Using an initial forecast of 22 units and an alpha of 0.25, the exponential smoothing forecast for week 3 is 22 O 22.5 24 24.38
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- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?Number of Certified Organic Farmsin the United States, 2001–2008 Year Farms 2001 5,441 2002 5,806 2003 6,546 2004 6,528 2005 6,944 2006 7,854 2007 9,430 2008 10,728 Fit three trends: linear yt= xt+quadratic yt= xt^2+ xt+ exponential yt= e x Use each of the three fitted trend equations to make numerical forecasts for the next three years. t Linear Quadratic Exponential 9 10 11For the Hawkins Company, the monthly percentages of all shipments received on time over the past 12 months are 80, 82, 84, 83, 83, 84, 85, 84, 82, 83, 84, and 83. a. Compute for a 3 month moving average forecast. b. Compute for the exponential smoothing forecast for a=0.2. c. Which provides the better forecast using MSE as the measure of model accuracy? d. What is the forecast for next month?
- Storrs Cycles has just started selling the new Cyclonemountain bike, with monthly sales as shown in the table. First,co-owner Bob Day wants to forecast by exponential smoothingby initially setting February’s forecast equal to January’s saleswith a = .1. Co-owner Sherry Snyder wants to use a three-periodmoving average. a) Is there a strong linear trend in sales over time?b) Fill in the table with what Bob and Sherry each forecast forMay and the earlier months, as relevant.c) Assume that May’s actual sales figure turns out to be 405.Complete the table’s columns and then calculate the meanabsolute deviation for both Bob’s and Sherry’s methods.d) Based on these calculations, which method seems moreaccurate?A pizza chain has had sales for take-out food over the last four evenings—Monday, Tuesday, Wednesday, and Thursday—of 29, 25, 35, and 30 pizzas, respectively.What would be their forecast for Friday using an exponential smoothing forecastingapproach? Use α = 0.2 and a forecast for Monday of 28.With the gasoline time series data from table 17.1, show the exponential smoothing forecasts using a = .1.a. applying the MSe measure of forecast accuracy, would you prefer a smoothing constant of a = .1 or a = .2 for the gasoline sales time series?b. are the results the same if you apply Mae as the measure of accuracy?c. What are the results if Mape is used?
- The figures below show the weekly demand at an electrical repair workshop for a certain type of connector over a 10-week period. a) Use exponential smoothing with α values of 0.2, 0.3, 0.4 to smooth the data and obtain a forecast for week 11. (b) Using the MSE criterion, which value gives the best results?After constant complaints about the long wait from his customers, Ryan - the owner of shop - hasdecided to hire a second mechanic to handle installations. Customers, who arrive at a rate ofabout 3 per hour (Poisson), will wait in a single line until one of the two mechanics is free. Eachmechanic can serve about four customers per hour (Exponential).Do you think the improvement on customer experience will be significant? Computethe key waiting line characteristics BEFORE and AFTER the second mechanic is hired tosupport your answer.With the gasoline time series data from the given table, show the exponential smoothing forecasts using = 0.1. Week Sales (1000s of gallons) 1 17 2 21 3 19 4 23 5 18 6 16 7 20 8 18 9 22 10 20 11 15 12 22 Applying the MSE measure of forecast accuracy, would you prefer a smoothing constant of = 0.1 or = 0.2 for the gasoline sales time series? Do not round your interim computations and round your final answers to two decimal places. = 0.1 = 0.2 MSE fill in the blank 1 fill in the blank 2 Prefer: 01. or 0.2 2. Are the results the same if you apply MAE as the measure of accuracy? Do not round your interim computations and round your final answers to two decimal places. = 0.1 = 0.2 MAE fill in the blank 4 fill in the blank 5 Prefer: 0.1 or 0.2 3. What are the results if MAPE is used? Do not round your interim computations and round your final answers to two decimal places. = 0.1 = 0.2 MAPE fill in…
- Here are the actual tabulated demands for an item for a nine-month period (January through September). Your supervisor wants to test two forecasting methods to see which method was better over this period. MONTH ACTUAL January 110 February 130 March 150 April 170 May 160 June 180 July 140 August 130 September 140 a. Forecast April through September using a three-month moving average. Note: Round your answers to 1 decimal place. b. Use simple exponential smoothing with an alpha of 0.3 to estimate April through September, using the average of January through March as the initial forecast for April. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. c-1. Calculate MAD for each method. Note: Round your answers to 1 decimal place. c-2. Use MAD to decide which method produced the better forecast over the six-month period. multiple choice Exponential smoothing. Three-month moving average.The Bayside Fountain Hotel is adjacent to County Coliseum, a 24,000-seat arena that is home tothe city’s professional basketball and ice hockey teams and that hosts a variety of concerts, tradeshows, and conventions throughout the year. The hotel has experienced the following occupancyrates for the past 9 years, since the coliseum opened:Year Occupancy Rate (%)1 832 783 754 815 866 857 898 909 86 Compute an exponential smoothing forecast with a = .20, an adjusted exponential smoothingforecast with a = .20 and B=30 and a linear trend line forecast. Compare the three forecasts,using MAD and average error ( ), and indicate which seems to be most accurate.You have the following table: Index of Housing Starts in Wonderland: 2009 to 2020 (with 2008 = 100) Y ear 2009 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 2020 Index 116 122 121 121 111 97 113 125 146 142 156 162 (A) Forecast the index of housing starts in Wonderland in 2021 by exponential smoothing with the following weights: w = 0.3 and w = 0.7 (B) Which of these forecasts gives a better forecast for 2021? Explain why!