Exhibit 4. The numbers of copies of a college textbook sold quarterly over the past three years are:
Year |
Quarter |
Sales |
t |
Qtr2 |
Qtr3 |
Qtr4 |
1 |
1 |
1690 |
1 |
0 |
0 |
0 |
1 |
2 |
940 |
2 |
1 |
0 |
0 |
1 |
3 |
2625 |
3 |
0 |
1 |
0 |
1 |
4 |
2400 |
4 |
0 |
0 |
1 |
2 |
1 |
1760 |
5 |
0 |
0 |
0 |
2 |
2 |
990 |
6 |
1 |
0 |
0 |
2 |
3 |
2800 |
7 |
0 |
1 |
0 |
2 |
4 |
2510 |
8 |
0 |
0 |
1 |
3 |
1 |
1850 |
9 |
0 |
0 |
0 |
3 |
2 |
1100 |
10 |
1 |
0 |
0 |
3 |
3 |
2930 |
11 |
0 |
1 |
0 |
3 |
4 |
2615 |
12 |
0 |
0 |
1 |
Since the time series has trend and seasonal pattern, to forecast the quarterly sales of the textbook, the following regression equation was found:
t = time period (see the table above with the regression data) and Qtr2, Qtr3 and Qtr4 are dummy variables corresponding to Quarters 2, 3, and 4, respectively.
1. Refer to Exhibit 4. The sales forecast for Quarter 1 of the next year is
a. |
2012 |
b. |
1840 |
c. |
2098 |
d. |
1973 |
ANS:D
2. Refer to Exhibit 4. The sales forecast for Quarter 4 of the next year is
a. |
2810 |
b. |
2676 |
c. |
2714 |
d. |
2750 |
ANS:C
3. Refer to Exhibit 4. The sales in Quarter 4 of the next year are predicted to be
a. |
741 copies higher than in Quarter 1 of the next year |
b. |
663 copies higher than in Quarter 1 of the next year |
c. |
303 copies lower than in Quarter 3 of the next year |
d. |
277 copies lower than in Quarter 3 of the next year |
ANS:A
4. Refer to Exhibit 4. The sales in Quarter 3 of the next year are predicted to be
a. |
1749 copies higher than in Quarter 2 of the next year |
b. |
1775 copies higher than in Quarter 2 of the next year |
c. |
303 copies higher than in Quarter 2 of the next year |
d. |
1446 copies higher than in Quarter 2 of the next year |
ANS:B
5. Refer to Exhibit 4. The estimated growth in the textbook sales is
a. |
26 copies per quarter |
b. |
26 copies per year |
c. |
1635 + 26 = 1661 copies per quarter |
d. |
1635 + 26 = 1661 copies per year |
ANS:A
((Explain the answers))
(1) Refer to Exhibit 4. The sales forecast for Quarter 1 of the next year is
Option-D
(2) Refer to Exhibit 4. The sales forecast for Quarter 4 of the next year is
Option-C
(3)
Refer to Exhibit 4. The sales in Quarter 4 of the next year are predicted to be
=Q4 - Q1
= 2714 - 1973
= 741
Hence, Option- A 741 copies higher than in Quarter 1 of the next year
(4)
Refer to Exhibit 4. The sales in Quarter 3 of the next year are predicted to be
=Q3 - Q2
= 2991 - 1216
= 1775
Hence, Option- B 1775 copies higher than in Quarter 2 of the next year
(5)
Refer to Exhibit 4. The estimated growth in the textbook sales is
Hence, Option-A 26 copies per quarter
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