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

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.6: Functions Defined By Tables And Graphs
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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

 

a) Construct a time-series plot in excel. (Label axes and graph) 

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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