Air travel on Mountain Airlines for the past 18 weeks was: b. Use an appropriate technique to develop a forecast for the expected number of passengers for the next three weeks. (Round your intermediate calculations to 4 decimal places and final answers to 2 decimal places.)
Expert Answer
b)
X | Y | XY | X2 |
1 | 405 | 405 | 1 |
2 | 410 | 820 | 4 |
3 | 420 | 1260 | 9 |
4 | 415 | 1660 | 16 |
5 | 412 | 2060 | 25 |
6 | 420 | 2520 | 36 |
7 | 424 | 2968 | 49 |
8 | 433 | 3464 | 64 |
9 | 438 | 3942 | 81 |
10 | 440 | 4400 | 100 |
11 | 446 | 4906 | 121 |
12 | 451 | 5412 | 144 |
13 | 455 | 5915 | 169 |
14 | 464 | 6496 | 196 |
15 | 466 | 6990 | 225 |
16 | 474 | 7584 | 256 |
17 | 476 | 8092 | 289 |
18 | 482 | 8676 | 324 |
X = 171 | Y=7931 | XY=77570 | X2=2109 |
b = (nΣXY – ΣXΣY) / [nΣX2 – (ΣX)2]
= (18 (77570) – (171X7931)
18(2019 )- (171)2
= 1396260 – 1356201
36342-29241
= 40059
7101
= 5.64
a = (ΣY / n) – b (ΣX / n)
7931/18 – 5.64 (171/18)
= 440.62 – 53.68 = 387.04
19 = 387.04 + 5.64(19) = 494.2
20 = 387.04 + 5.64 (20) = 499.84
21. 387.04 + 5.64 (21) = 505.48