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

question 46

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, to obtain a fitted value for the fourth quarter of 2006 using the model, which of the following sets of values should be used in the regression equation?

• A) X = 7, Q₁ = 0, Q₂ = 0, Q₃ = 0
• B) X = 7, Q₁ = 1, Q₂ = 0, Q₃ = 0
• C) X = 8, Q₁ = 0, Q₂ = 0, Q₃ = 0
• D) X = 8, Q₁ = 1, Q₂ = 0, Q₃ = 0

---

Definitions:

Dividends

Payments made by a corporation to its shareholder members, usually derived from profits.

Accounts Receivable

Amounts due from customers for merchandise or services rendered by a corporation, still awaiting payment.

Utilities Expense

Costs incurred by a business for basic utilities such as water, electricity, gas, and sewage services.

Services Provided

Services provided refer to the performance of non-tangible tasks or activities by a company for its clients or customers, as opposed to selling physical products.