Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.416602346657151 |
beta | 0.204423070254419 |
gamma | 0.904356657313918 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
5 | 2225.5 | 2049.436875 | 176.063125000001 |
6 | 2195.7 | 2091.7630229745 | 103.9369770255 |
7 | 2713.1 | 2544.04284681466 | 169.057153185337 |
8 | 2412 | 2506.93682530356 | -94.9368253035641 |
9 | 2568.3 | 2809.88100139577 | -241.581001395773 |
10 | 2623.7 | 2634.75202604016 | -11.0520260401645 |
11 | 3185.5 | 3058.28183673166 | 127.218163268336 |
12 | 2722.6 | 2845.69664939941 | -123.096649399413 |
13 | 3046.3 | 3038.3759566018 | 7.92404339820041 |
14 | 2854.2 | 3088.90296468267 | -234.702964682674 |
15 | 3337.6 | 3473.24835748439 | -135.648357484393 |
16 | 2920.3 | 2977.73764002025 | -57.4376400202545 |
17 | 3058.3 | 3231.14009239935 | -172.840092399349 |
18 | 2933.7 | 3027.19898590563 | -93.4989859056263 |
19 | 3773.4 | 3483.50537615679 | 289.894623843208 |
20 | 3193.5 | 3203.65529754302 | -10.1552975430154 |
21 | 3472.2 | 3417.01060969016 | 55.1893903098357 |
22 | 3345.5 | 3370.48836474443 | -24.9883647444349 |
23 | 4028.4 | 4084.0102278754 | -55.6102278753956 |
24 | 3463.1 | 3498.88702910259 | -35.7870291025852 |
25 | 3675.4 | 3730.82826708882 | -55.4282670888206 |
26 | 3500.8 | 3581.28849018675 | -80.4884901867472 |
27 | 4142.1 | 4236.17401643599 | -94.0740164359868 |
28 | 3598 | 3622.85095409337 | -24.8509540933733 |
29 | 3765.3 | 3827.28235884308 | -61.9823588430827 |
30 | 3557.7 | 3639.5290830988 | -81.8290830987999 |
31 | 4303.6 | 4264.31294218112 | 39.2870578188795 |
32 | 3620.1 | 3732.05246413435 | -111.952464134352 |
33 | 3691.1 | 3862.17081676635 | -171.07081676635 |
34 | 3678.1 | 3590.77374989143 | 87.3262501085674 |
35 | 4505.8 | 4336.60857640127 | 169.191423598733 |
36 | 3695 | 3776.41535751152 | -81.4153575115206 |
37 | 3894.1 | 3888.40805919222 | 5.69194080778107 |
38 | 3718.9 | 3842.3779535115 | -123.477953511496 |
39 | 4749.8 | 4541.02754192979 | 208.772458070211 |
40 | 3855.9 | 3865.91895333346 | -10.018953333461 |
41 | 4011.7 | 4060.50878119021 | -48.8087811902105 |
42 | 3907.6 | 3925.87756149733 | -18.2775614973339 |
43 | 4812.5 | 4854.86223602885 | -42.3622360288527 |
44 | 4071.3 | 3949.52186492398 | 121.778135076016 |
45 | 4163.4 | 4179.60319692914 | -16.2031969291384 |
46 | 4077.6 | 4078.49061523245 | -0.890615232451637 |
47 | 5109.2 | 5007.31921293022 | 101.880787069783 |
48 | 4207.6 | 4266.26294141764 | -58.6629414176441 |
49 | 4320.8 | 4350.59801309919 | -29.7980130991882 |
50 | 4396.9 | 4252.96773769487 | 143.932262305133 |
51 | 5358.8 | 5309.75262883548 | 49.04737116452 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
52 | 4470.88417102725 | 4246.5405498924 | 4695.22779216211 |
53 | 4608.78454268109 | 4357.78336959605 | 4859.78571576612 |
54 | 4631.66295463586 | 4348.22063361133 | 4915.10527566038 |
55 | 5582.60112920005 | 5261.54972319536 | 5903.65253520473 |
56 | 4697.42205043072 | 4265.95776462926 | 5128.88633623218 |
57 | 4835.32242208455 | 4364.28201235532 | 5306.36283181378 |
58 | 4858.20083403933 | 4343.24123221857 | 5373.16043586008 |
59 | 5809.13900860351 | 5246.28515081158 | 6371.99286639544 |
60 | 4923.95992983419 | 4253.29591853782 | 5594.62394113056 |
61 | 5061.86030148802 | 4340.58713538353 | 5783.13346759251 |
62 | 5084.73871344279 | 4309.37642083842 | 5860.10100604717 |
63 | 6035.67688800698 | 5202.9852322426 | 6868.36854377136 |