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

Question 48

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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}  -Which of the parameter estimates are statistically significant at the 1% significance level? A)  All the parameter estimates are statistically significant. B)  All parameter estimates except  \hat { b }  are statistically significant. C)   \hat { a }  is not statistically significant, but all the rest of the parameter estimates are significant. D)   \hat { c }  is not statistically significant, but all the rest of the parameter estimates are significant.
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}
-Which of the parameter estimates are statistically significant at the 1% significance level?


A) All the parameter estimates are statistically significant.
B) All parameter estimates except b^\hat { b } are statistically significant.
C) a^\hat { a } is not statistically significant, but all the rest of the parameter estimates are significant.
D) c^\hat { c } is not statistically significant, but all the rest of the parameter estimates are significant.

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