MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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J 2
A statistical program is recommended.
A company that sells musical instruments has been in business for five years. During that time, sales of planos increased from 12 units in the first year to 77 units in the most recent year. The firm's owner wants to develop a forecast of plano sales for the coming year. The quarterly sales data follow.
Year Quarter 1 Quarter 2
1
2
3
4
7
19
2
4
forecast for quarter 3
forecast for quarter 4
2
9
Quarter 3 Quarter 4
1
4
3
7
13
14
22
35
Total Yearly
Sales
12
29
50
(*) Use the following dummy variables to develop an estimated regression equation to account for any seasonal and linear trend effects in the data: ₁ 1 if quarter 1, 0 otherwise; ₂-1 if quarter 2,0 otherwise; and x-1 if quarter 3, 0 otherwise. (Lett-1 denote the time series value in quarter 1 of year 1: 6-2 denote the time series value in quarter 2 of
and -20 denote the time series value in quarter 4 of year 5. Round your numerical values to two decimal places.)
-[
(b) Compute the quarterly forecasts for next year. (Round your answers to the nearest integer)
forecast for quarter 1
planos
forecast for quarter 2
planc
pianos
planos
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Transcribed Image Text:A statistical program is recommended. A company that sells musical instruments has been in business for five years. During that time, sales of planos increased from 12 units in the first year to 77 units in the most recent year. The firm's owner wants to develop a forecast of plano sales for the coming year. The quarterly sales data follow. Year Quarter 1 Quarter 2 1 2 3 4 7 19 2 4 forecast for quarter 3 forecast for quarter 4 2 9 Quarter 3 Quarter 4 1 4 3 7 13 14 22 35 Total Yearly Sales 12 29 50 (*) Use the following dummy variables to develop an estimated regression equation to account for any seasonal and linear trend effects in the data: ₁ 1 if quarter 1, 0 otherwise; ₂-1 if quarter 2,0 otherwise; and x-1 if quarter 3, 0 otherwise. (Lett-1 denote the time series value in quarter 1 of year 1: 6-2 denote the time series value in quarter 2 of and -20 denote the time series value in quarter 4 of year 5. Round your numerical values to two decimal places.) -[ (b) Compute the quarterly forecasts for next year. (Round your answers to the nearest integer) forecast for quarter 1 planos forecast for quarter 2 planc pianos planos
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