Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.573314480838667 |
beta | 0.0612762739836527 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 67 | 63 | 4 |
4 | 76 | 58.4337802241813 | 17.5662197758187 |
5 | 85 | 62.2623821010106 | 22.7376178989894 |
6 | 106 | 69.8546070036565 | 36.1453929963435 |
7 | 108 | 86.403511972476 | 21.5964880275239 |
8 | 120 | 95.3700160891765 | 24.6299839108235 |
9 | 108 | 106.940932825455 | 1.05906717454477 |
10 | 111 | 105.035507309207 | 5.96449269079287 |
11 | 109 | 106.151969335143 | 2.84803066485692 |
12 | 104 | 105.581771508089 | -1.58177150808878 |
13 | 104 | 102.416335405109 | 1.58366459489058 |
14 | 117 | 101.121324706291 | 15.8786752937094 |
15 | 111 | 108.579677641436 | 2.42032235856384 |
16 | 110 | 108.407189267267 | 1.5928107327329 |
17 | 116 | 107.816232852183 | 8.18376714781692 |
18 | 118 | 111.291467639703 | 6.70853236029654 |
19 | 115 | 114.156603561511 | 0.843396438488796 |
20 | 111 | 113.688801129271 | -2.68880112927089 |
21 | 112 | 111.101479551963 | 0.898520448036791 |
22 | 97 | 110.602386922525 | -13.6023869225255 |
23 | 106 | 101.311854435472 | 4.68814556452767 |
24 | 93 | 102.672246335831 | -9.67224633583125 |
25 | 95 | 95.4598260318778 | -0.459826031877768 |
26 | 97 | 93.5128657387581 | 3.48713426124188 |
27 | 81 | 93.9512599693995 | -12.9512599693995 |
28 | 71 | 84.5102995335033 | -13.5102995335033 |
29 | 75 | 74.2742090263183 | 0.725790973681683 |
30 | 70 | 72.2253728118176 | -2.22537281181764 |
31 | 72 | 68.4064130368351 | 3.59358696316488 |
32 | 80 | 68.0497919413389 | 11.9502080586611 |
33 | 78 | 72.9039604137127 | 5.0960395862873 |
34 | 80 | 74.007561648709 | 5.99243835129106 |
35 | 81 | 75.8355990824591 | 5.16440091754092 |
36 | 99 | 77.3703390395948 | 21.6296609604052 |
37 | 87 | 89.1047134411431 | -2.10471344114313 |
38 | 100 | 87.1578875108047 | 12.8421124891953 |
39 | 95 | 94.2314441275182 | 0.768555872481755 |
40 | 128 | 94.4100557105232 | 33.5899442894768 |
41 | 112 | 114.585678618271 | -2.58567861827107 |
42 | 104 | 113.930456682489 | -9.93045668248864 |
43 | 102 | 108.715504468623 | -6.71550446862338 |
44 | 108 | 105.107811379386 | 2.89218862061426 |
45 | 103 | 107.10995211551 | -4.10995211550997 |
46 | 99 | 104.953279188854 | -5.95327918885415 |
47 | 96 | 101.530658035858 | -5.53065803585783 |
48 | 85 | 98.156036511712 | -13.1560365117120 |
49 | 78 | 89.9474959553871 | -11.9474959553871 |
50 | 74 | 82.012106795492 | -8.01210679549206 |
51 | 106 | 76.0514633083575 | 29.9485366916425 |
52 | 100 | 92.9063157549265 | 7.09368424507348 |
53 | 109 | 96.9073555443104 | 12.0926444556896 |
54 | 87 | 104.199193167075 | -17.1991931670749 |
55 | 107 | 94.0933785612837 | 12.9066214387163 |
56 | 106 | 101.701080461554 | 4.29891953844636 |
57 | 109 | 104.524885731809 | 4.47511426819088 |
58 | 83 | 107.606919330432 | -24.6069193304317 |
59 | 84 | 93.1513467045852 | -9.15134670458518 |
60 | 83 | 87.2351856011425 | -4.23518560114248 |
61 | 65 | 83.9887463421642 | -18.9887463421642 |
62 | 68 | 71.6167914849716 | -3.61679148497156 |
63 | 61 | 67.9307409809361 | -6.93074098093612 |
64 | 75 | 62.1012743248275 | 12.8987256751725 |
65 | 66 | 68.0934677023753 | -2.09346770237528 |
66 | 78 | 65.4168747924803 | 12.5831252075197 |
67 | 68 | 71.5966375536399 | -3.59663755363991 |
68 | 68 | 68.3739560812232 | -0.373956081223227 |
69 | 174 | 66.9857472718381 | 107.014252728162 |
70 | 64 | 130.924225897852 | -66.9242258978518 |
71 | 48 | 92.7901694014725 | -44.7901694014725 |
72 | 45 | 65.7723835994909 | -20.7723835994909 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 51.7945964112031 | 12.2380686036375 | 91.3511242187687 |
74 | 49.725917542039 | 3.42271836520779 | 96.0291167188702 |
75 | 47.6572386728749 | -5.18286480304995 | 100.497342148800 |
76 | 45.5885598037109 | -13.6807573404367 | 104.857876947858 |
77 | 43.5198809345468 | -22.132040063258 | 109.171801932352 |
78 | 41.4512020653827 | -30.5759253366122 | 113.478329467378 |
79 | 39.3825231962187 | -39.0388465094208 | 117.803892901858 |
80 | 37.3138443270546 | -47.5392604093633 | 122.166949063473 |
81 | 35.2451654578906 | -56.090390439128 | 126.580721354909 |
82 | 33.1764865887265 | -64.7018900215527 | 131.054863199006 |
83 | 31.1078077195624 | -73.3809003425036 | 135.596515781628 |
84 | 29.0391288503984 | -82.1327493535649 | 140.211007054362 |