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Refer to the Following:
a Consulting Firm Estimates the Following Qt=a+bt+cDQ _ { t } = a + b t + c D

question 60

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Refer to the following:
A consulting firm estimates the following quarterly sales forecasting model:
Qt=a+bt+cDQ _ { t } = a + b t + c D
The equation is estimated using quarterly data from 2003I-2013III (t = 1,..., 43) . The variable D is a dummy variable for the second quarter where:
D = 1 in the second quarter, and 0 otherwise.
The results of the estimation are:
 DEPENDENT VARIABLE:  QT  R-SQUARE  F-RATIO  P-VALUE ONF  OBSERVATIONS: 430.8644127.50.0001 VARIABLE  PARAMETER  STANDARD  ESTIMATE  ERROR  T-RATIO  P-VALUE  INTERCEPT 22.59.322.410.0201 T 1.860.553.380.0016 D 2.00.712.820.0075\begin{array}{rllll}\text { DEPENDENT VARIABLE: } & \text { QT } & \text { R-SQUARE } & \text { F-RATIO } & \text { P-VALUE ONF } \\\text { OBSERVATIONS: } & 43 & 0.8644 & 127.5 & 0.0001\\\\\text { VARIABLE } & \text { PARAMETER } & \text { STANDARD } & \\&\text { ESTIMATE } & \text { ERROR } & \text { T-RATIO } & \text { P-VALUE } \\\text { INTERCEPT } & 22.5 & 9.32 & 2.41 & 0.0201 \\\text { T } & 1.86 & 0.55 & 3.38 & 0.0016 \\\text { D } & 2.0 & 0.71 & 2.82 & 0.0075\end{array}
-Using the estimated trend line, what is the predicted level of sales in 2014I ?


Definitions:

Average Number

The central value of a set of numbers, calculated by dividing the sum of all numbers by the count of those numbers.

System

A set of interconnected components that work together to achieve a particular goal or perform a specific function.

Little's Law

A principle in queueing theory stating that, under steady state conditions, the long-term average number of customers in a stationary system is equal to the long-term average effective arrival rate multiplied by the average time a customer spends in the system.

Average Number

The average number represents the central value or the arithmetic mean obtained by dividing the sum of a set of numbers by the count of numbers in the set.

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