Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.65608700669263 |
beta | 0.199347512411938 |
gamma | 0.778784375543958 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 166 | 157.727831196581 | 8.27216880341874 |
14 | 167 | 165.148863912451 | 1.85113608754861 |
15 | 163 | 163.349249310514 | -0.349249310513926 |
16 | 169 | 169.976979028572 | -0.976979028571549 |
17 | 168 | 168.940085019218 | -0.940085019217804 |
18 | 158 | 158.34611028314 | -0.346110283140092 |
19 | 159 | 161.179900460986 | -2.17990046098626 |
20 | 161 | 159.150457047078 | 1.84954295292155 |
21 | 166 | 165.048246219546 | 0.951753780454453 |
22 | 177 | 178.148153470689 | -1.1481534706891 |
23 | 186 | 184.511839322447 | 1.4881606775526 |
24 | 182 | 174.758145477979 | 7.2418545220205 |
25 | 203 | 203.817101184095 | -0.81710118409535 |
26 | 213 | 204.42147276007 | 8.57852723993014 |
27 | 215 | 208.192606877693 | 6.80739312230722 |
28 | 216 | 222.029934612889 | -6.02993461288895 |
29 | 219 | 219.709216291758 | -0.709216291758281 |
30 | 217 | 211.477466078678 | 5.52253392132152 |
31 | 216 | 220.489669811131 | -4.48966981113142 |
32 | 222 | 220.5411696287 | 1.45883037130045 |
33 | 224 | 228.408188477132 | -4.40818847713197 |
34 | 234 | 239.194087044029 | -5.194087044029 |
35 | 237 | 244.845224798244 | -7.84522479824417 |
36 | 233 | 230.52418777136 | 2.47581222863977 |
37 | 253 | 253.689529328555 | -0.689529328555068 |
38 | 257 | 256.302540683068 | 0.697459316932168 |
39 | 254 | 252.806351209559 | 1.19364879044076 |
40 | 258 | 257.165795510041 | 0.834204489959347 |
41 | 253 | 259.314870283401 | -6.31487028340132 |
42 | 241 | 246.882489682149 | -5.88248968214907 |
43 | 238 | 242.046832549729 | -4.0468325497292 |
44 | 240 | 240.356437675536 | -0.35643767553637 |
45 | 240 | 241.598032118701 | -1.59803211870056 |
46 | 245 | 250.521622655281 | -5.52162265528051 |
47 | 249 | 251.709440694276 | -2.70944069427568 |
48 | 247 | 240.655593016958 | 6.34440698304167 |
49 | 263 | 263.150596697325 | -0.150596697325227 |
50 | 265 | 264.198477854505 | 0.801522145494744 |
51 | 261 | 258.626869698374 | 2.37313030162647 |
52 | 257 | 261.54155924439 | -4.5415592443901 |
53 | 252 | 255.423481253515 | -3.42348125351492 |
54 | 245 | 242.556654200147 | 2.44334579985298 |
55 | 235 | 242.316795880531 | -7.31679588053095 |
56 | 240 | 237.683432579467 | 2.31656742053286 |
57 | 243 | 238.909808710174 | 4.09019128982595 |
58 | 255 | 249.8220554036 | 5.17794459639961 |
59 | 252 | 259.489865562035 | -7.48986556203522 |
60 | 240 | 247.806290533727 | -7.80629053372743 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 257.508580649709 | 248.963599976447 | 266.053561322971 |
62 | 257.160931097206 | 246.287718204553 | 268.034143989859 |
63 | 249.630209240722 | 236.22443201991 | 263.035986461534 |
64 | 246.971373697817 | 230.847508404831 | 263.095238990804 |
65 | 242.561844785185 | 223.548236755391 | 261.575452814979 |
66 | 232.38964189656 | 210.325470434854 | 254.453813358266 |
67 | 226.49026065252 | 201.223520214668 | 251.757001090372 |
68 | 228.752076559485 | 200.138149095363 | 257.366004023608 |
69 | 228.145219177242 | 196.04581568713 | 260.244622667355 |
70 | 235.341927973286 | 199.62427442108 | 271.059581525492 |
71 | 236.219111119095 | 196.755303878664 | 275.682918359527 |
72 | 228.343810807525 | 185.010294347985 | 271.677327267064 |