Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.124974553803989 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 31.8 | 34.5 | -2.7 |
4 | 36.7 | 36.5625687047292 | 0.137431295270773 |
5 | 37.1 | 41.4797441195344 | -4.3797441195344 |
6 | 37.7 | 41.33238755242 | -3.63238755241994 |
7 | 39.4 | 41.4784315388131 | -2.0784315388131 |
8 | 43.3 | 42.9186804846378 | 0.381319515362208 |
9 | 39.6 | 46.8663357209269 | -7.26633572092693 |
10 | 34.3 | 42.2582286564141 | -7.95822865641411 |
11 | 32 | 35.9636525810086 | -3.96365258100864 |
12 | 29.6 | 33.1682968682631 | -3.56829686826305 |
13 | 22.3 | 30.3223505593117 | -8.02235055931171 |
14 | 28.9 | 22.0197608777026 | 6.88023912229745 |
15 | 31.7 | 29.4796156920764 | 2.22038430792358 |
16 | 34.2 | 32.5571072302325 | 1.64289276976746 |
17 | 38.6 | 35.2624270210820 | 3.33757297891796 |
18 | 37.2 | 40.0795387149106 | -2.87953871491056 |
19 | 38.8 | 38.3196696488533 | 0.480330351146698 |
20 | 43.4 | 39.9796987201664 | 3.42030127983363 |
21 | 38.8 | 45.0071493464888 | -6.20714934648879 |
22 | 36.3 | 39.6314136265166 | -3.33141362651664 |
23 | 33 | 36.7150716950062 | -3.71507169500619 |
24 | 29.2 | 32.9507822675730 | -3.75078226757296 |
25 | 22.64 | 28.6820299272671 | -6.04202992726712 |
26 | 28.44 | 21.3669299330366 | 7.07307006696344 |
27 | 30.14 | 28.0508837086797 | 2.08911629132033 |
28 | 34.39 | 30.0119700850321 | 4.37802991496793 |
29 | 36.82 | 34.8091124201957 | 2.01088757980430 |
30 | 36.74 | 37.4904221982317 | -0.750422198231725 |
31 | 38.9 | 37.3166385188431 | 1.58336148115689 |
32 | 42.8 | 39.6745184134611 | 3.12548158653888 |
33 | 39.09 | 43.9651240801614 | -4.87512408016138 |
34 | 37.49 | 39.6458576235041 | -2.15585762350415 |
35 | 33.17 | 37.7764302789418 | -4.60643027894179 |
36 | 30.98 | 32.8807437102019 | -1.90074371020185 |
37 | 21.2 | 30.4531991131236 | -9.25319911312364 |
38 | 27.8 | 19.5167846827015 | 8.28321531729845 |
39 | 29 | 27.1519758210433 | 1.84802417895671 |
40 | 35.4 | 28.5829318182274 | 6.81706818177262 |
41 | 37.5 | 35.8348918724958 | 1.66510812750422 |
42 | 34.7 | 38.142988017766 | -3.44298801776602 |
43 | 38.4 | 34.9127021264932 | 3.48729787350676 |
44 | 39.9 | 39.0485256222163 | 0.85147437778366 |
45 | 35.9 | 40.6549382526554 | -4.75493825265538 |
46 | 34.7 | 36.0606919661643 | -1.36069196616425 |
47 | 30.4 | 34.6906400948282 | -4.29064009482821 |
48 | 29 | 29.8544192634435 | -0.854419263443546 |
49 | 21.5 | 28.3476385972332 | -6.84763859723316 |
50 | 28 | 19.9918580189330 | 8.00814198106703 |
51 | 29.3 | 27.4926719898158 | 1.80732801018419 |
52 | 34.3 | 29.0185420014660 | 5.28145799853396 |
53 | 36.6 | 34.6785898582673 | 1.92141014173268 |
54 | 36.2 | 37.2187172334048 | -1.01871723340482 |
55 | 37.5 | 36.6914035017076 | 0.808596498292374 |
56 | 41.6 | 38.0924574882892 | 3.50754251171082 |
57 | 39.4 | 42.6308110486388 | -3.23081104863876 |
58 | 37.3 | 40.0270418794101 | -2.72704187941014 |
59 | 32.7 | 37.5862310373261 | -4.88623103732606 |
60 | 30.7 | 32.3755764936530 | -1.67557649365304 |
61 | 22.9 | 30.1661720689943 | -7.2661720689943 |
62 | 29.1 | 21.4580854568087 | 7.64191454319127 |
63 | 29.5 | 28.6131303170523 | 0.88686968294773 |
64 | 37.1 | 29.1239664599609 | 7.97603354003905 |
65 | 37.7 | 37.720767692753 | -0.0207676927529761 |
66 | 38.4 | 38.3181722596176 | 0.0818277403823586 |
67 | 39.4 | 39.0283986449607 | 0.371601355039289 |
68 | 40.6 | 40.0748393584997 | 0.5251606415003 |
69 | 39.7 | 41.3404710753466 | -1.64047107534662 |
70 | 36.6 | 40.2354539346768 | -3.63545393467682 |
71 | 32.8 | 36.6811147013156 | -3.88111470131564 |
72 | 31.6 | 32.3960741232566 | -0.79607412325661 |
73 | 24.1 | 31.0965851149077 | -6.99658511490772 |
74 | 30.3 | 22.7221900120205 | 7.5778099879795 |
75 | 31.8 | 29.8692234340796 | 1.93077656592036 |
76 | 38.7 | 31.6105213739007 | 7.08947862609926 |
77 | 37.8 | 39.3965258019004 | -1.59652580190041 |
78 | 38.4 | 38.2970007021713 | 0.102999297828653 |
79 | 40.7 | 38.9098729934596 | 1.79012700654039 |
80 | 43.8 | 41.4335933173545 | 2.36640668264553 |
81 | 41.5 | 44.8293339366369 | -3.32933393663686 |
82 | 39.3 | 42.1132519134412 | -2.8132519134412 |
83 | 35.9 | 39.5616670108207 | -3.66166701082066 |
84 | 33.4 | 35.7040518099646 | -2.30405180996457 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 32.916103963073 | 24.5679892224295 | 41.2642187037164 |
86 | 32.4322079261459 | 19.8667900453352 | 44.9976258069567 |
87 | 31.9483118892189 | 15.6151224223613 | 48.2815013560765 |
88 | 31.4644158522919 | 11.5014994216579 | 51.4273322829259 |
89 | 30.9805198153649 | 7.41568272577432 | 54.5453569049554 |
90 | 30.4966237784378 | 3.30654139793398 | 57.6867061589417 |
91 | 30.0127277415108 | -0.852982821933644 | 60.8784383049553 |
92 | 29.5288317045838 | -5.07829228763902 | 64.1359556968066 |
93 | 29.0449356676568 | -9.3784994326798 | 67.4683707679933 |
94 | 28.5610396307297 | -13.7590625436191 | 70.8811418050785 |
95 | 28.0771435938027 | -18.2232023897495 | 74.3774895773549 |
96 | 27.5932475568757 | -22.7727160805715 | 77.9592111943229 |