| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.0482511366093053 |
| beta | FALSE |
| gamma | FALSE |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 2 | 25 | 24 | 1 |
| 3 | 30 | 24.0482511366093 | 5.9517488633907 |
| 4 | 19 | 24.3354297840810 | -5.33542978408105 |
| 5 | 22 | 24.0779892327 | -2.07798923269999 |
| 6 | 22 | 23.9777238903603 | -1.97772389036032 |
| 7 | 25 | 23.8822964647511 | 1.11770353524894 |
| 8 | 23 | 23.9362269307191 | -0.936226930719062 |
| 9 | 17 | 23.8910529171876 | -6.89105291718763 |
| 10 | 21 | 23.5585517814985 | -2.55855178149845 |
| 11 | 19 | 23.4350987499674 | -4.43509874996739 |
| 12 | 19 | 23.2211001943070 | -4.22110019430695 |
| 13 | 15 | 23.0174273121899 | -8.01742731218988 |
| 14 | 16 | 22.6305773316942 | -6.63057733169423 |
| 15 | 23 | 22.3106444390641 | 0.689355560935908 |
| 16 | 27 | 22.3439066284072 | 4.65609337159281 |
| 17 | 22 | 22.5685684257456 | -0.568568425745596 |
| 18 | 14 | 22.5411343529632 | -8.54113435296321 |
| 19 | 22 | 22.1290149125000 | -0.129014912499951 |
| 20 | 23 | 22.1227897963323 | 0.877210203667723 |
| 21 | 23 | 22.1651161857045 | 0.834883814295473 |
| 22 | 21 | 22.205400278681 | -1.20540027868100 |
| 23 | 19 | 22.1472383451655 | -3.14723834516547 |
| 24 | 18 | 21.9953805178308 | -3.99538051783084 |
| 25 | 20 | 21.8025988666588 | -1.80259886665883 |
| 26 | 23 | 21.7156214224919 | 1.28437857750811 |
| 27 | 25 | 21.7775941486933 | 3.22240585130670 |
| 28 | 19 | 21.9330788936353 | -2.93307889363533 |
| 29 | 24 | 21.7915545032527 | 2.20844549674734 |
| 30 | 22 | 21.8981145086104 | 0.101885491389581 |
| 31 | 25 | 21.9030305993740 | 3.09696940062604 |
| 32 | 26 | 22.0524628929984 | 3.94753710700159 |
| 33 | 29 | 22.2429360452186 | 6.75706395478135 |
| 34 | 32 | 22.5689720611786 | 9.43102793882139 |
| 35 | 25 | 23.0240298786209 | 1.97597012137914 |
| 36 | 29 | 23.1193726828834 | 5.88062731711657 |
| 37 | 28 | 23.4031196349100 | 4.59688036508997 |
| 38 | 17 | 23.6249243373826 | -6.62492433738262 |
| 39 | 28 | 23.3052642081533 | 4.69473579184674 |
| 40 | 29 | 23.5317905461903 | 5.46820945380975 |
| 41 | 26 | 23.7956378675543 | 2.20436213244568 |
| 42 | 25 | 23.9020008459433 | 1.09799915405667 |
| 43 | 14 | 23.9549805531226 | -9.95498055312262 |
| 44 | 25 | 23.4746414265109 | 1.52535857348907 |
| 45 | 26 | 23.5482417114185 | 2.45175828858147 |
| 46 | 20 | 23.6665418355339 | -3.66654183553387 |
| 47 | 18 | 23.4896270245438 | -5.48962702454379 |
| 48 | 32 | 23.2247462810484 | 8.7752537189516 |
| 49 | 25 | 23.6481622470228 | 1.35183775297716 |
| 50 | 25 | 23.7133899551154 | 1.28661004488464 |
| 51 | 23 | 23.775470352154 | -0.775470352153995 |
| 52 | 21 | 23.7380530262557 | -2.73805302625575 |
| 53 | 20 | 23.6059388556424 | -3.60593885564236 |
| 54 | 15 | 23.4319482073140 | -8.43194820731396 |
| 55 | 30 | 23.0250971224803 | 6.97490287751974 |
| 56 | 24 | 23.3616441140601 | 0.638355885939895 |
| 57 | 26 | 23.3924455111179 | 2.60755448888206 |
| 58 | 24 | 23.5182629789772 | 0.481737021022802 |
| 59 | 22 | 23.5415073377883 | -1.54150733778833 |
| 60 | 14 | 23.4671278566485 | -9.46712785664846 |
| 61 | 24 | 23.0103281771396 | 0.989671822860448 |
| 62 | 24 | 23.0580809674628 | 0.941919032537228 |
| 63 | 24 | 23.1035296313766 | 0.896470368623369 |
| 64 | 24 | 23.1467853455993 | 0.853214654400727 |
| 65 | 19 | 23.1879539224458 | -4.18795392244582 |
| 66 | 31 | 22.9858803856204 | 8.01411961437958 |
| 67 | 22 | 23.3725707659372 | -1.37257076593716 |
| 68 | 27 | 23.306342666404 | 3.69365733359601 |
| 69 | 19 | 23.4845658309953 | -4.48456583099529 |
| 70 | 25 | 23.2681804324505 | 1.73181956754949 |
| 71 | 20 | 23.351742694987 | -3.35174269498701 |
| 72 | 21 | 23.1900173003319 | -2.19001730033195 |
| 73 | 27 | 23.0843464763969 | 3.91565352360311 |
| 74 | 23 | 23.2732812094790 | -0.273281209478967 |
| 75 | 25 | 23.2600950805076 | 1.73990491949236 |
| 76 | 20 | 23.3440474704653 | -3.34404747046527 |
| 77 | 21 | 23.1826933791399 | -2.18269337913985 |
| 78 | 22 | 23.0773759427267 | -1.07737594272675 |
| 79 | 23 | 23.0253913289347 | -0.0253913289346634 |
| 80 | 25 | 23.0241661684535 | 1.97583383154645 |
| 81 | 25 | 23.1195023965768 | 1.88049760342322 |
| 82 | 17 | 23.2102385433330 | -6.21023854333303 |
| 83 | 19 | 22.9105874750023 | -3.91058747500229 |
| 84 | 25 | 22.7218971845233 | 2.27810281547668 |
| 85 | 19 | 22.8318182346829 | -3.83181823468293 |
| 86 | 20 | 22.6469286495792 | -2.64692864957922 |
| 87 | 26 | 22.5192113337133 | 3.48078866628672 |
| 88 | 23 | 22.6871633431584 | 0.312836656841597 |
| 89 | 27 | 22.7022580674241 | 4.29774193257593 |
| 90 | 17 | 22.9096290005243 | -5.90962900052433 |
| 91 | 17 | 22.6244826843097 | -5.62448268430971 |
| 92 | 19 | 22.3530950019524 | -3.35309500195241 |
| 93 | 17 | 22.1913043569492 | -5.19130435694922 |
| 94 | 22 | 21.9408180212416 | 0.0591819787584171 |
| 95 | 21 | 21.9436736189835 | -0.943673618983464 |
| 96 | 32 | 21.8981402942793 | 10.1018597057207 |
| 97 | 21 | 22.3855665069481 | -1.38556650694806 |
| 98 | 21 | 22.3187113481400 | -1.31871134814003 |
| 99 | 18 | 22.2550820267327 | -4.25508202673268 |
| 100 | 18 | 22.049769482577 | -4.04976948257701 |
| 101 | 23 | 21.854363502037 | 1.14563649796301 |
| 102 | 19 | 21.9096417652048 | -2.90964176520481 |
| 103 | 20 | 21.7692482429078 | -1.76924824290777 |
| 104 | 21 | 21.6838800042435 | -0.683880004243452 |
| 105 | 20 | 21.6508820167343 | -1.65088201673433 |
| 106 | 17 | 21.5712250830190 | -4.57122508301903 |
| 107 | 18 | 21.3506582770664 | -3.3506582770664 |
| 108 | 19 | 21.1889852068086 | -2.18898520680857 |
| 109 | 22 | 21.0833641825591 | 0.916635817440902 |
| 110 | 15 | 21.1275929026074 | -6.12759290260742 |
| 111 | 14 | 20.8319295803775 | -6.8319295803775 |
| 112 | 18 | 20.5022812128896 | -2.50228121288955 |
| 113 | 24 | 20.3815433002515 | 3.61845669974848 |
| 114 | 35 | 20.5561379487859 | 14.4438620512141 |
| 115 | 29 | 21.2530707097850 | 7.74692929021497 |
| 116 | 21 | 21.6268688532698 | -0.626868853269823 |
| 117 | 25 | 21.5966217185946 | 3.40337828140542 |
| 118 | 20 | 21.7608385889838 | -1.76083858898382 |
| 119 | 22 | 21.6758761256798 | 0.324123874320179 |
| 120 | 13 | 21.691515471018 | -8.69151547101798 |
| 121 | 26 | 21.272139970684 | 4.72786002931599 |
| 122 | 17 | 21.5002645908282 | -4.50026459082821 |
| 123 | 25 | 21.2831217092781 | 3.71687829072187 |
| 124 | 20 | 21.4624653114439 | -1.46246531144392 |
| 125 | 19 | 21.3918996979151 | -2.39189969791506 |
| 126 | 21 | 21.2764878188352 | -0.276487818835207 |
| 127 | 22 | 21.2631469673178 | 0.73685303268222 |
| 128 | 24 | 21.2987009636587 | 2.70129903634129 |
| 129 | 21 | 21.4290417124838 | -0.429041712483798 |
| 130 | 26 | 21.4083399622037 | 4.59166003779635 |
| 131 | 24 | 21.6298927779509 | 2.37010722204915 |
| 132 | 16 | 21.7442531453006 | -5.74425314530065 |
| 133 | 23 | 21.4670864020683 | 1.53291359793169 |
| 134 | 18 | 21.5410512254924 | -3.54105122549237 |
| 135 | 16 | 21.3701914790706 | -5.37019147907059 |
| 136 | 26 | 21.1110736363958 | 4.88892636360417 |
| 137 | 19 | 21.3469698902389 | -2.34696989023892 |
| 138 | 21 | 21.2337259254471 | -0.233725925447079 |
| 139 | 21 | 21.2224483838892 | -0.222448383889194 |
| 140 | 22 | 21.2117149965296 | 0.788285003470364 |
| 141 | 23 | 21.2497506439192 | 1.75024935608085 |
| 142 | 29 | 21.3342021646998 | 7.66579783530024 |
| 143 | 21 | 21.7040856232701 | -0.70408562327015 |
| 144 | 21 | 21.6701126916771 | -0.670112691677094 |
| 145 | 23 | 21.6377789926474 | 1.36222100735265 |
| 146 | 27 | 21.7035077045652 | 5.29649229543481 |
| 147 | 25 | 21.9590694778623 | 3.04093052213765 |
| 148 | 21 | 22.1057978319054 | -1.10579783190542 |
| 149 | 10 | 22.0524418296559 | -12.0524418296559 |
| 150 | 20 | 21.4708978124574 | -1.47089781245744 |
| 151 | 26 | 21.3999253211702 | 4.60007467882977 |
| 152 | 24 | 21.6218841529114 | 2.37811584708855 |
| 153 | 29 | 21.7366309455221 | 7.26336905447793 |
| 154 | 19 | 22.0870967580135 | -3.08709675801349 |
| 155 | 24 | 21.9381408306164 | 2.06185916938357 |
| 156 | 19 | 22.0376278790675 | -3.03762787906751 |
| 157 | 24 | 21.8910588813064 | 2.10894111869361 |
| 158 | 22 | 21.9928176873255 | 0.00718231267454428 |
| 159 | 17 | 21.9931642420755 | -4.99316424207549 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 160 | 21.7522383921184 | 13.3975687204359 | 30.1069080638009 |
| 161 | 21.7522383921184 | 13.3878488197791 | 30.1166279644577 |
| 162 | 21.7522383921184 | 13.3781402011018 | 30.126336583135 |
| 163 | 21.7522383921184 | 13.3684428252098 | 30.1360339590270 |
| 164 | 21.7522383921184 | 13.3587566531352 | 30.1457201311016 |
| 165 | 21.7522383921184 | 13.3490816461347 | 30.1553951381022 |
| 166 | 21.7522383921184 | 13.3394177656875 | 30.1650590185493 |
| 167 | 21.7522383921184 | 13.3297649734944 | 30.1747118107425 |
| 168 | 21.7522383921184 | 13.3201232314747 | 30.1843535527621 |
| 169 | 21.7522383921184 | 13.3104925017658 | 30.193984282471 |
| 170 | 21.7522383921184 | 13.3008727467204 | 30.2036040375164 |
| 171 | 21.7522383921184 | 13.2912639289054 | 30.2132128553314 |
