Exam 11: Time Series Forecasting
Exam 1: Introduction to Modeling and Decision Analysis52 Questions
Exam 2: Introduction to Optimization and Linear Programming62 Questions
Exam 3: Modeling and Solving Lp Problems in a Spreadsheet88 Questions
Exam 4: Sensitivity Analysis and the Simplex Method72 Questions
Exam 5: Network Modeling72 Questions
Exam 6: Integer Linear Programming72 Questions
Exam 7: Goal Programming and Multiple Objective Optimization59 Questions
Exam 8: Nonlinear Programming and Evolutionary Optimization68 Questions
Exam 9: Regression Analysis76 Questions
Exam 10: Discriminant Analysis57 Questions
Exam 11: Time Series Forecasting111 Questions
Exam 12: Introduction to Simulation Using Risk Solver Platform65 Questions
Exam 13: Queuing Theory79 Questions
Exam 14: Decision Analysis102 Questions
Exam 15: Project Management Online61 Questions
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Which of the following statements are true regarding the difference between forecasts using exponential smoothing and forecasts using a weighted moving average method?
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Exhibit 11.7
The following questions use the data below.
Joe's Sporting Goods wants to forecast quarterly sales figures using Holt's method. The store has collected 12 quarters of data and needs your help to analyze the data.
A B 1 Time Actual Base Predicted 2 Year Qtr Period Sales Level Trend Sales 3 1 1 1 284 alpha 0.5 4 2 2 184 beta 0.5 5 3 3 365 287.0 14.0 209.0 6 4 4 492 396.5 61.8 301.0 7 2 1 5 485 471.6 68.4 458.3 8 2 6 277 408.5 2.7 540.1 9 3 7 606 508.6 51.4 411.2 10 4 8 722 641.0 91.9 560.0 11 3 1 9 763 747.9 99.4 732.9 12 2 10 593 720.2 35.8 847.3 13 3 11 912 834.0 74.8 756.0 14 4 12 1145 1026.9 133.9 908.8 15 16 31877.0
-Refer to Exhibit 11.7. What are predicted sales for time period 2 using the data in the spreadsheet?
(Multiple Choice)
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Project 11.2 Predicting Bowling Games
Dave Cummins runs a local bowling alley. In the face of increasing competition from other local establishments, Dave has decided he must upgrade his facilities to accommodate a younger crowd. He has examined various "cosmic bowling" upgrades for his facility and has finally decided on a package. Dave has approached a local bank for financing assistance. The bank is conservative in its lending practices. As a result the loan manager would like more insight into the potential earnings of the bowling alley, with and without the upgrades. You bowl in leagues in Dave's bowling alley. You enjoy the establishment and Dave is a friend. Thus, you have offered your services to help Dave provide a reasonable projection of establishment earnings based on bowling games. Dave has provided you the following information on lines of bowling over the past five years.
Year Quarter Lines of Bowling 1994 Summer 3829 Fall 3699 Winter 3555 Spring 3657 1995 Summer 3894 Fall 3778 Winter 3641 Spring 3731 1996 Summer 3987 Fall 3842 Winter 3731 Spring 3825 1997 Summer 4052 Fall 3934 Winter 3803 Spring 3892 1998 Summer 4148 Fall 4010 Winter 3880 Spring 3968 Information from the cosmic bowling upgrade manufacturer suggests a 3-5% increase in bowling lines every year for the first 4 years after the installation of their product. Based on Dave's data develop an appropriate forecasting model. Provide Dave forecasts for the next year both with and without the cosmic bowling upgrade.
(Essay)
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Exhibit 11.8
The following questions use the data below.
Joe's Sporting Goods wants to forecast quarterly sales figures using Winter's method. The store has collected 12 quarters of data and needs your help to analyze the data.
1 Time Actual Base Seasonal Predicted 2 Year Qtr Period Sales Level Trend Factor Sales 3 1 1 1 284 4 2 2 184 5 3 3 365 6 4 4 492 7 2 1 5 485 8 2 6 277 413.5 20.5 0.567 217.9 9 3 7 606 457.2 27.4 1.124 478.2 10 4 8 722 484.9 27.5 1.486 719.7 11 3 1 9 763 579.5 47.6 0.942 461.1 12 2 10 593 710.9 72.8 0.594 355.5 13 3 11 912 789.2 74.4 1.127 881.0 14 4 12 1145 845.0 68.8 1.473 1283.0 15 16 MSE 28,474.73 17 alpha 0.2 18 beta 0.3 19 gamma 0.1 20
-Refer to Exhibit 11.8. What formula should be entered in cell F7 to compute the Trend value for year 2 Quarter 1?
(Multiple Choice)
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Exhibit 11.1
The following questions use the data below.
Honest Al's Used Cars wants to predict how many cars are sold each month. He has collected data for 12 months. He needs your help in analyzing this data using moving averages.
A B C 1 Number of 4-Month 2 Time Period Cars Sold Moving Avg. 3 1 70 4 2 80 5 3 66 6 4 74 7 5 64 8 6 76 71.00 9 7 72 70.00 10 8 82 71.50 11 9 82 73.50 12 10 76 78.00 13 11 84 78.00 14 12 80 81.00 15 13 16 14 17 18 MSE 40.59
-Refer to Exhibit 11.1. What would be the forecasted values for time periods 13 and 14?
(Multiple Choice)
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Exhibit 11.20
The following questions use the data below.
A store wants to predict quarterly sales. The owner has collected 3 years of sales data and wants your help in analyzing the data using Holt's method.
A B C 1 Time Actual Base Predicted 2 Year Qtr Period Sales Level Trend Sales 3 1 1 1 368 368.0 0.0 alpha 0.4 4 2 2 168 288.0 -48.0 368.0 beta 0.6 5 3 3 530 356.0 21.6 240.0 6 4 4 784 540.2 119.1 377.6 7 2 1 5 770 703.6 145.7 659.3 8 2 6 354 651.2 26.8 849.3 9 3 7 1012 811.6 107.0 678.0 10 4 8 1244 1048.8 185.1 918.6 11 3 1 9 1326 1270.7 207.2 1233.9 12 2 10 986 1281.2 89.1 1477.9 13 3 11 1624 1471.8 150.0 1370.3 14 4 12 2090 1809.1 262.4 1621.8 15 16 MSE 30469.5
-Refer to Exhibit 11.20. The store wishes to use Solver to find the optimal values for cell E3. Provide the following Risk Solver Platform (RSP) settings.
Objective Cell:
Variables Cells:
Constraints Cells:
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Exhibit 11.13
The following questions use the data below.
The owner of Tim's Toys wants to predict monthly sales. He has collected data for 12 months. He needs your help in analyzing this data using moving averages.
A B C 1 Number of 4-Month 2 Time Period Toys Sold Moving Avg 3 1 174 4 2 189 5 3 168 6 4 180 7 5 165 177.75 8 6 183 175.50 9 7 177 174.00 10 8 192 176.25 11 9 192 179.25 12 10 183 186.00 13 11 195 186.00 14 12 189 190.50 15 16 91.34
-Refer to Exhibit 11.13. What formulas go into cells B7:B9 of the following partial spreadsheet where data for periods 9-12 represent actual data?
(Essay)
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Which of the following describes an additive seasonal effect in times series data?
(Multiple Choice)
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The general form of an extrapolation model for time-series analysis is
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Exhibit 11.19
The following questions use the data below.
A store wants to predict quarterly sales. The owner has collected 3 years of sales data and wants your help in analyzing the data using the double moving average method.
-Refer to Exhibit 11.19. What are the forecasts for time periods 13-16?

(Essay)
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Exhibit 11.6
The following questions use the data below.
A store wants to predict quarterly sales. The owner has collected 3 years of sales data and wants your help in analyzing the data using the double moving average model with k = 4.
-Refer to Exhibit 11.6. What formula should be entered in cell H9 to compute the trend using the double moving average model with k = 4?

(Multiple Choice)
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Exhibit 11.23
The following questions use the data below.
A store wants to predict quarterly sales. The owner has collected 3 years of sales data and wants your help in analyzing the data. He wants to use a quadratic trend model to forecast sales.
Regression Statistics Coefficients Intercept 56.29 X Variable 1 3.59 X Variable 2 0.08
A B C D E F 1 Time Actual Quadratic 2 Year Qtr Period Time 2 Sales Trend 3 1 1 1 1 55.2 60.0 4 2 2 4 60.0 63.8 5 3 3 9 86.4 67.8 6 4 4 16 74.4 71.9 7 2 1 5 25 62.4 76.2 8 2 6 36 67.2 80.7 9 3 7 49 115.2 85.3 10 4 8 64 86.4 90.1 11 3 1 9 81 74.4 95.1 12 2 10 100 100.8 100.2 13 3 11 121 127.2 105.5 14 4 12 144 103.2 110.9 15 13 169 116.5
-Refer to Exhibit 11.23. Based on the regression output, what formulas should go in cells D3:F14?
(Essay)
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Exhibit 11.4
The following questions use the data below.
Joe's Sporting Goods wants to forecast quarterly sales figures using the additive seasonal method. The store has collected 12 quarters of data and needs your help to analyze the data.
-Refer to Exhibit 11.4. What formula should be entered in cell G12 to compute the forecast for time period 10?

(Multiple Choice)
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Exhibit 11.1
The following questions use the data below.
Honest Al's Used Cars wants to predict how many cars are sold each month. He has collected data for 12 months. He needs your help in analyzing this data using moving averages.
A B C 1 Number of 4-Month 2 Time Period Cars Sold Moving Avg. 3 1 70 4 2 80 5 3 66 6 4 74 7 5 64 8 6 76 71.00 9 7 72 70.00 10 8 82 71.50 11 9 82 73.50 12 10 76 78.00 13 11 84 78.00 14 12 80 81.00 15 13 16 14 17 18 MSE 40.59
-Refer to Exhibit 11.1. What is the 4-month moving average forecast for month 5?
(Multiple Choice)
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Exhibit 11.1
The following questions use the data below.
Honest Al's Used Cars wants to predict how many cars are sold each month. He has collected data for 12 months. He needs your help in analyzing this data using moving averages.
A B C 1 Number of 4-Month 2 Time Period Cars Sold Moving Avg. 3 1 70 4 2 80 5 3 66 6 4 74 7 5 64 8 6 76 71.00 9 7 72 70.00 10 8 82 71.50 11 9 82 73.50 12 10 76 78.00 13 11 84 78.00 14 12 80 81.00 15 13 16 14 17 18 MSE 40.59
-Refer to Exhibit 11.1. If predicting the cars sold for time period 14, what formula must be placed in cell B16?
(Multiple Choice)
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Exhibit 11.12
The following questions use the data below.
Joe's Sporting Goods wants to forecast quarterly sales figures using a seasonal regression model. The store has collected 12 quarters of data and needs your help to analyze the data. The relevant regression output is provided in the following table.
Regression Statistics Coefficients Intercept 388.88 X Variable 1 10.052 X Variable 2 4.248 X Variable 3 -79.917 X Variable 4 -296.008 X Variable 5 -84.924
-Refer to Exhibit 11.12. What formula should be entered in cell I3 to compute the Seasonal Value for year 1 Quarter 1?

(Multiple Choice)
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Exhibit 11.25
The following questions use the data below.
A store wants to predict quarterly sales. The owner has collected 3 years of sales data and wants your help in analyzing the data. He wants to use a seasonal regression model to forecast sales.
Regression Statistics Coefficients Intercept 60.42 X Variable 1 1.91 X Variable 2 0.16 X Variable 3 -11.85 X Variable 4 -3.57 X Variable 5 25.98
-Refer to Exhibit 11.25. Based on the regression output what formulas should go in cells D3:I14?

(Essay)
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Exhibit 11.12
The following questions use the data below.
Joe's Sporting Goods wants to forecast quarterly sales figures using a seasonal regression model. The store has collected 12 quarters of data and needs your help to analyze the data. The relevant regression output is provided in the following table.
Regression Statistics Coefficients Intercept 388.88 X Variable 1 10.052 X Variable 2 4.248 X Variable 3 -79.917 X Variable 4 -296.008 X Variable 5 -84.924
-Refer to Exhibit 11.12. What are predicted sales for the first quarter of year 4?

(Multiple Choice)
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Exhibit 11.9
The following questions use the data below.
Joe's Sporting Goods wants to forecast quarterly sales figures using a linear trend model. The store has collected 12 quarters of data and needs your help to analyze the data. The relevant regression output is in the following table.
Rogression Stafisties Caffieients Interegt 114.136 Variable A B C D E 1 Time Actual Linear 2 Year Qtr Period Sales Trend 3 1 1 1 284 4 2 2 184 254.1 5 3 3 365 324.1 6 4 4 492 394.1 7 2 1 5 485 464.0 8 2 6 277 534.0 9 3 7 606 604.0 10 4 8 722 674.0 11 3 1 9 763 743.9 12 2 10 593 813.9 13 3 11 912 883.9 14 4 12 1145 953.9
-Refer to Exhibit 11.9. Which column in the spreadsheet represents the independent variable for a regression model?
(Multiple Choice)
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