Instruction 14-5
a Local Store Developed a Multiplicative Time-Series Model $\hat { Y }$

question 160

Multiple Choice

Instruction 14-5
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:
log 10 $\hat { Y }$ = 6.102 + 0.012 X - 0.129 Q₁ - 0.054 Q₂ + 0.098 Q₃
Where
$\hat { Y }$ 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 Instruction 14-5,the best interpretation of the coefficient of X (0.012) in the regression equation is

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

---

Definitions:

Federal Poverty Level

A measure of income issued annually by the Department of Health and Human Services used to determine eligibility for various federal and state assistance programs.

EIC

The Earned Income Credit (EIC) is a tax credit for low-to-moderate-income working individuals and families, particularly those with children.

Qualifying Child

A dependent who meets specific IRS criteria, making the taxpayer eligible for certain tax benefits.

Eligible Foster Child

A child placed in an individual's home by an authorized placement agency or by judgment, decree, or other order of any court of competent jurisdiction.