Question 1

Examine the time series provided in Excel #1a-c to identify the components present (trend, cyclical, seasonal, and/or irregular), with an indication of whether the component seems strong, moderate, or weak. Provide a brief explanation to support your conclusions.

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Question 2

Explain and contrast the four measures of forecast accuracy.

Question 3

The average SAT verbal score for students from one high school over the last ten exams is 508, 490, 502, 505, 493, 506, 492, 490, 503, 501

Do the scores support an increasing or a decreasing trend? Explain.

Question 4

The number of properties newly listed with a real estate agency in each quarter over the last four years is given below. Assume the time series has seasonality without trend.

Year |
||||

Quarter |
1 |
2 |
3 |
4 |

1 |
73 |
81 |
76 |
77 |

2 |
89 |
87 |
91 |
88 |

3 |
123 |
115 |
108 |
120 |

4 |
92 |
95 |
87 |
97 |

a. Develop the estimated regression equation that minimize the sum of squared error (highest R^2).

.

b. Evaluate the accuracy of that estimated regression equation against known data.

c. Forecast the four quarters of Year 5.

Question 5

A 24-hour coffee/donut shop makes donuts every eight hours. The manager must forecast donut demand so that the bakers have the fresh ingredients they need. Tab #5 contains the actual number of glazed donuts (in dozens) sold in each of the preceding 13 eight-hour shifts. Forecast the demand for glazed donuts for the Day, Evening, and Night shifts of June 8.

Question 6

Quarterly revenues (in $1,000,000’s) for a national restaurant chain for a five-year period are shown in Tab #6 of the Excel file. Forecast the four quarters of year 6.

Question 7

Business at Terry’s Tie Shop can be viewed as falling into three distinct seasons: (1) Christmas (November-December); (2) Father’s Day (late May – mid-June); and (3) all other times. Average weekly sales (in $’s) during each of these three seasons during the past four years is shown in Tab #7 of the Excel file. Forecast sales for the next year.

Question 8

Coyote Cable has been experiencing an increase in cable service subscribers over the last few years due to increased advertising and an influx of new residents to the region. The number of subscribers (in 1000’s) for the last 16 months are shown in Tab #8 of the Excel file. Forecast subscription rates for months 17, 18, 19, 20.

Question 9

Weekly sales of the Weber Dicamatic food processor for the past ten weeks are shown in Tab #9 of the Excel file

a. Determine, on the basis of minimizing the mean square error, select the most appropriate moving average model to use.

b. Forecast sales for week 11 using the model selected in a.

Question 10

Connie Harris, in charge of office supplies at First Capital Mortgage Corp., would like to predict the quantity of paper used in the office photocopying machines per month. She believes that the number of loans originated in a month influence the volume of photocopying performed. She has compiled the following recent monthly data:

Number of Loans Originated |
Sheets of Photocopy Paper Used (000s) |

25 |
16 |

25 |
13 |

35 |
18 |

40 |
25 |

40 |
21 |

45 |
22 |

50 |
24 |

60 |
25 |

a. Develop the regression equation that relates sheets of photocopy paper used to loans originated.

b. Use the regression equation developed in part (a) to forecast the amount of paper used in a month when 70 loan originations are expected.