Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.81076580745604 |
beta | 0.0343226921710069 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | -5 | -3 | -2 |
4 | -4 | -5.67718694537626 | 1.67718694537626 |
5 | -6 | -5.32636425097017 | -0.673635749029835 |
6 | -2 | -6.90025392669258 | 4.90025392669258 |
7 | -2 | -3.81866181298278 | 1.81866181298278 |
8 | -2 | -3.184910105493 | 1.184910105493 |
9 | -2 | -3.03200933110704 | 1.03200933110704 |
10 | 2 | -2.97435686634432 | 4.97435686634432 |
11 | 1 | 0.418040918718967 | 0.581959081281033 |
12 | -8 | 0.265427329399959 | -8.26542732939996 |
13 | -1 | -7.29035219177315 | 6.29035219177315 |
14 | 1 | -2.86975756132562 | 3.86975756132562 |
15 | -1 | -0.304011973010718 | -0.695988026989282 |
16 | 2 | -1.4593845150654 | 3.4593845150654 |
17 | 2 | 0.850543511413859 | 1.14945648858614 |
18 | 1 | 1.31964756670256 | -0.319647566702555 |
19 | -1 | 0.588757240889717 | -1.58875724088972 |
20 | -2 | -1.21529521930029 | -0.784704780699712 |
21 | -2 | -2.38928593931066 | 0.389285939310662 |
22 | -1 | -2.60061220646723 | 1.60061220646723 |
23 | -8 | -1.78529525389192 | -6.21470474610808 |
24 | -4 | -7.4793107840872 | 3.4793107840872 |
25 | -6 | -5.21692888971432 | -0.783071110285677 |
26 | -3 | -6.43213153432863 | 3.43213153432863 |
27 | -3 | -4.13428379582158 | 1.13428379582158 |
28 | -7 | -3.66788796468793 | -3.33211203531207 |
29 | -9 | -6.91541805423613 | -2.08458194576387 |
30 | -11 | -9.20950245194166 | -1.79049754805834 |
31 | -13 | -11.3149786418475 | -1.68502135815251 |
32 | -11 | -13.3818285537405 | 2.38182855374052 |
33 | -9 | -12.0851348853813 | 3.08513488538135 |
34 | -17 | -10.1323723903742 | -6.86762760962579 |
35 | -22 | -16.4400794581091 | -5.55992054189093 |
36 | -25 | -21.8422619567127 | -3.15773804328733 |
37 | -20 | -25.3847094993384 | 5.3847094993384 |
38 | -24 | -21.8513887690967 | -2.14861123090334 |
39 | -24 | -24.4856177375822 | 0.485617737582178 |
40 | -22 | -24.9705903215772 | 2.97059032157724 |
41 | -19 | -23.3581675089929 | 4.35816750899288 |
42 | -18 | -20.4994669311803 | 2.49946693118027 |
43 | -17 | -19.0781828991373 | 2.07818289913734 |
44 | -11 | -17.9406305774938 | 6.94063057749378 |
45 | -11 | -12.6676303934847 | 1.66763039348469 |
46 | -12 | -11.6233922010588 | -0.376607798941167 |
47 | -10 | -12.2470325531003 | 2.24703255310033 |
48 | -15 | -10.6809853469914 | -4.31901465300863 |
49 | -15 | -14.5586527996342 | -0.441347200365763 |
50 | -15 | -15.304721731132 | 0.304721731132002 |
51 | -13 | -15.4374237886432 | 2.43742378864323 |
52 | -8 | -13.7731761272141 | 5.77317612721411 |
53 | -13 | -9.24376051493618 | -3.75623948506382 |
54 | -9 | -12.5449966210529 | 3.54499662105288 |
55 | -7 | -9.82799116094712 | 2.82799116094712 |
56 | -4 | -7.61361282034825 | 3.61361282034825 |
57 | -4 | -4.66172089286702 | 0.661720892867024 |
58 | -2 | -4.0847078600093 | 2.0847078600093 |
59 | 0 | -2.29597309730199 | 2.29597309730199 |
60 | -2 | -0.272060133160077 | -1.72793986683992 |
61 | -3 | -1.55868274467912 | -1.44131725532088 |
62 | 1 | -2.65303003720907 | 3.65303003720907 |
63 | -2 | 0.484600563308747 | -2.48460056330875 |
64 | -1 | -1.42309049858039 | 0.423090498580388 |
65 | 1 | -0.961551448086894 | 1.96155144808689 |
66 | -3 | 0.801904533405716 | -3.80190453340572 |
67 | -4 | -2.21325065427386 | -1.78674934572614 |
68 | -9 | -3.6443079817117 | -5.3556920182883 |
69 | -9 | -8.11797840140483 | -0.882021598595166 |
70 | -7 | -8.98909441275644 | 1.98909441275644 |
71 | -14 | -7.47705587943139 | -6.52294412056861 |
72 | -12 | -13.0478054459894 | 1.04780544598937 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
73 | -12.4512921479902 | -18.918569791855 | -5.98401450412532 |
74 | -12.7043036784653 | -21.1446312850718 | -4.26397607185885 |
75 | -12.9573152089405 | -23.0883104904112 | -2.82631992746985 |
76 | -13.2103267394157 | -24.8758427517723 | -1.54481072705908 |
77 | -13.4633382698909 | -26.5646932869741 | -0.361983252807725 |
78 | -13.7163498003661 | -28.1865108773268 | 0.753811276594618 |
79 | -13.9693613308413 | -29.760789911431 | 1.82206724974845 |
80 | -14.2223728613165 | -31.3004654422924 | 2.85571971965949 |
81 | -14.4753843917916 | -32.8145890695156 | 3.86382028593228 |
82 | -14.7283959222668 | -34.3097528846881 | 4.85296104015445 |
83 | -14.981407452742 | -35.7909091500924 | 5.82809424460838 |
84 | -15.2344189832172 | -37.2618715656414 | 6.79303359920702 |