(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.

  1. 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:
    \[{{R}^{2}}=0.9881\]
  2. 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.
  3. Predict sales for the next four quarters using both equations.

Price: $2.99
Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document

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