Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.34126575693962 |
beta | 0 |
gamma | 0.660091540095026 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 201 | 201.63706732081 | -0.637067320809876 |
14 | 242 | 242.488883213482 | -0.488883213482097 |
15 | 239 | 239.61359667665 | -0.613596676650189 |
16 | 273 | 274.115023149593 | -1.11502314959273 |
17 | 280 | 281.985390904853 | -1.98539090485286 |
18 | 294 | 296.581420610356 | -2.58142061035574 |
19 | 212 | 212.790148615504 | -0.790148615504137 |
20 | 264 | 262.165822291584 | 1.83417770841567 |
21 | 272 | 280.002229273858 | -8.00222927385767 |
22 | 262 | 267.057972290363 | -5.05797229036318 |
23 | 238 | 255.423546961307 | -17.4235469613072 |
24 | 227 | 222.572218502482 | 4.42778149751754 |
25 | 250 | 187.327211212702 | 62.6727887872979 |
26 | 245 | 251.420246684895 | -6.4202466848952 |
27 | 270 | 246.402763641842 | 23.5972363581584 |
28 | 288 | 291.201448650303 | -3.20144865030318 |
29 | 298 | 298.508750191992 | -0.508750191991851 |
30 | 281 | 314.351749950383 | -33.3517499503829 |
31 | 218 | 218.513780594727 | -0.513780594726995 |
32 | 284 | 270.617360098391 | 13.3826399016089 |
33 | 281 | 288.682131665687 | -7.68213166568745 |
34 | 277 | 276.742961746295 | 0.257038253705332 |
35 | 276 | 260.593651499156 | 15.4063485008438 |
36 | 222 | 246.770044116115 | -24.7700441161146 |
37 | 255 | 223.350988685109 | 31.6490113148906 |
38 | 267 | 246.686925592339 | 20.3130744076611 |
39 | 261 | 263.826998694924 | -2.8269986949245 |
40 | 263 | 287.769491070318 | -24.7694910703182 |
41 | 264 | 288.552323159868 | -24.5523231598683 |
42 | 278 | 281.249581308694 | -3.24958130869396 |
43 | 248 | 211.973174249989 | 36.0268257500108 |
44 | 320 | 284.15467305655 | 35.8453269434504 |
45 | 305 | 300.969337056063 | 4.03066294393693 |
46 | 301 | 296.120134937481 | 4.8798650625194 |
47 | 274 | 287.31717017368 | -13.3171701736804 |
48 | 220 | 244.475945031834 | -24.475945031834 |
49 | 235 | 245.414214163067 | -10.4142141630666 |
50 | 252 | 249.029859545349 | 2.97014045465119 |
51 | 272 | 250.148858136057 | 21.8511418639427 |
52 | 280 | 272.404406854553 | 7.59559314544714 |
53 | 305 | 284.240357765222 | 20.7596422347779 |
54 | 299 | 302.553013704055 | -3.55301370405482 |
55 | 246 | 245.225255649056 | 0.774744350943848 |
56 | 307 | 306.04115163179 | 0.958848368209772 |
57 | 325 | 297.26217207135 | 27.7378279286503 |
58 | 302 | 300.816047046777 | 1.18395295322267 |
59 | 274 | 282.668197088828 | -8.66819708882787 |
60 | 251 | 235.76162863253 | 15.2383713674699 |
61 | 272 | 257.394589066866 | 14.6054109331338 |
62 | 253 | 276.799370819002 | -23.7993708190017 |
63 | 292 | 277.31708628611 | 14.6829137138899 |
64 | 288 | 291.422901204502 | -3.42290120450195 |
65 | 258 | 305.667026345426 | -47.6670263454264 |
66 | 295 | 290.000504536484 | 4.9994954635165 |
67 | 231 | 238.92048890566 | -7.92048890565954 |
68 | 250 | 294.450211543451 | -44.4502115434515 |
69 | 268 | 281.186686679723 | -13.1866866797228 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
70 | 261.441490444896 | 232.052786489386 | 290.830194400405 |
71 | 241.534605288313 | 209.801421745394 | 273.267788831233 |
72 | 211.969218632856 | 178.743330365976 | 245.195106899736 |
73 | 225.611899135989 | 189.176350181303 | 262.047448090675 |
74 | 223.339726755872 | 184.800981073848 | 261.878472437896 |
75 | 245.088421844246 | 202.445563513779 | 287.731280174714 |
76 | 246.020424798304 | 201.298196593896 | 290.742653002711 |
77 | 241.671118341207 | 195.538420324883 | 287.80381635753 |
78 | 262.727368689373 | 212.084006447435 | 313.370730931311 |
79 | 210.418487076428 | 164.937932987881 | 255.899041164974 |
80 | 247.6861486502 | 195.009494059684 | 300.362803240716 |
81 | 262.331946860743 | 192.501922094577 | 332.161971626909 |