Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.594886274163376 |
beta | 0.0322225119939658 |
gamma | 0.93989494567203 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 68 | 60.8894939474317 | 7.11050605256828 |
14 | 68 | 65.0554988755908 | 2.94450112440924 |
15 | 68 | 66.3766356669976 | 1.62336433300239 |
16 | 70 | 68.8656190023198 | 1.13438099768018 |
17 | 66 | 65.2390459646497 | 0.760954035350323 |
18 | 64 | 63.3667605996604 | 0.633239400339569 |
19 | 72 | 70.4001596232681 | 1.59984037673190 |
20 | 80 | 74.813101273716 | 5.18689872628394 |
21 | 84 | 80.0177119466845 | 3.98228805331553 |
22 | 82 | 82.8146920752238 | -0.814692075223775 |
23 | 83 | 84.0966887782759 | -1.09668877827586 |
24 | 86 | 86.8359440422374 | -0.835944042237401 |
25 | 99 | 103.758392118631 | -4.75839211863149 |
26 | 100 | 97.7682996330489 | 2.23170036695112 |
27 | 95 | 97.0994417215807 | -2.09944172158070 |
28 | 98 | 97.1160925732098 | 0.883907426790188 |
29 | 103 | 90.8903545157938 | 12.1096454842062 |
30 | 107 | 94.101577661263 | 12.8984223387371 |
31 | 114 | 112.502789900096 | 1.49721009990445 |
32 | 123 | 120.432428151575 | 2.56757184842461 |
33 | 132 | 123.969817831235 | 8.03018216876497 |
34 | 137 | 126.176841628697 | 10.8231583713033 |
35 | 141 | 134.946064513951 | 6.05393548604906 |
36 | 146 | 144.069141279386 | 1.93085872061408 |
37 | 156 | 171.700550261588 | -15.7005502615883 |
38 | 156 | 161.174781575277 | -5.17478157527711 |
39 | 143 | 151.933368234723 | -8.93336823472342 |
40 | 143 | 149.907629134552 | -6.90762913455166 |
41 | 151 | 141.166670574967 | 9.83332942503304 |
42 | 149 | 140.735986079894 | 8.26401392010578 |
43 | 156 | 153.817844624233 | 2.18215537576663 |
44 | 166 | 164.675890376672 | 1.32410962332764 |
45 | 177 | 170.246478129247 | 6.75352187075276 |
46 | 180 | 171.439739540861 | 8.56026045913947 |
47 | 189 | 176.531217455624 | 12.4687825443758 |
48 | 195 | 188.553248909140 | 6.4467510908604 |
49 | 205 | 217.427781000438 | -12.4277810004377 |
50 | 209 | 213.276833343379 | -4.27683334337857 |
51 | 199 | 199.880640003582 | -0.880640003581846 |
52 | 191 | 204.567872881927 | -13.5678728819266 |
53 | 198 | 198.317350814738 | -0.317350814737949 |
54 | 200 | 188.495120403672 | 11.5048795963284 |
55 | 208 | 202.556945788086 | 5.44305421191393 |
56 | 224 | 217.536668344449 | 6.46333165555052 |
57 | 234 | 230.040878680019 | 3.95912131998134 |
58 | 243 | 229.039411510445 | 13.9605884895547 |
59 | 249 | 238.663009370572 | 10.3369906294276 |
60 | 258 | 247.308598983107 | 10.6914010168932 |
61 | 274 | 276.252714267061 | -2.25271426706104 |
62 | 270 | 283.068945235288 | -13.0689452352884 |
63 | 261 | 262.352714727390 | -1.35271472738958 |
64 | 258 | 261.422039730643 | -3.42203973064284 |
65 | 261 | 268.490490350596 | -7.49049035059602 |
66 | 258 | 256.724047543222 | 1.27595245677782 |
67 | 264 | 263.363442298844 | 0.636557701156278 |
68 | 270 | 278.593349651185 | -8.5933496511854 |
69 | 267 | 282.218345610810 | -15.2183456108104 |
70 | 287 | 272.636776443892 | 14.3632235561081 |
71 | 297 | 280.161643506827 | 16.8383564931733 |
72 | 306 | 292.357644027308 | 13.6423559726915 |
73 | 322 | 320.262741798415 | 1.73725820158489 |
74 | 323 | 325.1333943394 | -2.13339433939996 |
75 | 309 | 313.14001495548 | -4.14001495548018 |
76 | 303 | 309.007880394555 | -6.00788039455495 |
77 | 306 | 313.727655202529 | -7.72765520252904 |
78 | 301 | 303.872604393695 | -2.87260439369464 |
79 | 316 | 308.166043389354 | 7.83395661064583 |
80 | 327 | 325.66033502247 | 1.33966497752999 |
81 | 330 | 333.338934680628 | -3.3389346806278 |
82 | 342 | 344.229696292912 | -2.22969629291248 |
83 | 359 | 342.097362011006 | 16.9026379889937 |
84 | 379 | 352.648769998098 | 26.3512300019017 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 386.329402892636 | 370.782252790757 | 401.876552994515 |
86 | 388.768981491809 | 370.430228513682 | 407.107734469936 |
87 | 374.587468006574 | 354.1033094465 | 395.071626566647 |
88 | 371.396187099717 | 348.703553699606 | 394.088820499829 |
89 | 380.513364866514 | 355.271503287684 | 405.755226445344 |
90 | 376.197351854313 | 349.113589100998 | 403.281114607627 |
91 | 388.708029511585 | 358.955777148597 | 418.460281874572 |
92 | 401.309581687412 | 368.888120753673 | 433.731042621151 |
93 | 407.391412059784 | 372.739049688733 | 442.043774430835 |
94 | 423.681805832528 | 386.064980205328 | 461.298631459728 |
95 | 431.394258390896 | 391.453971874856 | 471.334544906935 |
96 | 435.463717291297 | 396.313699677362 | 474.613734905232 |