Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.338261263337884 |
beta | 0.0217207423401571 |
gamma | 0.512815635756671 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 31 | 24.8547008547009 | 6.14529914529914 |
14 | 51 | 47.5251888226057 | 3.47481117739432 |
15 | 39 | 36.5678845873873 | 2.43211541261269 |
16 | 32 | 30.5257462123972 | 1.4742537876028 |
17 | 30 | 28.8787654511993 | 1.1212345488007 |
18 | 46 | 45.7039433202517 | 0.296056679748261 |
19 | 31 | 44.9188373605294 | -13.9188373605294 |
20 | 31 | 24.6397843758746 | 6.3602156241254 |
21 | 40 | 33.8920797946928 | 6.10792020530715 |
22 | 29 | 33.603910081461 | -4.60391008146099 |
23 | 43 | 31.0751835465216 | 11.9248164534784 |
24 | 17 | 37.475099964593 | -20.475099964593 |
25 | 53 | 37.5170170660359 | 15.4829829339641 |
26 | 47 | 62.510948181681 | -15.510948181681 |
27 | 49 | 44.7092608707161 | 4.29073912928389 |
28 | 44 | 38.9160310750852 | 5.08396892491477 |
29 | 48 | 38.3420601441698 | 9.65793985583022 |
30 | 51 | 57.8093523585176 | -6.80935235851756 |
31 | 47 | 49.7792341201557 | -2.77923412015568 |
32 | 44 | 40.2141155286684 | 3.78588447133161 |
33 | 33 | 48.5552257367027 | -15.5552257367027 |
34 | 47 | 37.190256029551 | 9.80974397044902 |
35 | 41 | 45.1380968447714 | -4.13809684477138 |
36 | 36 | 34.983586060501 | 1.01641393949897 |
37 | 46 | 54.5294733247728 | -8.52947332477283 |
38 | 24 | 60.7385537810068 | -36.7385537810068 |
39 | 17 | 42.1755492661426 | -25.1755492661426 |
40 | 22 | 26.1671582695281 | -4.16715826952811 |
41 | 30 | 23.4310558235093 | 6.56894417649072 |
42 | 24 | 35.6575791429703 | -11.6575791429703 |
43 | 18 | 26.7117866076621 | -8.71178660766206 |
44 | 24 | 16.6808724749048 | 7.31912752509521 |
45 | 24 | 18.9927808558352 | 5.00721914416482 |
46 | 28 | 22.681013723736 | 5.31898627626398 |
47 | 19 | 23.8337331717423 | -4.83373317174234 |
48 | 22 | 14.645114989875 | 7.35488501012498 |
49 | 26 | 32.5942518187849 | -6.59425181878491 |
50 | 14 | 29.3979976370585 | -15.3979976370585 |
51 | 16 | 21.6471825377153 | -5.64718253771533 |
52 | 21 | 19.1867595941572 | 1.81324040584278 |
53 | 15 | 21.9739112886457 | -6.9739112886457 |
54 | 23 | 23.1917586976378 | -0.191758697637834 |
55 | 29 | 18.9658239890316 | 10.0341760109684 |
56 | 17 | 20.6955253496344 | -3.69552534963439 |
57 | 24 | 18.3956217402882 | 5.60437825971176 |
58 | 18 | 22.2946005191612 | -4.29460051916123 |
59 | 22 | 16.5824090805298 | 5.41759091947023 |
60 | 8 | 14.9052615475889 | -6.90526154758891 |
61 | 26 | 23.0999682224242 | 2.90003177757583 |
62 | 22 | 20.0003329449011 | 1.99966705509891 |
63 | 34 | 21.4438597459613 | 12.5561402540387 |
64 | 25 | 27.8068021319259 | -2.80680213192594 |
65 | 20 | 26.1495000119062 | -6.14950001190617 |
66 | 35 | 30.0540415740274 | 4.94595842597261 |
67 | 38 | 31.1802209408097 | 6.81977905919028 |
68 | 24 | 27.2838782211329 | -3.28387822113285 |
69 | 14 | 28.402601049555 | -14.402601049555 |
70 | 25 | 22.1512387172189 | 2.8487612827811 |
71 | 31 | 22.1801492155776 | 8.81985078442239 |
72 | 17 | 17.5260396183558 | -0.52603961835576 |
73 | 32 | 31.3068307757095 | 0.6931692242905 |
74 | 27 | 27.2397609993172 | -0.239760999317181 |
75 | 30 | 31.5762615519022 | -1.57626155190216 |
76 | 19 | 27.9096576433508 | -8.90965764335076 |
77 | 36 | 22.9731239029994 | 13.0268760970006 |
78 | 27 | 37.189900910694 | -10.189900910694 |
79 | 28 | 33.7812456086581 | -5.7812456086581 |
80 | 38 | 22.0503644867117 | 15.9496355132883 |
81 | 26 | 25.8997917476183 | 0.100208252381741 |
82 | 25 | 30.5128636490419 | -5.51286364904187 |
83 | 30 | 29.7826604667178 | 0.217339533282161 |
84 | 27 | 19.0269328842885 | 7.97306711571149 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 36.1386324489606 | 17.6268928651803 | 54.6503720327409 |
86 | 31.5576589592964 | 11.9715275122935 | 51.1437904062993 |
87 | 35.5606399678123 | 14.9134262628849 | 56.2078536727398 |
88 | 29.9891377977104 | 8.29134605345917 | 51.6869295419616 |
89 | 35.62652126087 | 12.8863862246542 | 58.3666562970859 |
90 | 37.5784489842917 | 13.8023442476355 | 61.3545537209478 |
91 | 39.2078384846231 | 14.4005933829914 | 64.0150835862547 |
92 | 36.9444981451128 | 11.1096476767342 | 62.7793486134913 |
93 | 30.0406877991915 | 3.18067249711485 | 56.9007031012681 |
94 | 32.7347400174147 | 4.85106777985671 | 60.6184122549727 |
95 | 35.8740465990773 | 6.96742516036563 | 64.780668037789 |
96 | 27.7352878036709 | -2.19426576269989 | 57.6648413700416 |