Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0.309031250642435 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 247.84 | 248.9 | -1.05999999999997 |
4 | 248.27 | 248.842426874319 | -0.572426874319007 |
5 | 248.3 | 249.095529081447 | -0.795529081446858 |
6 | 248.31 | 248.879685734485 | -0.569685734484921 |
7 | 248.31 | 248.713635039484 | -0.403635039483873 |
8 | 248.38 | 248.588899198429 | -0.208899198429066 |
9 | 248.37 | 248.59434281788 | -0.224342817880313 |
10 | 248.41 | 248.515013876298 | -0.105013876298131 |
11 | 248.68 | 248.522561306771 | 0.157438693229096 |
12 | 248.75 | 248.841214783039 | -0.0912147830390211 |
13 | 248.75 | 248.883026564559 | -0.133026564559373 |
14 | 247.95 | 248.841917198945 | -0.891917198944952 |
15 | 248.13 | 247.766286911485 | 0.363713088514544 |
16 | 247.86 | 248.058685622104 | -0.198685622104136 |
17 | 246.23 | 247.727285555821 | -1.49728555582067 |
18 | 245.98 | 245.634577527937 | 0.34542247206349 |
19 | 245.98 | 245.491323866478 | 0.488676133521693 |
20 | 246.27 | 245.64234006318 | 0.627659936820407 |
21 | 246.31 | 246.126306598433 | 0.183693401566615 |
22 | 246.3 | 246.223073600054 | 0.0769263999457337 |
23 | 246.67 | 246.236846261637 | 0.433153738363046 |
24 | 246.78 | 246.740704303124 | 0.0392956968763087 |
25 | 246.78 | 246.862847901474 | -0.0828479014742527 |
26 | 247.91 | 246.837245310869 | 1.07275468913144 |
27 | 247.99 | 248.298760034083 | -0.308760034083377 |
28 | 248.6 | 248.283343534602 | 0.316656465397784 |
29 | 248.68 | 248.991200278128 | -0.311200278128069 |
30 | 248.75 | 248.975029666978 | -0.225029666977917 |
31 | 248.75 | 248.97548846756 | -0.225488467560069 |
32 | 249.03 | 248.905805484425 | 0.124194515575482 |
33 | 249.05 | 249.224185470896 | -0.174185470895736 |
34 | 249.57 | 249.190356716981 | 0.379643283018879 |
35 | 249.35 | 249.82767835553 | -0.477678355530429 |
36 | 249.46 | 249.460060815916 | -6.08159160151445e-05 |
37 | 249.46 | 249.570042021897 | -0.110042021897442 |
38 | 250.82 | 249.536035598247 | 1.28396440175274 |
39 | 254.19 | 251.292820723101 | 2.89717927689873 |
40 | 255.18 | 255.558139658377 | -0.378139658376625 |
41 | 256.68 | 256.431282686831 | 0.248717313168981 |
42 | 256.73 | 258.008144109176 | -1.27814410917603 |
43 | 256.73 | 257.663157636616 | -0.933157636616102 |
44 | 257.39 | 257.374782765126 | 0.0152172348738873 |
45 | 257.78 | 258.03948536625 | -0.259485366250487 |
46 | 258.67 | 258.349296278995 | 0.320703721005373 |
47 | 258.71 | 259.338403750983 | -0.62840375098267 |
48 | 258.91 | 259.184207353908 | -0.274207353908025 |
49 | 258.91 | 259.299468712395 | -0.389468712394546 |
50 | 261.38 | 259.179110709117 | 2.2008892908828 |
51 | 262.42 | 262.329254279204 | 0.0907457207958373 |
52 | 262.77 | 263.397297542792 | -0.627297542792235 |
53 | 263.24 | 263.553442998618 | -0.313442998618143 |
54 | 262.83 | 263.92657931675 | -1.09657931675014 |
55 | 262.83 | 263.177702039066 | -0.347702039066178 |
56 | 263.09 | 263.070251243083 | 0.0197487569173518 |
57 | 263.6 | 263.336354226131 | 0.263645773868632 |
58 | 265.68 | 263.927829009357 | 1.75217099064332 |
59 | 266.08 | 266.549304601935 | -0.469304601934596 |
60 | 266.28 | 266.804274813866 | -0.524274813866498 |
61 | 266.28 | 266.842257512457 | -0.562257512456995 |
62 | 269.14 | 266.668502370199 | 2.47149762980069 |
63 | 270.96 | 270.292272373696 | 0.667727626303588 |
64 | 272.97 | 272.318621077141 | 0.651378922858555 |
65 | 273.13 | 274.529917520315 | -1.39991752031466 |
66 | 274.73 | 274.257299258216 | 0.472700741784479 |
67 | 274.73 | 276.003378559629 | -1.27337855962878 |
68 | 274.59 | 275.609864790805 | -1.01986479080551 |
69 | 275.15 | 275.154694699017 | -0.00469469901662478 |
70 | 275.16 | 275.713243890308 | -0.553243890308067 |
71 | 275.38 | 275.552274238976 | -0.172274238975945 |
72 | 275.4 | 275.719036115452 | -0.319036115451752 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 275.640443985694 | 274.05508740171 | 277.225800569677 |
74 | 275.880887971387 | 273.269346659886 | 278.492429282888 |
75 | 276.121331957081 | 272.460672173949 | 279.781991740212 |
76 | 276.361775942774 | 271.59373084496 | 281.129821040589 |
77 | 276.602219928468 | 270.660698867283 | 282.543740989652 |
78 | 276.842663914161 | 269.660551556164 | 284.024776272158 |
79 | 277.083107899855 | 268.594438820434 | 285.571776979276 |
80 | 277.323551885549 | 267.464240578489 | 287.182863192608 |
81 | 277.563995871242 | 266.272036761786 | 288.855954980698 |
82 | 277.804439856936 | 265.019897688434 | 290.588982025437 |
83 | 278.044883842629 | 263.709800804392 | 292.379966880867 |
84 | 278.285327828323 | 262.343600984205 | 294.227054672441 |