| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.704886729433071 |
| beta | 0.0365657311470088 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 9.29 | 9.28 | 0.00999999999999979 |
| 4 | 9.27 | 9.29730661428071 | -0.0273066142807057 |
| 5 | 9.29 | 9.28761247148097 | 0.00238752851903357 |
| 6 | 9.31 | 9.29891087371072 | 0.0110891262892796 |
| 7 | 9.33 | 9.31662873562185 | 0.0133712643781543 |
| 8 | 9.35 | 9.3362998866963 | 0.0137001133036971 |
| 9 | 9.34 | 9.35655595530607 | -0.0165559553060657 |
| 10 | 9.35 | 9.35505819790932 | -0.00505819790932094 |
| 11 | 9.38 | 9.36153468359302 | 0.0184653164069815 |
| 12 | 9.43 | 9.38506852031355 | 0.0449314796864542 |
| 13 | 9.47 | 9.42841609965704 | 0.0415839003429621 |
| 14 | 9.5 | 9.47047582724509 | 0.0295241727549076 |
| 15 | 9.55 | 9.50479578955103 | 0.0452042104489703 |
| 16 | 9.58 | 9.55133352724599 | 0.028666472754006 |
| 17 | 9.61 | 9.58695290280117 | 0.0230470971988321 |
| 18 | 9.57 | 9.61920528708457 | -0.0492052870845683 |
| 19 | 9.61 | 9.59925967307072 | 0.0107403269292767 |
| 20 | 9.65 | 9.62184575555282 | 0.0281542444471761 |
| 21 | 9.62 | 9.65743234456673 | -0.0374323445667297 |
| 22 | 9.63 | 9.64582300995545 | -0.0158230099554473 |
| 23 | 9.62 | 9.6490379752304 | -0.0290379752303984 |
| 24 | 9.63 | 9.64218944179251 | -0.0121894417925059 |
| 25 | 9.65 | 9.64690303679664 | 0.00309696320336528 |
| 26 | 9.72 | 9.66247163911635 | 0.0575283608836514 |
| 27 | 9.75 | 9.71789098749028 | 0.0321090125097214 |
| 28 | 9.77 | 9.75622017464558 | 0.0137798253544243 |
| 29 | 9.78 | 9.7819845318596 | -0.00198453185959835 |
| 30 | 9.82 | 9.7965856521648 | 0.0234143478352049 |
| 31 | 9.84 | 9.82969360346857 | 0.0103063965314263 |
| 32 | 9.9 | 9.8538275781129 | 0.0461724218870998 |
| 33 | 9.94 | 9.90443311832746 | 0.0355668816725423 |
| 34 | 9.96 | 9.94847967964289 | 0.0115203203571106 |
| 35 | 10.03 | 9.97587307178399 | 0.0541269282160091 |
| 36 | 10.03 | 10.0346944016539 | -0.00469440165393031 |
| 37 | 10.12 | 10.051932359903 | 0.0680676400969684 |
| 38 | 10.12 | 10.1222137386993 | -0.00221373869926289 |
| 39 | 10.05 | 10.1428976478079 | -0.092897647807936 |
| 40 | 10.14 | 10.0972652639364 | 0.0427347360635952 |
| 41 | 10.17 | 10.1483398224807 | 0.0216601775193173 |
| 42 | 10.2 | 10.1851174889264 | 0.0148825110735658 |
| 43 | 10.2 | 10.2175012604759 | -0.0175012604759441 |
| 44 | 10.35 | 10.2266070514967 | 0.123392948503334 |
| 45 | 10.43 | 10.3382077167425 | 0.0917922832574778 |
| 46 | 10.52 | 10.4298994108535 | 0.0901005891464681 |
| 47 | 10.57 | 10.5227209677677 | 0.0472790322322538 |
| 48 | 10.57 | 10.5865767802871 | -0.0165767802871297 |
| 49 | 10.57 | 10.6049942164482 | -0.0349942164481511 |
| 50 | 10.65 | 10.6095274808861 | 0.040472519113921 |
| 51 | 10.57 | 10.6682994127186 | -0.0982994127186103 |
| 52 | 10.61 | 10.6267192136455 | -0.0167192136455299 |
| 53 | 10.63 | 10.6422128815904 | -0.0122128815904006 |
| 54 | 10.71 | 10.6605682198569 | 0.0494317801431361 |
| 55 | 10.72 | 10.723650151356 | -0.00365015135599478 |
| 56 | 10.77 | 10.7492212522175 | 0.0207787477824688 |
| 57 | 10.79 | 10.7925475258586 | -0.00254752585858675 |
| 58 | 10.82 | 10.8193657570517 | 0.000634242948338581 |
| 59 | 10.9 | 10.8484431222737 | 0.0515568777262825 |
| 60 | 10.83 | 10.9147440399646 | -0.0847440399646029 |
| 61 | 10.92 | 10.8827839974742 | 0.0372160025257831 |
| 62 | 10.91 | 10.937751201706 | -0.0277512017059927 |
| 63 | 10.88 | 10.9462086069656 | -0.0662086069656205 |
| 64 | 10.87 | 10.9258513907176 | -0.0558513907175602 |
| 65 | 11 | 10.9113552859924 | 0.0886447140076108 |
| 66 | 10.99 | 11.0009973587321 | -0.0109973587321228 |
| 67 | 11.03 | 11.0201196030973 | 0.00988039690271592 |
| 68 | 11.04 | 11.0542129646024 | -0.0142129646023754 |
| 69 | 10.99 | 11.0709569004357 | -0.0809569004357211 |
| 70 | 10.9 | 11.0385672819186 | -0.138567281918649 |
| 71 | 11 | 10.9619973400842 | 0.0380026599157919 |
| 72 | 10.99 | 11.0108687141724 | -0.0208687141723871 |
| 73 | 10.92 | 11.0177045531036 | -0.0977045531035738 |
| 74 | 10.98 | 10.9678615234155 | 0.0121384765844521 |
| 75 | 11.15 | 10.9957582532512 | 0.154241746748781 |
| 76 | 11.19 | 11.1277972269745 | 0.0622027730254526 |
| 77 | 11.33 | 11.1965624072588 | 0.133437592741188 |
| 78 | 11.38 | 11.3189793803741 | 0.0610206196259213 |
| 79 | 11.4 | 11.3919233782362 | 0.00807662176378265 |
| 80 | 11.45 | 11.4277560270942 | 0.0222439729058266 |
| 81 | 11.56 | 11.4741483854615 | 0.0858516145384787 |
| 82 | 11.61 | 11.5675897257985 | 0.0424102742014618 |
| 83 | 11.82 | 11.6315029538599 | 0.188497046140117 |
| 84 | 11.77 | 11.8032492633648 | -0.0332492633648318 |
| 85 | 11.85 | 11.8178325522558 | 0.0321674477441665 |
| 86 | 11.82 | 11.8793563189623 | -0.0593563189622692 |
| 87 | 11.92 | 11.8748363058561 | 0.0451636941438736 |
| 88 | 11.86 | 11.9451551435546 | -0.085155143554589 |
| 89 | 11.87 | 11.9214191138017 | -0.0514191138017068 |
| 90 | 11.94 | 11.9201378515629 | 0.019862148437058 |
| 91 | 11.86 | 11.9696137460238 | -0.109613746023781 |
| 92 | 11.92 | 11.9249985394274 | -0.00499853942740103 |
| 93 | 11.83 | 11.9539963678103 | -0.12399636781034 |
| 94 | 11.91 | 11.8959182371223 | 0.0140817628776713 |
| 95 | 11.93 | 11.9355325015757 | -0.00553250157568108 |
| 96 | 11.99 | 11.9611783327474 | 0.0288216672525508 |
| 97 | 11.96 | 12.0117828314146 | -0.0517828314146076 |
| 98 | 12.12 | 12.0042356017644 | 0.115764398235628 |
| 99 | 11.85 | 12.1177739833253 | -0.267773983325339 |
| 100 | 12.01 | 11.9540594557726 | 0.0559405442274414 |
| 101 | 12.1 | 12.0199688534855 | 0.0800311465144876 |
| 102 | 12.21 | 12.1049221757377 | 0.105077824262318 |
| 103 | 12.31 | 12.2102389180045 | 0.0997610819954655 |
| 104 | 12.31 | 12.3143792710279 | -0.00437927102785629 |
| 105 | 12.39 | 12.3449995968156 | 0.0450004031844315 |
| 106 | 12.35 | 12.4115868714899 | -0.0615868714898973 |
| 107 | 12.41 | 12.4014548076672 | 0.00854519233282858 |
| 108 | 12.51 | 12.440978154698 | 0.0690218453019824 |
| 109 | 12.27 | 12.5249097091094 | -0.254909709109416 |
| 110 | 12.51 | 12.3739359886395 | 0.136064011360487 |
| 111 | 12.44 | 12.5020614641742 | -0.0620614641741515 |
| 112 | 12.47 | 12.4889313057057 | -0.0189313057057117 |
| 113 | 12.51 | 12.5057150748806 | 0.0042849251193573 |
| 114 | 12.58 | 12.5389740997253 | 0.0410259002747466 |
| 115 | 12.5 | 12.5991887805992 | -0.0991887805992437 |
| 116 | 12.52 | 12.5580114327253 | -0.0380114327252965 |
| 117 | 12.59 | 12.5589774522863 | 0.0310225477136719 |
| 118 | 12.51 | 12.609404205357 | -0.0994042053570201 |
| 119 | 12.67 | 12.5653327575888 | 0.104667242411244 |
| 120 | 12.64 | 12.6678063318389 | -0.0278063318389048 |
| 121 | 12.54 | 12.6761843417762 | -0.136184341776199 |
| 122 | 12.6 | 12.6046580203779 | -0.00465802037789054 |
| 123 | 12.67 | 12.6257227984329 | 0.0442772015670876 |
| 124 | 12.62 | 12.6824225965657 | -0.0624225965657175 |
| 125 | 12.72 | 12.6623021993469 | 0.0576978006531359 |
| 126 | 12.85 | 12.7283402194857 | 0.121659780514303 |
| 127 | 12.85 | 12.842599934596 | 0.00740006540400451 |
| 128 | 12.82 | 12.8765102272719 | -0.0565102272719287 |
| 129 | 12.79 | 12.8639144686885 | -0.0739144686885407 |
| 130 | 12.94 | 12.8371455681393 | 0.102854431860669 |
| 131 | 12.71 | 12.9376297617485 | -0.227629761748476 |
| 132 | 12.56 | 12.7992929444851 | -0.239292944485145 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 133 | 12.6465672009576 | 12.4998714255451 | 12.7932629763701 |
| 134 | 12.6625158784446 | 12.4808341157221 | 12.8441976411671 |
| 135 | 12.6784645559316 | 12.4655755882841 | 12.891353523579 |
| 136 | 12.6944132334185 | 12.4525690853358 | 12.9362573815013 |
| 137 | 12.7103619109055 | 12.4410340555478 | 12.9796897662633 |
| 138 | 12.7263105883925 | 12.4305116529769 | 13.0221095238082 |
| 139 | 12.7422592658795 | 12.4207071953775 | 13.0638113363815 |
| 140 | 12.7582079433665 | 12.4114194520021 | 13.1049964347309 |
| 141 | 12.7741566208535 | 12.4025046683401 | 13.1458085733669 |
| 142 | 12.7901052983405 | 12.3938565447088 | 13.1863540519721 |
| 143 | 12.8060539758274 | 12.3853943116051 | 13.2267136400498 |
| 144 | 12.8220026533144 | 12.3770552391496 | 13.2669500674793 |
