Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.70504327667519 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | -13 | -9 | -4 |
3 | -18 | -11.8201731067008 | -6.17982689329924 |
4 | -11 | -16.1772185088379 | 5.17721850883791 |
5 | -9 | -12.5270554073034 | 3.52705540730339 |
6 | -10 | -10.0403287059233 | 0.0403287059232618 |
7 | -13 | -10.0118952229551 | -2.98810477704495 |
8 | -11 | -12.1186384060116 | 1.11863840601161 |
9 | -5 | -11.3299499188225 | 6.32994991882247 |
10 | -15 | -6.86706128686603 | -8.13293871313397 |
11 | -6 | -12.6011350461725 | 6.6011350461725 |
12 | -6 | -7.94704916344361 | 1.94704916344361 |
13 | -3 | -6.57429524140164 | 3.57429524140164 |
14 | -1 | -4.05426241259929 | 3.05426241259929 |
15 | -3 | -1.90087523339442 | -1.09912476660558 |
16 | -4 | -2.67580576031687 | -1.32419423968313 |
17 | -6 | -3.60942000601748 | -2.39057999398252 |
18 | 0 | -5.29488235812907 | 5.29488235812907 |
19 | -4 | -1.56176115074409 | -2.43823884925590 |
20 | -2 | -3.28082505834022 | 1.28082505834022 |
21 | -2 | -2.37778796236034 | 0.377787962360341 |
22 | -6 | -2.11143109948936 | -3.88856890051064 |
23 | -7 | -4.85304045868262 | -2.14695954131738 |
24 | -6 | -6.36673984858209 | 0.366739848582089 |
25 | -6 | -6.10817238405041 | 0.108172384050410 |
26 | -3 | -6.03190617195374 | 3.03190617195374 |
27 | -2 | -3.89428110990774 | 1.89428110990774 |
28 | -5 | -2.55873094923447 | -2.44126905076553 |
29 | -11 | -4.27993128003193 | -6.72006871996807 |
30 | -11 | -9.01787054984067 | -1.98212945015933 |
31 | -11 | -10.4153575921754 | -0.584642407824605 |
32 | -10 | -10.8275557910713 | 0.827555791071328 |
33 | -14 | -10.2440931445029 | -3.75590685549713 |
34 | -8 | -12.8921700207894 | 4.89217002078938 |
35 | -9 | -9.4429784392799 | 0.442978439279903 |
36 | -5 | -9.13065946895354 | 4.13065946895354 |
37 | -1 | -6.21836578213314 | 5.21836578213314 |
38 | -2 | -2.5391920722083 | 0.539192072208301 |
39 | -5 | -2.15903832686127 | -2.84096167313873 |
40 | -4 | -4.16203925379963 | 0.162039253799631 |
41 | -6 | -4.04779456735074 | -1.95220543264926 |
42 | -2 | -5.42418388232888 | 3.42418388232888 |
43 | -2 | -3.00998605799335 | 1.00998605799335 |
44 | -2 | -2.29790217826946 | 0.297902178269462 |
45 | -2 | -2.08786825037368 | 0.0878682503736838 |
46 | 2 | -2.02591733121451 | 4.02591733121451 |
47 | 1 | 0.812528615608405 | 0.187471384391595 |
48 | -8 | 0.94470405474269 | -8.94470405474269 |
49 | -1 | -5.36169940090295 | 4.36169940090295 |
50 | 1 | -2.28651256341812 | 3.28651256341812 |
51 | -1 | 0.0306210231283678 | -1.03062102312837 |
52 | 2 | -0.696011400028393 | 2.69601140002839 |
53 | 2 | 1.20479331140129 | 0.795206688598709 |
54 | 1 | 1.76544844076495 | -0.765448440764952 |
55 | -1 | 1.22577416396212 | -2.22577416396212 |
56 | -2 | -0.343492945736715 | -1.65650705426328 |
57 | -2 | -1.51140210711007 | -0.488597892889932 |
58 | -1 | -1.85588476648978 | 0.855884766489779 |
59 | -8 | -1.25244896626745 | -6.74755103373255 |
60 | -4 | -6.00976445662331 | 2.00976445662331 |
61 | -6 | -4.59279353878028 | -1.40720646121972 |
62 | -3 | -5.58493499315713 | 2.58493499315713 |
63 | -3 | -3.76244395558927 | 0.762443955589267 |
64 | -7 | -3.22488797085942 | -3.77511202914058 |
65 | -9 | -5.88650532570062 | -3.11349467429938 |
66 | -11 | -8.0816538127794 | -2.91834618722059 |
67 | -13 | -10.1392141710900 | -2.86078582891004 |
68 | -11 | -12.1561919857706 | 1.15619198577064 |
69 | -9 | -11.3410265996573 | 2.34102659965732 |
70 | -17 | -9.69050153505114 | -7.30949846494886 |
71 | -22 | -14.8440142836310 | -7.15598571636905 |
72 | -25 | -19.8892939009406 | -5.11070609905936 |
73 | -20 | -23.4925628751453 | 3.49256287514533 |
74 | -24 | -21.0301549016587 | -2.96984509834125 |
75 | -24 | -23.124024221011 | -0.875975778988984 |
76 | -22 | -23.7416250545175 | 1.74162505451751 |
77 | -19 | -22.5137040193409 | 3.51370401934088 |
78 | -18 | -20.036390624278 | 2.03639062427800 |
79 | -17 | -18.6006471059464 | 1.60064710594640 |
80 | -11 | -17.4721216255693 | 6.47212162556929 |
81 | -11 | -12.9089957876376 | 1.90899578763756 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
82 | -11.5630711423624 | -18.5034914750874 | -4.62265080963752 |
83 | -11.5630711423624 | -20.0550548281408 | -3.07108745658413 |
84 | -11.5630711423624 | -21.3639965805111 | -1.76214570421382 |
85 | -11.5630711423624 | -22.5176360341677 | -0.608506250557186 |
86 | -11.5630711423624 | -23.5608561251581 | 0.434713840433171 |
87 | -11.5630711423624 | -24.5203546932468 | 1.39421240852196 |
88 | -11.5630711423624 | -25.413542236973 | 2.28739995224814 |
89 | -11.5630711423624 | -26.2525198068722 | 3.12637752214729 |
90 | -11.5630711423624 | -27.0461023246565 | 3.91996003993162 |
91 | -11.5630711423624 | -27.8009468382937 | 4.67480455356879 |
92 | -11.5630711423624 | -28.5222267711412 | 5.3960844864163 |
93 | -11.5630711423624 | -29.2140572951461 | 6.08791501042124 |