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Instruction 14-15
the Manager of a Health Fitness Club Has

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Instruction 14-15
The manager of a health fitness club has recorded average attendance in newly introduced Zumba classes over the last 15 months: 32.1,39.5,40.3,46.0,65.2,73.1,83.7,106.8,118.0,133.1,163.3,182.8,205.6,249.1,and 263.5.She then used Microsoft Excel to obtain the following partial output for both a first- and second-order autoregressive model.
SUMMARY OUTPUT - 2nd Order Model
Regression Statistics
 Multiple R 0.993 R Square 0.987 Adjusted R Square 0.985 Standard Error 9.276 Observations 15 \begin{array}{lr}\text { Multiple R } & 0.993 \\ \text { R Square } & 0.987 \\ \text { Adjusted R Square } & 0.985 \\ \text { Standard Error } & 9.276 \\ \text { Observations } & 15\end{array}

 Coefficients  Intercept 5.86 X Variable 1 0.37 X Variable 2 0.85\begin{array}{l}\text { Coefficients }\\\begin{array}{ll}\text { Intercept } & 5.86 \\\text { X Variable 1 } & 0.37 \\\text { X Variable 2 } & 0.85\end{array}\end{array}

SUMMARY OUTPUT - 1st  1^{\text {st }} Order Model
Regression Statistics
 Multiple R 0.993 R Square 0.987 Adjusted R Square 0.985 Standard Error 9.150 Observations 15 \begin{array}{lr}\text { Multiple R } & 0.993 \\ \text { R Square } & 0.987 \\ \text { Adjusted R Square } & 0.985 \\ \text { Standard Error } & 9.150 \\ \text { Observations } & 15\end{array}

 Coefficients  Intercept 5.66 X Variable 11.10\begin{array}{l}\text { Coefficients }\\\begin{array}{ll}\text { Intercept } & 5.66 \\\text { X Variable } 1 & 1.10\end{array}\end{array}
-Referring to Instruction 14-15,using the second-order model,the forecast of mean attendance for month 16 is ________.

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Definitions:

Respondeat Superior

A legal doctrine that holds an employer or principal legally responsible for wrongful actions taken by an employee or agent if such actions occur in the course of their employment or agency.

Unauthorized Acts

Unauthorized Acts are actions taken by an individual or entity that are not permitted or sanctioned by law, contract, or authority.

Agents

Individuals or entities authorized to act on behalf of another (the principal) in dealings with third parties.

Respondeat Superior

A legal doctrine holding employers or principals liable for the wrongful acts of their employees or agents, committed within the scope of their employment or authority.

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