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

question 5

Multiple Choice

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, the best interpretation of the coefficient of X (0.012) in the regression equation is

• A) the quarterly compound growth rate in revenues is around 2.8%.
• B) the annual growth rate in revenues is around 2.8%.
• C) the quarterly growth rate in revenues is around 1.2%.
• D) the annual growth rate in revenues is around 1.2%.

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Definitions:

Price Elasticity

A measure of how much the quantity demanded of a good responds to a change in its price, influencing consumer behavior and market dynamics.

Unity

The state of being united or joined as a whole, often used to denote a sense of togetherness or harmony.

Total Revenue

The total amount of money received by a company for goods sold or services provided during a certain time period.

Total Revenue

The total amount of money earned by a firm from the sale of its products or services before any costs or expenses are subtracted.