Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.39496296829087 |
beta | 0.183094101313385 |
gamma | 0.644958687350449 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 87 | 86.241006491056 | 0.758993508944016 |
14 | 87.5 | 87.0197904141963 | 0.480209585803749 |
15 | 117.6 | 117.087414200422 | 0.512585799578034 |
16 | 103.4 | 103.528359905879 | -0.128359905879265 |
17 | 110.8 | 110.539593772998 | 0.260406227002349 |
18 | 112.6 | 111.568291084604 | 1.03170891539605 |
19 | 102.5 | 102.798455794746 | -0.298455794746488 |
20 | 112.4 | 110.275273260498 | 2.12472673950171 |
21 | 135.6 | 135.113841067739 | 0.48615893226085 |
22 | 105.1 | 117.588315576490 | -12.4883155764899 |
23 | 127.7 | 104.279381310879 | 23.4206186891212 |
24 | 137 | 144.820228932451 | -7.82022893245136 |
25 | 91 | 95.8538749386248 | -4.85387493862478 |
26 | 90.5 | 94.5640330111002 | -4.06403301110021 |
27 | 122.4 | 124.620095482164 | -2.22009548216366 |
28 | 123.3 | 108.699680783219 | 14.6003192167807 |
29 | 124.3 | 123.256255182409 | 1.04374481759140 |
30 | 120 | 125.899247386699 | -5.89924738669933 |
31 | 118.1 | 113.235832873777 | 4.86416712622336 |
32 | 119 | 125.486247188026 | -6.48624718802567 |
33 | 142.7 | 148.720876219639 | -6.02087621963935 |
34 | 123.6 | 121.249329572109 | 2.35067042789126 |
35 | 129.6 | 128.616348044054 | 0.983651955945533 |
36 | 151.6 | 147.910207043899 | 3.6897929561014 |
37 | 110.4 | 100.960965706053 | 9.43903429394676 |
38 | 99.2 | 106.547012121165 | -7.34701212116492 |
39 | 130.5 | 141.209642796919 | -10.7096427969186 |
40 | 136.2 | 127.440007325703 | 8.75999267429725 |
41 | 129.7 | 134.368655182123 | -4.66865518212265 |
42 | 128 | 131.245203197272 | -3.24520319727154 |
43 | 121.6 | 122.873339460583 | -1.27333946058297 |
44 | 135.8 | 127.521580902507 | 8.27841909749326 |
45 | 143.8 | 159.071824885082 | -15.2718248850821 |
46 | 147.5 | 129.390922685289 | 18.1090773147115 |
47 | 136.2 | 143.773351668667 | -7.57335166866687 |
48 | 156.6 | 162.566569237088 | -5.96656923708829 |
49 | 123.3 | 110.606574321782 | 12.6934256782176 |
50 | 104.5 | 110.280899047444 | -5.78089904744392 |
51 | 139.8 | 146.549107503577 | -6.74910750357657 |
52 | 136.5 | 141.830251885327 | -5.33025188532682 |
53 | 112.1 | 136.981192390721 | -24.8811923907206 |
54 | 118.5 | 124.184618141031 | -5.68461814103101 |
55 | 94.4 | 113.651172273622 | -19.2511722736216 |
56 | 102.3 | 109.882769188564 | -7.58276918856379 |
57 | 111.4 | 116.459249243814 | -5.05924924381364 |
58 | 99.2 | 101.296471086083 | -2.09647108608323 |
59 | 87.8 | 92.9228304871463 | -5.12283048714626 |
60 | 115.8 | 99.2950172286432 | 16.5049827713568 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 73.7425102127098 | 59.7731440957264 | 87.7118763296932 |
62 | 62.3882162021922 | 46.5983806080871 | 78.1780517962973 |
63 | 80.3150544297715 | 59.0357735748043 | 101.594335284739 |
64 | 75.2384578542102 | 50.9620636175961 | 99.5148520908242 |
65 | 65.5014374443539 | 39.4639906216041 | 91.5388842671037 |
66 | 65.1284624867358 | 34.4455041007752 | 95.8114208726964 |
67 | 55.0502235694466 | 23.5333061905507 | 86.5671409483424 |
68 | 57.8464616334233 | 19.0941644722557 | 96.5987587945908 |
69 | 61.9243348543234 | 13.4042716986218 | 110.444398010025 |
70 | 53.8094264967576 | 3.76331594632744 | 103.855537047188 |
71 | 47.6698718636309 | -4.86453787945371 | 100.204281606715 |
72 | 54.9485875501871 | -14.6951939996628 | 124.592369100037 |