Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.925208409968674 |
beta | 0 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 113.8 | 94.7435442960424 | 19.0564557039576 |
14 | 113.8 | 108.948077901234 | 4.85192209876554 |
15 | 123.1 | 118.463999628398 | 4.6360003716015 |
16 | 125.1 | 119.907200673507 | 5.19279932649277 |
17 | 137.6 | 132.276859461182 | 5.32314053881791 |
18 | 134 | 130.210418212023 | 3.78958178797703 |
19 | 140.3 | 134.256614453362 | 6.04338554663798 |
20 | 152.1 | 144.736247276670 | 7.36375272332981 |
21 | 150.6 | 137.995391906789 | 12.6046080932107 |
22 | 167.3 | 156.945712015124 | 10.3542879848757 |
23 | 153.2 | 163.396038159528 | -10.1960381595276 |
24 | 142 | 154.849623944533 | -12.8496239445329 |
25 | 154.4 | 148.506319551579 | 5.89368044842075 |
26 | 158.5 | 147.866585481524 | 10.6334145184755 |
27 | 180.9 | 164.631824042517 | 16.2681759574834 |
28 | 181.3 | 175.567955731245 | 5.73204426875478 |
29 | 172.4 | 191.802646718712 | -19.402646718712 |
30 | 192 | 164.863473774272 | 27.1365262257281 |
31 | 199.3 | 190.949383604587 | 8.35061639541266 |
32 | 215.4 | 205.702345114928 | 9.69765488507204 |
33 | 214.3 | 195.994258402797 | 18.3057415972030 |
34 | 201.5 | 222.934924962338 | -21.434924962338 |
35 | 190.5 | 197.381223101414 | -6.88122310141443 |
36 | 196 | 191.773554538566 | 4.22644546143371 |
37 | 215.7 | 205.235897139547 | 10.4641028604525 |
38 | 209.4 | 206.861121223847 | 2.5388787761529 |
39 | 214.1 | 218.775207632589 | -4.67520763258923 |
40 | 237.8 | 208.622057878781 | 29.1779421212193 |
41 | 239 | 247.186330674228 | -8.1863306742282 |
42 | 237.8 | 231.585567729447 | 6.21443227055343 |
43 | 251.5 | 236.778527966979 | 14.7214720330210 |
44 | 248.8 | 259.315992533638 | -10.5159925336380 |
45 | 215.4 | 228.561073660509 | -13.1610736605085 |
46 | 201.2 | 223.326442855265 | -22.1264428552645 |
47 | 203.1 | 198.173013434133 | 4.92698656586674 |
48 | 214.2 | 204.416505407971 | 9.78349459202849 |
49 | 188.9 | 224.341293039953 | -35.4412930399533 |
50 | 203 | 183.868147120199 | 19.1318528798014 |
51 | 213.3 | 210.250323687874 | 3.04967631212565 |
52 | 228.5 | 209.543227719543 | 18.9567722804574 |
53 | 228.2 | 235.442320602473 | -7.2423206024728 |
54 | 240.9 | 222.079535109339 | 18.8204648906605 |
55 | 258.8 | 239.51220672625 | 19.2877932737498 |
56 | 248.5 | 264.519262667103 | -16.0192626671034 |
57 | 269.2 | 228.342639234705 | 40.8573607652953 |
58 | 289.6 | 273.686900365972 | 15.9130996340282 |
59 | 323.4 | 284.58714912856 | 38.8128508714401 |
60 | 317.2 | 323.680321250667 | -6.48032125066726 |
61 | 322.8 | 328.121135389173 | -5.32113538917292 |
62 | 340.9 | 316.821947449979 | 24.0780525500209 |
63 | 368.2 | 351.586354518257 | 16.6136454817434 |
64 | 388.5 | 362.745133782865 | 25.7548662171350 |
65 | 441.2 | 397.375466857159 | 43.824533142841 |
66 | 474.3 | 428.681795065001 | 45.6182049349993 |
67 | 483.9 | 470.79967917269 | 13.1003208273100 |
68 | 417.9 | 491.223973199139 | -73.3239731991388 |
69 | 365.9 | 393.507586970987 | -27.6075869709869 |
70 | 263 | 375.641652170156 | -112.641652170156 |
71 | 199.4 | 269.142256092473 | -69.7422560924728 |
72 | 157.2 | 204.481052461895 | -47.2810524618951 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 166.06560235588 | 112.580258339886 | 219.550946371874 |
74 | 163.855755274616 | 89.8080827077046 | 237.903427841527 |
75 | 169.564447098225 | 81.0666452948311 | 258.062248901619 |
76 | 167.884758001092 | 64.2499565571834 | 271.519559445001 |
77 | 173.005434776591 | 60.0763456583152 | 285.934523894867 |
78 | 169.314695425893 | 46.5561396524902 | 292.073251199296 |
79 | 168.406144036728 | 35.8288892855833 | 300.983398787873 |
80 | 168.740672618867 | 34.9129216350159 | 302.568423602718 |
81 | 157.999834058789 | 15.9586367148078 | 300.041031402771 |
82 | 157.171728060068 | 7.1164318170824 | 307.227024303054 |
83 | 156.742167049015 | -1.67086003569091 | 315.155194133721 |
84 | 157.2 | NA | NA |