Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.0767906267090112 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 4.96 | 4.95 | 0.00999999999999979 |
4 | 4.93 | 4.96076790626709 | -0.0307679062670907 |
5 | 4.95 | 4.92840521946232 | 0.0215947805376846 |
6 | 4.96 | 4.95006349619345 | 0.00993650380655176 |
7 | 4.97 | 4.96082652654805 | 0.00917347345195019 |
8 | 5.01 | 4.97153096332352 | 0.0384690366764762 |
9 | 5.04 | 5.0144850247588 | 0.0255149752411983 |
10 | 5.07 | 5.04644433569804 | 0.0235556643019619 |
11 | 5.07 | 5.07825318992233 | -0.0082531899223337 |
12 | 5.08 | 5.07761942229585 | 0.00238057770415079 |
13 | 5.07 | 5.08780222834968 | -0.0178022283496801 |
14 | 5.08 | 5.07643518407789 | 0.00356481592210844 |
15 | 5.09 | 5.08670892852665 | 0.00329107147334717 |
16 | 5.09 | 5.09696165196763 | -0.00696165196763499 |
17 | 5.14 | 5.09642706235011 | 0.0435729376498895 |
18 | 5.17 | 5.1497730555398 | 0.0202269444602026 |
19 | 5.17 | 5.18132629528131 | -0.0113262952813056 |
20 | 5.18 | 5.18045654196836 | -0.000456541968362423 |
21 | 5.18 | 5.19042148382449 | -0.0104214838244925 |
22 | 5.18 | 5.18962121155037 | -0.00962121155037199 |
23 | 5.17 | 5.18888239268572 | -0.0188823926857191 |
24 | 5.17 | 5.17743240191762 | -0.00743240191761707 |
25 | 5.18 | 5.17686166311641 | 0.00313833688358933 |
26 | 5.18 | 5.18710265797252 | -0.00710265797252507 |
27 | 5.26 | 5.18655724041551 | 0.0734427595844851 |
28 | 5.26 | 5.27219695595125 | -0.0121969559512465 |
29 | 5.26 | 5.27126034405981 | -0.0112603440598082 |
30 | 5.28 | 5.2703956551825 | 0.00960434481750383 |
31 | 5.28 | 5.29113317884016 | -0.0111331788401623 |
32 | 5.31 | 5.29027825505976 | 0.0197217449402372 |
33 | 5.37 | 5.32179270021352 | 0.0482072997864815 |
34 | 5.42 | 5.38549456897607 | 0.0345054310239279 |
35 | 5.43 | 5.43814426264926 | -0.00814426264926382 |
36 | 5.43 | 5.44751885961634 | -0.0175188596163443 |
37 | 5.44 | 5.44617357540718 | -0.00617357540717745 |
38 | 5.5 | 5.45569950268263 | 0.0443004973173746 |
39 | 5.52 | 5.51910136563515 | 0.000898634364852491 |
40 | 5.55 | 5.53917037233121 | 0.0108296276687936 |
41 | 5.55 | 5.57000198622692 | -0.0200019862269185 |
42 | 5.55 | 5.56846602116913 | -0.0184660211691288 |
43 | 5.55 | 5.56704800383073 | -0.0170480038307295 |
44 | 5.55 | 5.56573887693243 | -0.0157388769324296 |
45 | 5.55 | 5.56453027870909 | -0.0145302787090928 |
46 | 5.55 | 5.56341448950076 | -0.0134144895007644 |
47 | 5.55 | 5.56238438244502 | -0.0123843824450196 |
48 | 5.56 | 5.56143337795566 | -0.00143337795566278 |
49 | 5.57 | 5.57132330796414 | -0.00132330796413527 |
50 | 5.59 | 5.58122169031624 | 0.00877830968375815 |
51 | 5.69 | 5.6018957822183 | 0.088104217781698 |
52 | 5.73 | 5.70866136031747 | 0.0213386396825337 |
53 | 5.76 | 5.75029996783181 | 0.00970003216819304 |
54 | 5.77 | 5.7810448393811 | -0.0110448393810998 |
55 | 5.77 | 5.79019669924312 | -0.0201966992431242 |
56 | 5.79 | 5.78864578205079 | 0.00135421794920898 |
57 | 5.79 | 5.80874977329581 | -0.018749773295812 |
58 | 5.79 | 5.80730996645377 | -0.0173099664537748 |
59 | 5.79 | 5.80598072328148 | -0.0159807232814773 |
60 | 5.79 | 5.80475355352543 | -0.0147535535254288 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 5.80362061890403 | 5.75749807777033 | 5.84974316003772 |
62 | 5.81724123780805 | 5.74946341341846 | 5.88501906219765 |
63 | 5.83086185671208 | 5.74469502765494 | 5.91702868576921 |
64 | 5.84448247561611 | 5.74130765287507 | 5.94765729835714 |
65 | 5.85810309452013 | 5.73860461449916 | 5.9776015745411 |
66 | 5.87172371342416 | 5.73624552749193 | 6.00720189935639 |
67 | 5.88534433232819 | 5.73403838779582 | 6.03665027686055 |
68 | 5.89896495123221 | 5.73186490609745 | 6.06606499636697 |
69 | 5.91258557013624 | 5.72964777754597 | 6.09552336272651 |
70 | 5.92620618904027 | 5.72733434621979 | 6.12507803186074 |
71 | 5.93982680794429 | 5.72488766491595 | 6.15476595097263 |
72 | 5.95344742684832 | 5.72228125205337 | 6.18461360164327 |