Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.81736044436888 |
beta | 0.186444348831529 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | -2 | 3 | -5 |
4 | -5 | 2.15123659910057 | -7.15123659910057 |
5 | -4 | -1.54565543853273 | -2.45434456146727 |
6 | -6 | -1.77751676830599 | -4.22248323169401 |
7 | -2 | -4.09805836763391 | 2.09805836763391 |
8 | -2 | -0.93271147117745 | -1.06728852882255 |
9 | -2 | -0.517240405753006 | -1.48275959424699 |
10 | -2 | -0.667320004723815 | -1.33267999527618 |
11 | 2 | -0.897820560089879 | 2.89782056008988 |
12 | 1 | 2.77112805251206 | -1.77112805251206 |
13 | -8 | 2.3539565885523 | -10.3539565885523 |
14 | -1 | -6.65634201558679 | 5.65634201558679 |
15 | 1 | -1.71847323190129 | 2.71847323190129 |
16 | -1 | 1.23237203105538 | -2.23237203105538 |
17 | 2 | -0.203603955094269 | 2.20360395509427 |
18 | 2 | 2.32202349556383 | -0.322023495563832 |
19 | 1 | 2.73422909036914 | -1.73422909036914 |
20 | -1 | 1.72787064417432 | -2.72787064417432 |
21 | -2 | -0.506357410451018 | -1.49364258954898 |
22 | -2 | -1.95939580761916 | -0.0406041923808396 |
23 | -1 | -2.23096585845312 | 1.23096585845312 |
24 | -8 | -1.27561520811459 | -6.72438479188541 |
25 | -4 | -7.84739753333596 | 3.84739753333596 |
26 | -6 | -5.1919096472845 | -0.808090352715497 |
27 | -3 | -6.46478010411762 | 3.46478010411762 |
28 | -3 | -3.71716967896299 | 0.71716967896299 |
29 | -7 | -3.10605624103229 | -3.89394375896771 |
30 | -9 | -6.85729132731534 | -2.14270867268466 |
31 | -11 | -9.50366829060175 | -1.49633170939825 |
32 | -13 | -11.8497516266567 | -1.15024837334333 |
33 | -11 | -14.0882490547168 | 3.08824905471684 |
34 | -9 | -12.3917411633319 | 3.39174116333187 |
35 | -17 | -9.9302958080145 | -7.0697041919855 |
36 | -22 | -17.0969901053992 | -4.90300989460079 |
37 | -25 | -23.2398948291037 | -1.76010517089627 |
38 | -20 | -27.0821399134875 | 7.08213991348746 |
39 | -24 | -22.6178204907380 | -1.38217950926195 |
40 | -24 | -25.2825343783558 | 1.28253437835582 |
41 | -22 | -25.5737682572523 | 3.57376825725229 |
42 | -19 | -23.4476236597478 | 4.44762365974783 |
43 | -18 | -19.9294409085906 | 1.92944090859057 |
44 | -17 | -18.1754893159959 | 1.17548931599592 |
45 | -11 | -16.8586524871205 | 5.85865248712049 |
46 | -11 | -10.8211701762907 | -0.178829823709291 |
47 | -12 | -9.74573936657476 | -2.25426063342524 |
48 | -10 | -10.7102154237735 | 0.710215423773509 |
49 | -15 | -9.14341469720308 | -5.85658530279692 |
50 | -15 | -13.8365552590952 | -1.16344474090476 |
51 | -15 | -14.8710083111426 | -0.128991688857363 |
52 | -13 | -15.0795976887558 | 2.07959768875584 |
53 | -8 | -13.1660589298778 | 5.16605892987782 |
54 | -13 | -7.94250156877353 | -5.05749843122647 |
55 | -9 | -11.8459990889174 | 2.84599908891743 |
56 | -7 | -8.85578219965196 | 1.85578219965196 |
57 | -4 | -6.39212262843485 | 2.39212262843485 |
58 | -4 | -3.12553869033348 | -0.87446130966652 |
59 | -2 | -2.66219236555719 | 0.662192365557194 |
60 | 0 | -0.84193313483474 | 0.84193313483474 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 1.25354316375645 | -5.73263452071978 | 8.23972084823267 |
62 | 2.66085662113023 | -7.0708168264078 | 12.3925300686683 |
63 | 4.06817007850401 | -8.42836093864608 | 16.5647010956541 |
64 | 5.47548353587779 | -9.86880042163211 | 20.8197674933877 |
65 | 6.88279699325157 | -11.4153906114871 | 25.1809845979902 |
66 | 8.29011045062535 | -13.0771556173939 | 29.6573765186446 |
67 | 9.69742390799913 | -14.8570692121823 | 34.2519170281806 |
68 | 11.1047373653729 | -16.7552662694282 | 38.964741000174 |
69 | 12.5120508227467 | -18.7704839699806 | 43.794585615474 |
70 | 13.9193642801205 | -20.9007676464047 | 48.7394962066457 |
71 | 15.3266777374943 | -23.1438373215584 | 53.7971927965469 |
72 | 16.7339911948680 | -25.4972853789358 | 58.9652677686719 |