(a) For the following data, verify that the 5 year weighted moving average with weights 1, 2, 2, 2, 1 respectively is equivalent to 4 year centred moving average:   Year 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 Sales (K) 5 3 7 6 4 8 9 10 8 9 9    (b) The forecast of a product for the first week of March was 200 units, whereas the actual demand turned out to be 220 units. Find the forecast for the second week of March by assuming the smoothing constant (α ) as 0.35. Find the forecast for the third week of March if the actual demand of the second week is 210

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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(a) For the following data, verify that the 5 year weighted moving average with weights 1, 2, 2, 2, 1 respectively is equivalent to 4 year centred moving average:

 

Year

1994

1995

1996

1997

1998

1999

2000

2001

2002

2003

2004

Sales (K)

5

3

7

6

4

8

9

10

8

9

9

 

 (b) The forecast of a product for the first week of March was 200 units, whereas the actual demand turned out to be 220 units.

  1. Find the forecast for the second week of March by assuming the smoothing constant (α ) as 0.35.
  2. Find the forecast for the third week of March if the actual demand of the second week is 210 units.
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