Question
The quarterly earnings (in $ millions) of a large cellphone manufacturer have been recorded for the years 2018-2019. These data are listed here. For part
The quarterly earnings (in $ millions) of a large cellphone manufacturer have been recorded for the years 2018-2019. These data are listed here.
For part (a) round all final answers to 2 decimal places.
(a) Fill in the table below given the regression equation, y=165.1+2.9y^=165.1+2.9 tt.
Year | Quarter | tt | yy (actual value) | yy^ | Ratio |
2018 | 1 | 150 | |||
2 | 200 | ||||
3 | 163 | ||||
4 | 184 | ||||
2019 | 1 | 160 | |||
2 | 210 | ||||
3 | 170 | ||||
4 | 190 |
For part (b) round all final answers to 2 decimal places.
(b) Compute the seasonal indexes in the table below.
Quarters | Seasonal Index |
1 | |
2 | |
3 | |
4 |
For part (c) round your numerical answer to the nearest whole number and express percentages in percent form (i.e. 3% instead of 0.03).
(c) The results of the seasonal index indicates that the earnings (in $ millions) for this cellphone company in quarter-1 are %% Select an answer more less than the seasonal average earnings.
For part (d) round your regression values to 1 decimal place and your forecasting times to the nearest whole number.
(d) Forecast the quarterly earnings for the year 2020 by filling in the table below. Seasonal Index forecasting: Ft=[b0+b1t]SItFt=[b0+b1t]SIt.
Next Year | Time Period tt | y=y^= regression at time tt | Seasonal index | Forecasting at time tt |
2020 | ||||
(e) Another forecating model (model-2) was used and the results are shown below. Compute MAD and SSE for each model.
Quarter | 1 | 2 | 3 | 4 |
Forecast (Model 1 from Part (d)) | ||||
Forecast (Model 2) | 168 | 228 | 185 | 200 |
Actual | 170 | 225 | 185 | 204 |
Round your MAD/SSE values to 2 decimal places.
Model-1 MAD = Model-1 SSE = Model-2 MAD = Model-2 SSE = (f) Based on the above results, the best forecasting model is model
- Model-1
- Model-2
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