(b) Use a regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. (Round your numerical values to the nearest integer.) Qrt1= 1 if quarter 1, 0 otherwise; Qrt2 = 1 if quarter 2, 0 otherwise; Qrt3= 1 if quarter 3, 0 otherwise - 2498.3-715.0 - 1515.3 - 3267 x Check if you have any variable(s)/term(s) missing from your equation. (c) Using the equation developed in part (b), compute the quarterly forecasts for year 4. (Round your answers to the nearest ten.) quarter 1 forecast quarter 2 forecast quarter 3 forecast quarter 4 forecast 1783.3 983.0 2171 2498.3 ✓ x (d) Let t = 1 refer to the observation in Quarter 1 of Year 1; let t = 2 refer to the observation in Quarter 2 of Year 1;... and t = 12 to refer to the observation in Quarter 4 of Year 3. Using the dummy variables defined in part (b) and also using t, develop an equation to account for seasonal effects and any linear trend in the time series. (Round your numerical values to the nearest integer.) 8₁ = 2316-647-x₁1473-x₂ +349-x3+23-t

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A statistical program is recommended.
The quarterly sales data (number of copies sold) for a college textbook over the past three years follow.
Quarter Year 1 Year 2 Year 3
1 1,700 1,800 1,850
2 950 900 1,100
3 2,625 2,910 2,930
4 2,510 2,370 2,625
(b) Use a regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. (Round your numerical values to the nearest integer.)
Qrt1 = 1 if quarter 1, 0 otherwise; Qrt2 = 1 if quarter 2, 0 otherwise; Qrt3 = 1 if quarter 3, 0 otherwise
2498.3-715.0 - 1515.3 - 3267
+ =
X
Check if you have any variable(s)/term(s) missing from your equation.
(c) Using the equation developed in part (b), compute the quarterly forecasts for year 4. (Round your answers to the nearest ten.)
quarter 1 forecast
✔
quarter 2 forecast
quarter 3 forecast
quarter 4 forecast
1783.3
983.0
2171
2498.3
x
(d) Let t = 1 refer to the observation in Quarter 1 of Year 1; let t = 2 refer to the observation in Quarter 2 of Year 1;... and t = 12 to refer to the observation in Quarter 4 of Year 3. Using the dummy variables defined in part (b) and also
using t, develop an equation to account for seasonal effects and any linear trend in the time series. (Round your numerical values to the nearest integer.)
2316-647-x₁ - 1473-x₂ +349-x3 +23-t
Check which variable(s)/term(s) should be in your equation.
x
Transcribed Image Text:(b) Use a regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. (Round your numerical values to the nearest integer.) Qrt1 = 1 if quarter 1, 0 otherwise; Qrt2 = 1 if quarter 2, 0 otherwise; Qrt3 = 1 if quarter 3, 0 otherwise 2498.3-715.0 - 1515.3 - 3267 + = X Check if you have any variable(s)/term(s) missing from your equation. (c) Using the equation developed in part (b), compute the quarterly forecasts for year 4. (Round your answers to the nearest ten.) quarter 1 forecast ✔ quarter 2 forecast quarter 3 forecast quarter 4 forecast 1783.3 983.0 2171 2498.3 x (d) Let t = 1 refer to the observation in Quarter 1 of Year 1; let t = 2 refer to the observation in Quarter 2 of Year 1;... and t = 12 to refer to the observation in Quarter 4 of Year 3. Using the dummy variables defined in part (b) and also using t, develop an equation to account for seasonal effects and any linear trend in the time series. (Round your numerical values to the nearest integer.) 2316-647-x₁ - 1473-x₂ +349-x3 +23-t Check which variable(s)/term(s) should be in your equation. x
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