Refer to the Following:
a Forecaster Used the Regression Equation $Q _ { t } = a + b t + c _ { 1 } D _ { 1 } + c _ { 2 } D _ { 2 } + c _ { 3 } D _ { 3 }$

question 44

Multiple Choice

Refer to the following:
A forecaster used the regression equation
$Q _ { t } = a + b t + c _ { 1 } D _ { 1 } + c _ { 2 } D _ { 2 } + c _ { 3 } D _ { 3 }$
and quarterly sales data for 1996I-2013IV (t = 1, ..., 64) for an appliance manufacturer to obtain the results shown below. Q is quarterly sales, and
$D _ { 1 } , D _ { 2 }$ and
$D _ { 3 }$ are dummy variables for quarters I, II, and III.
$$\begin{array} { | l l l l l l } \hline \text { DEPENDENTVARIAELE: } & \text { aT } & \text { R-SQUARE } & \text { F-RATIO } & \text { P-VALUE ON F } \\\text { OESERVATIONS: } & 64 & \text { 0.8768 } & 107.982 & 0.0001 & \\& & \text { PARAMETER } & \text { STANDARD } & & \\\text { VARIAELE } & & \text { ESTIMATE } & \text { ERROR } & \text { T-RATIO } & \text { P-VALUE } \\\text { INTERCEPT } & & 30.0 & 12.8 & 2.34 & 0.0224 \\\text { T } & & 1.5 & 0.70 & 2.14 & 0.0362 \\\text { D1 } & & 10.0 & 3.0 & 3.33 & 0.0015 \\\text { D2 } & & 25.0 & 7.2 & 3.47 & 0.0010 \\\text { D3 } & & 40.0 & 15.8 & 2.53 & 0.0140 \\\hline\end{array}$$
-The estimated QUARTERLY increase in sales is ______ units, and the estimated ANNUAL increase in sales is ______ units.

• A) 1.5; 6
• B) 1.4; 4
• C) 30; 4
• D) 1.5; 40
• E) none of the above

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Definitions:

Equestrian Statue

A statue representing a figure, typically historical or legendary, riding a horse, symbolizing leadership and valor.

Gattamelata

A renowned bronze equestrian statue created by the sculptor Donatello, depicting the condottiero Erasmo da Narni.

Or San Michele

A church and former grain market in Florence, Italy, noted for its architecture and the statues of saints by various artists adorning its exterior.

Donatello

An influential Italian sculptor of the Renaissance, known for his work in bas-relief and his statues expressing realism and emotion.