Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.975824090716957 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 92 | 93 | -1 |
3 | 91 | 92.024175909283 | -1.02417590928304 |
4 | 89 | 91.0247603838727 | -2.0247603838727 |
5 | 87 | 89.0489504233604 | -2.04895042336041 |
6 | 86 | 87.0495352395606 | -1.04953523956061 |
7 | 87 | 86.025373468741 | 0.97462653125902 |
8 | 89 | 86.9764375173954 | 2.02356248260456 |
9 | 90 | 88.951078536992 | 1.04892146300801 |
10 | 90 | 89.9746413698653 | 0.0253586301347184 |
11 | 91 | 89.9993869320583 | 1.00061306794169 |
12 | 93 | 90.975809269242 | 2.02419073075798 |
13 | 93 | 92.9510633485216 | 0.0489366514783853 |
14 | 87 | 92.9988169119532 | -5.99881691195324 |
15 | 89 | 87.145026853469 | 1.85497314653104 |
16 | 92 | 88.955154337487 | 3.04484566251301 |
17 | 98 | 91.9263880874822 | 6.07361191251778 |
18 | 92 | 97.8531649093826 | -5.85316490938256 |
19 | 92 | 92.141505583868 | -0.141505583867925 |
20 | 87 | 92.0034210261586 | -5.00342102615863 |
21 | 92 | 87.1209622528333 | 4.87903774716672 |
22 | 98 | 91.882044826036 | 6.11795517396405 |
23 | 101 | 97.8520928707165 | 3.14790712928348 |
24 | 102 | 100.923896482811 | 1.076103517189 |
25 | 102 | 101.973984218989 | 0.0260157810107273 |
26 | 90 | 101.999371044838 | -11.9993710448384 |
27 | 87 | 90.2900957058336 | -3.29009570583359 |
28 | 92 | 87.0795410553168 | 4.92045894468323 |
29 | 105 | 91.8810434309224 | 13.1189565690776 |
30 | 90 | 104.682837296098 | -14.6828372960978 |
31 | 88 | 90.3549709424881 | -2.35497094248814 |
32 | 83 | 88.0569335638698 | -5.05693356386979 |
33 | 98 | 83.1222559670905 | 14.8777440329095 |
34 | 109 | 97.640317009924 | 11.359682990076 |
35 | 118 | 108.725369334548 | 9.2746306654522 |
36 | 118 | 117.775777370398 | 0.224222629601698 |
37 | 115 | 117.994579214048 | -2.99457921404755 |
38 | 107 | 115.07239667542 | -8.0723966754197 |
39 | 101 | 107.195157529722 | -6.19515752972168 |
40 | 111 | 101.149773566433 | 9.85022643356729 |
41 | 128 | 110.761861819325 | 17.2381381806753 |
42 | 115 | 127.583252335135 | -12.5832523351354 |
43 | 111 | 115.30421156694 | -4.30421156693987 |
44 | 105 | 111.104058228377 | -6.10405822837737 |
45 | 120 | 105.147571157988 | 14.8524288420123 |
46 | 132 | 119.640929027683 | 12.3590709723173 |
47 | 135 | 131.701208221351 | 3.29879177864944 |
48 | 142 | 134.920248709216 | 7.07975129078429 |
49 | 139 | 141.828840575047 | -2.82884057504748 |
50 | 127 | 139.068389793119 | -12.0683897931185 |
51 | 113 | 127.291764296831 | -14.2917642968308 |
52 | 130 | 113.345516397135 | 16.6544836028652 |
53 | 143 | 129.597362715261 | 13.4026372847388 |
54 | 139 | 142.675979056851 | -3.67597905685062 |
55 | 137 | 139.088870136205 | -2.08887013620478 |
56 | 134 | 137.050500334917 | -3.05050033491693 |
57 | 139 | 134.073748619365 | 4.92625138063516 |
58 | 157 | 138.880903393516 | 18.1190966064837 |
59 | 152 | 156.561954364151 | -4.56195436415095 |
60 | 153 | 152.110289394861 | 0.889710605138902 |
61 | 147 | 152.978490437122 | -5.97849043712199 |
62 | 132 | 147.144535442457 | -15.1445354424574 |
63 | 117 | 132.366132914991 | -15.3661329149907 |
64 | 123 | 117.371490235384 | 5.628509764616 |
65 | 139 | 122.863925658532 | 16.1360743414681 |
66 | 134 | 138.609895730536 | -4.60989573053624 |
67 | 134 | 134.111448420986 | -0.111448420985738 |
68 | 128 | 134.002694366915 | -6.00269436691548 |
69 | 118 | 128.145120594468 | -10.1451205944684 |
70 | 144 | 118.245267515157 | 25.7547324848426 |
71 | 140 | 143.377355923837 | -3.3773559238374 |
72 | 151 | 140.081650650431 | 10.9183493495688 |
73 | 144 | 150.736038976604 | -6.73603897660425 |
74 | 135 | 144.162849867225 | -9.16284986722542 |
75 | 122 | 135.221520227164 | -13.2215202271642 |
76 | 124 | 122.319642273596 | 1.68035772640415 |
77 | 146 | 123.959375824043 | 22.0406241759566 |
78 | 146 | 145.46714786938 | 0.532852130619574 |
79 | 147 | 145.987117815229 | 1.01288218477114 |
80 | 148 | 146.975512652187 | 1.02448734781345 |
81 | 132 | 147.975232086818 | -15.9752320868176 |
82 | 161 | 132.386215761706 | 28.6137842382935 |
83 | 159 | 160.30823574801 | -1.30823574801045 |
84 | 173 | 159.031627788765 | 13.9683722112353 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 172.662301900589 | 154.070183847756 | 191.254419953423 |
86 | 172.662301900589 | 146.684963317133 | 198.639640484045 |
87 | 172.662301900589 | 140.976699711764 | 204.347904089415 |
88 | 172.662301900589 | 136.150212775787 | 209.174391025392 |
89 | 172.662301900589 | 131.891136618658 | 213.433467182521 |
90 | 172.662301900589 | 128.036713000995 | 217.287890800183 |
91 | 172.662301900589 | 124.489711656504 | 220.834892144675 |
92 | 172.662301900589 | 121.186543363064 | 224.138060438115 |
93 | 172.662301900589 | 118.082919500249 | 227.24168430093 |
94 | 172.662301900589 | 115.146527982545 | 230.178075818634 |
95 | 172.662301900589 | 112.35293682699 | 232.971666974188 |
96 | 172.662301900589 | 109.683140412287 | 235.641463388892 |