Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 1 |
beta | 0 |
gamma | 0 |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
13 | 76.7 | 67.4244329933489 | 9.27556700665107 |
14 | 74.2 | 74.0303207313496 | 0.169679268650412 |
15 | 75.8 | 76.3746592967267 | -0.574659296726693 |
16 | 84.3 | 85.4884504333415 | -1.18845043334146 |
17 | 84.9 | 85.9149012537773 | -1.01490125377725 |
18 | 84.4 | 85.1149588053522 | -0.714958805352239 |
19 | 89.4 | 83.8801735664216 | 5.51982643357836 |
20 | 88.5 | 95.9781393574596 | -7.4781393574596 |
21 | 76.5 | 87.6603721414208 | -11.1603721414208 |
22 | 71.4 | 71.8404575428382 | -0.440457542838189 |
23 | 72.1 | 66.7421006782361 | 5.35789932176391 |
24 | 75.8 | 73.4703300980121 | 2.32966990198791 |
25 | 66.6 | 82.9097015791909 | -16.3097015791909 |
26 | 71.7 | 64.4199842335117 | 7.28001576648829 |
27 | 75.4 | 73.837256573151 | 1.562743426849 |
28 | 80.9 | 85.043571984853 | -4.14357198485304 |
29 | 80.7 | 82.4977621702391 | -1.79776217023908 |
30 | 85 | 80.9625250386354 | 4.03747496136458 |
31 | 91.5 | 84.4682803260582 | 7.03171967394178 |
32 | 87.7 | 98.203949052621 | -10.503949052621 |
33 | 95.3 | 86.8787566021214 | 8.42124339787864 |
34 | 102.4 | 89.2240127758225 | 13.1759872241775 |
35 | 114.2 | 95.2784561896311 | 18.9215438103689 |
36 | 111.7 | 115.774103502643 | -4.07410350264279 |
37 | 113.7 | 121.654897895226 | -7.95489789522566 |
38 | 118.8 | 109.236503941251 | 9.56349605874932 |
39 | 129 | 121.641923885317 | 7.3580761146833 |
40 | 136.4 | 144.657284082302 | -8.25728408230222 |
41 | 155 | 138.277532504465 | 16.7224674955348 |
42 | 166 | 154.421055721269 | 11.5789442787312 |
43 | 168.7 | 163.862692876996 | 4.83730712300445 |
44 | 145.5 | 180.028953084268 | -34.528953084268 |
45 | 127.3 | 143.350479316507 | -16.0504793165074 |
46 | 91.5 | 118.813042959626 | -27.3130429596257 |
47 | 69 | 85.2447053807858 | -16.2447053807858 |
48 | 54 | 70.3553254055096 | -16.3553254055096 |
49 | 56.3 | 59.381977910958 | -3.08197791095803 |
50 | 54.2 | 54.6193440426474 | -0.419344042647353 |
51 | 59.3 | 56.0754375081213 | 3.22456249187871 |
52 | 63.4 | 67.1372144331938 | -3.73721443319383 |
53 | 73.3 | 64.9095462990867 | 8.39045370091328 |
54 | 86.7 | 73.6463322115629 | 13.0536677884371 |
55 | 81.3 | 86.1345828116952 | -4.83458281169517 |
56 | 89.6 | 87.3928733904086 | 2.20712660959144 |
57 | 85.3 | 88.7350935079576 | -3.43509350795756 |
58 | 92.4 | 79.9774408433841 | 12.4225591566159 |
59 | 96.8 | 86.0731802182134 | 10.7268197817866 |
60 | 93.6 | 98.2898836156933 | -4.68988361569328 |
61 | 97.6 | 102.120411730317 | -4.52041173031675 |
62 | 94.2 | 93.917056652618 | 0.282943347381959 |
63 | 99.9 | 96.6738810853321 | 3.22611891466792 |
64 | 106.4 | 112.292376954769 | -5.89237695476918 |
65 | 96 | 108.126305296775 | -12.1263052967754 |
66 | 94.9 | 96.089248045961 | -1.18924804596098 |
67 | 94.8 | 94.1720418600617 | 0.627958139938329 |
68 | 95.9 | 101.70165000216 | -5.8016500021603 |
69 | 96.2 | 94.8903158799408 | 1.30968412005917 |
70 | 103.1 | 90.056204249742 | 13.043795750258 |
71 | 106.9 | 95.9228255076303 | 10.9771744923697 |
72 | 114.2 | 108.438769871911 | 5.76123012808891 |
73 | 118.2 | 124.353031343417 | -6.1530313434175 |
74 | 123.9 | 113.518337034347 | 10.3816629656533 |
75 | 137.1 | 126.818225441411 | 10.2817745585889 |
76 | 146.2 | 153.666072664193 | -7.46607266419286 |
77 | 136.4 | 148.12693339231 | -11.7269333923105 |
78 | 133.2 | 136.031706182951 | -2.83170618295142 |
79 | 135.9 | 131.71285668353 | 4.18714331647047 |
80 | 127.1 | 145.263925464605 | -18.1639254646045 |
81 | 128.5 | 125.37332191262 | 3.12667808738018 |
82 | 126.6 | 119.922631591518 | 6.67736840848168 |
83 | 132.6 | 117.555224040462 | 15.0447759595379 |
84 | 130.9 | 134.26316361298 | -3.36316361298014 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 142.376562777339 | 122.665460481867 | 162.087665072811 |
86 | 136.522782940419 | 109.314411043271 | 163.731154837567 |
87 | 139.629858966261 | 105.701404641838 | 173.558313290683 |
88 | 156.479771993704 | 113.906717476784 | 199.052826510625 |
89 | 158.458524759824 | 111.348955507675 | 205.568094011974 |
90 | 157.840411672631 | 107.265170559987 | 208.415652785275 |
91 | 155.864844458367 | 102.517083146931 | 209.212605769802 |
92 | 166.424851349281 | 106.543902551288 | 226.305800147275 |
93 | 163.794465531669 | 102.058373655278 | 225.530557408061 |
94 | 152.557913027073 | 92.1659187301556 | 212.949907323991 |
95 | 141.450199346089 | 82.4666989369978 | 200.433699755181 |
96 | 143.156199900932 | 81.7760583783363 | 204.536341423528 |