Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.0536868572060943 |
beta | 0.0982858832672798 |
gamma | 0.910497809224067 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 87.6 | 87.4724469700408 | 0.127553029959202 |
14 | 85.4 | 85.4652147636646 | -0.0652147636646419 |
15 | 86.1 | 86.3288295614751 | -0.228829561475138 |
16 | 86.7 | 86.914198608956 | -0.214198608956039 |
17 | 89.1 | 89.120207340686 | -0.0202073406860137 |
18 | 103.7 | 103.751481005857 | -0.0514810058570134 |
19 | 86.9 | 89.3286739359633 | -2.42867393596329 |
20 | 85.2 | 87.9022547215732 | -2.70225472157323 |
21 | 80.8 | 82.3631625078487 | -1.5631625078487 |
22 | 91.2 | 89.2616935640018 | 1.93830643599817 |
23 | 102.8 | 99.139725584336 | 3.66027441566408 |
24 | 182.5 | 184.890092969064 | -2.39009296906366 |
25 | 80.9 | 86.6044003132953 | -5.70440031329531 |
26 | 83.1 | 84.1028982193727 | -1.00289821937268 |
27 | 88.3 | 84.710934500249 | 3.58906549975099 |
28 | 86.6 | 85.472508300601 | 1.12749169939896 |
29 | 93 | 87.8587362932187 | 5.14126370678134 |
30 | 105.3 | 102.582863709458 | 2.71713629054153 |
31 | 93.8 | 86.4257536590125 | 7.37424634098748 |
32 | 86.4 | 85.3550898410494 | 1.0449101589506 |
33 | 87 | 81.0775597664341 | 5.92244023356587 |
34 | 96.7 | 91.5842967860673 | 5.1157032139327 |
35 | 100.5 | 103.381845750047 | -2.88184575004691 |
36 | 196.7 | 184.384060613859 | 12.3159393861415 |
37 | 86.8 | 82.861600028094 | 3.93839997190599 |
38 | 88.2 | 85.1639160226102 | 3.03608397738985 |
39 | 93.8 | 90.2886176912111 | 3.51138230878888 |
40 | 85 | 89.1070000115617 | -4.10700001156169 |
41 | 90.4 | 95.0274568479773 | -4.62745684797727 |
42 | 115.9 | 107.609946111073 | 8.29005388892676 |
43 | 94.9 | 95.5695471684893 | -0.669547168489245 |
44 | 87.7 | 88.5650001443302 | -0.865000144330168 |
45 | 91.7 | 88.4803792008795 | 3.21962079912046 |
46 | 95.9 | 98.4804238591472 | -2.58042385914717 |
47 | 106.8 | 103.141375001151 | 3.65862499884895 |
48 | 204.5 | 200.181269651242 | 4.31873034875846 |
49 | 90.2 | 88.4119743213472 | 1.78802567865283 |
50 | 90.5 | 89.9044717261315 | 0.595528273868482 |
51 | 93.2 | 95.469114356397 | -2.26911435639711 |
52 | 97.8 | 87.2612504706403 | 10.5387495293597 |
53 | 99.4 | 93.769505363464 | 5.63049463653603 |
54 | 120 | 119.055160857917 | 0.94483914208287 |
55 | 108.2 | 98.3339436156351 | 9.86605638436485 |
56 | 98.5 | 91.5929633324995 | 6.90703666750055 |
57 | 104.3 | 95.8139715918619 | 8.48602840813813 |
58 | 102.9 | 101.597992385277 | 1.30200761472348 |
59 | 111.1 | 112.718341323270 | -1.61834132327026 |
60 | 188.1 | 216.162802775936 | -28.0628027759363 |
61 | 93.8 | 94.7348742910747 | -0.934874291074749 |
62 | 94.5 | 95.2053216060283 | -0.705321606028292 |
63 | 112.4 | 98.5187844076512 | 13.8812155923488 |
64 | 102.5 | 102.556522899516 | -0.0565228995160396 |
65 | 115.8 | 104.507939147132 | 11.2920608528676 |
66 | 136.5 | 127.592138289870 | 8.90786171012984 |
67 | 122.1 | 114.279153641927 | 7.82084635807337 |
68 | 110.6 | 104.375022658568 | 6.22497734143208 |
69 | 116.4 | 110.437212905893 | 5.96278709410657 |
70 | 112.6 | 110.006025498868 | 2.59397450113164 |
71 | 121.5 | 119.478867841494 | 2.02113215850621 |
72 | 199.3 | 206.569975262126 | -7.2699752621262 |
73 | 102.1 | 101.896350488685 | 0.203649511315049 |
74 | 100.6 | 102.917299765070 | -2.31729976507039 |
75 | 119 | 120.258732181516 | -1.25873218151563 |
76 | 106.8 | 110.923395793423 | -4.12339579342331 |
77 | 121.3 | 123.456787301719 | -2.15678730171933 |
78 | 145.5 | 145.322284563383 | 0.177715436617405 |
79 | 129.7 | 129.561281797695 | 0.138718202305370 |
80 | 117.7 | 117.050044679731 | 0.649955320269257 |
81 | 121.3 | 122.869961720829 | -1.56996172082857 |
82 | 124.3 | 118.822535207939 | 5.47746479206111 |
83 | 135.2 | 128.404205451201 | 6.7957945487993 |
84 | 210.1 | 212.482950264386 | -2.38295026438641 |
85 | 106.8 | 108.388470443026 | -1.58847044302576 |
86 | 110.5 | 107.025154845271 | 3.47484515472908 |
87 | 111.5 | 126.743431486855 | -15.2434314868553 |
88 | 122.1 | 113.433724751907 | 8.66627524809331 |
89 | 126.3 | 129.244089618442 | -2.94408961844211 |
90 | 143.2 | 154.561506283968 | -11.3615062839677 |
91 | 137.3 | 137.159577712452 | 0.140422287548063 |
92 | 121.5 | 124.331045370537 | -2.83104537053738 |
93 | 121.9 | 128.184714245078 | -6.2847142450776 |
94 | 123.9 | 129.950505473243 | -6.05050547324274 |
95 | 131.6 | 140.341352628503 | -8.74135262850268 |
96 | 220.9 | 218.230291236717 | 2.66970876328344 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
97 | 110.937461598575 | 100.093192696182 | 121.781730500967 |
98 | 113.948107193902 | 103.080285419281 | 124.815928968524 |
99 | 117.172597960547 | 106.275431725216 | 128.069764195877 |
100 | 125.422001563343 | 114.481454771639 | 136.362548355047 |
101 | 130.740301880711 | 119.750622152608 | 141.729981608815 |
102 | 149.318877821006 | 138.227934500818 | 160.409821141194 |
103 | 142.047444371941 | 130.927641558720 | 153.167247185163 |
104 | 125.987281168629 | 114.878706054167 | 137.095856283091 |
105 | 126.925928324180 | 115.756420840829 | 138.095435807532 |
106 | 129.220367716602 | 117.974692796636 | 140.466042636567 |
107 | 137.861879301625 | 126.483067256692 | 149.240691346559 |
108 | 229.713370985837 | 185.529030909053 | 273.897711062621 |