Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.228662049546275 |
beta | 0.914718927347398 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 4465 | 4456 | 9 |
4 | 4528 | 4535.94041198809 | -7.940411988091 |
5 | 4557.5 | 4610.34636613157 | -52.8463661315709 |
6 | 4557.5 | 4663.4306073065 | -105.930607306503 |
7 | 4588.5 | 4682.21989187923 | -93.7198918792337 |
8 | 4627.5 | 4684.19871006352 | -56.6987100635188 |
9 | 4711 | 4682.78368004777 | 28.216319952232 |
10 | 4776.5 | 4706.68726277061 | 69.8127372293866 |
11 | 4781.5 | 4754.70450468698 | 26.7954953130156 |
12 | 4603 | 4798.48992201941 | -195.489922019408 |
13 | 4770.5 | 4750.55813399982 | 19.9418660001829 |
14 | 4792 | 4756.05849086505 | 35.941509134951 |
15 | 4803.5 | 4772.73493905284 | 30.7650609471611 |
16 | 4747.5 | 4794.6625964281 | -47.1625964281047 |
17 | 4838 | 4788.9065563178 | 49.0934436821999 |
18 | 4854 | 4815.42907817111 | 38.5709218288857 |
19 | 4902.5 | 4847.61305065791 | 54.8869493420898 |
20 | 4953.5 | 4895.00811634835 | 58.4918836516536 |
21 | 4969.5 | 4955.46174410299 | 14.0382558970141 |
22 | 4971 | 5008.68677695207 | -37.6867769520686 |
23 | 4998.5 | 5042.20163480297 | -43.7016348029701 |
24 | 5080 | 5065.20042323733 | 14.7995767626726 |
25 | 5111 | 5104.67172035362 | 6.32827964637909 |
26 | 5110.5 | 5143.5295858019 | -33.0295858018981 |
27 | 5096 | 5166.47928320553 | -70.4792832055255 |
28 | 4939.5 | 5166.12410312149 | -226.624103121491 |
29 | 5108 | 5082.66349008243 | 25.3365099175744 |
30 | 5137.5 | 5062.11612976366 | 75.38387023634 |
31 | 5185.5 | 5068.78010515745 | 116.719894842546 |
32 | 5103 | 5109.30936948986 | -6.30936948985982 |
33 | 5168 | 5120.38683286973 | 47.6131671302719 |
34 | 5208 | 5153.75317566973 | 54.2468243302746 |
35 | 5250.5 | 5199.98273152242 | 50.5172684775789 |
36 | 5204.5 | 5255.92574737734 | -51.4257473773396 |
37 | 5293.5 | 5277.8019775889 | 15.6980224111048 |
38 | 5339.5 | 5318.31028856165 | 21.1897114383491 |
39 | 5484 | 5364.50641233115 | 119.493587668845 |
40 | 5533 | 5458.17436051501 | 74.8256394849859 |
41 | 5513 | 5557.2790874619 | -44.2790874618986 |
42 | 5595.5 | 5619.8876028748 | -24.3876028748027 |
43 | 5605 | 5681.94359820893 | -76.9435982089317 |
44 | 5919.5 | 5715.88839315668 | 203.611606843323 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
45 | 5856.57322636144 | 5704.17680993346 | 6008.96964278941 |
46 | 5950.69981223399 | 5784.33698025028 | 6117.0626442177 |
47 | 6044.82639810654 | 5851.44026161095 | 6238.21253460214 |
48 | 6138.9529839791 | 5905.66865983752 | 6372.23730812068 |
49 | 6233.07956985165 | 5948.86342577974 | 6517.29571392357 |
50 | 6327.20615572421 | 5982.96494646479 | 6671.44736498363 |
51 | 6421.33274159676 | 6009.4793124803 | 6833.18617071322 |
52 | 6515.45932746932 | 6029.48132621837 | 7001.43732872027 |
53 | 6609.58591334187 | 6043.73415500937 | 7175.43767167437 |
54 | 6703.71249921442 | 6052.79305598025 | 7354.6319424486 |
55 | 6797.83908508698 | 6057.07567103513 | 7538.60249913882 |
56 | 6891.96567095953 | 6056.90684378548 | 7727.02449813358 |
57 | 6986.09225683209 | 6052.54705723438 | 7919.63745642979 |
58 | 7080.21884270464 | 6044.21077780816 | 8116.22690760112 |
59 | 7174.34542857719 | 6032.07858246016 | 8316.61227469423 |
60 | 7268.47201444975 | 6016.3053954666 | 8520.6386334329 |
61 | 7362.5986003223 | 5997.02623578642 | 8728.17096485819 |
62 | 7456.72518619486 | 5974.3603318542 | 8939.09004053551 |