Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.637629335872465 |
beta | 0 |
gamma | 0.23707902612391 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 14097.8 | 13304.300267094 | 793.499732905984 |
14 | 14776.8 | 14491.4978151282 | 285.302184871824 |
15 | 16833.3 | 16720.157864784 | 113.142135216032 |
16 | 15385.5 | 15404.8602829806 | -19.3602829806332 |
17 | 15172.6 | 15182.5211055944 | -9.92110559439425 |
18 | 16858.9 | 16751.3006246161 | 107.59937538387 |
19 | 14143.5 | 14575.5021498754 | -432.002149875447 |
20 | 14731.8 | 14127.3129129479 | 604.487087052104 |
21 | 16471.6 | 16729.0154531348 | -257.415453134752 |
22 | 15214 | 16520.3894823688 | -1306.3894823688 |
23 | 17637.4 | 15491.8110646615 | 2145.58893533845 |
24 | 17972.4 | 17025.8945195497 | 946.505480450276 |
25 | 16896.2 | 16806.3563003332 | 89.8436996667951 |
26 | 16698 | 17501.2226218164 | -803.222621816356 |
27 | 19691.6 | 19021.0169686861 | 670.583031313876 |
28 | 15930.7 | 18049.7767083519 | -2119.07670835185 |
29 | 17444.6 | 16489.4076654349 | 955.192334565138 |
30 | 17699.4 | 18683.6680677652 | -984.268067765166 |
31 | 15189.8 | 15765.305452107 | -575.505452106985 |
32 | 15672.7 | 15314.6595920399 | 358.040407960134 |
33 | 17180.8 | 17685.1740353942 | -504.374035394158 |
34 | 17664.9 | 17228.9621611248 | 435.937838875234 |
35 | 17862.9 | 17607.9038932658 | 254.996106734179 |
36 | 16162.3 | 17833.4760583034 | -1671.17605830343 |
37 | 17463.6 | 15871.2310696682 | 1592.36893033176 |
38 | 16772.1 | 17447.4277960577 | -675.327796057711 |
39 | 19106.9 | 19175.3869929368 | -68.4869929368288 |
40 | 16721.3 | 17493.2329850356 | -771.932985035623 |
41 | 18161.3 | 17055.9542416174 | 1105.34575838264 |
42 | 18509.9 | 19179.3368897068 | -669.43688970682 |
43 | 17802.7 | 16496.8368632384 | 1305.86313676159 |
44 | 16409.9 | 17326.0081838349 | -916.108183834887 |
45 | 17967.7 | 18809.9976644359 | -842.297664435948 |
46 | 20286.6 | 18219.0984193729 | 2067.50158062709 |
47 | 19537.3 | 19622.8282647901 | -85.5282647901186 |
48 | 18021.9 | 19465.793717715 | -1443.893717715 |
49 | 20194.3 | 17928.8433469747 | 2265.45665302533 |
50 | 19049.6 | 19739.4016273059 | -689.801627305947 |
51 | 20244.7 | 21510.2658719751 | -1265.56587197513 |
52 | 21473.3 | 19004.3858676931 | 2468.91413230687 |
53 | 19673.6 | 20794.8442450965 | -1121.24424509652 |
54 | 21053.2 | 21346.0153514538 | -292.815351453824 |
55 | 20159.5 | 19073.3592479069 | 1086.14075209313 |
56 | 18203.6 | 19571.5384983772 | -1367.93849837718 |
57 | 21289.5 | 20773.7688130463 | 515.73118695369 |
58 | 20432.3 | 21298.7708645051 | -866.4708645051 |
59 | 17180.4 | 20646.7459718613 | -3466.34597186133 |
60 | 15816.8 | 18217.3050418109 | -2400.50504181088 |
61 | 15076.6 | 16389.0633140212 | -1312.46331402122 |
62 | 14531.6 | 15664.3471923164 | -1132.7471923164 |
63 | 15761.3 | 17103.3121655261 | -1342.01216552612 |
64 | 14345.5 | 14869.5187470633 | -524.018747063312 |
65 | 13916.8 | 14443.1630759151 | -526.363075915069 |
66 | 15496.8 | 15444.818594435 | 51.981405565024 |
67 | 14285.6 | 13510.4818045504 | 775.118195449571 |
68 | 13597.3 | 13599.5128122432 | -2.21281224317499 |
69 | 16263.1 | 15834.3968637861 | 428.703136213864 |
70 | 16773.3 | 16185.1616296193 | 588.138370380704 |
71 | 15986.9 | 16237.2817281744 | -250.381728174409 |
72 | 16842.6 | 15950.0008533402 | 892.59914665979 |
73 | 15911.9 | 16315.0131538107 | -403.113153810738 |
74 | 15782.9 | 16185.5648698612 | -402.66486986117 |
75 | 18622.8 | 18072.0736943067 | 550.726305693261 |
76 | 17422.5 | 17115.4200608372 | 307.079939162802 |
77 | 16989.8 | 17218.7958906051 | -228.995890605132 |
78 | 18990.5 | 18459.7473044123 | 530.752695587689 |
79 | 16849.3 | 16892.8141659434 | -43.5141659433793 |
80 | 16511.3 | 16393.0802815039 | 118.219718496104 |
81 | 18704.5 | 18741.7758453983 | -37.2758453982897 |
82 | 19111.1 | 18809.115900813 | 301.984099187033 |
83 | 19420.7 | 18606.7379738357 | 813.962026164267 |
84 | 18985.1 | 19096.3079405485 | -111.207940548546 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 18709.9481236094 | 16632.1686384558 | 20787.727608763 |
86 | 18837.5751244968 | 16373.3504053426 | 21301.7998436509 |
87 | 21062.7411799647 | 18264.9493106407 | 23860.5330492886 |
88 | 19733.9965206391 | 16638.3745764055 | 22829.6184648726 |
89 | 19595.5146386639 | 16228.3034633461 | 22962.7258139817 |
90 | 21047.7509189852 | 17429.2779017097 | 24666.2239362606 |
91 | 19093.0587476123 | 15239.672852803 | 22946.4446424216 |
92 | 18634.9654082195 | 14560.1870422369 | 22709.7437742022 |
93 | 20894.9219123453 | 16610.1751742702 | 25179.6686504204 |
94 | 21015.1761263965 | 16530.2803096566 | 25500.0719431363 |
95 | 20664.2285503899 | 15987.7420097725 | 25340.7150910072 |
96 | 20555.3106511754 | 15694.7795853205 | 25415.8417170303 |