Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.222642629632828 |
beta | 0.178363459675705 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 93 | 93 | 0 |
4 | 91 | 92 | -1 |
5 | 111 | 90.7376460606746 | 20.2623539393254 |
6 | 110 | 95.0138431269703 | 14.9861568730297 |
7 | 95 | 98.7104537206517 | -3.71045372065174 |
8 | 85 | 98.0970547897341 | -13.0970547897341 |
9 | 86 | 94.8736971146655 | -8.87369711466548 |
10 | 86 | 92.2382527640152 | -6.23825276401523 |
11 | 87 | 89.9418414863921 | -2.94184148639215 |
12 | 89 | 88.2625275056377 | 0.737472494362294 |
13 | 93 | 87.4316716634167 | 5.56832833658333 |
14 | 96 | 87.897495880329 | 8.10250411967098 |
15 | 99 | 89.2492967079217 | 9.75070329207828 |
16 | 92 | 91.3552701315703 | 0.644729868429721 |
17 | 109 | 91.4594687542844 | 17.5405312457156 |
18 | 110 | 96.0219504938628 | 13.9780495061372 |
19 | 97 | 100.346358583759 | -3.34635858375943 |
20 | 88 | 100.680726617627 | -12.6807266176270 |
21 | 93 | 98.4332981446338 | -5.43329814463382 |
22 | 93 | 97.5836928196699 | -4.58369281966986 |
23 | 89 | 96.7412214133082 | -7.74122141330822 |
24 | 89 | 94.8883354967752 | -5.88833549677517 |
25 | 91 | 93.2141474586223 | -2.21414745862225 |
26 | 97 | 92.2700636116147 | 4.72993638838527 |
27 | 99 | 93.0598608214413 | 5.9401391785587 |
28 | 85 | 94.354991469398 | -9.35499146939802 |
29 | 101 | 91.873275045903 | 9.12672495409697 |
30 | 105 | 93.8688107681946 | 11.1311892318054 |
31 | 88 | 96.7526597911115 | -8.75265979111145 |
32 | 80 | 94.8619367967451 | -14.8619367967451 |
33 | 87 | 91.0208413299216 | -4.02084132992162 |
34 | 84 | 89.4337629906549 | -5.43376299065487 |
35 | 87 | 87.3163262124592 | -0.316326212459174 |
36 | 87 | 86.3256872873539 | 0.674312712646142 |
37 | 85 | 85.5823846585122 | -0.582384658512183 |
38 | 96 | 84.5361603647688 | 11.4638396352312 |
39 | 102 | 86.6271832109523 | 15.3728167890477 |
40 | 93 | 90.1989856981938 | 2.80101430180625 |
41 | 111 | 91.0830009668437 | 19.9169990331563 |
42 | 117 | 96.5686942015898 | 20.4313057984102 |
43 | 101 | 102.980247958975 | -1.98024795897503 |
44 | 88 | 104.323396213692 | -16.3233962136915 |
45 | 98 | 101.824924781487 | -3.82492478148735 |
46 | 89 | 101.957253122791 | -12.9572531227913 |
47 | 93 | 99.5417863759923 | -6.54178637599232 |
48 | 93 | 98.2948931113027 | -5.29489311130268 |
49 | 95 | 97.1153443018028 | -2.11534430180281 |
50 | 105 | 96.5596955076205 | 8.44030449237947 |
51 | 109 | 98.6893596640524 | 10.3106403359476 |
52 | 94 | 101.644889342503 | -7.6448893425027 |
53 | 113 | 100.299164108647 | 12.7008358913533 |
54 | 125 | 103.987631470080 | 21.0123685299201 |
55 | 106 | 110.361028988510 | -4.36102898850956 |
56 | 95 | 110.912044387976 | -15.9120443879758 |
57 | 109 | 108.259423221442 | 0.740576778557809 |
58 | 100 | 109.343794695509 | -9.34379469550936 |
59 | 94 | 107.811900861538 | -13.8119008615384 |
60 | 94 | 104.736727448728 | -10.7367274487280 |
61 | 94 | 101.919849222321 | -7.91984922232103 |
62 | 103 | 99.4156205864104 | 3.58437941358956 |
63 | 103 | 99.6150640668451 | 3.38493593315488 |
64 | 80 | 99.9045231654639 | -19.9045231654639 |
65 | 106 | 94.2183211639325 | 11.7816788360675 |
66 | 117 | 96.054684396057 | 20.945315603943 |
67 | 99 | 100.763029729739 | -1.76302972973896 |
68 | 95 | 100.345517124125 | -5.34551712412465 |
69 | 116 | 98.9181126184146 | 17.0818873815854 |
70 | 118 | 103.162348547639 | 14.8376514523606 |
71 | 100 | 107.496144460001 | -7.49614446000074 |
72 | 100 | 106.559803606599 | -6.55980360659943 |
73 | 105 | 105.571433750488 | -0.571433750487699 |
74 | 121 | 105.893637923720 | 15.1063620762798 |
75 | 131 | 110.306281209411 | 20.6937187905894 |
76 | 108 | 116.784682962256 | -8.78468296225641 |
77 | 136 | 116.35108456581 | 19.6489154341899 |
78 | 149 | 123.028301452203 | 25.9716985477967 |
79 | 131 | 132.144609561883 | -1.14460956188259 |
80 | 137 | 135.1782175833 | 1.82178241670010 |
81 | 164 | 138.944616281093 | 25.0553837189073 |
82 | 169 | 148.878787170978 | 20.1212128290218 |
83 | 154 | 158.513440992926 | -4.51344099292609 |
84 | 160 | 162.484136054812 | -2.48413605481167 |
85 | 166 | 166.807992608255 | -0.807992608254693 |
86 | 186 | 171.472943701585 | 14.5270562984147 |
87 | 197 | 180.129018840633 | 16.8709811593669 |
88 | 166 | 189.976920332023 | -23.9769203320228 |
89 | 191 | 189.778182711607 | 1.22181728839314 |
90 | 207 | 195.238278263155 | 11.7617217368449 |
91 | 187 | 203.512079231596 | -16.5120792315956 |
92 | 191 | 204.835210510672 | -13.8352105106725 |
93 | 222 | 206.204912551706 | 15.7950874482942 |
94 | 230 | 214.798825656409 | 15.2011743435912 |
95 | 210 | 223.864166927757 | -13.8641669277569 |
96 | 224 | 225.907759960778 | -1.90775996077838 |
97 | 234 | 230.537599235267 | 3.46240076473342 |
98 | 251 | 236.500561684282 | 14.4994383157181 |
99 | 258 | 245.496630882329 | 12.5033691176709 |
100 | 227 | 254.544815148427 | -27.5448151484268 |
101 | 254 | 253.582725672716 | 0.417274327284417 |
102 | 281 | 258.862759837943 | 22.1372401620573 |
103 | 261 | 269.857683111974 | -8.85768311197404 |
104 | 264 | 273.600064965789 | -9.60006496578859 |
105 | 286 | 276.795929818553 | 9.20407018144738 |
106 | 293 | 284.543902449876 | 8.45609755012367 |
107 | 276 | 292.461147196273 | -16.4611471962726 |
108 | 292 | 294.177057334920 | -2.17705733491965 |
109 | 299 | 298.986761004164 | 0.0132389958356498 |
110 | 319 | 304.284643746027 | 14.7153562539728 |
111 | 329 | 313.440210604850 | 15.5597893951496 |
112 | 293 | 323.401683894197 | -30.401683894197 |
113 | 318 | 321.922883224305 | -3.92288322430511 |
114 | 346 | 326.183609534473 | 19.8163904655268 |
115 | 327 | 336.516644983285 | -9.516644983285 |
116 | 329 | 339.940977848495 | -10.9409778484946 |
117 | 353 | 342.61371293944 | 10.3862870605601 |
118 | 355 | 350.447259434631 | 4.55274056536859 |
119 | 332 | 357.162805088589 | -25.1628050885895 |
120 | 346 | 356.263155571568 | -10.2631555715683 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
121 | 358.273239854298 | 334.134989736376 | 382.411489972221 |
122 | 362.568340081813 | 337.613199701773 | 387.523480461853 |
123 | 366.863440309328 | 340.864931236798 | 392.861949381857 |
124 | 371.158540536842 | 343.882486442201 | 398.434594631484 |
125 | 375.453640764357 | 346.665124464909 | 404.242157063805 |
126 | 379.748740991872 | 349.2176619798 | 410.279820003944 |
127 | 384.043841219386 | 351.548839263316 | 416.538843175457 |
128 | 388.338941446901 | 353.669769974652 | 423.00811291915 |
129 | 392.634041674416 | 355.59266803114 | 429.675415317691 |
130 | 396.929141901931 | 357.329917604624 | 436.528366199237 |
131 | 401.224242129445 | 358.893464417798 | 443.555019841092 |
132 | 405.51934235696 | 360.294464557766 | 450.744220156153 |