Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.380859354911949 |
beta | 0.0316088853012832 |
gamma | 0.733581043314767 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 80 | 65.9535256410256 | 14.0464743589744 |
14 | 42 | 32.4467148172594 | 9.55328518274057 |
15 | 54 | 47.1353051316088 | 6.86469486839122 |
16 | 66 | 60.5908949080094 | 5.40910509199063 |
17 | 81 | 79.7238940940242 | 1.27610590597584 |
18 | 63 | 69.423164327768 | -6.42316432776798 |
19 | 137 | 111.487769948459 | 25.5122300515414 |
20 | 72 | 80.189065931405 | -8.18906593140491 |
21 | 107 | 86.4563236715524 | 20.5436763284476 |
22 | 58 | 68.1223642893237 | -10.1223642893237 |
23 | 36 | 97.1537646423697 | -61.1537646423697 |
24 | 52 | 157.471510088703 | -105.471510088703 |
25 | 79 | 65.8538039157979 | 13.1461960842021 |
26 | 77 | 28.6504949782513 | 48.3495050217487 |
27 | 54 | 56.0480501431283 | -2.04805014312831 |
28 | 84 | 64.4949190767417 | 19.5050809232583 |
29 | 48 | 86.335926809278 | -38.335926809278 |
30 | 96 | 56.1913729959147 | 39.8086270040853 |
31 | 83 | 129.66480326721 | -46.6648032672097 |
32 | 66 | 53.9973913310618 | 12.0026086689382 |
33 | 61 | 79.6754118037346 | -18.6754118037346 |
34 | 53 | 30.6746061226883 | 22.3253938773117 |
35 | 30 | 47.4750331631063 | -17.4750331631063 |
36 | 74 | 103.414328539598 | -29.4143285395985 |
37 | 69 | 94.669052063968 | -25.669052063968 |
38 | 59 | 58.2346826816616 | 0.765317318338404 |
39 | 42 | 43.6095578051338 | -1.60955780513378 |
40 | 65 | 61.0081831412311 | 3.99181685876892 |
41 | 70 | 49.478803349939 | 20.521196650061 |
42 | 100 | 76.7603341378024 | 23.2396658621976 |
43 | 63 | 103.965837074185 | -40.9658370741847 |
44 | 105 | 56.501549428838 | 48.498450571162 |
45 | 82 | 81.9715413639335 | 0.0284586360665458 |
46 | 81 | 58.7674302672506 | 22.2325697327494 |
47 | 75 | 57.5054384585557 | 17.4945615414443 |
48 | 102 | 121.8113910067 | -19.8113910066999 |
49 | 121 | 119.011021546427 | 1.9889784535731 |
50 | 98 | 106.036128029636 | -8.03612802963619 |
51 | 76 | 87.7937238475087 | -11.7937238475087 |
52 | 77 | 104.548576897231 | -27.5485768972311 |
53 | 63 | 88.825394332414 | -25.825394332414 |
54 | 37 | 99.4433230770021 | -62.4433230770021 |
55 | 35 | 63.5759025308791 | -28.5759025308791 |
56 | 23 | 60.3350961492459 | -37.3350961492459 |
57 | 40 | 28.9375786540567 | 11.0624213459433 |
58 | 29 | 17.9911476535468 | 11.0088523464532 |
59 | 37 | 8.13783623184112 | 28.8621637681589 |
60 | 51 | 57.8014044626901 | -6.80140446269012 |
61 | 20 | 67.986280314366 | -47.986280314366 |
62 | 28 | 28.9516752372214 | -0.95167523722138 |
63 | 13 | 9.31321056571043 | 3.68678943428957 |
64 | 22 | 22.6070517338614 | -0.607051733861354 |
65 | 25 | 16.0505737046134 | 8.94942629538664 |
66 | 13 | 21.8230856739734 | -8.82308567397342 |
67 | 16 | 20.9469405271601 | -4.94694052716012 |
68 | 13 | 22.1988348561951 | -9.19883485619508 |
69 | 16 | 23.3093821664561 | -7.30938216645614 |
70 | 17 | 4.93082348471587 | 12.0691765152841 |
71 | 9 | 3.19217990983177 | 5.80782009016823 |
72 | 17 | 27.2017554894693 | -10.2017554894693 |
73 | 25 | 16.6693885648016 | 8.33061143519844 |
74 | 14 | 20.4077763690549 | -6.40777636905491 |
75 | 8 | 0.693902625599549 | 7.30609737440045 |
76 | 7 | 13.3553977851453 | -6.35539778514529 |
77 | 10 | 8.82028766465281 | 1.17971233534719 |
78 | 7 | 3.33822505002736 | 3.66177494997264 |
79 | 10 | 8.90454913922404 | 1.09545086077596 |
80 | 3 | 10.526306643243 | -7.52630664324296 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
81 | 13.1518860780322 | -37.4465989189017 | 63.750371074966 |
82 | 6.4665766273601 | -47.8972220237316 | 60.8303752784518 |
83 | -2.75000728511186 | -60.8467257368931 | 55.3467111666694 |
84 | 11.6688643515531 | -50.1402534266439 | 73.47798212975 |
85 | 13.4546037022275 | -52.0555460762892 | 78.9647534807443 |
86 | 7.24134529397715 | -61.9656545585403 | 76.4483451464945 |
87 | -3.811053389558 | -76.7164471374402 | 69.0943403583242 |
88 | -0.232709452868718 | -76.8426607262685 | 76.377241820531 |
89 | 1.05592991449164 | -79.2685090912678 | 81.3803689202511 |
90 | -3.78144524583877 | -87.8334001501263 | 80.2705096584488 |
91 | -0.852758842782082 | -88.6478246626031 | 86.942306977039 |
92 | -3.65473445255916 | -95.2106461244973 | 87.901177219379 |