Exam 11: Time Series Forecasting

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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. Regrassion Satisties Coefficients Intercept 114.136 X Variable 69.979 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.What is the Input X Range in the Regression command settings dialog box?

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Exhibit 11.3 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 exponential smoothing. A C D E 1 Number of Exp Smoothing 2 Time Period Cars Sold Prediction 3 1 70 70.00 alpha 0.346 4 2 80 70.00 5 3 66 73.46 6 4 74 70.88 7 5 64 71.96 8 6 76 69.20 9 7 72 71.56 10 8 82 71.71 11 9 82 75.27 12 10 76 77.60 13 11 84 77.05 14 12 80 79.45 15 16 MSE 39.79 -Refer to Exhibit 11.3.What is the exponential smoothing forecast for month 2?

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Exhibit 11.3 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 exponential smoothing. A C D E 1 Number of Exp Smoothing 2 Time Period Cars Sold Prediction 3 1 70 70.00 alpha 0.346 4 2 80 70.00 5 3 66 73.46 6 4 74 70.88 7 5 64 71.96 8 6 76 69.20 9 7 72 71.56 10 8 82 71.71 11 9 82 75.27 12 10 76 77.60 13 11 84 77.05 14 12 80 79.45 15 16 MSE 39.79 -Refer to Exhibit 11.3.Assume the forecasted value for month 13 is 79.64.What is the forecasted value for month 16?

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Exhibit 11.11 The following questions use the data below. Joe's Sporting Goods wants to forecast quarterly sales figures using seasonal indices.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. Regression Statistics Coefficients Intercept 263.4545 X Variable 1 5.985514 X Variable 2 4.922577  Exhibit 11.11 The following questions use the data below. Joe's Sporting Goods wants to forecast quarterly sales figures using seasonal indices.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.   \begin{array}{|c|r|} \hline \begin{array}{l} \text { Regression } \\ \text { Statistics } \end{array} & \\ \hline & \text { Coefficients } \\ \hline \text { Intercept } & 263.4545 \\ \hline \text { X Variable 1 } & 5.985514 \\ \hline \text { X Variable 2 } & 4.922577 \\ \hline \end{array}     -Refer to Exhibit 11.11.What formula should be entered in cell H3 to compute the Seasonal Forecast value for year 1 Quarter 1? -Refer to Exhibit 11.11.What formula should be entered in cell H3 to compute the Seasonal Forecast value for year 1 Quarter 1?

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Assume that seasonality exists in the monthly product sales data.The number of seasonal indexes needed to model this is equal to

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Exhibit 11.3 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 exponential smoothing. A C D E 1 Number of Exp Smoothing 2 Time Period Cars Sold Prediction 3 1 70 70.00 alpha 0.346 4 2 80 70.00 5 3 66 73.46 6 4 74 70.88 7 5 64 71.96 8 6 76 69.20 9 7 72 71.56 10 8 82 71.71 11 9 82 75.27 12 10 76 77.60 13 11 84 77.05 14 12 80 79.45 15 16 MSE 39.79 -Refer to Exhibit 11.3.What formula should be entered in cell C4 to compute the exponential smoothing forecast for month 2?

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Exhibit 11.3 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 exponential smoothing. A C D E 1 Number of Exp Smoothing 2 Time Period Cars Sold Prediction 3 1 70 70.00 alpha 0.346 4 2 80 70.00 5 3 66 73.46 6 4 74 70.88 7 5 64 71.96 8 6 76 69.20 9 7 72 71.56 10 8 82 71.71 11 9 82 75.27 12 10 76 77.60 13 11 84 77.05 14 12 80 79.45 15 16 MSE 39.79 -Refer to Exhibit 11.3.What is the exponential smoothing forecast for month 13?

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As the number of periods in the forecast,k,increases

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Seasonality is defined as

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Exhibit 11.2 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 weighted moving averages. A B C D E F 1 Number of 2-Month Weighted 2 Time Period Cars Sold Moving Avg. Weights 3 1 70 w1 0.244 4 2 80 w2 0.756 5 3 66 sum 1.000 6 4 74 76.59 7 5 64 67.95 8 6 76 71.56 9 7 72 66.93 10 8 82 75.02 11 9 82 74.44 12 10 76 82.00 13 11 84 80.54 14 12 80 77.95 15 16 MSE 26.72 -Refer to Exhibit 11.2.What is the 2-month weighted moving average forecast for month 3 using the weight in the spreadsheet? Associate weight w1 with sales in time period 2 and w2 with sales in time period 1.

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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. 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.    -Refer to Exhibit 11.8.What formula should be entered in cell G3 to compute the seasonal factor for year 1 Quarter 1? -Refer to Exhibit 11.8.What formula should be entered in cell G3 to compute the seasonal factor for year 1 Quarter 1?

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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 Ave 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 7.00 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 formula should be entered in cell C13 to compute the 4-month moving average forecast for month 11?

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Exhibit 11.10 The following questions use the data below. Joe's Sporting Goods wants to forecast quarterly sales figures using a quadratic 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. Regression Statistics Coefficients Intercept 263.4545 X Variable 1 5.985514 X Variable 2 4.922577 A B C D E F 1 Time Actual Quadratic 2 Year Qtr Period 2 Sales Trend 3 1 1 1 1 284 4 2 2 4 184 295.1 5 3 3 9 365 325.7 6 4 4 16 492 366.2 7 2 1 5 25 485 416.4 8 2 6 36 277 476.6 9 3 7 49 606 546.6 10 4 8 64 722 626.4 11 3 1 9 81 763 716.1 12 2 10 100 593 815.6 13 3 11 121 912 924.9 14 4 12 144 1145 1044.1 -Refer to Exhibit 11.10.What Excel command can be used in cells F4:F14 in lieu of a formula based on the regression statistics?

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Which of the following is the common approach to time-series analysis?

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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. 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.    -Refer to Exhibit 11.7.What are predicted sales for time period 2 using the data in the spreadsheet? -Refer to Exhibit 11.7.What are predicted sales for time period 2 using the data in the spreadsheet?

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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. 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.    -Refer to Exhibit 11.7.What formula should be entered in cell E4 to compute the base level when using Holt's method? -Refer to Exhibit 11.7.What formula should be entered in cell E4 to compute the base level when using Holt's method?

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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. 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 I16 to compute the forecast for time period 14? -Refer to Exhibit 11.6.What formula should be entered in cell I16 to compute the forecast for time period 14?

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As alpha increases the exponential smoothing model

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Forecasting into distant future periods

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Exhibit 11.5 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 multiplicative seasonal effects model. Exhibit 11.5 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 multiplicative seasonal effects model.    -Refer to Exhibit 11.5.What formula should be entered in cell E7 to compute the remaining expected levels? -Refer to Exhibit 11.5.What formula should be entered in cell E7 to compute the remaining expected levels?

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