Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.388480381575032 |
beta | 0.079378799348397 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 87.3 | 48.6 | 38.7 |
4 | 57.4 | 44.1275867792093 | 13.2724132207907 |
5 | 56.2 | 30.1863377607131 | 26.013662239287 |
6 | 61.6 | 21.997000089345 | 39.602999910655 |
7 | 77.7 | 20.3080954183551 | 57.3919045816449 |
8 | 177.2 | 27.2996314817916 | 149.900368518208 |
9 | 97.6 | 74.8513845066085 | 22.7486154933915 |
10 | 81.6 | 73.7086774716441 | 7.8913225283559 |
11 | 96.8 | 67.0375491477881 | 29.7624508522119 |
12 | 191.3 | 69.780712960143 | 121.519287039857 |
13 | 106 | 111.916910673859 | -5.91691067385916 |
14 | 75.1 | 104.3641852701 | -29.2641852700999 |
15 | 72 | 86.8390789316744 | -14.8390789316744 |
16 | 63.5 | 74.4602491540468 | -10.9602491540468 |
17 | 57.4 | 63.250286280699 | -5.850286280699 |
18 | 62.3 | 53.8450378345352 | 8.45496216546477 |
19 | 79.4 | 50.2578243299821 | 29.1421756700179 |
20 | 178.1 | 55.605847789181 | 122.494152210819 |
21 | 109.3 | 100.996647903667 | 8.30335209633299 |
22 | 85.2 | 102.282613768227 | -17.0826137682267 |
23 | 102.7 | 93.179851551105 | 9.52014844889507 |
24 | 193.7 | 94.7053143803685 | 98.9946856196315 |
25 | 108.4 | 134.04258919058 | -25.6425891905805 |
26 | 73.4 | 124.169984676402 | -50.769984676402 |
27 | 85.9 | 102.970280563629 | -17.0702805636285 |
28 | 58.5 | 94.3358523079252 | -35.8358523079252 |
29 | 58.6 | 77.3062935949926 | -18.7062935949926 |
30 | 62.7 | 66.3543844237556 | -3.65438442375563 |
31 | 77.5 | 61.1371560300039 | 16.3628439699961 |
32 | 180.5 | 64.2008109189472 | 116.299189081053 |
33 | 102.2 | 109.674105741473 | -7.47410574147283 |
34 | 82.6 | 106.833423969598 | -24.2334239695977 |
35 | 97.8 | 96.7347871875331 | 1.06521281246687 |
36 | 197.8 | 96.4970225565805 | 101.302977443419 |
37 | 93.8 | 138.323553657549 | -44.5235536575489 |
38 | 72.4 | 122.126360757447 | -49.7263607574465 |
39 | 77.7 | 102.374562299322 | -24.6745622993225 |
40 | 58.7 | 91.5940039658122 | -32.8940039658122 |
41 | 53.1 | 76.6059979017651 | -23.5059979017651 |
42 | 64.3 | 64.5401910606676 | -0.240191060667613 |
43 | 76.4 | 61.5052869415902 | 14.8947130584098 |
44 | 188.4 | 64.8093059990854 | 123.590694000915 |
45 | 105.5 | 114.15076057243 | -8.65076057243009 |
46 | 79.8 | 111.852239990084 | -32.0522399900841 |
47 | 96.1 | 99.4743054237077 | -3.37430542370771 |
48 | 202.5 | 98.133132005557 | 104.366867994443 |
49 | 97.3 | 141.865662946582 | -44.5656629465819 |
50 | 89.5 | 126.366551354878 | -36.8665513548784 |
51 | 64.7 | 112.721535810545 | -48.0215358105447 |
52 | 61.2 | 93.26218244586 | -32.06218244586 |
53 | 57.8 | 79.0140198389737 | -21.2140198389737 |
54 | 62 | 68.3259765970259 | -6.32597659702591 |
55 | 76.3 | 63.2265712620959 | 13.0734287379041 |
56 | 195 | 66.0666010251793 | 128.933398974821 |
57 | 110.9 | 117.8918891598 | -6.9918891598 |
58 | 81.4 | 116.697259865209 | -35.2972598652093 |
59 | 101.7 | 103.418084005214 | -1.71808400521401 |
60 | 202.2 | 103.130778457253 | 99.0692215427473 |
61 | 97.4 | 145.052371938275 | -47.6523719382755 |
62 | 68.5 | 128.5060435415 | -60.0060435415 |
63 | 86.8 | 105.31014334553 | -18.5101433455298 |
64 | 59.1 | 97.6637870342588 | -38.5637870342588 |
65 | 62.4 | 81.0377879722635 | -18.6377879722635 |
66 | 66.2 | 71.577913180987 | -5.37791318098701 |
67 | 68 | 67.1034003280445 | 0.896599671955514 |
68 | 198.5 | 65.0940611617671 | 133.405938838233 |
69 | 120.4 | 118.675853748708 | 1.72414625129198 |
70 | 90.2 | 121.155020986148 | -30.9550209861484 |
71 | 103.2 | 109.984409594208 | -6.78440959420841 |
72 | 207.3 | 107.994394979144 | 99.3056050208558 |
73 | 106.4 | 150.280567217266 | -43.8805672172662 |
74 | 75.5 | 135.588570914034 | -60.0885709140336 |
75 | 97.3 | 112.747125503834 | -15.4471255038337 |
76 | 60 | 106.771661190078 | -46.7716611900785 |
77 | 67.5 | 87.1849266142028 | -19.6849266142028 |
78 | 71.2 | 77.5138308482658 | -6.31383084826578 |
79 | 73.7 | 72.8424431947817 | 0.857556805218323 |
80 | 213.3 | 70.9834435236719 | 142.316556476328 |
81 | 114.6 | 128.467120796611 | -13.8671207966114 |
82 | 96.1 | 124.848881649245 | -28.7488816492445 |
83 | 117 | 114.562838049069 | 2.43716195093079 |
84 | 229.2 | 116.467115588559 | 112.732884411441 |
85 | 105.6 | 164.695473411175 | -59.0954734111746 |
86 | 99.9 | 144.349551828394 | -44.4495518283938 |
87 | 79.3 | 128.322587897676 | -49.0225878976756 |
88 | 72.5 | 109.007374417674 | -36.5073744176737 |
89 | 67.4 | 93.4282940616907 | -26.0282940616907 |
90 | 78.3 | 81.1174935712128 | -2.81749357121281 |
91 | 85.7 | 77.7367503632958 | 7.96324963670418 |
92 | 177.4 | 78.7896779656735 | 98.6103220343265 |
93 | 113.6 | 118.098071820628 | -4.49807182062801 |
94 | 94.1 | 117.212169968524 | -23.112169968524 |
95 | 105.7 | 108.382343724036 | -2.6823437240355 |
96 | 228.3 | 107.406388456074 | 120.893611543926 |
97 | 100.3 | 158.165276589424 | -57.8652765894245 |
98 | 70.3 | 137.69544596786 | -67.3954459678596 |
99 | 94.2 | 111.445050980946 | -17.2450509809459 |
100 | 66.5 | 104.145313105131 | -37.6453131051313 |
101 | 64.4 | 87.7596010946749 | -23.3596010946749 |
102 | 73.7 | 76.2032654359678 | -2.50326543596778 |
103 | 87.9 | 72.6720135499667 | 15.2279864500333 |
104 | 152.2 | 76.4985921987252 | 75.7014078012747 |
105 | 97.3 | 106.152321005549 | -8.85232100554869 |
106 | 89.3 | 102.685605018411 | -13.3856050184113 |
107 | 107.6 | 97.0450238038641 | 10.5549761961359 |
108 | 228.4 | 101.030373637203 | 127.369626362797 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
109 | 154.323634043264 | 47.272984601823 | 261.374283484706 |
110 | 158.136293398837 | 42.0553178321554 | 274.21726896552 |
111 | 161.94895275441 | 36.2628137538313 | 287.63509175499 |
112 | 165.761612109984 | 29.9371870635074 | 301.58603715646 |
113 | 169.574271465557 | 23.1147393626518 | 316.033803568461 |
114 | 173.38693082113 | 15.8269079760202 | 330.946953666239 |
115 | 177.199590176703 | 8.10089664849966 | 346.298283704905 |
116 | 181.012249532276 | -0.0397086291137612 | 362.064207693665 |
117 | 184.824908887849 | -8.57438260678703 | 378.224200382484 |
118 | 188.637568243422 | -17.4851774468497 | 394.760313933693 |
119 | 192.450227598995 | -26.7563131865662 | 411.656768384555 |
120 | 196.262886954568 | -36.3738354169099 | 428.899609326045 |