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

Question 45

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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