| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.58822905647819 |
| beta | 0.0608846697362494 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 4.8 | 4.54237179487179 | 0.257628205128206 |
| 14 | 4.81 | 4.7081283526343 | 0.101871647365695 |
| 15 | 5.16 | 5.12924615532601 | 0.0307538446739901 |
| 16 | 5.26 | 5.2621318222891 | -0.00213182228909581 |
| 17 | 5.29 | 5.30601350170499 | -0.0160135017049905 |
| 18 | 5.29 | 5.31157273094124 | -0.0215727309412381 |
| 19 | 5.29 | 5.20308925137918 | 0.0869107486208236 |
| 20 | 5.3 | 5.34403153965218 | -0.0440315396521829 |
| 21 | 5.3 | 5.40137281787535 | -0.101372817875351 |
| 22 | 5.3 | 5.36260371064839 | -0.0626037106483883 |
| 23 | 5.3 | 5.32898095457298 | -0.0289809545729849 |
| 24 | 5.3 | 5.32284815285229 | -0.0228481528522897 |
| 25 | 5.3 | 5.41558836564641 | -0.115588365646408 |
| 26 | 5.3 | 5.29066655975239 | 0.00933344024760974 |
| 27 | 5.3 | 5.6177467722998 | -0.317746772299796 |
| 28 | 5.35 | 5.50929195783695 | -0.159291957836946 |
| 29 | 5.44 | 5.42658192275176 | 0.013418077248244 |
| 30 | 5.47 | 5.41978911526611 | 0.0502108847338896 |
| 31 | 5.47 | 5.3733966392619 | 0.0966033607380989 |
| 32 | 5.48 | 5.44166475681743 | 0.0383352431825674 |
| 33 | 5.48 | 5.50233757536608 | -0.0223375753660804 |
| 34 | 5.48 | 5.50734634233604 | -0.0273463423360427 |
| 35 | 5.48 | 5.49089363699153 | -0.0108936369915344 |
| 36 | 5.48 | 5.48115918039497 | -0.00115918039497398 |
| 37 | 5.48 | 5.53248007360592 | -0.0524800736059152 |
| 38 | 5.48 | 5.48239005890207 | -0.00239005890206645 |
| 39 | 5.5 | 5.6537426641618 | -0.153742664161799 |
| 40 | 5.55 | 5.69873120797817 | -0.148731207978171 |
| 41 | 5.57 | 5.68545279904224 | -0.115452799042242 |
| 42 | 5.58 | 5.60549172021043 | -0.0254917202104288 |
| 43 | 5.58 | 5.5184477364384 | 0.0615522635616017 |
| 44 | 5.58 | 5.52562522830998 | 0.054374771690024 |
| 45 | 5.59 | 5.5548446675073 | 0.0351553324926979 |
| 46 | 5.59 | 5.57776403496992 | 0.0122359650300812 |
| 47 | 5.59 | 5.57894121116787 | 0.0110587888321287 |
| 48 | 5.55 | 5.57448605497497 | -0.0244860549749726 |
| 49 | 5.61 | 5.57847539767639 | 0.0315246023236115 |
| 50 | 5.61 | 5.58895598892337 | 0.0210440110766257 |
| 51 | 5.61 | 5.70314086292886 | -0.093140862928859 |
| 52 | 5.63 | 5.77938139299021 | -0.149381392990211 |
| 53 | 5.69 | 5.77294099621653 | -0.0829409962165251 |
| 54 | 5.7 | 5.74382943282059 | -0.0438294328205915 |
| 55 | 5.7 | 5.67586587775518 | 0.0241341222448241 |
| 56 | 5.7 | 5.65076237158623 | 0.0492376284137723 |
| 57 | 5.7 | 5.66154692742388 | 0.0384530725761234 |
| 58 | 5.7 | 5.66958763775232 | 0.03041236224768 |
| 59 | 5.7 | 5.67424198976128 | 0.0257580102387216 |
| 60 | 5.7 | 5.6575934664681 | 0.0424065335318975 |
| 61 | 5.7 | 5.72018669221139 | -0.0201866922113902 |
| 62 | 5.7 | 5.6902737570146 | 0.00972624298540481 |
| 63 | 5.7 | 5.74471800412696 | -0.0447180041269588 |
| 64 | 5.71 | 5.82195309971243 | -0.111953099712433 |
| 65 | 5.74 | 5.86189684838295 | -0.121896848382953 |
| 66 | 5.77 | 5.82158966709623 | -0.0515896670962261 |
| 67 | 5.79 | 5.772383148797 | 0.0176168512030026 |
| 68 | 5.79 | 5.74888589330673 | 0.0411141066932732 |
| 69 | 5.8 | 5.7452632584704 | 0.0547367415296041 |
| 70 | 5.8 | 5.75496681818712 | 0.0450331818128751 |
| 71 | 5.8 | 5.76222391917736 | 0.0377760808226366 |
| 72 | 5.8 | 5.75584945411512 | 0.0441505458848832 |
| 73 | 5.8 | 5.79010624903122 | 0.00989375096878309 |
| 74 | 5.81 | 5.7876938491062 | 0.0223061508938027 |
| 75 | 5.81 | 5.82505901006755 | -0.0150590100675503 |
| 76 | 5.83 | 5.89105674561319 | -0.0610567456131914 |
| 77 | 5.94 | 5.95766928721253 | -0.0176692872125281 |
| 78 | 5.98 | 6.01217968523432 | -0.0321796852343246 |
| 79 | 5.99 | 6.00814051220662 | -0.0181405122066201 |
| 80 | 6 | 5.97725720132872 | 0.0227427986712829 |
| 81 | 6.02 | 5.97175145975026 | 0.0482485402497383 |
| 82 | 6.02 | 5.97672448295593 | 0.0432755170440675 |
| 83 | 6.02 | 5.982978117844 | 0.0370218821560044 |
| 84 | 6.02 | 5.9817765264427 | 0.0382234735573004 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 6.0012203152194 | 5.84912159769775 | 6.15331903274105 |
| 86 | 6.00052427581213 | 5.82123931008082 | 6.17980924154344 |
| 87 | 6.01100863435351 | 5.8055434999317 | 6.21647376877533 |
| 88 | 6.06908952284688 | 5.83797952037115 | 6.30019952532261 |
| 89 | 6.19383534195892 | 5.93733937692852 | 6.45033130698931 |
| 90 | 6.25774940899006 | 5.97595106308273 | 6.53954775489739 |
| 91 | 6.28455771400671 | 5.97742327751749 | 6.59169215049593 |
| 92 | 6.28796695433563 | 5.95538119270907 | 6.62055271596219 |
| 93 | 6.28555846277121 | 5.92734786294322 | 6.6437690625992 |
| 94 | 6.26434726837366 | 5.88029578373874 | 6.64839875300859 |
| 95 | 6.24526476865332 | 5.83512483924419 | 6.65540469806245 |
| 96 | 6.22414955138849 | 5.78765002543119 | 6.66064907734578 |
