Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.799850524962499 |
beta | 0.020735492314969 |
gamma | 1 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 180.5 | 165.082716346154 | 15.4172836538462 |
14 | 181.14 | 177.593119319939 | 3.54688068006092 |
15 | 180.93 | 179.518216970621 | 1.41178302937928 |
16 | 211.91 | 210.968137148415 | 0.941862851584659 |
17 | 223.81 | 223.144479164668 | 0.665520835332188 |
18 | 226.88 | 226.46999339981 | 0.410006600189547 |
19 | 226.8 | 219.290851186681 | 7.50914881331886 |
20 | 231.81 | 227.302836376704 | 4.50716362329629 |
21 | 232.06 | 232.777184772219 | -0.717184772219127 |
22 | 232.32 | 237.253857307065 | -4.93385730706513 |
23 | 228.37 | 231.786409291954 | -3.41640929195447 |
24 | 226.31 | 229.890197381056 | -3.58019738105602 |
25 | 225.72 | 229.334362083305 | -3.61436208330539 |
26 | 219.98 | 224.291722051082 | -4.311722051082 |
27 | 219.31 | 219.418720019314 | -0.108720019313949 |
28 | 215.19 | 249.448139279254 | -34.2581392792544 |
29 | 213.81 | 232.72035752504 | -18.9103575250404 |
30 | 213.7 | 219.318208553049 | -5.61820855304936 |
31 | 213.6 | 207.619559565126 | 5.98044043487414 |
32 | 213.52 | 212.663881410689 | 0.856118589310995 |
33 | 218.39 | 212.967655887936 | 5.42234411206383 |
34 | 219.97 | 220.408261881352 | -0.438261881351764 |
35 | 221.09 | 217.812088276545 | 3.27791172345462 |
36 | 219.17 | 220.320331354385 | -1.15033135438458 |
37 | 219.17 | 220.82426858022 | -1.65426858021954 |
38 | 218.45 | 216.365423815563 | 2.08457618443714 |
39 | 216.88 | 216.711407106534 | 0.168592893465501 |
40 | 216.19 | 239.393920394934 | -23.203920394934 |
41 | 214.59 | 234.029322841504 | -19.4393228415039 |
42 | 269.87 | 222.305335238822 | 47.5646647611775 |
43 | 272.71 | 255.789390424552 | 16.9206095754483 |
44 | 280.35 | 269.062919427376 | 11.2870805726242 |
45 | 274.5 | 279.301169993938 | -4.80116999393772 |
46 | 268.86 | 277.89927368815 | -9.03927368815022 |
47 | 261.7 | 269.532494195976 | -7.83249419597558 |
48 | 263.98 | 262.448621111375 | 1.53137888862511 |
49 | 263.01 | 265.221998237719 | -2.2119982377186 |
50 | 262.79 | 261.281466146087 | 1.50853385391309 |
51 | 263.59 | 260.989750010543 | 2.60024998945653 |
52 | 267 | 281.186090371393 | -14.1860903713933 |
53 | 267.89 | 284.184315618946 | -16.2943156189458 |
54 | 267.86 | 288.835262007637 | -20.9752620076374 |
55 | 266.84 | 260.676059732759 | 6.16394026724134 |
56 | 268.24 | 263.35174124742 | 4.88825875257965 |
57 | 267.67 | 264.279137550503 | 3.39086244949721 |
58 | 269.07 | 267.744557369068 | 1.32544263093155 |
59 | 270.87 | 267.244608722821 | 3.62539127717929 |
60 | 271.68 | 270.724608810189 | 0.955391189810712 |
61 | 271.63 | 271.803597160101 | -0.173597160101338 |
62 | 275.21 | 269.787501521033 | 5.42249847896665 |
63 | 276.66 | 272.45915044812 | 4.20084955187986 |
64 | 276.08 | 290.216772404363 | -14.1367724043628 |
65 | 278.3 | 292.474120836338 | -14.1741208363379 |
66 | 279.06 | 297.560817586391 | -18.500817586391 |
67 | 279.28 | 276.530537872171 | 2.74946212782856 |
68 | 279.12 | 275.881029946947 | 3.23897005305304 |
69 | 262.72 | 274.823394473129 | -12.1033944731295 |
70 | 262.55 | 264.859210992247 | -2.30921099224662 |
71 | 260.7 | 261.229013377607 | -0.529013377607498 |
72 | 259.14 | 260.099406706794 | -0.9594067067938 |
73 | 260.61 | 258.636814143186 | 1.97318585681381 |
74 | 260.53 | 258.70942227481 | 1.82057772519022 |
75 | 259.07 | 257.447364331736 | 1.62263566826448 |
76 | 257.01 | 268.621578442461 | -11.6115784424608 |
77 | 257.08 | 272.082153697488 | -15.0021536974876 |
78 | 256.83 | 274.817753052954 | -17.9877530529536 |
79 | 256.75 | 257.636781137944 | -0.886781137944126 |
80 | 257.61 | 253.302189250438 | 4.30781074956201 |
81 | 258.58 | 249.171819769185 | 9.40818023081459 |
82 | 259.57 | 257.873876496015 | 1.69612350398523 |
83 | 259.29 | 257.369978256587 | 1.92002174341258 |
84 | 258.51 | 257.720033440305 | 0.789966559694619 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 257.879591561251 | 236.54448785447 | 279.214695268032 |
86 | 255.946632340547 | 228.403951759849 | 283.489312921246 |
87 | 252.761802360412 | 219.982780490765 | 285.540824230059 |
88 | 259.535453593923 | 222.078383075042 | 296.992524112805 |
89 | 271.343639672166 | 229.575790276448 | 313.111489067884 |
90 | 285.468674098115 | 239.650795199286 | 331.286552996944 |
91 | 286.383819340695 | 236.710316333703 | 336.057322347686 |
92 | 284.09877506134 | 230.719562965872 | 337.477987156809 |
93 | 277.772751265344 | 220.806282234641 | 334.739220296047 |
94 | 277.479182651819 | 217.020748592866 | 337.937616710773 |
95 | 275.708398206276 | 211.835699286992 | 339.581097125559 |
96 | 274.30964486677 | 207.086678053783 | 341.532611679758 |