In: Statistics and Probability
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
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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