Time-Series Model $$\log _ { 10 } \hat { Y } = 6.102 + 0.012 X - 0.129 Q _ { 1 } - 0.054 Q _ { 2 } + 0.098 Q _ { 3 }$$

question 55

Short Answer

Instruction 14-6
A local store developed a multiplicative time-series model to forecast its revenues in future quarters, using quarterly data on its revenues during the four-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
$X$ 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 14-6,using the regression equation,what is the forecast for the revenues in the third quarter of 2003?

---

Definitions:

Goods Produced

The total quantity of physical items that are manufactured or processed by a company or economy within a specific time frame.

Law of Comparative Advantage

A principle that states that individuals, firms, regions, or nations can gain by specializing in the production of goods that they produce cheaply (at a low opportunity cost) and exchanging them for goods they cannot produce cheaply (at a high opportunity cost).

Labor-Intensive Commodities

Goods that require a higher proportion of labor in their production process compared to materials and capital.

Opportunity Cost

The value of the best alternative that must be forgone as a result of choosing a particular action or decision.