| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.0339940381487946 |
| gamma | 0 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 3.27 | 3.27 | 0 |
| 4 | 3.27 | 3.27 | 0 |
| 5 | 3.27 | 3.27 | 0 |
| 6 | 3.28 | 3.27 | 0.00999999999999979 |
| 7 | 3.32 | 3.28033994038149 | 0.0396600596185119 |
| 8 | 3.34 | 3.32168814596114 | 0.0183118540388567 |
| 9 | 3.34 | 3.34231063982591 | -0.00231063982591495 |
| 10 | 3.35 | 3.34223209184752 | 0.0077679081524753 |
| 11 | 3.35 | 3.35249615441360 | -0.00249615441359641 |
| 12 | 3.35 | 3.35241130004524 | -0.00241130004523527 |
| 13 | 3.35 | 3.35232933021951 | -0.00232933021950954 |
| 14 | 3.35 | 3.35225014687917 | -0.00225014687916625 |
| 15 | 3.4 | 3.35217365530032 | 0.0478263446996841 |
| 16 | 3.42 | 3.40379946588655 | 0.0162005341134459 |
| 17 | 3.42 | 3.42435018746124 | -0.00435018746123728 |
| 18 | 3.42 | 3.42420230702273 | -0.00420230702272573 |
| 19 | 3.42 | 3.42405945363748 | -0.00405945363748206 |
| 20 | 3.42 | 3.42392145641567 | -0.00392145641566621 |
| 21 | 3.42 | 3.42378815027667 | -0.00378815027667345 |
| 22 | 3.42 | 3.42365937575165 | -0.00365937575165454 |
| 23 | 3.42 | 3.42353497879275 | -0.00353497879275233 |
| 24 | 3.42 | 3.42341481058882 | -0.00341481058881632 |
| 25 | 3.42 | 3.42329872738739 | -0.00329872738738901 |
| 26 | 3.42 | 3.42318659032274 | -0.00318659032273949 |
| 27 | 3.43 | 3.42307826524974 | 0.00692173475025637 |
| 28 | 3.47 | 3.4333135629649 | 0.0366864370351001 |
| 29 | 3.51 | 3.47456068310501 | 0.0354393168949851 |
| 30 | 3.52 | 3.51576540859551 | 0.00423459140449056 |
| 31 | 3.52 | 3.52590935945726 | -0.00590935945725857 |
| 32 | 3.52 | 3.52570847646643 | -0.00570847646643369 |
| 33 | 3.52 | 3.52551442229966 | -0.00551442229966215 |
| 34 | 3.52 | 3.52532696481764 | -0.00532696481763884 |
| 35 | 3.52 | 3.52514587977241 | -0.00514587977241066 |
| 36 | 3.52 | 3.52497095053912 | -0.00497095053911822 |
| 37 | 3.52 | 3.52480196785686 | -0.00480196785685605 |
| 38 | 3.52 | 3.52463872957834 | -0.00463872957834077 |
| 39 | 3.58 | 3.52448104042809 | 0.0555189595719074 |
| 40 | 3.6 | 3.58636835405776 | 0.0136316459422385 |
| 41 | 3.61 | 3.60683174874995 | 0.00316825125004705 |
| 42 | 3.61 | 3.61693945040381 | -0.00693945040381161 |
| 43 | 3.61 | 3.61670355046205 | -0.00670355046205273 |
| 44 | 3.63 | 3.61647566971191 | 0.0135243302880865 |
| 45 | 3.68 | 3.63693541631166 | 0.0430645836883365 |
| 46 | 3.69 | 3.68839935541243 | 0.00160064458757292 |
| 47 | 3.69 | 3.6984537677856 | -0.00845376778559936 |
| 48 | 3.69 | 3.69816639008099 | -0.00816639008099473 |
| 49 | 3.69 | 3.69788878150504 | -0.00788878150504368 |
| 50 | 3.69 | 3.69762060996561 | -0.00762060996561376 |
| 51 | 3.69 | 3.69736155465973 | -0.00736155465972521 |
| 52 | 3.69 | 3.69711130568979 | -0.00711130568978824 |
| 53 | 3.69 | 3.69686956369288 | -0.00686956369288172 |
| 54 | 3.78 | 3.69663603948264 | 0.0833639605173593 |
| 55 | 3.79 | 3.7894699171367 | 0.00053008286329792 |
| 56 | 3.79 | 3.79948793679378 | -0.00948793679377902 |
| 57 | 3.8 | 3.79916540350846 | 0.000834596491541717 |
| 58 | 3.8 | 3.80919377481343 | -0.00919377481343053 |
| 59 | 3.8 | 3.80888124128169 | -0.00888124128169121 |
| 60 | 3.8 | 3.80857933202675 | -0.00857933202675287 |
| 61 | 3.81 | 3.80828768588654 | 0.00171231411345607 |
| 62 | 3.95 | 3.81834589435784 | 0.131654105642161 |
| 63 | 3.99 | 3.96282134904749 | 0.0271786509525151 |
| 64 | 4 | 4.0037452611448 | -0.00374526114479767 |
| 65 | 4.06 | 4.01361794459456 | 0.0463820554054362 |
| 66 | 4.16 | 4.07519465795544 | 0.0848053420445645 |
| 67 | 4.19 | 4.17807753398812 | 0.0119224660118800 |
| 68 | 4.2 | 4.20848282675256 | -0.00848282675255607 |
| 69 | 4.2 | 4.21819446121632 | -0.0181944612163196 |
| 70 | 4.2 | 4.21757595800764 | -0.0175759580076358 |
| 71 | 4.2 | 4.21697848022062 | -0.0169784802206223 |
| 72 | 4.2 | 4.21640131311629 | -0.0164013131162939 |
| 73 | 4.23 | 4.21584376625253 | 0.0141562337474719 |
| 74 | 4.38 | 4.24632499380258 | 0.133675006197416 |
| 75 | 4.43 | 4.4008691470628 | 0.0291308529372012 |
| 76 | 4.44 | 4.45185942238885 | -0.0118594223888522 |
| 77 | 4.44 | 4.46145627273174 | -0.0214562727317436 |
| 78 | 4.44 | 4.46072688737797 | -0.0207268873779691 |
| 79 | 4.44 | 4.46002229677774 | -0.0200222967777366 |
| 80 | 4.44 | 4.45934165805725 | -0.0193416580572485 |
| 81 | 4.45 | 4.45868415699539 | -0.00868415699538971 |
| 82 | 4.45 | 4.4683889474312 | -0.0183889474311973 |
| 83 | 4.45 | 4.46776383285071 | -0.0177638328507053 |
| 84 | 4.45 | 4.46715996843911 | -0.0171599684391097 |
| 85 | 4.45 | 4.46657663181736 | -0.0165766318173581 |
| 86 | 4.45 | 4.46601312516298 | -0.0160131251629805 |
| 87 | 4.45 | 4.46546877437531 | -0.0154687743753090 |
| 88 | 4.45 | 4.46494292826908 | -0.0149429282690798 |
| 89 | 4.46 | 4.46443495779545 | -0.00443495779544634 |
| 90 | 4.46 | 4.47428419567096 | -0.0142841956709594 |
| 91 | 4.46 | 4.4737986181784 | -0.013798618178396 |
| 92 | 4.48 | 4.47332954742564 | 0.00667045257436172 |
| 93 | 4.58 | 4.49355630304492 | 0.0864436969550786 |
| 94 | 4.67 | 4.59649487337694 | 0.0735051266230649 |
| 95 | 4.68 | 4.68899360945549 | -0.00899360945549166 |
| 96 | 4.68 | 4.69868788035257 | -0.0186878803525659 |
| 97 | 4.69 | 4.69805260383494 | -0.00805260383494044 |
| 98 | 4.69 | 4.70777886331298 | -0.0177788633129792 |
| 99 | 4.69 | 4.70717448795528 | -0.0171744879552751 |
| 100 | 4.69 | 4.70659065775654 | -0.0165906577565371 |
| 101 | 4.69 | 4.70602667430385 | -0.0160266743038484 |
| 102 | 4.69 | 4.70548186292616 | -0.0154818629261646 |
| 103 | 4.69 | 4.70495557188724 | -0.0149555718872385 |
| 104 | 4.73 | 4.70444717160597 | 0.0255528283940336 |
| 105 | 4.78 | 4.7453158154292 | 0.0346841845707972 |
| 106 | 4.79 | 4.79649487092266 | -0.00649487092266288 |
| 107 | 4.79 | 4.80627408403275 | -0.0162740840327462 |
| 108 | 4.8 | 4.8057208621993 | -0.00572086219930057 |
| 109 | 4.8 | 4.81552638699145 | -0.0155263869914535 |
| 110 | 4.81 | 4.81499858239975 | -0.00499858239975293 |
| 111 | 5.16 | 4.82482866039896 | 0.335171339601035 |
| 112 | 5.26 | 5.18622248770375 | 0.073777512296254 |
| 113 | 5.29 | 5.28873048327127 | 0.00126951672873243 |
| 114 | 5.29 | 5.31877363927137 | -0.0287736392713747 |
| 115 | 5.29 | 5.3177955070803 | -0.0277955070803042 |
| 116 | 5.3 | 5.31685062555225 | -0.0168506255522516 |
| 117 | 5.3 | 5.3262778047444 | -0.0262778047443968 |
| 118 | 5.3 | 5.32538451604745 | -0.0253845160474491 |
| 119 | 5.3 | 5.32452159384054 | -0.0245215938405439 |
| 120 | 5.3 | 5.32368800584406 | -0.0236880058440585 |
| 121 | 5.3 | 5.32288275486973 | -0.0228827548697268 |
| 122 | 5.3 | 5.32210487762774 | -0.0221048776277364 |
| 123 | 5.3 | 5.32135344357438 | -0.0213534435743847 |
| 124 | 5.35 | 5.32062755379891 | 0.0293724462010916 |
| 125 | 5.44 | 5.37162604185559 | 0.0683739581444085 |
| 126 | 5.47 | 5.46395034879714 | 0.00604965120286227 |
| 127 | 5.47 | 5.49415600087091 | -0.0241560008709136 |
| 128 | 5.48 | 5.49333484085579 | -0.0133348408557854 |
| 129 | 5.48 | 5.50288153576703 | -0.0228815357670262 |
| 130 | 5.48 | 5.50210369996726 | -0.0221036999672588 |
| 131 | 5.48 | 5.50135230594734 | -0.0213523059473424 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 132 | 5.5006264548444 | 5.41958471087874 | 5.58166819881007 |
| 133 | 5.52125290968881 | 5.40467826467087 | 5.63782755470675 |
| 134 | 5.54187936453321 | 5.39668697446261 | 5.68707175460381 |
| 135 | 5.56250581937762 | 5.39204617479483 | 5.7329654639604 |
| 136 | 5.58313227422202 | 5.3894009961642 | 5.77686355227984 |
| 137 | 5.60375872906642 | 5.38806922426724 | 5.8194482338656 |
| 138 | 5.62438518391083 | 5.38765298727227 | 5.86111738054938 |
| 139 | 5.64501163875523 | 5.38789785309109 | 5.90212542441937 |
| 140 | 5.66563809359963 | 5.38863044138325 | 5.94264574581601 |
| 141 | 5.68626454844404 | 5.38972697224972 | 5.98280212463835 |
| 142 | 5.70689100328844 | 5.39109587626607 | 6.02268613031081 |
| 143 | 5.72751745813285 | 5.39266748695128 | 6.06236742931441 |
