The Vintage Restaurant, on Captive Island near Fort Meyers, Florida, is owned and operated by Karen Payne. The restaurant just completed its second year of operation. Below are the sales for those two years (in ten thousands of dollars). Month First Year Second Year January 57 61 February 51 75 March 58 54 April 57 56 May 68 62 June 72 71 July 60 59 August 51 75 September 68 68 October 51 50 November 71 64 December 75 58   b) Develop a six month moving average. Compute MSE and forecast the amount of sales for the next month.  c) Use α = 0.2 to compute the exponential smoothing values. Compute MSE and forecast for the next month. d) Compare the result for the six month average and exponential smoothing. Which appears to provide a better forecast based on MSE? Explain.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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The Vintage Restaurant, on Captive Island near Fort Meyers, Florida, is owned and operated by Karen Payne. The restaurant just completed its second year of operation. Below are the sales for those two years (in ten thousands of dollars).

Month

First Year

Second Year

January

57

61

February

51

75

March

58

54

April

57

56

May

68

62

June

72

71

July

60

59

August

51

75

September

68

68

October

51

50

November

71

64

December

75

58

 

b) Develop a six month moving average. Compute MSE and forecast the amount of sales for the next month. 

c) Use α = 0.2 to compute the exponential smoothing values. Compute MSE and forecast for the next month.

d) Compare the result for the six month average and exponential smoothing. Which appears to provide a better forecast based on MSE? Explain. 

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