Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.936888096626754 |
beta | 0.828413409801924 |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
3 | 105.4 | 94 | 11.4 |
4 | 107.1 | 108.528413856660 | -1.42841385666023 |
5 | 110.7 | 109.929403679192 | 0.770596320807812 |
6 | 117.1 | 113.988703394520 | 3.11129660547955 |
7 | 118.7 | 122.655750040687 | -3.95575004068711 |
8 | 126.5 | 121.631585905084 | 4.86841409491615 |
9 | 127.5 | 132.653201568736 | -5.15320156873645 |
10 | 134.6 | 130.286127059423 | 4.31387294057691 |
11 | 131.8 | 140.136771032064 | -8.33677103206435 |
12 | 135.9 | 131.664753625936 | 4.23524637406433 |
13 | 142.7 | 138.258414253318 | 4.44158574668188 |
14 | 141.7 | 148.492642671913 | -6.79264267191309 |
15 | 153.4 | 142.929677951704 | 10.4703220482955 |
16 | 145 | 161.666517380681 | -16.6665173806808 |
17 | 137.7 | 142.043779788519 | -4.34377978851876 |
18 | 148.3 | 130.594727678295 | 17.7052723217053 |
19 | 152.2 | 153.544774772892 | -1.34477477289232 |
20 | 169.4 | 157.603338568676 | 11.7966614313244 |
21 | 168.6 | 183.129708171458 | -14.5297081714576 |
22 | 161.1 | 172.714263433619 | -11.6142634336185 |
23 | 174.1 | 156.016078191186 | 18.0839218088142 |
24 | 179 | 181.177255412026 | -2.17725541202628 |
25 | 190.6 | 185.666142185149 | 4.93385781485097 |
26 | 190 | 200.646664629951 | -10.6466646299511 |
27 | 181.6 | 192.766778181890 | -11.1667781818905 |
28 | 174.8 | 175.732724587261 | -0.93272458726065 |
29 | 180.5 | 167.562917833625 | 12.9370821663748 |
30 | 196.8 | 182.428434085557 | 14.3715659144427 |
31 | 193.8 | 209.792114063494 | -15.9921140634945 |
32 | 197 | 196.296453613774 | 0.703546386225923 |
33 | 216.3 | 198.988802627721 | 17.3111973722788 |
34 | 221.4 | 230.676413252619 | -9.27641325261911 |
35 | 217.9 | 230.254699199796 | -12.3546991997960 |
36 | 229.7 | 217.360114807289 | 12.3398851927106 |
37 | 227.4 | 237.17895585589 | -9.77895585589027 |
38 | 204.2 | 228.685170525644 | -24.4851705256441 |
39 | 196.6 | 187.409616097757 | 9.19038390224287 |
40 | 198.8 | 184.817226509449 | 13.9827734905508 |
41 | 207.5 | 197.567228936841 | 9.93277106315867 |
42 | 190.7 | 214.231960486689 | -23.5319604866891 |
43 | 201.6 | 181.280107302819 | 20.3198926971814 |
44 | 210.5 | 205.183425167594 | 5.31657483240585 |
45 | 223.5 | 219.156669863080 | 4.34333013692046 |
46 | 223.8 | 235.589084885880 | -11.7890848858802 |
47 | 231.2 | 227.757362038525 | 3.44263796147504 |
48 | 244 | 236.867995900552 | 7.13200409944841 |
49 | 234.7 | 254.970520049637 | -20.270520049637 |
50 | 250.2 | 231.667373345923 | 18.5326266540773 |
51 | 265.7 | 259.102172707726 | 6.59782729227436 |
52 | 287.6 | 280.476176680754 | 7.12382331924613 |
53 | 283.3 | 307.871997784259 | -24.5719977842586 |
54 | 295.4 | 286.501300458197 | 8.8986995418034 |
55 | 312.3 | 303.395454615529 | 8.9045453844713 |
56 | 333.8 | 327.206176383825 | 6.59382361617509 |
57 | 347.7 | 353.969679125931 | -6.26967912593091 |
58 | 383.2 | 363.815429052923 | 19.3845709470772 |
59 | 407.1 | 412.741300397082 | -5.64130039708209 |
60 | 413.6 | 433.842344555343 | -20.2423445553430 |
61 | 362.7 | 425.553139948472 | -62.8531399484724 |
62 | 321.9 | 328.560139187149 | -6.66013918714884 |
63 | 239.4 | 279.044553711655 | -39.6445537116554 |
64 | 191 | 167.856909148111 | 23.1430908518893 |
65 | 159.7 | 133.456323831866 | 26.2436761681338 |
66 | 163.4 | 122.329161767816 | 41.0708382321836 |
67 | 157.6 | 156.969728244327 | 0.630271755672595 |
68 | 166.2 | 154.211182603582 | 11.9888173964179 |
69 | 176.7 | 171.399211959866 | 5.3007880401336 |
70 | 198.3 | 186.435410356935 | 11.8645896430654 |
71 | 226.2 | 216.829628167094 | 9.370371832906 |
72 | 216.2 | 252.159675901215 | -35.9596759012148 |
73 | 235.9 | 217.111134404971 | 18.7888655950291 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
74 | 247.938464450437 | 215.801375336682 | 280.075553564193 |
75 | 261.162729970801 | 197.417509287621 | 324.907950653982 |
76 | 274.386995491165 | 172.100652888896 | 376.673338093434 |
77 | 287.611261011529 | 141.070531905368 | 434.15199011769 |
78 | 300.835526531893 | 105.022386029901 | 496.648667033884 |
79 | 314.059792052257 | 64.4349482905303 | 563.684635813983 |
80 | 327.284057572620 | 19.6677709464701 | 634.90034419877 |
81 | 340.508323092984 | -28.9949950765487 | 710.011641262517 |
82 | 353.732588613348 | -81.3209647179877 | 788.786141944684 |
83 | 366.956854133712 | -137.115284357096 | 871.02899262452 |
84 | 380.181119654076 | -196.211408376065 | 956.573647684216 |
85 | 393.405385174440 | -258.464797903691 | 1045.27556825257 |