| Estimated Parameters of Exponential Smoothing | |
| Parameter | Value |
| alpha | 0.370054769208693 |
| beta | 0.326909085417736 |
| gamma | 1 |
| Interpolation Forecasts of Exponential Smoothing | |||
| t | Observed | Fitted | Residuals |
| 13 | 58 | 58.8875534188034 | -0.887553418803435 |
| 14 | 58 | 58.4961736516680 | -0.496173651668045 |
| 15 | 59 | 58.8146015905362 | 0.185398409463829 |
| 16 | 62 | 61.2410102910503 | 0.758989708949656 |
| 17 | 87 | 86.138164077243 | 0.861835922756953 |
| 18 | 83 | 82.0943032303197 | 0.905696769680318 |
| 19 | 68 | 67.7179059677209 | 0.282094032279119 |
| 20 | 58 | 58.8532009899306 | -0.8532009899306 |
| 21 | 68 | 60.3401593110719 | 7.65984068892813 |
| 22 | 63 | 64.6123862454992 | -1.61238624549921 |
| 23 | 65 | 65.8416574721796 | -0.841657472179648 |
| 24 | 68 | 68.170988328808 | -0.170988328807979 |
| 25 | 62 | 64.2937082696555 | -2.29370826965550 |
| 26 | 69 | 64.1590837589823 | 4.84091624101774 |
| 27 | 74 | 68.0580926163945 | 5.94190738360550 |
| 28 | 72 | 74.8486577497965 | -2.84865774979653 |
| 29 | 94 | 99.911741095756 | -5.91174109575591 |
| 30 | 102 | 94.0056564164047 | 7.99434358359525 |
| 31 | 92 | 83.3338957070902 | 8.6661042929098 |
| 32 | 81 | 79.3450940781803 | 1.65490592181966 |
| 33 | 99 | 89.9148897735373 | 9.0851102264627 |
| 34 | 95 | 91.837920742671 | 3.16207925732904 |
| 35 | 92 | 98.8614814556668 | -6.86148145566678 |
| 36 | 93 | 102.199347618506 | -9.19934761850621 |
| 37 | 85 | 95.365398756152 | -10.3653987561520 |
| 38 | 92 | 97.4832784492366 | -5.48327844923662 |
| 39 | 99 | 97.7514211462646 | 1.24857885373540 |
| 40 | 107 | 96.1959383208125 | 10.8040616791875 |
| 41 | 125 | 124.961643801628 | 0.0383561983715737 |
| 42 | 137 | 131.317244322475 | 5.68275567752482 |
| 43 | 125 | 121.233350885060 | 3.76664911494028 |
| 44 | 115 | 111.442212476216 | 3.55778752378355 |
| 45 | 135 | 128.054401005713 | 6.94559899428674 |
| 46 | 128 | 125.853285384102 | 2.14671461589765 |
| 47 | 120 | 126.462753165306 | -6.46275316530604 |
| 48 | 123 | 128.799620719379 | -5.79962071937931 |
| 49 | 119 | 123.224665849066 | -4.22466584906618 |
| 50 | 128 | 132.168749293474 | -4.16874929347395 |
| 51 | 139 | 138.801393225319 | 0.198606774681167 |
| 52 | 155 | 144.387126505618 | 10.6128734943816 |
| 53 | 164 | 167.787480660072 | -3.78748066007182 |
| 54 | 176 | 177.307350328411 | -1.30735032841122 |
| 55 | 162 | 163.608445481613 | -1.60844548161310 |
| 56 | 155 | 151.225161040959 | 3.77483895904066 |
| 57 | 174 | 169.606568527835 | 4.39343147216474 |
| 58 | 171 | 162.683992582396 | 8.3160074176036 |
| 59 | 162 | 160.145284855324 | 1.85471514467565 |
| 60 | 160 | 166.976349408252 | -6.97634940825168 |
| 61 | 156 | 162.814262955529 | -6.81426295552896 |
| 62 | 163 | 171.378190569990 | -8.3781905699905 |
| 63 | 180 | 179.237984300815 | 0.762015699185383 |
| 64 | 195 | 191.69446386685 | 3.30553613315016 |
| 65 | 203 | 202.537105258370 | 0.462894741629583 |
| 66 | 212 | 214.924215633429 | -2.92421563342899 |
| 67 | 203 | 199.973732264040 | 3.02626773595952 |
| 68 | 184 | 192.793824593662 | -8.79382459366195 |
| 69 | 200 | 205.490437424686 | -5.49043742468552 |
| 70 | 198 | 194.762222709355 | 3.23777729064463 |
| 71 | 195 | 183.040622333976 | 11.9593776660238 |
| 72 | 177 | 186.036873460918 | -9.03687346091812 |
| 73 | 176 | 178.954110472808 | -2.95411047280848 |
| 74 | 180 | 186.168020924693 | -6.16802092469288 |
| 75 | 194 | 199.077605215509 | -5.0776052155093 |
| 76 | 204 | 208.743017317973 | -4.74301731797345 |
| 77 | 206 | 211.610510424352 | -5.61051042435156 |
| 78 | 219 | 215.67567418456 | 3.32432581544012 |
| 79 | 213 | 203.601124673788 | 9.39887532621213 |
| 80 | 196 | 188.919494246069 | 7.08050575393102 |
| 81 | 214 | 209.077891389442 | 4.9221086105577 |
| 82 | 209 | 208.467296009413 | 0.532703990587322 |
| 83 | 213 | 201.677666444361 | 11.322333555639 |
| 84 | 194 | 191.573487679117 | 2.42651232088303 |
| 85 | 197 | 194.313187068830 | 2.68681293117049 |
| 86 | 211 | 204.020941400578 | 6.97905859942239 |
| 87 | 240 | 226.504006476405 | 13.4959935235950 |
| 88 | 251 | 249.521806031691 | 1.47819396830926 |
| 89 | 254 | 261.165987977382 | -7.16598797738231 |
| 90 | 273 | 277.116797650029 | -4.11679765002856 |
| 91 | 271 | 272.047874277667 | -1.04787427766666 |
| 92 | 245 | 256.708756485545 | -11.7087564855445 |
| 93 | 264 | 270.950236334135 | -6.9502363341345 |
| 94 | 264 | 264.140701155495 | -0.140701155495435 |
| 95 | 262 | 264.77684837389 | -2.77684837389018 |
| 96 | 237 | 243.023779628400 | -6.02377962839955 |
| 97 | 237 | 240.950575137248 | -3.95057513724763 |
| 98 | 251 | 248.253250724667 | 2.74674927533331 |
| 99 | 272 | 270.110679787957 | 1.88932021204255 |
| 100 | 282 | 276.693948391564 | 5.30605160843623 |
| 101 | 278 | 280.203487767387 | -2.2034877673874 |
| 102 | 291 | 296.406053680970 | -5.40605368097027 |
| 103 | 293 | 289.131858272017 | 3.8681417279829 |
| 104 | 271 | 265.829444838415 | 5.17055516158536 |
| 105 | 284 | 288.290044970731 | -4.29004497073146 |
| 106 | 290 | 286.051618633582 | 3.94838136641818 |
| 107 | 288 | 286.332053861114 | 1.66794613888607 |
| 108 | 262 | 264.50785130725 | -2.50785130724972 |
| 109 | 263 | 265.796512632208 | -2.79651263220774 |
| 110 | 275 | 278.639588482012 | -3.63958848201156 |
| 111 | 297 | 297.715393283297 | -0.715393283297374 |
| 112 | 301 | 305.293829411977 | -4.29382941197736 |
| 113 | 296 | 299.165650483880 | -3.16565048388048 |
| 114 | 309 | 311.523687410122 | -2.52368741012225 |
| 115 | 310 | 310.036017736218 | -0.0360177362176728 |
| 116 | 292 | 284.514654960632 | 7.48534503936833 |
| 117 | 300 | 300.557578556411 | -0.557578556411499 |
| 118 | 314 | 304.027043345781 | 9.97295665421882 |
| 119 | 310 | 304.966087418331 | 5.03391258166931 |
| 120 | 288 | 282.029883757016 | 5.97011624298364 |
| Extrapolation Forecasts of Exponential Smoothing | |||
| t | Forecast | 95% Lower Bound | 95% Upper Bound |
| 121 | 287.572563128397 | 276.846972692500 | 298.298153564294 |
| 122 | 302.556262813834 | 290.607408626486 | 314.505117001182 |
| 123 | 326.898146665613 | 313.265007532133 | 340.531285799093 |
| 124 | 334.650792050579 | 318.913336491661 | 350.388247609496 |
| 125 | 333.505392304797 | 315.296677099104 | 351.714107510489 |
| 126 | 350.50539330611 | 329.507798036758 | 371.502988575462 |
| 127 | 354.890121512827 | 330.826461795886 | 378.953781229768 |
| 128 | 337.495890772697 | 310.120599657954 | 364.87118188744 |
| 129 | 348.172448144501 | 317.264412626670 | 379.080483662331 |
| 130 | 361.019583395977 | 326.376732396389 | 395.662434395565 |
| 131 | 356.487964349178 | 317.923277398746 | 395.05265129961 |
| 132 | 333.000924792096 | 290.339494427769 | 375.662355156422 |
