Question

In: Statistics and Probability

3) Monthly sales at a coffee shop have been analyzed. The seasonal index values are Month...

3) Monthly sales at a coffee shop have been analyzed. The seasonal index values are Month Index

Jan 1.38 Feb 1.42 Mar 1.35 Apr 1.03 May 0.99 June 0.62 July 0.51 Aug 0.58 Sept 0.82 Oct 0.82 Nov 0.92 Dec 1.56 and the trend line is 74123 + 26.9(t).

Assume there is no cyclical component and forecast sales for year 8 (months 97 - 108).

PLEASE NOTE

I AM USING EXCEL FOR THIS HOMEWORK PLEASE SHOW FORMULAS AND WORK

THANKS

Solutions

Expert Solution

Answer:-

Given That:-

3) Monthly sales at a coffee shop have been analyzed. The seasonal index values are Month Index Jan 1.38 Feb 1.42 Mar 1.35 Apr 1.03 May 0.99 June 0.62 July 0.51 Aug 0.58 Sept 0.82 Oct 0.82 Nov 0.92 Dec 1.56 and the trend line is 74123 + 26.9(t). Assume there is no cyclical component and forecast sales for year 8 (months 97 - 108).

Given,

Year 8 should have months 73 to 96 , not 97 to 108

but you can do the same procedure accordingly

t deseasonal forecast seasonal index forecast
97 76732.3 1.38 105890.6
98   76759.2   1.42   108998.1
99   76786.1   1.35   103661.2
100   76813   1.03   79117.39
101   76839.9   0.99   76071.5
102   76866.8   0.62 47657.42
103   76893.7   0.51   39215.79
104   76920.6   0.58   44613.95
105   76947.5   0.82   63096.95
106   76974.4   0.82   63119.01
107   77001.3   0.92   70841.2
108   77028.2   1.56   120164

Formulas

t deseasonal forecast seasonal index forecast
97   =74123+26.9*A2 1.38   =B2*C2
=1+A2    =74123+26.9*A3 1.42 =B3*C3
=1+A3 =74123+26.9*A4 1.35 =B4*C4
=1+A4 =74123+26.9*A5 1.03 =B5*C5
=1+A5 =74123+26.9*A6 0.99 =B6*C6
=1+A6 =74123+26.9*A7 0.62 =B7*C7
=1+A7 =74123+26.9*A8 0.51 =B8*C8
=1+A8 =74123+26.9*A9 0.58 =B9*C9
=1+A9   =74123+26.9*A10 0.82 =B10*C10
=1+A10          =74123+26.9*A11 0.82 =B11*C11
=1+A11          =74123+26.9*A12 0.92 =B12*C12
=1+A12      =74123+26.9*A13 1.56   =B13*C13

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