The table shows quarterly grain shipment for a farming cooperative. The regressi
ID: 3142143 • Letter: T
Question
The table shows quarterly grain shipment for a farming cooperative. The regression line (liner equation) for the deseasonalized values is Y = 2.12x + 244. Rounded to two decimal places, what is the forecast for Quarter I, and quarter II and quarter III, and IV , Year 6?
period quarter demand seasonal factor (index)
1 I 200 0.81
2 II 250 0.99
3 III 210 0.84
4 IV 340 1.36
5 I 210 0.81
6 II 252 0.99
7 III 212 0.84
8 IV 360 1.36
9 I 215 0.81
10 II 260 0.99
11 III 220 0.84
12 IV 358 1.36
13 I 225 0.81
14 II 272 0.99
15 III 233 0.84
16 IV 372 1.36
17 I 232 0.81
18 II 284 0.99
19 III 240 0.84
20 IV 381 1.36
21 I 0.81
22 II 0.99
23 III 0.84
24 IV 1.36
Explanation / Answer
Quarter I, and quarter II and quarter III, and IV of Year 6 means period=21,22,23,24 respectively.
So to find forecast of Quarter I, quarter II, quarter III, and IV we just plug x=21,22,23,24 respectively then simplify to get demand value.
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