Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.644729072186909 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 87.6 | 87.4724469700408 | 0.127553029959202 |
14 | 85.4 | 85.5382562478315 | -0.138256247831535 |
15 | 86.1 | 86.3157813753947 | -0.215781375394712 |
16 | 86.7 | 86.7741529029184 | -0.0741529029184278 |
17 | 89.1 | 88.9413142914888 | 0.158685708511157 |
18 | 103.7 | 103.666075891299 | 0.0339241087009725 |
19 | 86.9 | 89.278745363225 | -2.37874536322504 |
20 | 85.2 | 86.4840624504951 | -1.28406245049513 |
21 | 80.8 | 80.4169163609974 | 0.383083639002592 |
22 | 91.2 | 87.5462356294813 | 3.65376437051872 |
23 | 102.8 | 99.7668833134924 | 3.03311668650763 |
24 | 182.5 | 189.358002003619 | -6.85800200361865 |
25 | 80.9 | 86.6391802311585 | -5.73918023115847 |
26 | 83.1 | 80.9374978762835 | 2.16250212371654 |
27 | 88.3 | 83.1386204143813 | 5.1613795856187 |
28 | 86.6 | 87.1170957441602 | -0.51709574416023 |
29 | 93 | 89.0836078855098 | 3.91639211449022 |
30 | 105.3 | 106.599044512895 | -1.29904451289522 |
31 | 93.8 | 90.1777204327327 | 3.6222795672673 |
32 | 86.4 | 91.583542678437 | -5.18354267843705 |
33 | 87 | 83.4301281740665 | 3.56987182593353 |
34 | 96.7 | 94.2344732208526 | 2.46552677914741 |
35 | 100.5 | 105.939005876964 | -5.43900587696407 |
36 | 196.7 | 186.194541374702 | 10.5054586252984 |
37 | 86.8 | 89.359567826622 | -2.55956782662197 |
38 | 88.2 | 88.5734116381013 | -0.37341163810126 |
39 | 93.8 | 90.2513582201432 | 3.54864177985682 |
40 | 85 | 91.1089397508686 | -6.10893975086857 |
41 | 90.4 | 91.0326108358374 | -0.632610835837426 |
42 | 115.9 | 103.421510198418 | 12.4784898015819 |
43 | 94.9 | 96.7900562672123 | -1.8900562672123 |
44 | 87.7 | 91.3667883309254 | -3.66678833092544 |
45 | 91.7 | 87.2163764241893 | 4.48362357581071 |
46 | 95.9 | 98.4941888530737 | -2.59418885307366 |
47 | 106.8 | 104.071360554321 | 2.72863944567895 |
48 | 204.5 | 199.869019423906 | 4.63098057609446 |
49 | 90.2 | 91.2018616197427 | -1.00186161974266 |
50 | 90.5 | 92.2696540844687 | -1.76965408446871 |
51 | 93.2 | 94.5204417166908 | -1.32044171669081 |
52 | 97.8 | 88.7165094348287 | 9.08349056517127 |
53 | 99.4 | 101.040170174393 | -1.64017017439268 |
54 | 120 | 118.941042126819 | 1.05895787318140 |
55 | 108.2 | 99.1997715829135 | 9.0002284170865 |
56 | 98.5 | 99.6191824008073 | -1.11918240080726 |
57 | 104.3 | 100.097826923268 | 4.20217307673171 |
58 | 102.9 | 109.380095146458 | -6.4800951464576 |
59 | 111.1 | 115.218063119950 | -4.11806311994972 |
60 | 188.1 | 212.369097414048 | -24.2690974140483 |
61 | 93.8 | 87.3862583315429 | 6.41374166845712 |
62 | 94.5 | 92.9762447806444 | 1.52375521935565 |
63 | 112.4 | 97.643421997561 | 14.7565780024390 |
64 | 102.5 | 105.491389777753 | -2.99138977775341 |
65 | 115.8 | 106.373629935142 | 9.4263700648576 |
66 | 136.5 | 134.989985668953 | 1.51001433104702 |
67 | 122.1 | 115.826677184015 | 6.27332281598508 |
68 | 110.6 | 109.926902339804 | 0.673097660196191 |
69 | 116.4 | 113.78632567993 | 2.61367432007010 |
70 | 112.6 | 118.451713817369 | -5.85171381736859 |
71 | 121.5 | 126.745246385535 | -5.24524638553484 |
72 | 199.3 | 225.488196993613 | -26.1881969936130 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 99.3305840296409 | 86.2244507253583 | 112.436717333924 |
74 | 99.0287314660762 | 83.446171141228 | 114.611291790924 |
75 | 107.331671700762 | 88.9118834927104 | 125.751459908814 |
76 | 99.6983844444636 | 80.2525330254099 | 119.144235863517 |
77 | 106.545871233623 | 84.4244622858312 | 128.667280181415 |
78 | 124.686876142073 | 98.1335032457983 | 151.240249038348 |
79 | 107.764713374511 | 82.7851607369448 | 132.744266012077 |
80 | 97.2247580979414 | 72.7618566929547 | 121.687659502928 |
81 | 100.823394425824 | 74.2155591368782 | 127.431229714770 |
82 | 100.733141895246 | 72.8233085780659 | 128.642975212427 |
83 | 111.668350183227 | 79.9412958734655 | 143.395404492989 |
84 | 197.989939633358 | -178.160681586067 | 574.140560852784 |