Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.345911531677233 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 266674 | 272567 | -5893 |
3 | 301601 | 270528.543343826 | 31072.4566561739 |
4 | 322421 | 281276.864418738 | 41144.1355812624 |
5 | 313776 | 295509.095377188 | 18266.9046228122 |
6 | 300156 | 301827.828334267 | -1671.82833426673 |
7 | 315745 | 301249.523634459 | 14495.4763655409 |
8 | 299214 | 306263.676066454 | -7049.6760664545 |
9 | 295184 | 303825.111820479 | -8641.11182047887 |
10 | 340003 | 300836.051595263 | 39166.9484047372 |
11 | 332748 | 314384.350709069 | 18363.6492909314 |
12 | 316337 | 320736.548762478 | -4399.54876247817 |
13 | 293572 | 319214.694111361 | -25642.6941113606 |
14 | 308713 | 310344.590514969 | -1631.59051496908 |
15 | 354188 | 309780.204540866 | 44407.7954591339 |
16 | 334540 | 325141.373086544 | 9398.62691345566 |
17 | 313285 | 328392.466517841 | -15107.4665178406 |
18 | 337881 | 323166.619634892 | 14714.3803651081 |
19 | 356955 | 328256.493484668 | 28698.5065153322 |
20 | 323661 | 338183.637830235 | -14522.6378302354 |
21 | 296034 | 333160.089934385 | -37126.0899343849 |
22 | 377623 | 320317.747299995 | 57305.2527000049 |
23 | 342590 | 340140.295034605 | 2449.70496539533 |
24 | 300905 | 340987.676231342 | -40082.6762313418 |
25 | 309470 | 327122.616302436 | -17652.6163024358 |
26 | 271492 | 321016.37275915 | -49524.3727591497 |
27 | 307759 | 303885.321122678 | 3873.678877322 |
28 | 326106 | 305225.271316358 | 20880.7286836418 |
29 | 335576 | 312448.156157853 | 23127.8438421466 |
30 | 310485 | 320448.344045682 | -9963.34404568223 |
31 | 335173 | 317001.908446213 | 18171.091553787 |
32 | 298344 | 323287.498557831 | -24943.4985578307 |
33 | 288269 | 314659.254766303 | -26390.2547663026 |
34 | 319410 | 305530.561318739 | 13879.4386812615 |
35 | 327692 | 310331.619211794 | 17360.3807882061 |
36 | 315401 | 316336.775120742 | -935.77512074227 |
37 | 277720 | 316013.079715421 | -38293.0797154208 |
38 | 260573 | 302767.061858421 | -42194.0618584212 |
39 | 318025 | 288171.649293291 | 29853.3507067092 |
40 | 300264 | 298498.267561946 | 1765.73243805382 |
41 | 317640 | 299109.054774126 | 18530.9452258744 |
42 | 303273 | 305519.122420635 | -2246.12242063473 |
43 | 315089 | 304742.162773778 | 10346.8372262216 |
44 | 275840 | 308321.253086716 | -32481.2530867157 |
45 | 292823 | 297085.613080694 | -4262.61308069399 |
46 | 339759 | 295611.126061004 | 44147.8739389963 |
47 | 328032 | 310882.384755535 | 17149.6152444647 |
48 | 344675 | 316814.634432423 | 27860.3655675767 |
49 | 260952 | 326451.856158991 | -65499.8561589913 |
50 | 275466 | 303794.700590396 | -28328.7005903962 |
51 | 331940 | 293995.476378746 | 37944.5236212536 |
52 | 347644 | 307120.924663337 | 40523.0753366628 |
53 | 338063 | 321138.323721314 | 16924.6762786859 |
54 | 384283 | 326992.764416016 | 57290.2355839844 |
55 | 398482 | 346810.117557021 | 51671.8824429788 |
56 | 347062 | 364684.017557518 | -17622.0175575179 |
57 | 350731 | 358588.358472954 | -7857.35847295378 |
58 | 368799 | 355870.407568637 | 12928.5924313628 |
59 | 387710 | 360342.556779001 | 27367.4432209994 |
60 | 362988 | 369809.270981666 | -6821.27098166622 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 367449.714688413 | 312926.359628448 | 421973.069748377 |
62 | 367449.714688413 | 309756.512740999 | 425142.916635826 |
63 | 367449.714688413 | 306751.981164869 | 428147.448211957 |
64 | 367449.714688413 | 303889.316964317 | 431010.112412509 |
65 | 367449.714688413 | 301150.141063876 | 433749.28831295 |
66 | 367449.714688413 | 298519.730162479 | 436379.699214347 |
67 | 367449.714688413 | 295986.073088676 | 438913.356288149 |
68 | 367449.714688413 | 293539.218988237 | 441360.210388589 |
69 | 367449.714688413 | 291170.814076278 | 443728.615300547 |
70 | 367449.714688413 | 288873.76428025 | 446025.665096575 |
71 | 367449.714688413 | 286641.984324938 | 448257.445051888 |
72 | 367449.714688413 | 284470.207637297 | 450429.221739529 |