Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.422497061600848 |
beta | 0.0909939654833242 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 16.683 | 17.39 | -0.707000000000001 |
4 | 15.487 | 18.4491141865388 | -2.96211418653884 |
5 | 15.684 | 18.4415717146605 | -2.75757171466052 |
6 | 15.962 | 18.4144338655929 | -2.45243386559287 |
7 | 12 | 18.4219328184999 | -6.42193281849994 |
8 | 13.769 | 16.505440956064 | -2.73644095606400 |
9 | 14.031 | 16.0408569708472 | -2.00985697084721 |
10 | 16.078 | 15.8059842701906 | 0.272015729809430 |
11 | 15.827 | 16.545653639023 | -0.718653639022998 |
12 | 13.149 | 16.8391396991379 | -3.69013969913790 |
13 | 15.969 | 15.7353153791593 | 0.233684620840727 |
14 | 16.628 | 16.2982792357891 | 0.329720764210869 |
15 | 16.67 | 16.9144940910722 | -0.244494091072188 |
16 | 16.487 | 17.2787053594341 | -0.791705359434147 |
17 | 16.883 | 17.3812846132337 | -0.498284613233697 |
18 | 16.201 | 17.5886768760961 | -1.38767687609613 |
19 | 12.168 | 17.3669547236250 | -5.19895472362505 |
20 | 14.01 | 15.3351067131389 | -1.32510671313893 |
21 | 16.556 | 14.8890047965905 | 1.66699520340947 |
22 | 17.404 | 15.7711442500186 | 1.63285574998144 |
23 | 16.435 | 16.7016345064469 | -0.266634506446856 |
24 | 13.123 | 16.8193450319068 | -3.69634503190685 |
25 | 16.744 | 15.3459081250599 | 1.39809187494006 |
26 | 17.41 | 16.0786050408598 | 1.33139495914022 |
27 | 16.484 | 16.8343077629217 | -0.350307762921705 |
28 | 17.103 | 16.8660285555143 | 0.236971444485693 |
29 | 17.301 | 17.1549833796486 | 0.146016620351379 |
30 | 17.301 | 17.4111236205358 | -0.110123620535756 |
31 | 12.843 | 17.5548116946036 | -4.71181169460362 |
32 | 13.748 | 15.5731559718304 | -1.82515597183041 |
33 | 16.904 | 14.7409362669464 | 2.16306373305364 |
34 | 17.342 | 15.6768859680072 | 1.66511403199276 |
35 | 15.476 | 16.4664681647305 | -0.990468164730478 |
36 | 15.424 | 16.0959964518442 | -0.671996451844244 |
37 | 15.988 | 15.8342434112602 | 0.153756588739805 |
38 | 19.244 | 15.9272797272503 | 3.31672027274969 |
39 | 18.715 | 17.4841691653034 | 1.23083083469664 |
40 | 17.78 | 18.2070953462707 | -0.427095346270672 |
41 | 17.16 | 18.2131330422129 | -1.05313304221290 |
42 | 17.349 | 17.9141842851612 | -0.565184285161223 |
43 | 11.171 | 17.7996641134734 | -6.62866411347339 |
44 | 13.438 | 14.8685046404258 | -1.43050464042579 |
45 | 16.713 | 14.0785569729848 | 2.63444302701516 |
46 | 18.369 | 15.1073180777597 | 3.26168192224026 |
47 | 17.067 | 16.5264801003672 | 0.540519899632798 |
48 | 14.055 | 16.8167392805015 | -2.76173928050145 |
49 | 15.5 | 15.6056294691062 | -0.105629469106244 |
50 | 18.475 | 15.5126573568552 | 2.96234264314479 |
51 | 19.423 | 16.8297807710755 | 2.59321922892450 |
52 | 18.686 | 18.0906461187292 | 0.595353881270832 |
53 | 19.646 | 18.5303074187872 | 1.11569258121283 |
54 | 19.733 | 19.2327027382628 | 0.500297261737202 |
55 | 12.605 | 19.6943291131904 | -7.08932911319039 |
56 | 16.616 | 16.6768136353391 | -0.0608136353391231 |
57 | 19.156 | 16.6264873333610 | 2.52951266663903 |
58 | 21.348 | 17.7678125952709 | 3.58018740472914 |
59 | 20.049 | 19.4906840167211 | 0.55831598327892 |
60 | 18.02 | 19.9582879230864 | -1.93828792308639 |
61 | 20.262 | 19.2965671501876 | 0.965432849812373 |
62 | 21.789 | 19.8987756314555 | 1.89022436854452 |
63 | 20.603 | 20.9643748887044 | -0.361374888704443 |
64 | 21.928 | 21.0647871328082 | 0.863212867191827 |
65 | 21.025 | 21.7157700505258 | -0.690770050525792 |
66 | 19.346 | 21.6836433160837 | -2.33764331608373 |
67 | 11.786 | 20.8658475097668 | -9.07984750976678 |
68 | 19.082 | 16.8504183833403 | 2.23158161665973 |
69 | 20.127 | 17.6998272732658 | 2.42717272673416 |
70 | 20.217 | 18.725184718636 | 1.49181528136400 |
71 | 20.385 | 19.4127087574372 | 0.972291242562768 |
72 | 16.653 | 19.9181148450569 | -3.26511484505695 |
73 | 13.065 | 18.50770300654 | -5.44270300654 |
74 | 20.275 | 15.9680235764518 | 4.30697642354823 |
75 | 21.776 | 17.7131354005906 | 4.06286459940941 |
76 | 20.26 | 19.5113062380879 | 0.748693761912065 |
77 | 22.523 | 19.9380329294702 | 2.58496707052975 |
78 | 23.033 | 21.2399579377352 | 1.79304206226475 |
79 | 14.133 | 22.2762298907614 | -8.14322989076142 |
80 | 20.11 | 18.801392248294 | 1.30860775170598 |
81 | 19.682 | 19.3702372467355 | 0.311762753264453 |
82 | 22.197 | 19.529903782697 | 2.66709621730300 |
83 | 17.212 | 20.7872274550166 | -3.57522745501657 |
84 | 11.784 | 19.2697392319153 | -7.4857392319153 |
85 | 15.467 | 15.8122844016269 | -0.345284401626868 |
86 | 17.002 | 15.3583764062496 | 1.64362359375035 |
87 | 15.952 | 15.8079647828127 | 0.144035217187284 |
88 | 18.767 | 15.6295188649385 | 3.13748113506152 |
89 | 20.605 | 16.8364145192089 | 3.76858548079106 |
90 | 19.809 | 18.4548319794322 | 1.35416802056776 |
91 | 14.233 | 19.1052257175672 | -4.8722257175672 |
92 | 19.311 | 16.9376752235585 | 2.37332477644154 |
93 | 20.827 | 17.9225902417305 | 2.90440975826947 |
94 | 23.388 | 19.2435462167605 | 4.14445378323948 |
95 | 20.181 | 21.2477493606671 | -1.06674936066707 |
96 | 14.344 | 21.0092236478139 | -6.66522364781392 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
97 | 18.1491165886616 | 12.3720431912434 | 23.9261899860799 |
98 | 18.1050469356232 | 11.7437905312065 | 24.4663033400399 |
99 | 18.0609772825848 | 11.0760819970093 | 25.0458725681603 |
100 | 18.0169076295464 | 10.3721205698262 | 25.6616946892666 |
101 | 17.972837976508 | 9.6345972158375 | 26.3110787371785 |
102 | 17.9287683234696 | 8.86577288267193 | 26.9917637642672 |
103 | 17.8846986704312 | 8.06755518845824 | 27.7018421524041 |
104 | 17.8406290173928 | 7.24156428666193 | 28.4396937481236 |
105 | 17.7965593643543 | 6.38918708815525 | 29.2039316405534 |
106 | 17.7524897113159 | 5.51162094245375 | 29.9933584801781 |
107 | 17.7084200582775 | 4.60990846731831 | 30.8069316492367 |
108 | 17.6643504052391 | 3.6849652213371 | 31.6437355891411 |