Compare the starting solutions obtained by the northwest-corner, least-cost, and Vogel methods for each of the following models: 0 225 2 (a) 2 1 45 116 517 317 10 1 10 3 10 (b) 2 4 10 6 7 2 12 5 11 10 523 9 (c) 1 4 6 10 8 12 14 74 11
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- 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.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 monthly demand for units manufactured by the Acme Rocket Company has been as follows:Month Units Month UnitsMay 100 September 105June 80 October 110July 110 November 125August 115 December 120a. Use the exponential smoothing method to forecast the number of units for June to January. The initial forecast for May was 105 units; α = 0.2.b. Calculate the absolute percentage error for each month from June through December and the MAD and MAPE of forecast error as of the end of December.c. Calculate the tracking signal as of the end of December. What can you say about the performance of your forecasting method?
- The table below shows the sales figures for a brand of shoe over the last 12 months.Months SalesJanuary 69February 75March 86April 92May 95June 100July 108August 115September 125October 131November 140December 150a. Using the following, forecast the sales for the months up January the following yeariii. Exponential Smoothing when α= .6 and the forecast for March is 350.The table below shows the sales figures for a brand of shoe over the last 12 months.Months SalesJanuary 69February 75March 86April 92May 95June 100July 108August 115September 125October 131November 140December 150 Using the following, forecast the sales for the months up to January the following year:- 1. Use exponential Smoothing when α= .6 and the forecast for March is 350.2. Determine which of the three forecasting technique is the most accurate using Mean Absolute Deviation MADThe monthly demand for units manufactured by the Acme Rocket Company has been as follows:Month Units Month UnitsMay 100 September 105June 80 October 110July 110 November 125August 115 December 120a. Use the exponential smoothing method to forecast the number of units for June to January. Theinitial forecast for May was 105 units; a = 0.2.b. Calculate the absolute percentage error for each month from June through December and theMAD and MAPE of forecast error as of the end of December.c. Calculate the tracking signal as of the end of December. What can you say about the performanceof your forecasting method?
- A manufacturing engineer is studying the dimensional variability of a particular component that is produced on three machines. Each machine has two spindles, and four components are randomly selected from each spindle. The results follow. Analyze the data, assuming that machines and spindles are fixed factors. Machine 1 Machine 2 Machine 3 Spindle 1 1 1 12 8 14 12 14 16 9 9 15 10 10 15 11 10 13 11 12 15 12 8 14 13 11 14 Calculate the Determination Coefficient (as percentage) for the Model obtained. Use 2 decimal Digits Respuesta: 2.Sales of Volkwagen’s popular Beetle have grown steadily at autodealership in Nevada during the past 5 years (see table below).The sales manager had predicted before the new model wasintroduced that first-year sales would be 410 VWs. Usingexponential smoothing with a weight of α= .30, develop forecastfor years 2 through 6.Year Sales Forecast1 450 4102 4953 5184 5635 5846 ? 2. The following data come from regression line projections:Period Forecast Values Actual values1 410 4062 419 4233 428 4234 435 440 Compute the MAD and MSE. For Disney World, there are six main parks. A forecast of daily attendance at each is the main number thatdetermines labour, maintenance, and scheduling. Disney develops daily, weekly, monthly, annual, and 5-year forecasts. At Disney, forecasts are reviewed daily at the highest levels to make sure that the model, assumptions, anddata are valid. Disney uses a variety of statistical models including moving averages, econometrics, and regression analysis.It also employs judgmental, or nonquantitative models. Disney uses park attendance forecasts to drive decisions about staffing, opening times, ride availability, andfood supplies. Disney’s forecasting team employs 35 analysts and 70 field personnel to survey 1 million people/businessevery year. Disney uses a firm called Global Insights for travel industry forecasts and gathers data on exchange rates,arrivals into the U.S., airline specials, Wall Street trends, and school vacation schedules. At Disney, Error measures are applied;…
- Lefola Limited is the only manufacturer of product G_Easy in the Popa Land. It has provided documented levels of demand at certain selling prices for product G_Easy which are as follows:Price per unit 7 0006 000Demand Units 01Total costs 3 0005 000875 000 2 4 000 3 3 000 4 2 000 5 1 000 68 000 12 000 17 000 23 000 30 000Required:MGA40AT/POF117V – 2020 Instructional Teaching manual packUsing a tabular approach, calculate the marginal revenues and marginal costs for product G_Easy at the different levels of demand, and so determine the selling price at which Lefola Limited’s profits are maximized.Demand for oil changes at Garcia’s Garage has been as follows:Month Number of Oil ChangesJanuary 41February 46March 57April 52May 59June 51July 60August 62a. Use simple linear regression analysis to develop a forecasting model for monthly demand. In this application, the dependent variable, Y, is monthly demand and the independent variable, X, is the month. For January, letX = 1; for February, let X = 2; and so on.b. Use the model to forecast demand for September, October,and November. Here, X = 9, 10, and 11,respectively.The manager of Carpet City outlet needs to make an accurate forecast of demand for Soft Shag Carpet (its biggest seller). If the manager does not order enough carpet from the carpet mill, customers will buy their carpet from one of Carpet City’s many competitors. The manager has collected the following demand data for the past 8 months: Month Demand for Soft Shag Carpet (1000 yd) 1 8 2 12 3 7 4 9 5 15 6 11 7 10 8 12 Required showing all workings: Compute a 3-month moving average forecast for months 4 through 9. Compute a weighted 3-month moving average forecast for months 4 through 9. Assign weights of 0.55, 0.33 and 0.12 to the months in sequence, starting with the most recent month.