Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.799413060083523 |
beta | 0.0296431814529341 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 74 | 74 | 0 |
4 | 72 | 73 | -1 |
5 | 70 | 71.1768897935206 | -1.17688979352057 |
6 | 69 | 69.1844826461764 | -0.18448264617642 |
7 | 70 | 67.9810470210655 | 2.01895297893452 |
8 | 72 | 68.5869100360298 | 3.41308996397022 |
9 | 73 | 70.3881448569157 | 2.61185514308433 |
10 | 73 | 71.6107556114822 | 1.38924438851775 |
11 | 74 | 71.8889164891041 | 2.11108351089588 |
12 | 76 | 72.794151643446 | 3.20584835655403 |
13 | 74 | 74.6505255709556 | -0.650525570955594 |
14 | 67 | 73.4086482165592 | -6.40864821655921 |
15 | 66 | 67.411785742717 | -1.41178574271699 |
16 | 58 | 65.3760250964807 | -7.37602509648069 |
17 | 55 | 58.3975828708504 | -3.39758287085043 |
18 | 58 | 54.519046300494 | 3.480953699506 |
19 | 64 | 56.2217903681572 | 7.77820963184282 |
20 | 68 | 61.5441383229956 | 6.4558616770044 |
21 | 66 | 65.9623695520331 | 0.0376304479668903 |
22 | 76 | 65.2506746481765 | 10.7493253518235 |
23 | 75 | 73.3567768826124 | 1.64322311738765 |
24 | 88 | 74.2222817631583 | 13.7777182368417 |
25 | 85 | 85.1147531257755 | -0.114753125775479 |
26 | 83 | 84.8986821226593 | -1.89868212265927 |
27 | 77 | 83.2115216329525 | -6.21152163295253 |
28 | 66 | 77.9294255751957 | -11.9294255751957 |
29 | 65 | 67.7936690854322 | -2.79366908543224 |
30 | 65 | 64.8949536620293 | 0.105046337970705 |
31 | 63 | 64.3159985040094 | -1.31599850400944 |
32 | 62 | 62.56985613114 | -0.569856131140043 |
33 | 57 | 61.4066857516599 | -4.40668575165992 |
34 | 68 | 57.0718777868431 | 10.9281222131569 |
35 | 69 | 65.2548808948911 | 3.74511910510886 |
36 | 79 | 67.7844461434489 | 11.2155538565511 |
37 | 74 | 76.5517511184612 | -2.5517511184612 |
38 | 76 | 74.2528234744757 | 1.74717652552428 |
39 | 82 | 75.4319178313512 | 6.56808216864884 |
40 | 75 | 80.6205519254615 | -5.62055192546151 |
41 | 75 | 75.9322416983573 | -0.932241698357316 |
42 | 76 | 74.969736428521 | 1.03026357147898 |
43 | 78 | 75.6004978085543 | 2.39950219144571 |
44 | 77 | 77.3827077784677 | -0.38270777846769 |
45 | 67 | 76.9317136802845 | -9.93171368028455 |
46 | 74 | 68.6117662803305 | 5.38823371966953 |
47 | 68 | 72.6664706749626 | -4.66647067496264 |
48 | 87 | 68.5727310225099 | 18.4272689774901 |
49 | 76 | 83.3771021450328 | -7.37710214503282 |
50 | 88 | 77.3783057154604 | 10.6216942845396 |
51 | 95 | 86.0196860619061 | 8.98031393809386 |
52 | 96 | 93.5617333369109 | 2.4382666630891 |
53 | 96 | 95.9317625426605 | 0.0682374573395066 |
54 | 105 | 96.4087764815708 | 8.59122351842925 |
55 | 108 | 103.902764270062 | 4.09723572993789 |
56 | 113 | 107.901292323488 | 5.09870767651155 |
57 | 101 | 112.821234952553 | -11.8212349525532 |
58 | 107 | 103.935024932829 | 3.0649750671713 |
59 | 102 | 107.021676780885 | -5.02167678088469 |
60 | 116 | 103.524754119427 | 12.4752458805734 |
61 | 105 | 114.310727672766 | -9.31072767276633 |
62 | 121 | 107.460071764218 | 13.5399282357819 |
63 | 134 | 119.197386282031 | 14.8026137179686 |
64 | 140 | 132.294887769399 | 7.70511223060072 |
65 | 131 | 139.901143046328 | -8.90114304632846 |
66 | 141 | 134.02120928594 | 6.97879071406018 |
67 | 131 | 141.001279392085 | -10.0012793920845 |
68 | 128 | 134.170257912343 | -6.1702579123428 |
69 | 123 | 130.255587531918 | -7.25558753191788 |
70 | 129 | 125.301353759177 | 3.69864624082298 |
71 | 125 | 129.191724889009 | -4.19172488900864 |
72 | 144 | 126.675098370401 | 17.3249016295993 |
73 | 135 | 141.769694829919 | -6.76969482991862 |
74 | 141 | 137.442333752816 | 3.55766624718447 |
75 | 156 | 141.455106534834 | 14.5448934651658 |
76 | 159 | 154.595884718769 | 4.4041152812309 |
77 | 146 | 159.73435734762 | -13.7343573476201 |
78 | 154 | 150.04723299028 | 3.95276700972005 |
79 | 145 | 154.593096138017 | -9.5930961380171 |
80 | 133 | 148.082890371777 | -15.0828903717765 |
81 | 126 | 136.826649936684 | -10.8266499366842 |
82 | 127 | 128.716342983733 | -1.71634298373343 |
83 | 122 | 127.84826195939 | -5.84826195939013 |
84 | 148 | 123.538483822887 | 24.4615161771133 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 144.038406306853 | 128.623463301162 | 159.453349312544 |
86 | 144.98347328939 | 125.018233271885 | 164.948713306895 |
87 | 145.928540271928 | 122.074728544236 | 169.782351999619 |
88 | 146.873607254465 | 119.504502106086 | 174.242712402844 |
89 | 147.818674237003 | 117.174450787734 | 178.462897686272 |
90 | 148.76374121954 | 115.010626543989 | 182.516855895091 |
91 | 149.708808202077 | 112.967173114577 | 186.450443289578 |
92 | 150.653875184615 | 111.013487946108 | 190.294262423122 |
93 | 151.598942167152 | 109.128042969563 | 194.069841364741 |
94 | 152.54400914969 | 107.295080351259 | 197.792937948121 |
95 | 153.489076132227 | 105.502702957299 | 201.475449307155 |
96 | 154.434143114765 | 103.74170273467 | 205.126583494859 |