| Multiple Linear Regression - Estimated Regression Equation |
| y[t] = + 16229.9336419753 + 2895.57142857152x[t] + 20108.9947909600M1[t] + 16289.7097521819M2[t] + 20987.5346035138M3[t] + 17522.8649493510M4[t] + 13797.7337567268M5[t] + 13960.6025641026M6[t] + 9499.39444840138M7[t] + 6171.26325577715M8[t] + 8077.59360161443M9[t] + 12002.2316397594M10[t] + 6755.04785929092M11[t] -36.8688073757519t + e[t] |
| Multiple Linear Regression - Ordinary Least Squares | |||||
| Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value |
| (Intercept) | 16229.9336419753 | 905.691269 | 17.9199 | 0 | 0 |
| x | 2895.57142857152 | 1108.057547 | 2.6132 | 0.00995 | 0.004975 |
| M1 | 20108.9947909600 | 1238.376821 | 16.2382 | 0 | 0 |
| M2 | 16289.7097521819 | 1238.281757 | 13.1551 | 0 | 0 |
| M3 | 20987.5346035138 | 1127.660055 | 18.6116 | 0 | 0 |
| M4 | 17522.8649493510 | 1127.602057 | 15.5399 | 0 | 0 |
| M5 | 13797.7337567268 | 1127.567257 | 12.2367 | 0 | 0 |
| M6 | 13960.6025641026 | 1127.555656 | 12.3813 | 0 | 0 |
| M7 | 9499.39444840138 | 1127.567257 | 8.4247 | 0 | 0 |
| M8 | 6171.26325577715 | 1127.602057 | 5.4729 | 0 | 0 |
| M9 | 8077.59360161443 | 1127.660055 | 7.1631 | 0 | 0 |
| M10 | 12002.2316397594 | 1127.741247 | 10.6427 | 0 | 0 |
| M11 | 6755.04785929092 | 1149.897034 | 5.8745 | 0 | 0 |
| t | -36.8688073757519 | 5.114696 | -7.2084 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.923656256535195 |
| R-squared | 0.85314088023661 |
| Adjusted R-squared | 0.839503961972867 |
| F-TEST (value) | 62.5611200226129 |
| F-TEST (DF numerator) | 13 |
| F-TEST (DF denominator) | 140 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 2816.63312697278 |
| Sum Squared Residuals | 1110679104.07446 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 35466 | 36302.0596255595 | -836.059625559482 |
| 2 | 25954 | 32445.9057794059 | -6491.90577940594 |
| 3 | 33504 | 37106.8618233618 | -3602.86182336177 |
| 4 | 28115 | 33605.3233618232 | -5490.32336182322 |
| 5 | 28501 | 29843.3233618233 | -1342.32336182333 |
| 6 | 28618 | 29969.3233618233 | -1351.32336182325 |
| 7 | 21434 | 25471.2464387465 | -4037.2464387465 |
| 8 | 20177 | 22106.2464387464 | -1929.24643874639 |
| 9 | 21484 | 23975.707977208 | -2491.70797720798 |
| 10 | 25642 | 27863.4772079772 | -2221.47720797723 |
| 11 | 23515 | 22579.4246201329 | 935.575379867069 |
| 12 | 12941 | 15787.5079534663 | -2846.50795346630 |
| 13 | 36190 | 38755.2053656220 | -2565.20536562205 |
| 14 | 37785 | 34899.0515194682 | 2885.94848053182 |
| 15 | 38407 | 36664.4361348528 | 1742.56386514719 |
| 16 | 33326 | 33162.8976733144 | 163.102326685642 |
| 17 | 30304 | 29400.8976733143 | 903.102326685653 |
| 18 | 27576 | 29526.8976733144 | -1950.89767331436 |
| 19 | 27048 | 25028.8207502374 | 2019.17924976258 |
| 20 | 17291 | 21663.8207502374 | -4372.82075023743 |
| 21 | 21018 | 23533.2822886990 | -2515.28228869896 |
| 22 | 26792 | 27421.0515194682 | -629.05151946819 |
| 23 | 19426 | 22136.9989316239 | -2710.99893162394 |
| 24 | 13927 | 15345.0822649573 | -1418.08226495727 |
| 25 | 35647 | 35417.2082485416 | 229.791751458402 |
| 26 | 31746 | 31561.0544023877 | 184.945597612269 |
| 27 | 31277 | 36222.0104463438 | -4945.01044634379 |
| 28 | 31583 | 32720.4719848053 | -1137.47198480534 |
| 29 | 25607 | 28958.4719848053 | -3351.47198480532 |
| 30 | 28151 | 29084.4719848053 | -933.471984805333 |
| 31 | 24947 | 24586.3950617284 | 360.604938271606 |
| 32 | 18077 | 21221.3950617284 | -3144.39506172840 |
| 33 | 23429 | 23090.8566001899 | 338.143399810061 |
| 34 | 26313 | 26978.6258309592 | -665.625830959168 |
| 35 | 18862 | 21694.5732431149 | -2832.57324311492 |
| 36 | 14753 | 14902.6565764482 | -149.656576448247 |
| 37 | 36409 | 37870.353988604 | -1461.35398860400 |
| 38 | 33163 | 34014.2001424501 | -851.200142450132 |
| 39 | 34122 | 35779.5847578348 | -1657.58475783477 |
| 40 | 35225 | 32278.0462962963 | 2946.95370370368 |
| 41 | 28249 | 28516.0462962963 | -267.046296296302 |
| 42 | 30374 | 28642.0462962963 | 1731.95370370369 |
| 43 | 26311 | 24143.9693732194 | 2167.03062678063 |
| 44 | 22069 | 20778.9693732194 | 1290.03062678062 |
| 45 | 23651 | 22648.4309116809 | 1002.56908831908 |
| 46 | 28628 | 26536.2001424501 | 2091.79985754986 |
| 47 | 23187 | 21252.1475546059 | 1934.85244539411 |
| 48 | 14727 | 14460.2308879392 | 266.769112060776 |
| 49 | 43080 | 34532.3568715236 | 8547.64312847644 |
| 50 | 32519 | 30676.2030253697 | 1842.79697463032 |
| 51 | 39657 | 35337.1590693257 | 4319.84093067426 |
| 52 | 33614 | 31835.6206077873 | 1778.37939221271 |
| 53 | 28671 | 28073.6206077873 | 597.379392212721 |
| 54 | 34243 | 28199.6206077873 | 6043.37939221271 |
| 55 | 27336 | 23701.5436847103 | 3634.45631528965 |
| 56 | 22916 | 20336.5436847104 | 2579.45631528964 |
| 57 | 24537 | 22206.0052231719 | 2330.99477682811 |
| 58 | 26128 | 26093.7744539411 | 34.2255460588785 |
| 59 | 22602 | 20809.7218660969 | 1792.27813390313 |
| 60 | 15744 | 14017.8051994302 | 1726.1948005698 |
| 61 | 41086 | 36985.5026115860 | 4100.49738841405 |
| 62 | 39690 | 33129.3487654321 | 6560.65123456791 |
| 63 | 43129 | 34894.7333808167 | 8234.26661918328 |
| 64 | 37863 | 31393.1949192783 | 6469.80508072173 |
| 65 | 35953 | 27631.1949192783 | 8321.80508072174 |
| 66 | 29133 | 27757.1949192783 | 1375.80508072174 |
| 67 | 24693 | 23259.1179962013 | 1433.88200379867 |
| 68 | 22205 | 19894.1179962013 | 2310.88200379866 |
| 69 | 21725 | 21763.5795346629 | -38.5795346628696 |
| 70 | 27192 | 25651.3487654321 | 1540.6512345679 |
| 71 | 21790 | 20367.2961775878 | 1422.70382241215 |
| 72 | 13253 | 13575.3795109212 | -322.379510921178 |
| 73 | 37702 | 33647.5054945055 | 4054.49450549449 |
| 74 | 30364 | 29791.3516483516 | 572.648351648362 |
| 75 | 32609 | 34452.3076923077 | -1843.30769230770 |
| 76 | 30212 | 30950.7692307692 | -738.769230769245 |
| 77 | 29965 | 27188.7692307692 | 2776.23076923077 |
| 78 | 28352 | 27314.7692307692 | 1037.23076923076 |
| 79 | 25814 | 22816.6923076923 | 2997.3076923077 |
| 80 | 22414 | 19451.6923076923 | 2962.30769230769 |
| 81 | 20506 | 21321.1538461538 | -815.153846153847 |
| 82 | 28806 | 25208.9230769231 | 3597.07692307692 |
| 83 | 22228 | 19924.8704890788 | 2303.12951092118 |
| 84 | 13971 | 13132.9538224122 | 838.046177587845 |
| 85 | 36845 | 36100.6512345679 | 744.348765432093 |
| 86 | 35338 | 32244.4973884140 | 3093.50261158596 |
| 87 | 35022 | 34009.8820037987 | 1012.11799620132 |
| 88 | 34777 | 30508.3435422602 | 4268.65645773978 |
| 89 | 26887 | 26746.3435422602 | 140.656457739790 |
| 90 | 23970 | 26872.3435422602 | -2902.34354226022 |
| 91 | 22780 | 22374.2666191833 | 405.733380816721 |
| 92 | 17351 | 19009.2666191833 | -1658.26661918329 |
| 93 | 21382 | 20878.7281576448 | 503.271842355176 |
| 94 | 24561 | 24766.4973884141 | -205.497388414053 |
| 95 | 17409 | 19482.4448005698 | -2073.44480056980 |
| 96 | 11514 | 12690.5281339031 | -1176.52813390313 |
| 97 | 31514 | 32762.6541174875 | -1248.65411748746 |
| 98 | 27071 | 28906.5002713336 | -1835.50027133359 |
| 99 | 29462 | 33567.4563152897 | -4105.45631528965 |
| 100 | 26105 | 30065.9178537512 | -3960.9178537512 |
| 101 | 22397 | 26303.9178537512 | -3906.91785375119 |
| 102 | 23843 | 26429.9178537512 | -2586.91785375119 |
| 103 | 21705 | 21931.8409306743 | -226.840930674255 |
| 104 | 18089 | 18566.8409306743 | -477.840930674266 |
| 105 | 20764 | 20436.3024691358 | 327.697530864199 |
| 106 | 25316 | 24324.0716999050 | 991.92830009497 |
| 107 | 17704 | 19040.0191120608 | -1336.01911206078 |
| 108 | 15548 | 12248.1024453941 | 3299.89755460589 |
| 109 | 28029 | 35215.7998575499 | -7186.79985754986 |
| 110 | 29383 | 31359.646011396 | -1976.64601139599 |
| 111 | 36438 | 33125.0306267806 | 3312.96937321937 |
| 112 | 32034 | 29623.4921652422 | 2410.50783475782 |
| 113 | 22679 | 25861.4921652422 | -3182.49216524216 |
| 114 | 24319 | 25987.4921652422 | -1668.49216524217 |
| 115 | 18004 | 21489.4152421652 | -3485.41524216523 |
| 116 | 17537 | 18124.4152421652 | -587.415242165244 |
| 117 | 20366 | 19993.8767806268 | 372.123219373222 |
| 118 | 22782 | 23881.646011396 | -1099.64601139601 |
| 119 | 19169 | 18597.5934235518 | 571.406576448245 |
| 120 | 13807 | 11805.6767568851 | 2001.32324311491 |
| 121 | 29743 | 31877.8027404694 | -2134.80274046941 |
| 122 | 25591 | 28021.6488943155 | -2430.64889431555 |
| 123 | 29096 | 32682.6049382716 | -3586.6049382716 |
| 124 | 26482 | 29181.0664767332 | -2699.06647673315 |
| 125 | 22405 | 25419.0664767331 | -3014.06647673314 |
| 126 | 27044 | 25545.0664767332 | 1498.93352326685 |
| 127 | 17970 | 21046.9895536562 | -3076.98955365621 |
| 128 | 18730 | 17681.9895536562 | 1048.01044634378 |
| 129 | 19684 | 19551.4510921178 | 132.548907882246 |
| 130 | 19785 | 23439.220322887 | -3654.22032288698 |
| 131 | 18479 | 18155.1677350427 | 323.832264957268 |
| 132 | 10698 | 11363.2510683761 | -665.251068376061 |
| 133 | 31956 | 34330.9484805318 | -2374.94848053181 |
| 134 | 29506 | 30474.7946343779 | -968.794634377949 |
| 135 | 34506 | 32240.1792497626 | 2265.82075023742 |
| 136 | 27165 | 28738.6407882241 | -1573.64078822413 |
| 137 | 26736 | 24976.6407882241 | 1759.35921177588 |
| 138 | 23691 | 25102.6407882241 | -1411.64078822413 |
| 139 | 18157 | 20604.5638651472 | -2447.56386514719 |
| 140 | 17328 | 17239.5638651472 | 88.4361348528018 |
| 141 | 18205 | 19109.0254036087 | -904.025403608731 |
| 142 | 20995 | 22996.7946343780 | -2001.79463437796 |
| 143 | 17382 | 17712.7420465337 | -330.74204653371 |
| 144 | 9367 | 10920.8253798670 | -1553.82537986704 |
| 145 | 31124 | 30992.9513634514 | 131.048636548631 |
| 146 | 26551 | 27136.7975172975 | -585.7975172975 |
| 147 | 30651 | 31797.7535612536 | -1146.75356125356 |
| 148 | 25859 | 28296.2150997151 | -2437.21509971511 |
| 149 | 25100 | 24534.2150997151 | 565.784900284904 |
| 150 | 25778 | 24660.2150997151 | 1117.78490028490 |
| 151 | 20418 | 20162.1381766382 | 255.861823361837 |
| 152 | 18688 | 16797.1381766382 | 1890.86182336183 |
| 153 | 20424 | 18666.5997150997 | 1757.40028490029 |
| 154 | 24776 | 22554.3689458689 | 2221.63105413106 |
