Consider the following time series data. Quarter Year 1 1 1 2 2 3 4 Year Quarter 1 2 3 4 1 2 3 (a) Deseasonalize the time series using the adjusted seasonal indexes given below. (Round your answers to three decimal places.) Time Series Value Adjusted Seasonal Index Deseasonalized Value 4 1 2 3 4 4 2 3 4 4 2 3 4 6 3 5 8 7 6 6 Year 2 Year 3 9 6 3 5 8 7 6 6 1.230 0.734 0.870 1.165 1.230 0.734 0.870 1.165 1.230 0.734 0.870 1.165 · (b) Using statistical software, 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 12 denote the time series value in quarter 4 of year 3. Round your numerica three decimal places.) T₁-

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(c) Compute the deseasonalized quarterly trend forecast for year 4. (Round your answers to three decimal places.)
forecast for quarter 1
forecast for quarter 2
forecast for quarter 3
forecast for quarter 4
(d) Use the seasonal indexes to adjust the deseasonalized trend forecasts computed in part (c). (Round your answers to three decimal places.)
forecast for quarter 1
forecast for quarter 2
forecast for quarter 3
forecast for quarter 4
Transcribed Image Text:(c) Compute the deseasonalized quarterly trend forecast for year 4. (Round your answers to three decimal places.) forecast for quarter 1 forecast for quarter 2 forecast for quarter 3 forecast for quarter 4 (d) Use the seasonal indexes to adjust the deseasonalized trend forecasts computed in part (c). (Round your answers to three decimal places.) forecast for quarter 1 forecast for quarter 2 forecast for quarter 3 forecast for quarter 4
Consider the following time series data.
Quarter Year 1
1
1
2
2
3
3
Year Quarter
4
1
2
3
4
1
2
3
4
1
(a) Deseasonalize the time series using the adjusted seasonal indexes given below. (Round your answers to three decimal places.)
Time Series
Value
Adjusted
Seasonal Index
2
3
4
4
2
3
4
4
2
3
4
6
3
5
8
7
6
6
Year 2
9
6
3
5
8
Year 3
7
6
6
9
1.230
0.734
0.870
1.165
1.230
0.734
0.870
1.165
1.230
0.734
0.870
1.165
Deseasonalized
Value
T
(b) Using statistical software, 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 = 12 denote the time series value in quarter 4 of year 3. Round your numerical values to
three decimal places.)
T₂ =
Transcribed Image Text:Consider the following time series data. Quarter Year 1 1 1 2 2 3 3 Year Quarter 4 1 2 3 4 1 2 3 4 1 (a) Deseasonalize the time series using the adjusted seasonal indexes given below. (Round your answers to three decimal places.) Time Series Value Adjusted Seasonal Index 2 3 4 4 2 3 4 4 2 3 4 6 3 5 8 7 6 6 Year 2 9 6 3 5 8 Year 3 7 6 6 9 1.230 0.734 0.870 1.165 1.230 0.734 0.870 1.165 1.230 0.734 0.870 1.165 Deseasonalized Value T (b) Using statistical software, 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 = 12 denote the time series value in quarter 4 of year 3. Round your numerical values to three decimal places.) T₂ =
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