Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.226688600692505 |
beta | 0 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 98.8 | 86.7 | 12.1 |
4 | 84.4 | 89.5429320683793 | -5.1429320683793 |
5 | 91.4 | 88.4770879943418 | 2.92291200565822 |
6 | 95.7 | 89.2396788268518 | 6.46032117314823 |
7 | 78.5 | 90.8041599936169 | -12.3041599936169 |
8 | 81.7 | 88.1149471819672 | -6.41494718196718 |
9 | 94.3 | 86.7607517817707 | 7.53924821822929 |
10 | 98.5 | 88.5698134106346 | 9.93018658936543 |
11 | 95.4 | 90.9208735131933 | 4.47912648680671 |
12 | 91.7 | 92.0362404288122 | -0.336240428812246 |
13 | 92.8 | 92.0600185565086 | 0.739981443491445 |
14 | 90.6 | 92.327763914472 | -1.72776391447205 |
15 | 102.2 | 92.0360995303734 | 10.1639004696266 |
16 | 91.8 | 94.4401399054109 | -2.64013990541092 |
17 | 95 | 93.9416502846209 | 1.05834971537914 |
18 | 102 | 94.2815661006435 | 7.71843389935654 |
19 | 88.9 | 96.1312470808262 | -7.23124708082618 |
20 | 89.6 | 94.5920057988119 | -4.99200579881193 |
21 | 97.9 | 93.5603749896304 | 4.33962501036963 |
22 | 108.6 | 94.6441185107613 | 13.9558814892387 |
23 | 100.8 | 97.9077577569872 | 2.89224224301277 |
24 | 95.1 | 98.6633961039195 | -3.56339610391954 |
25 | 101 | 97.9556148274089 | 3.04438517259112 |
26 | 100.9 | 98.7457422421526 | 2.15425775784743 |
27 | 102.5 | 99.33408791881 | 3.16591208119003 |
28 | 105.4 | 100.15176409841 | 5.24823590158958 |
29 | 98.4 | 101.441479351046 | -3.04147935104592 |
30 | 105.3 | 100.852010652922 | 4.44798934707782 |
31 | 96.5 | 101.960319133906 | -5.46031913390641 |
32 | 88.1 | 100.822527030107 | -12.7225270301066 |
33 | 107.9 | 98.0384751803792 | 9.86152481962083 |
34 | 107.1 | 100.373970442433 | 6.72602955756656 |
35 | 92.5 | 101.998684671055 | -9.49868467105462 |
36 | 95.7 | 99.9454411345539 | -4.24544113455389 |
37 | 85.2 | 99.0830480244395 | -13.8830480244395 |
38 | 85.5 | 96.0359192944324 | -10.5359192944324 |
39 | 94.7 | 93.7475464925684 | 0.952453507431628 |
40 | 86.2 | 94.0634568453927 | -7.8634568453927 |
41 | 88.8 | 92.3809008165047 | -3.58090081650472 |
42 | 93.4 | 91.6691514211926 | 1.7308485788074 |
43 | 83.4 | 92.1615150635331 | -8.76151506353305 |
44 | 82.9 | 90.2753794738344 | -7.37537947383443 |
45 | 96.7 | 88.7034650213347 | 7.99653497866532 |
46 | 96.2 | 90.616188346037 | 5.58381165396301 |
47 | 92.8 | 91.9819747964044 | 0.818025203595639 |
48 | 92.8 | 92.2674117851386 | 0.532588214861349 |
49 | 90.2 | 92.4881434623109 | -2.28814346231088 |
50 | 95.9 | 92.0694474226559 | 3.83055257734408 |
51 | 107.5 | 93.0377900262931 | 14.4622099737069 |
52 | 98 | 96.4162081681539 | 1.58379183184607 |
53 | 95 | 96.8752357223033 | -1.87523572230333 |
54 | 108.5 | 96.5501411604458 | 11.9498588395542 |
55 | 91.8 | 99.3590379392573 | -7.55903793925728 |
56 | 91.7 | 97.7454902062255 | -6.04549020622548 |
57 | 108.3 | 96.475046490876 | 11.824953509124 |
58 | 105.1 | 99.2556286551132 | 5.84437134488677 |
59 | 104.8 | 100.680481017213 | 4.11951898278701 |
60 | 103.2 | 101.714329010947 | 1.48567098905282 |
61 | 98.6 | 102.151113688545 | -3.55111368854502 |
62 | 102.4 | 101.446116695589 | 0.953883304411278 |
63 | 121.2 | 101.76235116709 | 19.4376488329103 |
64 | 102.6 | 106.268644581774 | -3.66864458177442 |
65 | 108.9 | 105.537004675094 | 3.36299532490618 |
66 | 105.5 | 106.399357379432 | -0.899357379432246 |
67 | 90.8 | 106.295483313566 | -15.4954833135663 |
68 | 99.6 | 102.88283388416 | -3.28283388415986 |
69 | 111.6 | 102.238652864654 | 9.36134713534629 |
70 | 104.7 | 104.460763547362 | 0.239236452637869 |
71 | 103.1 | 104.614995724045 | -1.51499572404525 |
72 | 101.7 | 104.371563463306 | -2.67156346330628 |
73 | 98.8 | 103.865950480148 | -5.06595048014816 |
74 | 101.4 | 102.817557254626 | -1.41755725462583 |
75 | 114.2 | 102.596213184173 | 11.6037868158268 |
76 | 96.9 | 105.326659380187 | -8.4266593801871 |
77 | 98.3 | 103.51643175678 | -5.21643175678011 |
78 | 104.8 | 102.433926141228 | 2.36607385877232 |
79 | 94.4 | 103.070288113408 | -8.67028811340788 |
80 | 94.5 | 101.204832633379 | -6.70483263337859 |
81 | 102.4 | 99.7849235058405 | 2.61507649415947 |
82 | 105.5 | 100.477731537005 | 5.02226846299459 |
83 | 101.2 | 101.716222547184 | -0.516222547183744 |
84 | 99.5 | 101.699200780317 | -2.19920078031674 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 101.300667032785 | 87.4355877018725 | 115.165746363697 |
86 | 101.400667032785 | 87.1838030219978 | 115.617531043572 |
87 | 101.500667032785 | 86.9405152564491 | 116.060818809121 |
88 | 101.600667032785 | 86.7051369247742 | 116.496197140796 |
89 | 101.700667032785 | 86.4771452770487 | 116.924188788521 |
90 | 101.800667032785 | 86.256072728137 | 117.345261337433 |
91 | 101.900667032785 | 86.0414990361713 | 117.759835029398 |
92 | 102.000667032785 | 85.8330448516003 | 118.168289213969 |
93 | 102.100667032785 | 85.6303663542225 | 118.570967711347 |
94 | 102.200667032785 | 85.4331507620019 | 118.968183303568 |
95 | 102.300667032785 | 85.2411125444727 | 119.360221521097 |
96 | 102.400667032785 | 85.0539902101652 | 119.747343855404 |