| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.570074336371817 |
| beta | 0.146198857248525 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 1.75 | 1.67788728632479 | 0.0721127136752133 |
| 14 | 1.75 | 1.72848463544242 | 0.0215153645575814 |
| 15 | 1.75 | 1.7524475822086 | -0.00244758220859564 |
| 16 | 1.76 | 1.77337920951131 | -0.0133792095113106 |
| 17 | 1.76 | 1.7773805835662 | -0.0173805835661984 |
| 18 | 1.77 | 1.78765230584211 | -0.017652305842111 |
| 19 | 1.78 | 1.83796457528831 | -0.0579645752883147 |
| 20 | 1.78 | 1.79296484236876 | -0.0129648423687649 |
| 21 | 1.78 | 1.78587109103399 | -0.00587109103398498 |
| 22 | 1.78 | 1.78399865046806 | -0.00399865046806269 |
| 23 | 1.78 | 1.77411037582474 | 0.00588962417526084 |
| 24 | 1.79 | 1.78326668556575 | 0.00673331443425318 |
| 25 | 1.79 | 1.81821825057023 | -0.0282182505702322 |
| 26 | 1.79 | 1.7793867921841 | 0.010613207815902 |
| 27 | 1.79 | 1.77544418093097 | 0.0145558190690296 |
| 28 | 1.79 | 1.79139812650933 | -0.00139812650933235 |
| 29 | 1.79 | 1.79153677178443 | -0.00153677178442524 |
| 30 | 1.8 | 1.80307177092216 | -0.00307177092215638 |
| 31 | 1.8 | 1.83792789995671 | -0.0379278999567094 |
| 32 | 1.8 | 1.81893019248964 | -0.0189301924896412 |
| 33 | 1.8 | 1.80622144748277 | -0.00622144748276909 |
| 34 | 1.8 | 1.79966100135507 | 0.000338998644933364 |
| 35 | 1.81 | 1.79156496356164 | 0.0184350364383581 |
| 36 | 1.81 | 1.80434963389581 | 0.00565036610419334 |
| 37 | 1.82 | 1.81968082451847 | 0.000319175481526823 |
| 38 | 1.82 | 1.81221445173093 | 0.00778554826907052 |
| 39 | 1.82 | 1.80652121589212 | 0.0134787841078776 |
| 40 | 1.82 | 1.81307871799902 | 0.00692128200097808 |
| 41 | 1.83 | 1.8166703691415 | 0.0133296308584994 |
| 42 | 1.83 | 1.83602934780175 | -0.00602934780175213 |
| 43 | 1.84 | 1.85397635724945 | -0.0139763572494478 |
| 44 | 1.84 | 1.85855909764472 | -0.0185590976447172 |
| 45 | 1.84 | 1.85331533458358 | -0.0133153345835844 |
| 46 | 1.85 | 1.84672972983454 | 0.00327027016546433 |
| 47 | 1.85 | 1.84952737049838 | 0.00047262950162108 |
| 48 | 1.85 | 1.84652129774082 | 0.00347870225917624 |
| 49 | 1.86 | 1.85808708925019 | 0.00191291074981148 |
| 50 | 1.86 | 1.85463670430927 | 0.00536329569072569 |
| 51 | 1.86 | 1.8497058468878 | 0.0102941531122032 |
| 52 | 1.86 | 1.85105878782521 | 0.00894121217479382 |
| 53 | 1.87 | 1.85815556613115 | 0.0118444338688484 |
| 54 | 1.87 | 1.86781967095077 | 0.00218032904923238 |
| 55 | 1.87 | 1.88718913285081 | -0.017189132850812 |
| 56 | 1.87 | 1.88786129803654 | -0.0178612980365427 |
| 57 | 1.88 | 1.88521910191455 | -0.00521910191455399 |
| 58 | 1.9 | 1.89100364390505 | 0.00899635609495064 |
| 59 | 1.9 | 1.89696415297693 | 0.00303584702307447 |
| 60 | 1.91 | 1.89802667321897 | 0.011973326781028 |
| 61 | 1.91 | 1.91578481668391 | -0.00578481668390962 |
| 62 | 1.91 | 1.91081096133048 | -0.000810961330477422 |
| 63 | 1.92 | 1.90534702938052 | 0.014652970619482 |
| 64 | 1.92 | 1.90983324731179 | 0.010166752688209 |
| 65 | 1.92 | 1.92020907706641 | -0.000209077066405383 |
| 66 | 1.92 | 1.91917458027576 | 0.000825419724244103 |
| 67 | 1.92 | 1.92965893283891 | -0.00965893283890873 |
| 68 | 1.92 | 1.93517720781478 | -0.0151772078147849 |
| 69 | 1.92 | 1.94056636767796 | -0.0205663676779591 |
| 70 | 1.92 | 1.9435003321767 | -0.023500332176702 |
| 71 | 1.93 | 1.92545124104084 | 0.00454875895916063 |
| 72 | 1.93 | 1.92842328153822 | 0.00157671846178231 |
| 73 | 1.93 | 1.92895800269748 | 0.00104199730252463 |
| 74 | 1.94 | 1.92692140121996 | 0.0130785987800355 |
| 75 | 1.95 | 1.93408858110312 | 0.0159114188968772 |
| 76 | 1.95 | 1.93553304113016 | 0.0144669588698438 |
| 77 | 1.95 | 1.94242744314263 | 0.00757255685736724 |
| 78 | 1.95 | 1.94545033761441 | 0.00454966238558652 |
| 79 | 1.98 | 1.95303721194276 | 0.0269627880572449 |
| 80 | 1.98 | 1.97959926959504 | 0.000400730404964245 |
| 81 | 2.01 | 1.99538953264711 | 0.014610467352888 |
| 82 | 2.02 | 2.0238847656798 | -0.003884765679802 |
| 83 | 2.11 | 2.03748111802159 | 0.0725188819784059 |
| 84 | 2.14 | 2.09199242976284 | 0.0480075702371647 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 2.13670504550337 | 2.09873009315876 | 2.17467999784798 |
| 86 | 2.15710117545186 | 2.11173809912467 | 2.20246425177905 |
| 87 | 2.17479236178363 | 2.12149501762812 | 2.22808970593914 |
| 88 | 2.18198087296497 | 2.12025141514274 | 2.24371033078721 |
| 89 | 2.19189396844576 | 2.12127102417258 | 2.26251691271895 |
| 90 | 2.20289920966812 | 2.12295007499271 | 2.28284834434352 |
| 91 | 2.2307481151002 | 2.14106337864753 | 2.32043285155287 |
| 92 | 2.24149217547514 | 2.14168186505338 | 2.3413024858969 |
| 93 | 2.27410223092783 | 2.16379295283205 | 2.38441150902362 |
| 94 | 2.2960382461231 | 2.17487099554722 | 2.41720549669898 |
| 95 | 2.35474227533519 | 2.2223707158605 | 2.48711383480987 |
| 96 | 2.36137554492007 | 2.21746462584893 | 2.5052864639912 |
