A company uses simple exponential smoothing to forecast weekly sales of its product. The company uses a smoothing constant of 0.2. It is known that L4 = 85, D5 = 90. Then the estimated level for week 5 will be L5= . (Round your answer to two decimal places.)
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- 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 management of a technology company is trying to determine the variable that best explains the variation of employee salaries using a sample of 52 full-time employees; see the file P13_08.xlsx. Estimate simple linear regression equations to identify which of the following has the strongest linear relationship with annual salary: the employees gender, age, number of years of relevant work experience prior to employment at the company, number of years of employment at the company, or number of years of post secondary education. Provide support for your conclusion.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?
- Suppose that a regional express delivery service company wants to estimate the cost of shipping a package (Y) as a function of cargo type, where cargo type includes the following possibilities: fragile, semifragile, and durable. Costs for 15 randomly chosen packages of approximately the same weight and same distance shipped, but of different cargo types, are provided in the file P13_16.xlsx. a. Estimate a regression equation using the given sample data, and interpret the estimated regression coefficients. b. According to the estimated regression equation, which cargo type is the most costly to ship? Which cargo type is the least costly to ship? c. How well does the estimated equation fit the given sample data? How might the fit be improved? d. Given the estimated regression equation, predict the cost of shipping a package with semifragile cargo.A company uses Holt’s model to forecast weekly sales of its product which show a trend pattern. The company uses a smoothing constant for the level of 0.2 and a smoothing constant for the trend of 0.1. It is known that L4 = 85, T4 = 20, L5=108, D5 = 120. Then the estimated trend for week 5 will be T5= . (Round your answer to two decimal places.)The Holt method (exponential smoothing with trend andwithout seasonality) is being used to forecast weekly carsales at TOD Ford. Currently, the base is estimated to be 50cars per week, and the trend is estimated to be 6 cars perweek. During the current week, 30 cars are sold. Afterobserving the current week’s sales, forecast the number ofcars to be sold during the week that begins three weeks afterthe conclusion of the current week. Use a b 0.3.
- The following two demand sets are to be used to test two different basic exponential smoothingmodels. The first model uses 0.1, and the second uses 0.5. In both cases, the modelshould be initialized with a beginning forecast value of 50; that is, the ESF forecast for period 1made at the end of period 0 is 50 units. In each of the four cases (two models on two demandsets), compute the average forecast error and MAD. What do the results mean?Demand Set I Demand Set IIPeriod Demand Period Demand1 51 1772 46 2833 49 3904 55 4225 52 5106 47 6807 51 7168 48 8199 56 92710 51 10 7911 45 11 7312 52 12 8813 49 13 1514 48 14 2115 43 15 8516 46 16 2217 55 17 8818 53 18 7519 54 19 1420 49 20 16Sales 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 (α) of 0.30 and a starting forecast of 415.00, the following sales forecast has been developed: Year Sales Forecasted Sales 2005 455 415.00 2006 502 427.00 2007 518 449.50 2008 563 470.05 2009 584 497.94 Part 2 The MAD for a forecast developed using exponential smoothing with α = 0.30 is enter your response here sales (round your response to two decimal places). Part 3 Forecasted sales for years 2006 through 2010 using exponential smoothing with α = 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 enter your response here enter…The number of internal disk drives (in million) made at a plant in Taiwan during the past 5 years follows: Year Disk Drives 1 142 2 156 3 184 4 204 5 210 a) Using simple linear regression the forecast for the number of disk drives to be made next year= 234.4 disk drives b) The mean squared error (mse) when using simple linear regression=[___] drives^2 (round your response to one decimal place)
- snipA company uses Holt’s model to forecast weekly sales of its product which show a trend pattern. The company uses a smoothing constant for the level of 0.2 and a smoothing constant for the trend of 0.1. It is known that L4 = 85, T4 = 20, D5 = 90. Then the estimated level for week 5 will be L5= . (Round your answer to two decimal places.)Compare the exponential smoothing model when a=0 and when a=1