Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.800423354394571 |
beta | 0.0331010306156857 |
gamma | 0.155500317120044 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 104.73 | 103.368149038462 | 1.36185096153842 |
14 | 104.86 | 104.608071881991 | 0.251928118009161 |
15 | 105.03 | 104.980428021314 | 0.0495719786860462 |
16 | 105.62 | 105.610876982360 | 0.00912301763962375 |
17 | 105.63 | 105.625858029865 | 0.0041419701350236 |
18 | 105.63 | 105.604878538112 | 0.0251214618882756 |
19 | 105.94 | 106.117190443916 | -0.177190443916487 |
20 | 106.61 | 106.116205876677 | 0.49379412332317 |
21 | 107.69 | 107.668709356110 | 0.0212906438897846 |
22 | 107.78 | 107.852324107732 | -0.0723241077323422 |
23 | 107.93 | 107.954507876992 | -0.0245078769920042 |
24 | 108.48 | 108.106398875159 | 0.373601124840917 |
25 | 108.14 | 108.929524782175 | -0.789524782174595 |
26 | 108.48 | 108.417362950348 | 0.0626370496522384 |
27 | 108.48 | 108.631283210951 | -0.151283210950908 |
28 | 108.89 | 109.093743139711 | -0.203743139710568 |
29 | 108.93 | 108.926582160962 | 0.00341783903807880 |
30 | 109.21 | 108.894050554871 | 0.315949445129021 |
31 | 109.47 | 109.628951231003 | -0.158951231002746 |
32 | 109.8 | 109.659954346236 | 0.14004565376365 |
33 | 111.73 | 110.901838098200 | 0.828161901800428 |
34 | 111.85 | 111.736956701582 | 0.113043298417523 |
35 | 112.12 | 112.002478606070 | 0.117521393930190 |
36 | 112.15 | 112.297652993425 | -0.147652993425410 |
37 | 112.17 | 112.670892505072 | -0.500892505071604 |
38 | 112.67 | 112.427286435139 | 0.242713564860921 |
39 | 112.8 | 112.794557950005 | 0.00544204999491171 |
40 | 113.44 | 113.400841451500 | 0.0391585485001116 |
41 | 113.53 | 113.460974446730 | 0.0690255532704072 |
42 | 114.53 | 113.518834939470 | 1.01116506052988 |
43 | 114.51 | 114.842062851837 | -0.332062851836938 |
44 | 115.05 | 114.785794556026 | 0.26420544397412 |
45 | 116.67 | 116.193715490933 | 0.476284509067455 |
46 | 117.07 | 116.760968748486 | 0.309031251513616 |
47 | 116.92 | 117.224674324740 | -0.304674324739665 |
48 | 117 | 117.203669270894 | -0.203669270894281 |
49 | 117.02 | 117.549610742311 | -0.529610742310979 |
50 | 117.35 | 117.333835495933 | 0.0161645040668503 |
51 | 117.36 | 117.534146260088 | -0.174146260088264 |
52 | 117.82 | 118.014709234096 | -0.194709234095882 |
53 | 117.88 | 117.899359389291 | -0.0193593892907273 |
54 | 118.24 | 117.924154836292 | 0.315845163708474 |
55 | 118.5 | 118.639165780956 | -0.139165780956333 |
56 | 118.8 | 118.750931673467 | 0.0490683265329324 |
57 | 119.76 | 119.98266366231 | -0.222663662310097 |
58 | 120.09 | 119.956183501387 | 0.133816498612504 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
59 | 120.226866527610 | 119.495761283632 | 120.957971771589 |
60 | 120.427206141141 | 119.478516106375 | 121.375896175907 |
61 | 120.905791702873 | 119.770314999450 | 122.041268406296 |
62 | 121.124636722078 | 119.819589214388 | 122.429684229769 |
63 | 121.299444358661 | 119.835788601420 | 122.763100115901 |
64 | 121.916715354507 | 120.301947472475 | 123.531483236539 |
65 | 121.965771409587 | 120.205242840537 | 123.726299978637 |
66 | 122.020092537433 | 120.117726852765 | 123.922458222101 |
67 | 122.463431612958 | 120.422150443244 | 124.504712782672 |
68 | 122.691376813736 | 120.513370357589 | 124.869383269883 |
69 | 123.873046383359 | 121.559954176059 | 126.186138590659 |
70 | 124.039399952275 | 121.59243661849 | 126.486363286060 |