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TABLE 16-12
the Manager of a Health Club Has Recorded

question 110

Short Answer

TABLE 16-12
The manager of a health club has recorded average attendance in newly introduced step 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} { l r } \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 XVariable 1 0.37X Variable 2 0.85\begin{array}{ll}&\text { Coefficients }\\\text { Intercept } & 5.86 \\\text { XVariable 1 } & 0.37 \\X \text { Variable 2 } & 0.85\end{array} SUMMARY OUTPUT - 1st  Order\text {SUMMARY OUTPUT - \(1 ^ { \text {st } }\) Order}
Model Regression Statistic s\text {Model Regression Statistic s}

 Multiple R 0.993 R Square 0.987 Adjusted R Square 0.985 Standard Error 9.150 Observations 15CoefficientsIntercept 5.66XVariable 1.10\begin{array} { l r } \text { Multiple R } & 0.993 \\ \text { R Square } & 0.987 \\ \text { Adjusted R Square } & 0.985 \\ \text { Standard Error } & 9.150 \\ \text { Observations } & 15\\\\&\text {Coefficients}\\\text {Intercept }& 5.66\\\text {XVariable }&1.10 \end{array}

-Referring to Table 16-12, using the first-order model, the forecast of average attendance for month 17 is ______.

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Definitions:

Utility Function

A mathematical representation that ranks consumer preferences over a set of goods or services, often leading to an optimal choice.

Consumption

The usage of goods and services by households or individuals, forming a major component of aggregate demand in an economy.

Income

Income refers to the money received by an individual or entity, typically in the form of wages, salaries, or returns from investments, over a specified period of time.

Interest Rate

The amount charged, expressed as a percentage of principal, by a lender to a borrower for the use of assets.

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