Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999949649180041 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 1.1938 | 1.2103 | -0.0165 |
3 | 1.202 | 1.19380083078853 | 0.00819916921147068 |
4 | 1.2271 | 1.20199958716511 | 0.0251004128348928 |
5 | 1.277 | 1.22709873617363 | 0.0499012638263674 |
6 | 1.265 | 1.27699748743045 | -0.0119974874304494 |
7 | 1.2684 | 1.26500060408333 | 0.00339939591667049 |
8 | 1.2811 | 1.26839982883763 | 0.0127001711623718 |
9 | 1.2727 | 1.28109936053597 | -0.00839936053596824 |
10 | 1.2611 | 1.27270042291469 | -0.01160042291469 |
11 | 1.2881 | 1.26110058409081 | 0.0269994159091942 |
12 | 1.3213 | 1.28809864055727 | 0.0332013594427294 |
13 | 1.2999 | 1.32129832828433 | -0.0213983282843282 |
14 | 1.3074 | 1.29990107742338 | 0.00749892257662488 |
15 | 1.3242 | 1.3073996224231 | 0.0168003775769008 |
16 | 1.3516 | 1.32419915408721 | 0.0274008459127866 |
17 | 1.3511 | 1.35159862034494 | -0.000498620344940637 |
18 | 1.3419 | 1.35110002510594 | -0.0092000251059432 |
19 | 1.3716 | 1.34190046322881 | 0.0296995367711921 |
20 | 1.3622 | 1.37159850460397 | -0.00939850460397107 |
21 | 1.3896 | 1.36220047322241 | 0.0273995267775866 |
22 | 1.4227 | 1.38959862041136 | 0.0331013795886399 |
23 | 1.4684 | 1.4226983333184 | 0.0457016666816039 |
24 | 1.457 | 1.46839769888361 | -0.0113976988836089 |
25 | 1.4718 | 1.45700057388348 | 0.0147994261165154 |
26 | 1.4748 | 1.47179925483676 | 0.00300074516323989 |
27 | 1.5527 | 1.47479984891002 | 0.0779001510899793 |
28 | 1.5751 | 1.55269607766352 | 0.0224039223364823 |
29 | 1.5557 | 1.57509887194414 | -0.01939887194414 |
30 | 1.5553 | 1.55570097674911 | -0.000400976749108883 |
31 | 1.577 | 1.55530002018951 | 0.021699979810492 |
32 | 1.4975 | 1.57699890738822 | -0.0794989073882233 |
33 | 1.4369 | 1.49750400283517 | -0.0606040028351729 |
34 | 1.3322 | 1.43690305146124 | -0.104703051461235 |
35 | 1.2732 | 1.33220527188449 | -0.0590052718844931 |
36 | 1.3449 | 1.27320297096382 | 0.0716970290361787 |
37 | 1.3239 | 1.3448963899958 | -0.0209963899957992 |
38 | 1.2785 | 1.32390105718545 | -0.0454010571854526 |
39 | 1.305 | 1.27850228598046 | 0.0264977140195437 |
40 | 1.319 | 1.30499866581837 | 0.0140013341816279 |
41 | 1.365 | 1.31899929502134 | 0.0460007049786566 |
42 | 1.4016 | 1.36499768382679 | 0.0366023161732143 |
43 | 1.4088 | 1.40159815704337 | 0.00720184295663184 |
44 | 1.4268 | 1.4087996373813 | 0.0180003626186982 |
45 | 1.4562 | 1.42679909366698 | 0.0294009063330172 |
46 | 1.4816 | 1.45619851964026 | 0.0254014803597415 |
47 | 1.4914 | 1.48159872101464 | 0.00980127898536431 |
48 | 1.4614 | 1.49139950649757 | -0.0299995064975664 |
49 | 1.4272 | 1.46140151049975 | -0.0342015104997506 |
50 | 1.3686 | 1.4272017220741 | -0.0586017220740975 |
51 | 1.3569 | 1.36860295064476 | -0.0117029506447575 |
52 | 1.3406 | 1.35690058925316 | -0.0163005892531609 |
53 | 1.2565 | 1.34060082074803 | -0.0841008207480347 |
54 | 1.2209 | 1.25650423454528 | -0.0356042345452838 |
55 | 1.277 | 1.2209017927024 | 0.0560982072975964 |
56 | 1.2894 | 1.27699717540926 | 0.0124028245907359 |
57 | 1.3067 | 1.28939937550761 | 0.0173006244923879 |
58 | 1.3898 | 1.30669912889937 | 0.0831008711006289 |
59 | 1.3661 | 1.389795815803 | -0.0236958158030005 |
60 | 1.322 | 1.36610119310376 | -0.0441011931037554 |
61 | 1.336 | 1.32200222053123 | 0.013997779468766 |
62 | 1.3649 | 1.33599929520033 | 0.0289007047996739 |
63 | 1.3999 | 1.36489854482582 | 0.035001455174184 |
64 | 1.4442 | 1.39989823764803 | 0.0443017623519677 |
65 | 1.4349 | 1.44419776936994 | -0.00929776936993987 |
66 | 1.4388 | 1.43490046815031 | 0.00389953184968839 |
67 | 1.4264 | 1.43879980365537 | -0.0123998036553741 |
68 | 1.4343 | 1.42640062434028 | 0.00789937565971854 |
69 | 1.377 | 1.43429960225996 | -0.0572996022599583 |
70 | 1.3706 | 1.37700288508196 | -0.00640288508195708 |
71 | 1.3556 | 1.37060032239051 | -0.0150003223905142 |
72 | 1.3179 | 1.35560075527853 | -0.0377007552785318 |
73 | 1.2905 | 1.31790189826394 | -0.0274018982639415 |
74 | 1.3224 | 1.29050137970805 | 0.031898620291954 |
75 | 1.3201 | 1.32239839387831 | -0.00229839387831277 |
76 | 1.3162 | 1.32010011572602 | -0.00390011572601634 |
77 | 1.2789 | 1.31620019637402 | -0.0373001963740249 |
78 | 1.2526 | 1.27890187809547 | -0.026301878095472 |
79 | 1.2288 | 1.25260132432113 | -0.0238013243211286 |
80 | 1.24 | 1.2288011984162 | 0.0111988015838045 |
81 | 1.2856 | 1.23999943613116 | 0.0456005638688424 |
82 | 1.2974 | 1.28559770397422 | 0.0118022960257813 |
83 | 1.2828 | 1.29739940574472 | -0.0145994057447179 |
84 | 1.3119 | 1.28280073509205 | 0.02909926490795 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 1.31189853482815 | 1.24242563615994 | 1.38137143349637 |
86 | 1.31189853482815 | 1.21365149275489 | 1.41014557690142 |
87 | 1.31189853482815 | 1.19157198371441 | 1.43222508594189 |
88 | 1.31189853482815 | 1.17295798448481 | 1.45083908517149 |
89 | 1.31189853482815 | 1.15655866822434 | 1.46723840143197 |
90 | 1.31189853482815 | 1.14173252240712 | 1.48206454724918 |
91 | 1.31189853482815 | 1.12809845482258 | 1.49569861483372 |
92 | 1.31189853482815 | 1.1154081609244 | 1.5083889087319 |
93 | 1.31189853482815 | 1.10348916684384 | 1.52030790281246 |
94 | 1.31189853482815 | 1.09221589488953 | 1.53158117476677 |
95 | 1.31189853482815 | 1.08149354374249 | 1.54230352591381 |
96 | 1.31189853482815 | 1.0712484620171 | 1.5525486076392 |