istical prog A certain company has been an authorized dealer for C&D marine radios for the past seven years. Suppose the quarterly sales values for the seven years of historical data are as follows. 1 2 program is re 3 4 5 Year Quarter 1 Quarter 2 Quarter 3 Quarter 4 6 1 2 3 4 5 6 7 1 2 3 4 1 2 3 Adjusted Year Quarter Sales Seasonal Index 4 1 2 3 4 1 2 3 ** 4 1 AWN 2 3 (a) Deseasonalize the data. (Round your answers to three decimal places.) 4 1 2 7 3 10 4 15 20 23 25 28 7 15 10 4 10 18 15 7 15 26 23 12 20 28 25 18 23 34 28 21 25 36 15 30 18 20 26 28 34 36 40 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 C 1.353 10 1.108 15 0.616 23 25 28 30 35 Deseasonalized Sales 6.076 13.867 C C C x J D D D 4 D 7 12 18 21 20 27 Total Yearly Sales 36 50 76 91 106 111 130

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Author:Amos Gilat
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A statistical program is recommended.
A certain company has been an authorized dealer for C&D marine radios for the past seven years. Suppose the quarterly sales
values for the seven years of historical data are as follows.
Year Quarter 1 Quarter 2 Quarter 3
1
2
3
4
5
6
7
1
2
3
4
1
2
Year Quarter Sales
3
4
1
2
3
4
1
2
3
4
1
2
3
4
1
2
3
7
4
10
1
15
20
23
25
(a) Deseasonalize the data. (Round your answers to three decimal places.)
28
7
15
10
4
10
18
15
7
15
26
23
12
20
28
25
18
23
34
28
21
25
36
30
20
15
28
18
26
28
34
36
40
Adjusted
Seasonal
Index
0.924
1.353
1.108
0.616
0.924
1.353
1.108
0.616
0.924
1.353
1.108
0.616
0.924
1.353
1.108
0.616
0.924
1.353
1.108
0.616
0.924
1.353
1.108
0.616
10
0.924
15
23
25
28
30
35
Quarter 4
Deseasonalized
Sales
6.076
X
13.867 x
4
]
D
J
1
7
12
18
21
20
27
Total Yearly
Sales
36
50
76
91
106
111
130
Transcribed Image Text:A statistical program is recommended. A certain company has been an authorized dealer for C&D marine radios for the past seven years. Suppose the quarterly sales values for the seven years of historical data are as follows. Year Quarter 1 Quarter 2 Quarter 3 1 2 3 4 5 6 7 1 2 3 4 1 2 Year Quarter Sales 3 4 1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 7 4 10 1 15 20 23 25 (a) Deseasonalize the data. (Round your answers to three decimal places.) 28 7 15 10 4 10 18 15 7 15 26 23 12 20 28 25 18 23 34 28 21 25 36 30 20 15 28 18 26 28 34 36 40 Adjusted Seasonal Index 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 10 0.924 15 23 25 28 30 35 Quarter 4 Deseasonalized Sales 6.076 X 13.867 x 4 ] D J 1 7 12 18 21 20 27 Total Yearly Sales 36 50 76 91 106 111 130
1
2
3
4
1
2
3
4
25
36
30
20
28
40
35
27
0.924
1.353
1.108
0.616
0.924
1.353
1.108
0.616
1000000
Compute the linear trend regression equation for the deseasonalized data. (Let t = 1 denote the time series value in quarter 1
of year 1; t = 2 denote the time series value in quarter 2 of year 1; ... and t = 28 denote the time series value in quarter 4
of year 7. Round your numerical values to two decimal places.)
T₁ =
(b) Use the results of part (a) to develop a quarterly forecast for next year based on trend. (Round your answers to two decimal
places.)
forecast for quarter 1
forecast for quarter 2
forecast for quarter 3
forecast for quarter 4
(c) Use the adjusted seasonal indexes given in part (a) to adjust the forecasts developed in part (b) to account for the effect of
season. (Round your answers to one decimal place.)
forecast for quarter 1
forecast for quarter 2
forecast for quarter 3
forecast for quarter 4
Transcribed Image Text:1 2 3 4 1 2 3 4 25 36 30 20 28 40 35 27 0.924 1.353 1.108 0.616 0.924 1.353 1.108 0.616 1000000 Compute the linear trend regression equation for the deseasonalized data. (Let t = 1 denote the time series value in quarter 1 of year 1; t = 2 denote the time series value in quarter 2 of year 1; ... and t = 28 denote the time series value in quarter 4 of year 7. Round your numerical values to two decimal places.) T₁ = (b) Use the results of part (a) to develop a quarterly forecast for next year based on trend. (Round your answers to two decimal places.) forecast for quarter 1 forecast for quarter 2 forecast for quarter 3 forecast for quarter 4 (c) Use the adjusted seasonal indexes given in part (a) to adjust the forecasts developed in part (b) to account for the effect of season. (Round your answers to one decimal place.) forecast for quarter 1 forecast for quarter 2 forecast for quarter 3 forecast for quarter 4
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