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Mathematics, 03.04.2020 23:05 panpanriser76

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 that time, 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. Table 6.17 shows the value of food and beverage sales ($1000s) for the first three years of operation. Month Sales

Month Sales
1 242
2 235
3 232
4 178
5 184
6 140
7 145
8 152
9 110
10 130
11 152
12 206
13 263
14 238
15 247
16 193
17 193
18 149
19 157
20 161
21 122
22 130
23 167
24 230
25 282
26 255
27 265
28 205
29 210
30 160
31 166
32 174
33 126
34 148
35 173
36 235
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:

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

2.Using the dummy variable approach, forecast sales for January through December of the fourth year. 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 in the forecasting procedure?

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