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A Manager Wishes to Estimate an Average Cost Equation of the Following

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A manager wishes to estimate an average cost equation of the following form:
   A manager wishes to estimate an average cost equation of the following form:     where Q is the level of output. Letting Z = Q<sup>2</sup> and using least-squares estimation, the manager obtains the following computer output:    \begin{array} { | c l l l l l | }  \hline \text { DEPENDENT VARIABLE: } & \text { C } & \text { R-SQUARE } & \text { F-RATIO } & \text { P-VALUE ON F } \\ \text { OBSERVATIONS: } & 28 & 0.7679 & 26.47 & 0.0001 & \\  \text { VARIABLE }  & \begin{array} { l }  \text { PARAMETER } \\ \text { ESTIMATE } \end{array} & \begin{array} { l }  \text { STANDARD } \\ \text { ERROR } \end{array}& \text { T-RATIO } & \text { P-VALUE } \\ \text { INTERCEPT }&  200 & 38.00 & 5.26 & 0.0001 \\ \text { Q }   & - 12.00 & 4.36 & - 2.75 & 0.0111 \\  \text { Z } & 0.50 & 0.16 & 3.13 & 0.0046 \\ \hline \end{array}  -When output is 20 units, what is average cost? A)  $160 B)  $200 C)  $280 D)  $340 E)  $360
where Q is the level of output. Letting Z = Q2 and using least-squares estimation, the manager obtains the following computer output:

 DEPENDENT VARIABLE:  C  R-SQUARE  F-RATIO  P-VALUE ON F  OBSERVATIONS: 280.767926.470.0001 VARIABLE  PARAMETER  ESTIMATE  STANDARD  ERROR  T-RATIO  P-VALUE  INTERCEPT 20038.005.260.0001 Q 12.004.362.750.0111 Z 0.500.163.130.0046\begin{array} { | c l l l l l | } \hline \text { DEPENDENT VARIABLE: } & \text { C } & \text { R-SQUARE } & \text { F-RATIO } & \text { P-VALUE ON F } \\\text { OBSERVATIONS: } & 28 & 0.7679 & 26.47 & 0.0001 & \\ \text { VARIABLE } & \begin{array} { l } \text { PARAMETER } \\\text { ESTIMATE }\end{array} & \begin{array} { l } \text { STANDARD } \\\text { ERROR }\end{array}& \text { T-RATIO } & \text { P-VALUE } \\\text { INTERCEPT }& 200 & 38.00 & 5.26 & 0.0001 \\\text { Q } & - 12.00 & 4.36 & - 2.75 & 0.0111 \\ \text { Z } & 0.50 & 0.16 & 3.13 & 0.0046 \\\hline\end{array}
-When output is 20 units, what is average cost?


Definitions:

Government Spending

Expenditures made by the government in any given period, including on services, salaries, and infrastructure projects.

Economic Role

The functions and responsibilities that different entities (individuals, firms, governments) play in the economy.

Government

The governing body of a nation, state, or community which makes and enforces laws, policies, and regulations.

Interest Payments

The amount paid by a borrower to a lender as a charge for the use of borrowed money, typically expressed as an annual percentage of the principal.

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