| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 1 |
| beta | 0.0321252473275465 |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 3 | 7.09 | 7.08 | 0.00999999999999979 |
| 4 | 7.07 | 7.09032125247328 | -0.0203212524732752 |
| 5 | 7.06 | 7.06966842721157 | -0.00966842721156702 |
| 6 | 6.99 | 7.05935782659613 | -0.069357826596125 |
| 7 | 6.99 | 6.98712968926262 | 0.00287031073737598 |
| 8 | 6.99 | 6.98722189870497 | 0.00277810129503031 |
| 9 | 6.98 | 6.98731114589617 | -0.00731114589617299 |
| 10 | 6.96 | 6.97707627352601 | -0.017076273526011 |
| 11 | 6.95 | 6.95652769401555 | -0.00652769401555453 |
| 12 | 6.91 | 6.94631799023083 | -0.0363179902308266 |
| 13 | 6.91 | 6.90515126581222 | 0.00484873418777809 |
| 14 | 6.87 | 6.90530703259723 | -0.0353070325972302 |
| 15 | 6.91 | 6.86417278544264 | 0.0458272145573577 |
| 16 | 6.89 | 6.90564499604463 | -0.0156449960446308 |
| 17 | 6.88 | 6.88514239667726 | -0.00514239667725747 |
| 18 | 6.9 | 6.87497719591214 | 0.0250228040878557 |
| 19 | 6.91 | 6.8957810596823 | 0.0142189403177042 |
| 20 | 6.85 | 6.90623784665674 | -0.0562378466567379 |
| 21 | 6.86 | 6.84443119192372 | 0.0155688080762797 |
| 22 | 6.82 | 6.85493134373377 | -0.0349313437337671 |
| 23 | 6.8 | 6.81380916567684 | -0.013809165676836 |
| 24 | 6.83 | 6.79336554281408 | 0.0366344571859196 |
| 25 | 6.84 | 6.82454243381189 | 0.0154575661881111 |
| 26 | 6.89 | 6.83503901194876 | 0.0549609880512367 |
| 27 | 7.14 | 6.88680464728328 | 0.253195352716724 |
| 28 | 7.21 | 7.14493861061149 | 0.0650613893885144 |
| 29 | 7.25 | 7.21702872383707 | 0.0329712761629342 |
| 30 | 7.31 | 7.2580879342385 | 0.0519120657614947 |
| 31 | 7.3 | 7.31975562219038 | -0.0197556221903765 |
| 32 | 7.48 | 7.3091209679414 | 0.1708790320586 |
| 33 | 7.49 | 7.49461049910938 | -0.00461049910937561 |
| 34 | 7.4 | 7.50446238568518 | -0.104462385685183 |
| 35 | 7.44 | 7.41110650570862 | 0.0288934942913786 |
| 36 | 7.42 | 7.45203471635889 | -0.032034716358889 |
| 37 | 7.14 | 7.43100559317279 | -0.291005593172792 |
| 38 | 7.24 | 7.14165696651842 | 0.0983430334815836 |
| 39 | 7.33 | 7.24481626079195 | 0.0851837392080466 |
| 40 | 7.61 | 7.3375528094823 | 0.272447190517703 |
| 41 | 7.66 | 7.62630524286137 | 0.0336947571386261 |
| 42 | 7.69 | 7.67738769526809 | 0.0126123047319062 |
| 43 | 7.7 | 7.70779286867698 | -0.00779286867697682 |
| 44 | 7.68 | 7.71754252084334 | -0.0375425208433384 |
| 45 | 7.71 | 7.69633645807595 | 0.0136635419240543 |
| 46 | 7.71 | 7.72677540273963 | -0.0167754027396265 |
| 47 | 7.72 | 7.7262364887776 | -0.00623648877759653 |
| 48 | 7.68 | 7.73603614003316 | -0.0560361400331608 |
| 49 | 7.72 | 7.69423596517531 | 0.0257640348246859 |
| 50 | 7.74 | 7.73506364116621 | 0.0049363588337874 |
| 51 | 7.76 | 7.75522222291465 | 0.00477777708535321 |
| 52 | 7.9 | 7.77537571018519 | 0.124624289814812 |
| 53 | 7.97 | 7.91937929631851 | 0.0506207036814894 |
| 54 | 7.96 | 7.99100549894417 | -0.0310054989441717 |
| 55 | 7.95 | 7.98000943962208 | -0.0300094396220763 |
| 56 | 7.97 | 7.96904537895206 | 0.00095462104794386 |
| 57 | 7.93 | 7.98907604638933 | -0.0590760463893254 |
| 58 | 7.99 | 7.94717821378793 | 0.0428217862120661 |
| 59 | 7.96 | 8.008553874261 | -0.0485538742610041 |
| 60 | 7.92 | 7.97699406904166 | -0.056994069041659 |
| 61 | 7.97 | 7.93516312047749 | 0.0348368795225076 |
| 62 | 7.98 | 7.98628226384827 | -0.00628226384827268 |
| 63 | 8 | 7.99608044456837 | 0.00391955543162936 |
| 64 | 8.04 | 8.01620636125603 | 0.0237936387439728 |
| 65 | 8.17 | 8.0569707377855 | 0.113029262214503 |
| 66 | 8.29 | 8.19060183078939 | 0.0993981692106107 |
| 67 | 8.26 | 8.31379502155918 | -0.0537950215591838 |
| 68 | 8.3 | 8.28206684318661 | 0.0179331568133954 |
| 69 | 8.32 | 8.3226429502846 | -0.00264295028459927 |
| 70 | 8.28 | 8.34255804485303 | -0.0625580448530343 |
| 71 | 8.27 | 8.3005483521898 | -0.0305483521898005 |
| 72 | 8.32 | 8.28956697882025 | 0.0304330211797463 |
| 73 | 8.31 | 8.34054464715258 | -0.0305446471525777 |
| 74 | 8.34 | 8.32956339280827 | 0.0104366071917301 |
| 75 | 8.32 | 8.35989867139556 | -0.039898671395564 |
| 76 | 8.36 | 8.33861691670894 | 0.0213830832910578 |
| 77 | 8.33 | 8.37930385354829 | -0.0493038535482917 |
| 78 | 8.35 | 8.34771995505885 | 0.00228004494114842 |
| 79 | 8.34 | 8.3677932020665 | -0.0277932020665048 |
| 80 | 8.37 | 8.35690033857609 | 0.0130996614239063 |
| 81 | 8.31 | 8.38732116843924 | -0.0773211684392425 |
| 82 | 8.33 | 8.32483720677948 | 0.00516279322052249 |
| 83 | 8.34 | 8.34500306278859 | -0.00500306278858886 |
| 84 | 8.25 | 8.35484233815911 | -0.104842338159109 |
| 85 | 8.27 | 8.26147425211535 | 0.00852574788464899 |
| 86 | 8.31 | 8.2817481438748 | 0.0282518561252036 |
| 87 | 8.25 | 8.32265574174028 | -0.0726557417402809 |
| 88 | 8.3 | 8.26032165806711 | 0.039678341932893 |
| 89 | 8.3 | 8.31159633461525 | -0.0115963346152483 |
| 90 | 8.35 | 8.31122379949764 | 0.0387762005023582 |
| 91 | 8.78 | 8.3624694945292 | 0.417530505470797 |
| 92 | 8.9 | 8.80588276528425 | 0.0941172347157533 |
| 93 | 8.9 | 8.92890630472728 | -0.0289063047272755 |
| 94 | 8.9 | 8.92797768253859 | -0.0279776825385856 |
| 95 | 9 | 8.92707889256738 | 0.0729211074326166 |
| 96 | 9.05 | 9.02942150117905 | 0.0205784988209476 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 97 | 9.08008259054331 | 8.9230559143047 | 9.23710926678191 |
| 98 | 9.11016518108661 | 8.88450071785925 | 9.33582964431398 |
| 99 | 9.14024777162992 | 8.85944158736774 | 9.4210539558921 |
| 100 | 9.17033036217323 | 8.84095024604667 | 9.49971047829978 |
| 101 | 9.20041295271653 | 8.82639050996329 | 9.57443539546977 |
| 102 | 9.23049554325984 | 8.81443354325145 | 9.64655754326823 |
| 103 | 9.26057813380315 | 8.80430348429519 | 9.7168527833111 |
| 104 | 9.29066072434645 | 8.79550359185069 | 9.78581785684222 |
| 105 | 9.32074331488976 | 8.78769493766227 | 9.85379169211724 |
| 106 | 9.35082590543307 | 8.78063522682254 | 9.92101658404359 |
| 107 | 9.38090849597637 | 8.77414495655573 | 9.98767203539701 |
| 108 | 9.41099108651968 | 8.76808734937616 | 10.0538948236632 |
