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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 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 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 manager of Redline Trucking believes that the demand for tires used on his trucks is closely related to the number of miles driven. He has collected the following data covering the past four months. Month 1 2 3 4 Tires Used 100 150 120 80 Miles Driven 15,000 20,000 17,000 11,000 Write an algebraic equation forecasting the demand for tires. Indicate and explain the independenet and dependant variables and the parameters used in your equation.The Carbondale Hospital is considering the purchase of a new ambulance. The decision will rest partly on the anticipated mileage to be driven next year. The miles driven during the past 5 years are as follows: Year 1 2 3 4 5 Mileage 3,100 4,000 3,500 3,800 3,700 a) Using a 2-year moving average, the forecast for year 6 =______miles (round your response to the nearest whole number). b) If a 2-year moving average is used to make the forecast, the MAD based on this =____miles (round your response to onedecimal place). (Hint: You will have only 3 years of matched data.) c) The forecast for year 6 using a weighted 2-year moving average with weights of 0.45 and 0.55 (the weight of 0.55 is for the most recent period) =________miles (round your response to the nearest whole number). The MAD for the forecast developed using a weighted 2-year moving average with weights of 0.45 and 0.55=_____…
- The manager of a small health clinic would like to use exponential smoothing to forecast demand for laboratory services in the facility. However, she is not sure whether to use a high or low value of. To make her decision, she would like to compare the forecast accuracy of a high and low on historical data. She has decided to use an α=0.7 for the high value and α=0.1 for the low value.The Carbondale Hospital is considering the purchase of a new ambulance. The decision will rest partly on the anticipated mileage to be driven next year. The miles driven during the past 5 years are as follows: Year 1 2 3 4 5 Mileage 3,100 4,000 3,500 3,850 3,750 a) Using a 2-year moving average, the forecast for year 6 = miles (round your response to the nearest whole number). b) If a 2-year moving average is used to make the forecast, the MAD based on this = miles (round your response to onedecimal place). (Hint: You will have only 3 years of matched data.) c) The forecast for year 6 using a weighted 2-year moving average with weights of 0.45 and 0.55 (the weight of 0.55 is for the most recent period) = miles (round your response to the nearest whole number). The MAD for the forecast developed using a…The Carbondale Hospital is considering the purchase of a new ambulance. The decision will rest partly on the anticipated mileage to be driven next year. The miles driven during the past 5 years are as follows: Year 1 2 3 4 5Mileage 3,000 4,050 3,450 3,800 3,800 a) Using a 2-year moving average, the forecast for year 6 = 38003800 miles (round your response to the nearest whole number). a) Using a 2-year moving average, the forecast for year 6 = 3800 miles (round your response to the nearest whole number). b) If a 2-year moving average is used to make the forecast, the MAD based on this = 100.0 miles (round your response to one decimal place). (Hint: You will have only 3 years of matched data.) c) The forecast for year 6 using a weighted 2-year moving average with weights of 0.45 and 0.55 (the weight of 0.55 is for the most recent period) = ? miles (round your response to the nearest whole number).
- The manager of a popular tourist resort wants to use the manual trend projection forecasting technique and exponential smoothing without trend to forecast room occupancy at the resort for the next 4 years. Using a numerical example, demonstrate how these techniques can be used to do the forecast. REQUIREMENT- USE EXPONENTIAL SMOOTHING(WITHOUT TREND) ONLYThe number of fishing rods selling each day is given below. Perform analyses of the time series to determine which model should be used for forecasting. 3 day moving average analysis 4 day moving average analysis 3 day weighted moving average analysis with weights W1=0.2, W2=0.3 and W3=0.5 with W1 on the oldest data. Exponential smoothing analysis with A=0.3 Which model provides a better fit of the data? Forecast day 13 sales of fishing rods using the model chosen in part (e) Day Rods Sold 1 60 2 70 3 110 4 80 5 70 6 85 7 115 8 105 9 65 10 75 11 95 12 85 Please read the relevant article, found in the VLE, before answering the question. Discuss the process and findings of the study of the article. Suggest a possible study that could be done at your current or past job that could use a similar methodology and analysis.Complete the forecasting worksheets for: Naïve Average Moving Average Weighted Moving Average using the weights of .8, .15, and .05 with .8 being the most current, then .15, then .05 ExponA using and alpha level of .75 ExponB will automatically be .25 when A is .75 Exponential Solver What is the best alpha level as determined by the Exponential Solver? Which is the best forecasting option for MAE? What is the MAE? Which is the best forecasting option for MAPE? What is the MAPE? Period Sales 1 115 2 118 3 128 4 122 5 135 6 128 7 135 8 132 9 132 10 135