15. The Vision Hospital is considering the purchase of a new Advance Scan machine. The decision will rest partly on the anticipate patients in the coming months. The numbers of patents during the past years are as follows: Year Number of patents(Actual) 1600 2200 2600 2800 2016 2017 2018 2019 2020 3100 Compute the forecast for the year 2021 using exponential smoothing with a forecast for the year 2016 of 1500 and a = 3
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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?
- The file P13_42.xlsx contains monthly data on consumer revolving credit (in millions of dollars) through credit unions. a. Use these data to forecast consumer revolving credit through credit unions for the next 12 months. Do it in two ways. First, fit an exponential trend to the series. Second, use Holts method with optimized smoothing constants. b. Which of these two methods appears to provide the best forecasts? Answer by comparing their MAPE values.The following table gives the number of pints of type A blood used at Damascus Hospital in the past 6 weeks: Week Of Pints Used August 31 September 7 September 14 September 21 September 28 345 372 408 383 368 October 5 378 a) The forecasted demand for the week of October 12 using a 3-week moving average = 376.33 pints (round your response to two decimal places). b) Using a 3-week weighted moving average, with weights of 0.15, 0.25, and 0.60, using 0.60 for the most recent week, the forecasted demand for the week of October 12 = 376.25 pints (round your response to two decimal places and remember to use the weights in propriate order– the largest weight applies to most recent period and smallest weight applies to oldest period.) c) If the forecasted demand for the week of August 31 is 345 and a = 0.25, using exponential smoothing, develop the forecast for each of the weeks with the known demand and the forecast for the week of October 12 (round your responses to two decimal places).…The following table gives the number of pints of type A blood used at Damascus Hospital in the past 6 weeks: Week Of Pints Used August 31 September 7 September 14 September 21 September 28 345 372 408 383 368 October 5 378 a) The forecasted demand for the week of October 12 using a 3-week moving average = 376.33 pints (round your response to two decimal places). b) Using a 3-week weighted moving average, with weights of 0.15, 0.25, and 0.60, using 0.60 for the most recent week, the forecasted demand for the week of October 12 = in appropriate order – the largest weight applies to most recent period and smallest weight applies to oldest period.) pints (round your response to two decimal places and remember to use the weights
- The following table gives the number of pints of type A blood used at Damascus Hospital in the past 6 weeks: Week Of August 31 September 7 September 14 September 21 September 28 October 5 Pints Used 350 370 412 378 371 378 a) The forecasted demand for the week of October 12 using a 3-week moving average: response to two decimal places). 106 pints (round yourK The following table gives the number of pints of type A blood used at Damascus Hospital in the past 6 weeks: a) The forecasted demand for the week of October 12 using a 3-week moving average Week Of August 31 September 7 September 14 September 21 September 28 October 5 Pints Used 350 389 408 378 366 371 pints (round your response to two decimal places).Room registrations in the Toronto Towers Plaza Hotelhave been recorded for the past 9 years. To project futureoccupancy, management would like to determine the math-ematical trend of guest registration. This estimate willhelp the hotel determine whether future expansion will beneeded. Given the following time-series data, develop aregression equation relating registrations to time (e.g., atrend equation). Then forecast year 11 registrations. Roomregistrations are in the thousands:
- The following table gives the number of pints of type A blood used at Damascus Hospital in the past 6 weeks: Week Of August 31 September 7 September 14 September 21 September 28 October 5 Pints Used 350 370 410 381 371 378 a) The forecasted demand for the week of October 12 using a 3-week moving average = 376.67 pints (round your response to two decimal places). b) Using a 3-week weighted moving average, with weights of 0.20, 0.35, and 0.45, using 0.45 for the most recent week, the forecasted demand for the week of October 12 = pints (round your response to two decimal places and remember to use the weights in appropriate order the largest weight applies to most recent period and smallest weight applies to oldest period.)The following table gives the number of pints of type A blood used at Damascus Hospital in the past 6 weeks: Week Of Pints Used August 31 September 7 September 14 September 21 September 28 345 370 410 378 368 October 5 371 a) The forecasted demand for the week of October 12 using a 3-week moving average = 372.33 pints (round your response to two decimal places). b) Using a 3-week weighted moving average, with weights of 0.15, 0.30, and 0.55, using 0.55 for the most recent week, the forecasted demand for the week of October 12 = pints (round your response to two decimal places and remember to use the weights in appropriate order – the largest weight applies to most recent period and smallest weight applies to oldest period.)The following table gives the number of pints of type A blood used at Damascus Hospital in the past 6 weeks: Week Of August 31 September 7 September 14 September 21 September 28 October 5 Pints Used 350 370 410 383 368 374 a) The forecasted demand for the week of October 12 using a 3-week moving average=pints (round your response to two decimal places).