Estimated Parameters of Exponential Smoothing | |
Parameter | Value |
alpha | 0.999931422911231 |
beta | FALSE |
gamma | FALSE |
Interpolation Forecasts of Exponential Smoothing | |||
t | Observed | Fitted | Residuals |
2 | 7.08 | 7.08 | 0 |
3 | 7.09 | 7.08 | 0.00999999999999979 |
4 | 7.07 | 7.08999931422911 | -0.0199993142291115 |
5 | 7.06 | 7.07000137149475 | -0.0100013714947478 |
6 | 6.99 | 7.06000068586494 | -0.0700006858649402 |
7 | 6.99 | 6.99000480044325 | -4.80044324824291e-06 |
8 | 6.99 | 6.9900000003292 | -3.29200666726592e-10 |
9 | 6.98 | 6.99000000000002 | -0.010000000000022 |
10 | 6.96 | 6.98000068577089 | -0.0200006857708885 |
11 | 6.95 | 6.9600013715888 | -0.0100013715888032 |
12 | 6.91 | 6.95000068586495 | -0.0400006858649471 |
13 | 6.91 | 6.91000274313059 | -2.74313058579168e-06 |
14 | 6.87 | 6.91000000018812 | -0.0400000001881162 |
15 | 6.91 | 6.87000274308356 | 0.0399972569164362 |
16 | 6.89 | 6.90999725710456 | -0.0199972571045626 |
17 | 6.88 | 6.89000137135368 | -0.0100013713536757 |
18 | 6.9 | 6.88000068586493 | 0.0199993141350694 |
19 | 6.91 | 6.89999862850526 | 0.0100013714947407 |
20 | 6.85 | 6.90999931413506 | -0.0599993141350597 |
21 | 6.86 | 6.85000411457829 | 0.00999588542170926 |
22 | 6.82 | 6.85999931451128 | -0.0399993145112782 |
23 | 6.8 | 6.82000274303654 | -0.0200027430365424 |
24 | 6.83 | 6.80000137172989 | 0.029998628270115 |
25 | 6.84 | 6.82999794278141 | 0.0100020572185935 |
26 | 6.89 | 6.83999931408803 | 0.0500006859119653 |
27 | 7.14 | 6.88999657109852 | 0.250003428901477 |
28 | 7.21 | 7.13998285549266 | 0.0700171445073368 |
29 | 7.25 | 7.20999519842807 | 0.0400048015719339 |
30 | 7.31 | 7.24999725658717 | 0.0600027434128281 |
31 | 7.3 | 7.30999588518654 | -0.00999588518653827 |
32 | 7.48 | 7.30000068548871 | 0.179999314511295 |
33 | 7.49 | 7.47998765617103 | 0.0100123438289694 |
34 | 7.4 | 7.48999931338261 | -0.0899993133826085 |
35 | 7.44 | 7.4000061718909 | 0.0399938281090968 |
36 | 7.42 | 7.4399972573397 | -0.0199972573396998 |
37 | 7.14 | 7.42000137135369 | -0.280001371353692 |
38 | 7.24 | 7.1400192016789 | 0.0999807983211021 |
39 | 7.33 | 7.23999314360792 | 0.0900068563920815 |
40 | 7.61 | 7.32999382759182 | 0.280006172408181 |
41 | 7.66 | 7.60998079799186 | 0.0500192020081407 |
42 | 7.69 | 7.65999656982874 | 0.0300034301712566 |
43 | 7.7 | 7.68999794245211 | 0.0100020575478936 |
44 | 7.68 | 7.69999931408801 | -0.0199993140880119 |
45 | 7.71 | 7.68000137149474 | 0.0299986285052629 |
46 | 7.71 | 7.70999794278139 | 2.05721860968566e-06 |
47 | 7.72 | 7.70999999985892 | 0.010000000141078 |
48 | 7.68 | 7.7199993142291 | -0.0399993142291031 |
49 | 7.72 | 7.68000274303652 | 0.0399972569634777 |
50 | 7.74 | 7.71999725710456 | 0.0200027428954419 |
51 | 7.76 | 7.73999862827012 | 0.020001371729875 |
52 | 7.9 | 7.75999862836415 | 0.140001371635845 |
53 | 7.97 | 7.89999039911351 | 0.0700096008864897 |
54 | 7.96 | 7.96999519894539 | -0.00999519894538548 |
55 | 7.95 | 7.96000068544165 | -0.0100006854416455 |
56 | 7.97 | 7.95000068581789 | 0.0199993141821064 |
57 | 7.93 | 7.96999862850526 | -0.0399986285052565 |
58 | 7.99 | 7.9300027429895 | 0.0599972570105027 |
59 | 7.96 | 7.98999588556278 | -0.02999588556278 |
60 | 7.92 | 7.96000205703051 | -0.0400020570305069 |
61 | 7.97 | 7.92000274322462 | 0.0499972567753835 |
62 | 7.98 | 7.96999657133368 | 0.0100034286663169 |
63 | 8 | 7.97999931399398 | 0.0200006860060151 |
64 | 8.04 | 7.99999862841118 | 0.0400013715888186 |
65 | 8.17 | 8.03999725682239 | 0.130002743177611 |
66 | 8.29 | 8.16999108479034 | 0.120008915209658 |
67 | 8.26 | 8.28999177013797 | -0.0299917701379684 |
68 | 8.3 | 8.26000205674828 | 0.0399979432517181 |
69 | 8.32 | 8.2999972570575 | 0.0200027429425038 |
70 | 8.28 | 8.31999862827012 | -0.0399986282701228 |
71 | 8.27 | 8.28000274298948 | -0.0100027429894816 |
72 | 8.32 | 8.27000068595899 | 0.0499993140410062 |
73 | 8.31 | 8.3199965711926 | -0.00999657119260178 |
74 | 8.34 | 8.31000068553575 | 0.0299993144642485 |
75 | 8.32 | 8.33999794273435 | -0.0199979427343493 |
76 | 8.36 | 8.32000137140069 | 0.0399986285993048 |
77 | 8.33 | 8.35999725701049 | -0.0299972570104945 |
78 | 8.35 | 8.33000205712456 | 0.0199979428754435 |
79 | 8.34 | 8.3499986285993 | -0.00999862859929657 |
80 | 8.37 | 8.34000068567684 | 0.0299993143231578 |
81 | 8.31 | 8.36999794273436 | -0.0599979427343573 |
82 | 8.33 | 8.31000411448425 | 0.0199958855157547 |
83 | 8.34 | 8.32999862874038 | 0.0100013712596159 |
84 | 8.25 | 8.33999931413508 | -0.0899993141350759 |
Extrapolation Forecasts of Exponential Smoothing | |||
t | Forecast | 95% Lower Bound | 95% Upper Bound |
85 | 8.25000617189095 | 8.11362819862611 | 8.38638414515579 |
86 | 8.25000617189095 | 8.05714520552604 | 8.44286713825587 |
87 | 8.25000617189095 | 8.01380339226592 | 8.48620895151599 |
88 | 8.25000617189095 | 7.97726425384758 | 8.52274808993433 |
89 | 8.25000617189095 | 7.94507248301194 | 8.55493986076997 |
90 | 8.25000617189095 | 7.91596881564356 | 8.58404352813834 |
91 | 8.25000617189095 | 7.88920517948083 | 8.61080716430108 |
92 | 8.25000617189095 | 7.86429415901151 | 8.6357181847704 |
93 | 8.25000617189095 | 7.84089719174642 | 8.65911515203549 |
94 | 8.25000617189095 | 7.81876777101473 | 8.68124457276718 |
95 | 8.25000617189095 | 7.79771980337465 | 8.70229254040726 |
96 | 8.25000617189095 | 7.77760871222267 | 8.72240363155924 |