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- Under what conditions might a firm use multiple forecasting methods?The Baker Company wants to develop a budget to predict how overhead costs vary with activity levels. Management is trying to decide whether direct labor hours (DLH) or units produced is the better measure of activity for the firm. Monthly data for the preceding 24 months appear in the file P13_40.xlsx. Use regression analysis to determine which measure, DLH or Units (or both), should be used for the budget. How would the regression equation be used to obtain the budget for the firms overhead costs?The owner of a restaurant in Bloomington, Indiana, has recorded sales data for the past 19 years. He has also recorded data on potentially relevant variables. The data are listed in the file P13_17.xlsx. a. Estimate a simple regression equation involving annual sales (the dependent variable) and the size of the population residing within 10 miles of the restaurant (the explanatory variable). Interpret R-square for this regression. b. Add another explanatory variableannual advertising expendituresto the regression equation in part a. Estimate and interpret this expanded equation. How does the R-square value for this multiple regression equation compare to that of the simple regression equation estimated in part a? Explain any difference between the two R-square values. How can you use the adjusted R-squares for a comparison of the two equations? c. Add one more explanatory variable to the multiple regression equation estimated in part b. In particular, estimate and interpret the coefficients of a multiple regression equation that includes the previous years advertising expenditure. How does the inclusion of this third explanatory variable affect the R-square, compared to the corresponding values for the equation of part b? Explain any changes in this value. What does the adjusted R-square for the new equation tell you?
- A concert promoter is forecasting this year's attendance for one of his concerts based on the following historical data: Year Attendance Four Years ago 10,000 Three Years ago 12,000 Two Years ago 18,000 Last Year 20,000 What is this year's forecast using exponential smoothing with alpha = 0.2, if last year's smoothed forecast was 15,000?Sales of Volkswagen's popular Beetle have grown steadily at auto dealerships in Nevada during the past 5 years (see table below). Using exponential smoothing with a smoothing constant (a) of 0.30 and a starting forecast of 410.00, the following sales forecast has been developed: Forecasted Year Sales Sales 2005 450 410.00 2006 495 422.00 2007 518 443.90 2008 570 466.13 2009 585 497.29 The MAD for a forecast developed using exponential smoothing with a = 0.30 is 75.73 sales (round your response to two decimal places). Forecasted sales for years 2006 through 2010 using exponential smoothing with a = 0.60 and a starting forecast of 410.00 are (round your responses to two decimal places): Year 2005 2006 2007 2008 2009 2010 Forecasted Sales 410.00 434.00 470.60 499.04 541.62 567.65 The MAD for a forecast developed using exponential smoothing with a = 0.60 is sales (round your response to two decimal places).Professor Z needs to allocate time among several tasks next week to include time for students' appointments. Thus, he needs to forecast the number of students who will seek appointments. He has gathered the following data: Week Number of students6 Weeks ago 515 Weeks ago 794 Weeks ago 833 Weeks ago 892 Weeks ago 71Last Week 93 What is this week's forecast using exponential smoothing with alpha = 0.3 , if the forecast for two weeks ago was 77 ? a. 75.2 b. 78.8 c. 69.86 d. 80.54
- Sales of Volkswagen's popular Beetle have grown steadily at auto dealerships in Nevada during the past 5 years (see table below). Using exponential smoothing with a smoothing constant (a) of 0.30 and a starting forecast of 410.00, the following sales forecast has been developed: Forecasted Year Sales Sales 2005 450 410.00 2006 495 422.00 2007 518 443.90 2008 570 466.13 2009 585 497.29 The MAD for a forecast developed using exponential smoothing with a = 0.30 is 75.73 sales (round your response to two decimal places). Forecasted sales for years 2006 through 2010 using exponential smoothing with a = 0.60 and a starting forecast of 410.00 are (round your responses to two decimal places): Year 2005 2006 2007 2008 2009 2010 Forecasted Sales 410.00Data collected on the yearly registrations for a Six Sigma seminar at the Quality College are shown in the following table: 3 8 9 6 7 6 3 7 10 11 Year Year Forecast (000) 1 5 1 5 2 5 4 4 4 5 11 Registrations (000) Use exponential smoothing with a smoothing constant of 0.4 to forecast the registrations at the seminar for years 2 through 12. To begin the procedure, assume that the forecast for year 1 was 5,000 people signing up (round your responses to one decimal place): 2 3 5 6 7 8 10 16 9 11 12 10 D 11 12 a) What is the MAD? Mean absolute deviation based on the forecast developed using the exponential smoothing method (with a smoothing constant (x) = 0.4 and a starting forecast of F₁ = 5) is thousand registrations (round your response to one decimal place). b) What is the MSE? The mean squared error based on the forecast developed using the exponential smoothing method (with a smoothing constant (x) = 0.4 and a starting forecast of F₁ = 5) is (round your response to two decimal…Sales of Volkswagen's popular Beetle have grown steadily at auto dealerships in Nevada during the past 5 years (see table below). Using exponential smoothing with a smoothing constant (a) of 0.30 and a starting forecast of 415.00, the following sales forecast has been developed: Forecasted Year Sales Sales 2005 455 415.00 2006 510 427.00 2007 516 451.90 2008 570 471.13 2009 585 500.79 The MAD for a forecast developed using exponential smoothing with a = 0.30 is sales (round your response to two decimal places).
- Sales of Volkswagen's popular Beetle have grown steadily at auto dealerships in Nevada during the past 5 years (see table below). Using exponential smoothing with a smoothing constant (a) of 0.30 and a starting forecast of 415.00, the following sales forecast has been developed: Forecasted Year Sales Sales 2005 455 415.00 2006 510 427.00 2007 516 451.90 2008 570 471.13 2009 585 500.79 The MAD for a forecast developed using exponential smoothing with a = 0.30 is 74.04 sales (round your response to two decimal places). Forecasted sales for years 2006 through 2010 using exponential smoothing with a = 0.60 and a starting forecast of 415.00 are (round your responses to two decimal places): Year 2005 2006 2007 2008 2009 2010 Forecasted Sales 415.00 439 481.6 502.24 542.9 568.12 The MAD for a forecast developed using exponential smoothing with a = 0.60 is 51.05 sales (round your response to two decimal places). Forecasted sales for years 2006 through 2010 using exponential smoothing with a =…Professor Shethinks Shesverybusy needs to allocate time this week for office appointments, so she needs to forecast the number of students who will seek appointments. The professor has gathered the following time series data recently: Period Student Appointments 4 weeks ago 3 weeks ago 95 80 2 weeks ago 65 Last week 50 What would be this week's forecast for student appointments using exponential smoothing with alpha of 0.2, if the forecast for two weeks ago was 90? Oa. 52 b. 85 c. 78 d. 65 e. 50Tom Simpson, Director of the Chamber of Commerce for Exeter township is investigating the past ten years of tourist visits to the area. The following data has been gathered on number of tourists who signed into the local information center. Year Number of tourists 1 700 2 248 3 633 4 458 5 1410 6 1588 7 1629 8 1301 9 1455 10 1989 Tom is interested in implementing a forecasting system and is investigating the following forecasting methods as possibilities: calculate forecasts for Year 11 using the Regression method ( show formuals using excel)