The Vintage Restaurant, on Captiva Island near Fort Myers, Florida, is owned and operated by Karen Payne
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The Vintage Restaurant, on Captiva Island near Fort Myers, Florida, is owned and operated by Karen Payne

Case Study 4

The Vintage Restaurant, on Captiva Island near Fort Myers, Florida, is owned and operated by Karen Payne. The restaurant just completed its third year of operation. During those three years, Karen sought to establish a reputation for the restaurant as a high-quality dining establishment that specializes in fresh seafood. Through the efforts of Karen and her staff, her restaurant has become one of the best and fastest-growing restaurants on the Island.

To better plan for future growth of the restaurant, Karen needs to develop a system that will enable her to forecast food and beverage sales by month for up to one year in advance. The following table shows the value of food and beverage sales ($1,000s) for the first three years of operation:

Month

January February March April May June July August September October November December

Your Tasks:

First Year

242
235
232
178
184
140
145
152
110
130
152
206

Second Year

263
238
247
193
193
149
157
161
122
130
167
230

Third Year

282
255
265
205
210
160
166
174
126
148
173
235

Perform an analysis of the sales data for the Vintage Restaurant. Prepare a report for Karen that summarizes your findings, forecasts, and recommendations. Include the following:

a. A time series plot. Comment on the underlying pattern in the time series.

b. Using the dummy variable approach, forecast sales for January through December of the fourth year. How would you explain this model to Karen?

4 c. Assume that January sales for the fourth year turn out to be $295,000. What was your forecast error? If this error is large, Karen may be puzzled about the difference between your forecast and the actual sales value. What can you do to resolve her uncertainty about the forecasting procedure?

Hint
ComputerTime series plot is a univariate plot that only indicates one variable. It has two dimensions where one axis, the time axis, indicates graduations at appropriate period such as seconds, minutes, hours, days, or weeks, and the other axis that only indicates numeric values. It demonstrates data points at successive intervals in time where each point indicates a specific time with quantity me...

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