Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.851325467801 |
beta | 0.618181084049635 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 4.87 | 5.22 | -0.350000000000001 |
4 | 4.24 | 4.33784043107215 | -0.097840431072151 |
5 | 4.02 | 3.61885991853333 | 0.401140081466671 |
6 | 3.74 | 3.53578353891729 | 0.204216461082708 |
7 | 3.45 | 3.39253473706037 | 0.0574652629396337 |
8 | 3.34 | 3.15459533638897 | 0.185404663611034 |
9 | 3.21 | 3.12314753010292 | 0.0868524698970847 |
10 | 3.12 | 3.05350786739542 | 0.0664921326045795 |
11 | 3.04 | 3.00152796510517 | 0.038472034894832 |
12 | 2.97 | 2.94594064480786 | 0.0240593551921378 |
13 | 2.93 | 2.89074523948681 | 0.0392547605131908 |
14 | 2.95 | 2.86914480208727 | 0.0808551979127348 |
15 | 2.92 | 2.92551180839093 | -0.0055118083909278 |
16 | 2.9 | 2.90545166505658 | -0.00545166505658123 |
17 | 2.95 | 2.88257365751158 | 0.0674263424884161 |
18 | 2.91 | 2.95722323763859 | -0.0472232376385935 |
19 | 2.89 | 2.90941638119539 | -0.019416381195394 |
20 | 2.84 | 2.87506388680506 | -0.0350638868050623 |
21 | 2.82 | 2.80893708494215 | 0.0110629150578521 |
22 | 2.78 | 2.7879013210747 | -0.00790132107470143 |
23 | 2.86 | 2.74656256568942 | 0.113437434310581 |
24 | 2.87 | 2.86822167595708 | 0.00177832404292344 |
25 | 2.94 | 2.89575842640542 | 0.0442415735945803 |
26 | 3.04 | 2.98272838160046 | 0.057271618399545 |
27 | 3.12 | 3.11093166942833 | 0.00906833057166834 |
28 | 3.19 | 3.20287069095716 | -0.0128706909571554 |
29 | 3.27 | 3.26935896370929 | 0.000641036290708552 |
30 | 3.34 | 3.34768747426601 | -0.00768747426600802 |
31 | 3.4 | 3.41487999922197 | -0.0148799992219666 |
32 | 3.55 | 3.46811839820219 | 0.0818816017978148 |
33 | 3.64 | 3.64682451326937 | -0.00682451326936917 |
34 | 3.76 | 3.74642129430716 | 0.0135787056928418 |
35 | 3.78 | 3.87053396553496 | -0.0905339655349602 |
36 | 3.77 | 3.85836725937049 | -0.0883672593704854 |
37 | 3.81 | 3.80153979609434 | 0.00846020390565627 |
38 | 3.81 | 3.83159639772062 | -0.0215963977206242 |
39 | 3.82 | 3.82469944139817 | -0.00469944139817136 |
40 | 3.96 | 3.82971410378592 | 0.13028589621408 |
41 | 3.86 | 4.01821121048025 | -0.158211210480254 |
42 | 3.84 | 3.87784104693309 | -0.0378410469330852 |
43 | 3.68 | 3.82003033651071 | -0.140030336510709 |
44 | 3.56 | 3.60152905395979 | -0.0415290539597932 |
45 | 3.48 | 3.4450287895588 | 0.0349712104411988 |
46 | 3.4 | 3.3720595628795 | 0.0279404371204981 |
47 | 3.42 | 3.30780916587657 | 0.112190834123432 |
48 | 3.2 | 3.37432631808178 | -0.174326318081775 |
49 | 3.11 | 3.10518083486076 | 0.00481916513924041 |
50 | 3.1 | 2.9910826618911 | 0.108917338108897 |
51 | 2.99 | 3.02292620173731 | -0.0329262017373142 |
52 | 3.1 | 2.91668654280606 | 0.183313457193941 |
53 | 3 | 3.09101019082689 | -0.0910101908268879 |
54 | 3.05 | 2.98389889735606 | 0.0661011026439438 |
55 | 3.1 | 3.04532769475547 | 0.0546723052445333 |
56 | 3.2 | 3.12579944039292 | 0.0742005596070796 |
57 | 3.1 | 3.26194585971904 | -0.161945859719041 |
58 | 3.3 | 3.11182703603576 | 0.18817296396424 |
59 | 3.13 | 3.35880369053301 | -0.228803690533009 |
60 | 3.14 | 3.1303842261802 | 0.00961577381980483 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 3.10999784887603 | 2.88846637403617 | 3.3315293237159 |
62 | 3.08142531842646 | 2.70431534204386 | 3.45853529480905 |
63 | 3.05285278797688 | 2.48707913004038 | 3.61862644591338 |
64 | 3.0242802575273 | 2.24330360924622 | 3.80525690580839 |
65 | 2.99570772707773 | 1.97645768348844 | 4.01495777066702 |
66 | 2.96713519662815 | 1.68880705087018 | 4.24546334238612 |
67 | 2.93856266617858 | 1.38200693205467 | 4.49511840030249 |
68 | 2.909990135729 | 1.05734769732359 | 4.76263257413441 |
69 | 2.88141760527942 | 0.715877894419765 | 5.04695731613908 |
70 | 2.85284507482985 | 0.358474393624844 | 5.34721575603485 |
71 | 2.82427254438027 | -0.0141138299614303 | 5.66265891872198 |
72 | 2.7957000139307 | -0.401236523025212 | 5.9926365508866 |