| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.425790716300877 |
| beta | 0.363870669843029 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 335 | 339.209935897436 | -4.20993589743597 |
| 14 | 333 | 334.806502608272 | -1.80650260827230 |
| 15 | 325 | 324.938209144871 | 0.0617908551285495 |
| 16 | 322 | 320.583324454150 | 1.41667554584967 |
| 17 | 322 | 320.358159862373 | 1.64184013762673 |
| 18 | 315 | 313.941576409508 | 1.05842359049183 |
| 19 | 321 | 321.482230754681 | -0.482230754680756 |
| 20 | 324 | 322.375508777506 | 1.62449122249444 |
| 21 | 329 | 323.750829690946 | 5.24917030905351 |
| 22 | 332 | 326.8161070501 | 5.18389294990004 |
| 23 | 322 | 331.615078055855 | -9.61507805585484 |
| 24 | 324 | 329.789760748242 | -5.78976074824214 |
| 25 | 324 | 324.320486854873 | -0.320486854872513 |
| 26 | 323 | 322.677783082907 | 0.322216917093328 |
| 27 | 309 | 314.84304297509 | -5.84304297508993 |
| 28 | 306 | 307.891442956403 | -1.89144295640341 |
| 29 | 305 | 305.013988640078 | -0.0139886400780824 |
| 30 | 300 | 295.927808180149 | 4.07219181985096 |
| 31 | 301 | 302.704413151532 | -1.70441315153158 |
| 32 | 302 | 302.935014611054 | -0.9350146110541 |
| 33 | 308 | 303.553312836117 | 4.44668716388315 |
| 34 | 311 | 304.36655328532 | 6.6334467146803 |
| 35 | 301 | 299.636743470712 | 1.36325652928838 |
| 36 | 301 | 304.735054607852 | -3.73505460785196 |
| 37 | 308 | 303.652127424533 | 4.34787257546719 |
| 38 | 302 | 305.460460076224 | -3.46046007622425 |
| 39 | 290 | 292.983127039846 | -2.98312703984573 |
| 40 | 286 | 290.469578026084 | -4.46957802608426 |
| 41 | 286 | 288.124271799629 | -2.12427179962901 |
| 42 | 275 | 280.710765506471 | -5.71076550647092 |
| 43 | 284 | 278.714087744871 | 5.28591225512861 |
| 44 | 289 | 282.155120889334 | 6.84487911066577 |
| 45 | 292 | 290.173829347784 | 1.82617065221626 |
| 46 | 293 | 291.718512583457 | 1.28148741654326 |
| 47 | 285 | 281.446079019310 | 3.55392098068967 |
| 48 | 280 | 284.651445795886 | -4.65144579588645 |
| 49 | 281 | 287.779429210232 | -6.77942921023185 |
| 50 | 280 | 278.602069094359 | 1.39793090564052 |
| 51 | 265 | 267.456032914917 | -2.45603291491665 |
| 52 | 260 | 263.383595893844 | -3.38359589384396 |
| 53 | 254 | 262.085855751076 | -8.08585575107566 |
| 54 | 238 | 248.389388125156 | -10.3893881251562 |
| 55 | 247 | 248.304942615335 | -1.30494261533491 |
| 56 | 246 | 246.403636761513 | -0.403636761513155 |
| 57 | 247 | 243.899985521873 | 3.10001447812749 |
| 58 | 237 | 241.317437649337 | -4.31743764933694 |
| 59 | 222 | 224.741569532141 | -2.74156953214072 |
| 60 | 216 | 214.355082749067 | 1.64491725093265 |
| 61 | 212 | 213.717909759370 | -1.71790975937031 |
| 62 | 209 | 206.951227370634 | 2.04877262936591 |
| 63 | 185 | 189.530182090152 | -4.53018209015232 |
| 64 | 186 | 179.381473030177 | 6.61852696982254 |
| 65 | 178 | 176.531615812169 | 1.46838418783119 |
| 66 | 158 | 163.949963007569 | -5.94996300756875 |
| 67 | 166 | 170.029386631934 | -4.02938663193359 |
| 68 | 162 | 166.120700569582 | -4.12070056958191 |
| 69 | 164 | 162.105416779885 | 1.89458322011507 |
| 70 | 147 | 152.622906454696 | -5.62290645469568 |
| 71 | 132 | 134.066268925498 | -2.06626892549755 |
| 72 | 124 | 124.260915470264 | -0.260915470263527 |
| 73 | 117 | 118.360849366878 | -1.36084936687803 |
| 74 | 120 | 111.443943579042 | 8.55605642095763 |
| 75 | 89 | 91.5590134460137 | -2.55901344601374 |
| 76 | 81 | 87.4997715210822 | -6.49977152108222 |
| 77 | 71 | 72.9230202749115 | -1.92302027491149 |
| 78 | 52 | 50.9282309558074 | 1.07176904419259 |
| 79 | 63 | 58.4787278140471 | 4.5212721859529 |
| 80 | 62 | 56.8616488247486 | 5.13835117525135 |
| 81 | 74 | 60.380594725166 | 13.6194052748341 |
| 82 | 67 | 53.5281310002238 | 13.4718689997762 |
| 83 | 53 | 50.0568705898708 | 2.94312941012920 |
| 84 | 42 | 49.1099877427967 | -7.10998774279665 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 85 | 44.2897769601149 | 34.9458582215404 | 53.6336956986894 |
| 86 | 48.4852466714755 | 37.6800247410051 | 59.2904686019458 |
| 87 | 22.0877965657938 | 9.28141196085352 | 34.8941811707341 |
| 88 | 20.7647596622114 | 5.49215792783671 | 36.0373613965860 |
| 89 | 16.5000120638199 | -1.62982526372303 | 34.6298493913629 |
| 90 | 2.25804980163866 | -19.0612125989142 | 23.5773122021915 |
| 91 | 16.3812689970839 | -8.415984003463 | 41.1785219976307 |
| 92 | 17.5412485401361 | -10.9905052094429 | 46.0730022897152 |
| 93 | 27.2939750888902 | -5.20485789875764 | 59.792808076538 |
| 94 | 15.9994292583403 | -20.6807401287453 | 52.6795986454259 |
| 95 | 0.100689245155060 | -40.9606619678816 | 41.1620404581917 |
| 96 | -8.9735139568271 | -54.604259144465 | 36.6572312308108 |
