Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.988844701934931 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 63.8 | 63.0936939357523 | 0.706306064247656 |
14 | 63.8 | 63.7309044140098 | 0.0690955859902189 |
15 | 62.7 | 62.5367208760285 | 0.163279123971456 |
16 | 62.3 | 61.9081809584087 | 0.391819041591312 |
17 | 62.4 | 62.0649201611181 | 0.335079838881875 |
18 | 64.8 | 64.5915600361738 | 0.208439963826223 |
19 | 66.4 | 64.8631121029809 | 1.53688789701907 |
20 | 65.1 | 66.6807553996375 | -1.5807553996375 |
21 | 67.4 | 63.9874763934871 | 3.41252360651288 |
22 | 68.8 | 67.0292285465762 | 1.77077145342381 |
23 | 68.6 | 72.8153876532482 | -4.21538765324817 |
24 | 71.5 | 71.7386785787489 | -0.238678578748889 |
25 | 75 | 69.4733821466437 | 5.52661785335627 |
26 | 84.3 | 74.807015698106 | 9.492984301894 |
27 | 84 | 82.4381482556017 | 1.56185174439834 |
28 | 79.1 | 82.8325520601034 | -3.73255206010342 |
29 | 78.8 | 78.772491388627 | 0.0275086113729941 |
30 | 82.7 | 81.4947723180848 | 1.2052276819152 |
31 | 85.3 | 82.7095423162004 | 2.59045768379957 |
32 | 84.5 | 85.527229563598 | -1.02722956359804 |
33 | 80.8 | 83.0306970729376 | -2.23069707293764 |
34 | 70.1 | 80.3481222047624 | -10.2481222047624 |
35 | 68.2 | 74.2553442992539 | -6.05534429925395 |
36 | 68.1 | 71.3898324527334 | -3.28983245273341 |
37 | 72.3 | 66.2737305741661 | 6.0262694258339 |
38 | 73.1 | 72.148338619466 | 0.951661380534006 |
39 | 71.5 | 71.5279313138994 | -0.0279313138993729 |
40 | 74.1 | 70.5112282020442 | 3.58877179795581 |
41 | 80.3 | 73.7713469708177 | 6.52865302918228 |
42 | 80.6 | 82.9790442269433 | -2.37904422694329 |
43 | 81.4 | 80.6703395542633 | 0.729660445736741 |
44 | 87.4 | 81.6107071777521 | 5.78929282224794 |
45 | 89.3 | 85.7810038841918 | 3.51899611580819 |
46 | 93.2 | 88.5880460157152 | 4.61195398428484 |
47 | 92.8 | 98.4765899878402 | -5.67658998784019 |
48 | 96.8 | 97.0444279054893 | -0.244427905489303 |
49 | 100.3 | 94.170163011132 | 6.12983698886795 |
50 | 95.6 | 99.9227044669906 | -4.32270446699056 |
51 | 89 | 93.5027507778352 | -4.50275077783525 |
52 | 87.4 | 87.7973454822356 | -0.397345482235551 |
53 | 86.7 | 87.0457452085662 | -0.345745208566242 |
54 | 92.8 | 89.5441903006457 | 3.25580969935429 |
55 | 98.6 | 92.8107518424496 | 5.78924815755042 |
56 | 100.8 | 98.8033299118525 | 1.99667008814748 |
57 | 105.5 | 98.9115782520323 | 6.58842174796773 |
58 | 107.8 | 104.593729692938 | 3.20627030706181 |
59 | 113.7 | 113.742179554122 | -0.0421795541223702 |
60 | 120.3 | 118.829027673692 | 1.47097232630811 |
61 | 126.5 | 117.02403123047 | 9.47596876952986 |
62 | 134.8 | 125.779170567959 | 9.0208294320414 |
63 | 134.5 | 131.553338683648 | 2.94666131635242 |
64 | 133.1 | 132.499996381007 | 0.600003618993412 |
65 | 128.8 | 132.402311807597 | -3.60231180759718 |
66 | 127.1 | 132.979436686886 | -5.87943668688646 |
67 | 129.1 | 127.157677672096 | 1.94232232790367 |
68 | 128.4 | 129.284678246676 | -0.884678246676344 |
69 | 126.5 | 126.015314517151 | 0.48468548284869 |
70 | 117.1 | 125.394464232703 | -8.29446423270306 |
71 | 114.2 | 123.626528165896 | -9.42652816589558 |
72 | 109.1 | 119.476161149293 | -10.3761611492931 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 106.357675912918 | 97.4855995376184 | 115.229752288218 |
74 | 105.87729007749 | 93.4448422094207 | 118.30973794556 |
75 | 103.413738185619 | 88.457116186077 | 118.370360185161 |
76 | 101.945967488047 | 84.8221158691816 | 119.069819106912 |
77 | 101.445136135106 | 82.320430788624 | 120.569841481588 |
78 | 104.743815010969 | 83.1878974265932 | 126.299732595344 |
79 | 104.859293118014 | 81.6188868600192 | 128.099699376008 |
80 | 105.054932270503 | 80.2324414526343 | 129.877423088371 |
81 | 103.159154044106 | 77.3146999055709 | 129.003608182641 |
82 | 102.227946543952 | 75.2206914005785 | 129.235201687326 |
83 | 107.863295273292 | 78.1240251292598 | 137.602565417323 |
84 | 112.743946160039 | 67.6860278282645 | 157.801864491814 |