Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.246690113402272 |
beta | 0.0345331971607616 |
gamma | 0.853252708606075 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 85.3 | 81.6231400418526 | 3.67685995814739 |
14 | 79.4 | 77.1785710477302 | 2.22142895226980 |
15 | 131 | 128.445402914129 | 2.55459708587060 |
16 | 91.4 | 90.1895797124119 | 1.21042028758814 |
17 | 88.2 | 87.2656512809064 | 0.934348719093578 |
18 | 113.2 | 112.415499185951 | 0.784500814048712 |
19 | 81.9 | 88.2360701997203 | -6.3360701997203 |
20 | 89 | 89.9336033969772 | -0.93360339697719 |
21 | 95.7 | 91.4617599959235 | 4.23824000407647 |
22 | 93.2 | 92.4150531873506 | 0.784946812649366 |
23 | 98 | 90.344885342564 | 7.65511465743604 |
24 | 140.5 | 150.981461409249 | -10.4814614092488 |
25 | 93 | 93.4541160966085 | -0.454116096608516 |
26 | 82.1 | 86.4078620284123 | -4.30786202841229 |
27 | 86.3 | 140.160185743814 | -53.8601857438139 |
28 | 84.8 | 87.9587463038027 | -3.1587463038027 |
29 | 85.7 | 83.5875034479842 | 2.11249655201576 |
30 | 110.8 | 107.384340373894 | 3.41565962610629 |
31 | 87.4 | 80.160875735995 | 7.23912426400507 |
32 | 100.4 | 88.405457789373 | 11.9945422106271 |
33 | 100.4 | 96.4100807687469 | 3.98991923125315 |
34 | 99.4 | 94.8961414054013 | 4.50385859459875 |
35 | 108 | 98.0143128973651 | 9.98568710263487 |
36 | 161.7 | 148.916724557558 | 12.7832754424425 |
37 | 109.3 | 100.021646058106 | 9.27835394189353 |
38 | 99.9 | 91.9962431539862 | 7.9037568460138 |
39 | 110.3 | 116.142568305204 | -5.84256830520438 |
40 | 97.5 | 107.273099402642 | -9.77309940264182 |
41 | 102.4 | 105.009987240767 | -2.60998724076696 |
42 | 122.3 | 134.260094240738 | -11.9600942407381 |
43 | 104.4 | 100.998357440243 | 3.40164255975670 |
44 | 122.7 | 112.973639941045 | 9.7263600589545 |
45 | 127.3 | 115.424055154325 | 11.8759448456752 |
46 | 128.4 | 115.988053891539 | 12.4119461084614 |
47 | 125.3 | 125.821040363661 | -0.521040363661271 |
48 | 187.1 | 184.866664800708 | 2.2333351992919 |
49 | 131.4 | 122.584676903301 | 8.81532309669932 |
50 | 125.6 | 111.840432253498 | 13.7595677465016 |
51 | 142.9 | 130.876207542756 | 12.0237924572444 |
52 | 116.6 | 121.904635867697 | -5.30463586769743 |
53 | 129.7 | 126.691776520755 | 3.00822347924517 |
54 | 155.4 | 157.269692224559 | -1.86969222455920 |
55 | 138.7 | 131.271785368478 | 7.42821463152194 |
56 | 167.7 | 152.876807549844 | 14.8231924501557 |
57 | 155.8 | 158.632476671689 | -2.83247667168857 |
58 | 157.1 | 155.499724811334 | 1.60027518866619 |
59 | 159.9 | 154.252275382001 | 5.6477246179989 |
60 | 244.6 | 231.737175848192 | 12.8628241518083 |
61 | 154.3 | 161.44561212402 | -7.14561212402018 |
62 | 143.2 | 147.629675817796 | -4.42967581779587 |
63 | 147.3 | 163.542011807314 | -16.2420118073143 |
64 | 155.1 | 133.372119040691 | 21.7278809593095 |
65 | 152.2 | 152.322602343346 | -0.122602343345761 |
66 | 166.5 | 183.765220364102 | -17.2652203641022 |
67 | 161.2 | 156.821930669021 | 4.37806933097886 |
68 | 180.1 | 185.651291455172 | -5.55129145517157 |
69 | 169.2 | 173.796727071584 | -4.59672707158441 |
70 | 164.5 | 172.901609962885 | -8.40160996288535 |
71 | 166.2 | 171.560705224965 | -5.36070522496462 |
72 | 267.3 | 255.888240736133 | 11.4117592638675 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | 166.475390173274 | 147.757267638598 | 185.193512707950 |
74 | 155.121582977313 | 135.755966874575 | 174.487199080051 |
75 | 164.751956344182 | 144.462586520229 | 185.041326168136 |
76 | 162.076288326031 | 141.095829861594 | 183.056746790468 |
77 | 161.298247363775 | 139.575673267784 | 183.020821459766 |
78 | 182.366241027696 | 158.923520360589 | 205.808961694803 |
79 | 172.643077140927 | 148.918033160368 | 196.368121121486 |
80 | 195.307417356729 | 169.395943421752 | 221.218891291705 |
81 | 184.411287061899 | 158.430042640031 | 210.392531483768 |
82 | 181.772756403171 | 155.173233321444 | 208.372279484898 |
83 | 184.58422612996 | 156.94118569666 | 212.227266563260 |
84 | 291.100628146095 | 250.789083433606 | 331.412172858583 |