(Step-by-Step) Your company’s sales have been growing steadily over the last 17 quarters, as shown in the following table: Quarter Quantity Sales Quarter Quantity
Question: Your company’s sales have been growing steadily over the last 17 quarters, as shown in the following table:
| Quarter | Quantity Sales | Quarter | Quantity Sales |
| 1 | 103.2 | 9 | 137.1 |
| 2 | 105.7 | 10 | 140.9 |
| 3 | 111.3 | 11 | 142.7 |
| 4 | 113.8 | 12 | 149.3 |
| 5 | 116.9 | 13 | 154.4 |
| 6 | 121.8 | 14 | 158.1 |
| 7 | 125.0 | 15 | 164.8 |
| 8 | 132.4 | 16 | 172.0 |
| 17 | 181.3 |
You wish to predict the next four quarters’ sales.
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Using regression techniques, find the linear time trend that best fits the sales data. How well does this equation fit the past data?
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 95.01618 1.357218 70.00806 2.76E-20 92.12333 97.90902 Quarter 4.67598 0.132451 35.3035 7.47E-16 4.393668 4.958293
The linear regression model is
\[Sales=95.016+4.676\,t\]
This model is really good, as shown by the high R-Squared coefficient:
\[{{R}^{2}}=0.9881\] - Now estimate the constant-growth equation Q = br t . Find the coefficients for b and r. Does this equation perform better than the linear form in part a? Explain.
- Predict sales for the next four quarters using both equations.
Price: $2.99
Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document 