Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.425790716300489 |
beta | 0.363870669843828 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 335 | 339.209935897436 | -4.20993589743614 |
14 | 333 | 334.806502608273 | -1.80650260827315 |
15 | 325 | 324.938209144871 | 0.0617908551287769 |
16 | 322 | 320.583324454149 | 1.41667554585115 |
17 | 322 | 320.358159862371 | 1.64184013762895 |
18 | 315 | 313.941576409506 | 1.05842359049399 |
19 | 321 | 321.482230754680 | -0.482230754679506 |
20 | 324 | 322.375508777505 | 1.62449122249456 |
21 | 329 | 323.750829690947 | 5.2491703090534 |
22 | 332 | 326.8161070501 | 5.18389294990021 |
23 | 322 | 331.615078055856 | -9.61507805585558 |
24 | 324 | 329.789760748247 | -5.78976074824709 |
25 | 324 | 324.320486854875 | -0.320486854874673 |
26 | 323 | 322.677783082907 | 0.322216917092931 |
27 | 309 | 314.84304297509 | -5.84304297508982 |
28 | 306 | 307.891442956404 | -1.89144295640426 |
29 | 305 | 305.013988640077 | -0.0139886400766613 |
30 | 300 | 295.927808180145 | 4.07219181985499 |
31 | 301 | 302.704413151525 | -1.70441315152510 |
32 | 302 | 302.935014611050 | -0.935014611050349 |
33 | 308 | 303.553312836116 | 4.44668716388401 |
34 | 311 | 304.366553285318 | 6.6334467146819 |
35 | 301 | 299.636743470704 | 1.36325652929582 |
36 | 301 | 304.73505460785 | -3.73505460784980 |
37 | 308 | 303.652127424538 | 4.34787257546185 |
38 | 302 | 305.460460076231 | -3.46046007623073 |
39 | 290 | 292.983127039852 | -2.98312703985152 |
40 | 286 | 290.469578026091 | -4.46957802609114 |
41 | 286 | 288.124271799635 | -2.12427179963527 |
42 | 275 | 280.710765506475 | -5.71076550647479 |
43 | 284 | 278.714087744869 | 5.28591225513105 |
44 | 289 | 282.155120889326 | 6.84487911067407 |
45 | 292 | 290.173829347777 | 1.82617065222286 |
46 | 293 | 291.718512583454 | 1.2814874165461 |
47 | 285 | 281.446079019305 | 3.55392098069547 |
48 | 280 | 284.651445795878 | -4.65144579587849 |
49 | 281 | 287.779429210233 | -6.77942921023282 |
50 | 280 | 278.602069094362 | 1.39793090563762 |
51 | 265 | 267.456032914919 | -2.45603291491886 |
52 | 260 | 263.383595893848 | -3.38359589384788 |
53 | 254 | 262.085855751082 | -8.0858557510823 |
54 | 238 | 248.389388125163 | -10.3893881251626 |
55 | 247 | 248.304942615342 | -1.30494261534224 |
56 | 246 | 246.403636761513 | -0.403636761512843 |
57 | 247 | 243.899985521863 | 3.10001447813656 |
58 | 237 | 241.317437649324 | -4.31743764932361 |
59 | 222 | 224.741569532128 | -2.7415695321279 |
60 | 216 | 214.35508274905 | 1.64491725095002 |
61 | 212 | 213.717909759354 | -1.71790975935434 |
62 | 209 | 206.951227370628 | 2.04877262937214 |
63 | 185 | 189.53018209015 | -4.53018209014994 |
64 | 186 | 179.381473030181 | 6.61852696981944 |
65 | 178 | 176.531615812172 | 1.46838418782789 |
66 | 158 | 163.949963007576 | -5.94996300757555 |
67 | 166 | 170.02938663195 | -4.02938663195002 |
68 | 162 | 166.120700569598 | -4.12070056959837 |
69 | 164 | 162.105416779896 | 1.89458322010435 |
70 | 147 | 152.622906454693 | -5.62290645469275 |
71 | 132 | 134.066268925489 | -2.06626892548874 |
72 | 124 | 124.260915470249 | -0.260915470249202 |
73 | 117 | 118.360849366858 | -1.36084936685826 |
74 | 120 | 111.443943579026 | 8.55605642097385 |
75 | 89 | 91.5590134459976 | -2.55901344599764 |
76 | 81 | 87.4997715210797 | -6.49977152107968 |
77 | 71 | 72.9230202749146 | -1.92302027491462 |
78 | 52 | 50.92823095581 | 1.07176904419001 |
79 | 63 | 58.4787278140551 | 4.52127218594491 |
80 | 62 | 56.8616488247614 | 5.13835117523861 |
81 | 74 | 60.3805947251835 | 13.6194052748165 |
82 | 67 | 53.5281310002334 | 13.4718689997666 |
83 | 53 | 50.0568705898765 | 2.94312941012345 |
84 | 42 | 49.1099877428014 | -7.1099877428014 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 44.2897769601159 | 34.9458582215414 | 53.6336956986905 |
86 | 48.4852466714746 | 37.6800247410051 | 59.2904686019442 |
87 | 22.0877965657826 | 9.2814119608429 | 34.8941811707223 |
88 | 20.7647596621920 | 5.49215792781678 | 36.0373613965673 |
89 | 16.5000120637975 | -1.62982526374799 | 34.6298493913431 |
90 | 2.25804980161506 | -19.061212598943 | 23.5773122021731 |
91 | 16.3812689970629 | -8.41598400349236 | 41.1785219976181 |
92 | 17.5412485401203 | -10.9905052094707 | 46.0730022897114 |
93 | 27.2939750888859 | -5.20485789877787 | 59.7928080765497 |
94 | 15.9994292583440 | -20.6807401287618 | 52.6795986454499 |
95 | 0.100689245159970 | -40.9606619679016 | 41.1620404582215 |
96 | -8.97351395682509 | -54.6042591444928 | 36.6572312308426 |