A firm experienced the demand shown in the following table.Fill in the table by preparing forecasts based on a five-year moving average, a three-year moving average, and exponential smoothing (w = 0.9 andw = 0.3). (Note: The exponential smoothing forecasts may be begun by assuming Ŷt + 1 = Yt.)Year Actual Demand20002001200220032004200520062007200820092010900885875870870875885900920945Year20052006200720082009RMSEThe following table shows the square errors,Moving Average(5-year)******(5-year)251006251,6003,025Moving AverageSquare ErrorFill the table by calculating the root mean square error (RMSE) for each of the methods.(3-year)91695291,0891,849(3-year)*******(Y-Ý..),O Five-year moving averageO Three-year moving averageO Exponential smoothing (w = 0.3)O Exponential smoothing (w = 0.9)Exponential Smoothing(W = 0.3)(W = 0.9)Exponential Smoothing(W = 0.9) (W = 0.3)2525100362563614841,0892,304729******, for forecasts from 2005 through 2009.Based on the RMSE criterion, which of the forecasting methods is the most accurate?

A firm experienced the demand shown in the following table. Fill in the table by preparing forecasts based on a five-year moving average, a three-year moving average, and exponential smoothing (w = 0.9 and w = 0.3). (Note: The exponential smoothing forecasts may be begun by assuming Ŷt + 1 = Yt.) Year Actual Demand 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 900 885 875 870 870 875 885 900 920 945 Year 2005 2006 2007 2008 2009 RMSE The following table shows the square errors, Moving Average (5-year) "HHHH" (5-year) 25 100 625 1,600 3,025 Moving Average Fill the table by calculating the root mean square error (RMSE) for each of the methods. Square Error (3-year) 9 169 529 1,089 1,849 (3-year) MMMHH (Y−Y...), for forecasts from 2005 through 2009. O Five-year moving average O Three-year moving average O Exponential smoothi (w = 0.3) O Exponential smoothing (w = 0.9) Exponential Smoothing (W = 0.9) (W = 0.3) Exponential Smoothing (W = 0.9) (W = 0.3) 25 25 100 36 256 361 484 1,089 2,304 729 Based on the RMSE criterion, which of the forecasting methods is the most accurate?

A firm experienced the demand shown in the following table. Fill in the table by preparing forecasts based on a five-year moving average, a three-year moving average, and exponential smoothing (w = 0.9 and w = 0.3). (Note: The exponential smoothing forecasts may be begun by assuming Ŷt + 1 = Yt.) Year Actual Demand 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 900 885 875 870 870 875 885 900 920 945 Year 2005 2006 2007 2008 2009 RMSE The following table shows the square errors, Moving Average (5-year) "HHHH" (5-year) 25 100 625 1,600 3,025 Moving Average Fill the table by calculating the root mean square error (RMSE) for each of the methods. Square Error (3-year) 9 169 529 1,089 1,849 (3-year) MMMHH (Y−Y...), for forecasts from 2005 through 2009. O Five-year moving average O Three-year moving average O Exponential smoothi (w = 0.3) O Exponential smoothing (w = 0.9) Exponential Smoothing (W = 0.9) (W = 0.3) Exponential Smoothing (W = 0.9) (W = 0.3) 25 25 100 36 256 361 484 1,089 2,304 729 Based on the RMSE criterion, which of the forecasting methods is the most accurate?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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