Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.782582633269772 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 8915 | 9911 | -996 |
3 | 9452 | 9131.54769726331 | 320.452302736692 |
4 | 9112 | 9382.32810417635 | -270.328104176351 |
5 | 8472 | 9170.7740245632 | -698.774024563198 |
6 | 8230 | 8623.92560836001 | -393.925608360014 |
7 | 8384 | 8315.64626845724 | 68.353731542762 |
8 | 8625 | 8369.13871168179 | 255.861288318212 |
9 | 8221 | 8569.37131244565 | -348.37131244565 |
10 | 8649 | 8296.74197339629 | 352.258026603713 |
11 | 8625 | 8572.41298744623 | 52.5870125537658 |
12 | 10443 | 8613.56667020635 | 1829.43332979365 |
13 | 10357 | 10045.2494228278 | 311.750577172248 |
14 | 8586 | 10289.2200104346 | -1703.22001043458 |
15 | 8892 | 8956.30960963092 | -64.3096096309182 |
16 | 8329 | 8905.9820259814 | -576.982025981402 |
17 | 8101 | 8454.44591273955 | -353.445912739549 |
18 | 7922 | 8177.8452796294 | -255.845279629395 |
19 | 8120 | 7977.62520698738 | 142.374793012618 |
20 | 7838 | 8089.04524741443 | -251.045247414435 |
21 | 7735 | 7892.58159662298 | -157.581596622985 |
22 | 8406 | 7769.26097578291 | 636.739024217086 |
23 | 8209 | 8267.56187806035 | -58.5618780603454 |
24 | 9451 | 8221.73236931866 | 1229.26763068134 |
25 | 10041 | 9183.73586873056 | 857.264131269445 |
26 | 9411 | 9854.61588998712 | -443.615889987121 |
27 | 10405 | 9507.44979864069 | 897.550201359314 |
28 | 8467 | 10209.8569987123 | -1742.85699871227 |
29 | 8464 | 8845.92737924737 | -381.92737924737 |
30 | 8102 | 8547.03764507814 | -445.03764507814 |
31 | 7627 | 8198.75891288871 | -571.758912888712 |
32 | 7513 | 7751.3103172448 | -238.310317244802 |
33 | 7510 | 7564.81280164001 | -54.8128016400105 |
34 | 8291 | 7521.91725499568 | 769.082745004323 |
35 | 8064 | 8123.7880547835 | -59.7880547835048 |
36 | 9383 | 8076.99896143295 | 1306.00103856705 |
37 | 9706 | 9099.05269324781 | 606.94730675219 |
38 | 8579 | 9574.03911482194 | -995.039114821935 |
39 | 9474 | 8795.33878413816 | 678.661215861837 |
40 | 8318 | 9326.44726554538 | -1008.44726554538 |
41 | 8213 | 8537.25394896118 | -324.253948961177 |
42 | 8059 | 8283.49843973502 | -224.498439735016 |
43 | 9111 | 8107.80985960223 | 1003.19014039777 |
44 | 7708 | 8892.88904134499 | -1184.88904134499 |
45 | 7680 | 7965.61545523673 | -285.615455236732 |
46 | 8014 | 7742.09776017503 | 271.902239824974 |
47 | 8007 | 7954.8837310092 | 52.1162689907969 |
48 | 8718 | 7995.66901803222 | 722.330981967783 |
49 | 9486 | 8560.9526999929 | 925.047300007096 |
50 | 9113 | 9284.87865193155 | -171.878651931549 |
51 | 9025 | 9150.3694039001 | -125.369403900098 |
52 | 8476 | 9052.2574856645 | -576.257485664497 |
53 | 7952 | 8601.28838509176 | -649.288385091757 |
54 | 7759 | 8093.16657093517 | -334.166570935172 |
55 | 7835 | 7831.653615902 | 3.34638409800482 |
56 | 7600 | 7834.27243798134 | -234.272437981344 |
57 | 7651 | 7650.93489656337 | 0.0651034366255772 |
58 | 8319 | 7650.98584538224 | 668.014154617757 |
59 | 8812 | 8173.76212156449 | 638.237878435512 |
60 | 8630 | 8673.23600112306 | -43.236001123063 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
61 | 8639.40025751212 | 7288.58663839862 | 9990.21387662562 |
62 | 8639.40025751212 | 6924.11396630503 | 10354.6865487192 |
63 | 8639.40025751212 | 6624.52639346419 | 10654.2741215601 |
64 | 8639.40025751212 | 6364.04834731364 | 10914.7521677106 |
65 | 8639.40025751212 | 6130.46902241134 | 11148.3314926129 |
66 | 8639.40025751212 | 5916.85630567502 | 11361.9442093492 |
67 | 8639.40025751212 | 5718.82579400237 | 11559.9747210219 |
68 | 8639.40025751212 | 5533.39561744384 | 11745.4048975804 |
69 | 8639.40025751212 | 5358.42868626281 | 11920.3718287614 |
70 | 8639.40025751212 | 5192.33134631138 | 12086.4691687129 |
71 | 8639.40025751212 | 5033.87759002172 | 12244.9229250025 |
72 | 8639.40025751212 | 4882.10025178892 | 12396.7002632353 |