| Multiple Linear Regression - Estimated Regression Equation |
| Passengersbrussels[t] = + 884598.98401026 + 22.2814211190764DJIA[t] -76830.1862664165M1[t] -40684.7705480636M2[t] + 183955.060155536M3[t] + 359295.240713152M4[t] + 438202.516695373M5[t] + 467068.154689648M6[t] + 711310.55273661M7[t] + 600053.039546941M8[t] + 537136.647657435M9[t] + 388063.866022355M10[t] + 115275.750305964M11[t] + 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) | 884598.98401026 | 77231.815682 | 11.4538 | 0 | 0 |
| DJIA | 22.2814211190764 | 6.190592 | 3.5992 | 0.000766 | 0.000383 |
| M1 | -76830.1862664165 | 49359.527649 | -1.5565 | 0.126288 | 0.063144 |
| M2 | -40684.7705480636 | 49424.855971 | -0.8232 | 0.414572 | 0.207286 |
| M3 | 183955.060155536 | 49394.199955 | 3.7242 | 0.000524 | 0.000262 |
| M4 | 359295.240713152 | 49343.323339 | 7.2815 | 0 | 0 |
| M5 | 438202.516695373 | 49352.086974 | 8.8791 | 0 | 0 |
| M6 | 467068.154689648 | 49359.429069 | 9.4626 | 0 | 0 |
| M7 | 711310.55273661 | 49343.358725 | 14.4155 | 0 | 0 |
| M8 | 600053.039546941 | 49349.086998 | 12.1594 | 0 | 0 |
| M9 | 537136.647657435 | 49360.632498 | 10.8819 | 0 | 0 |
| M10 | 388063.866022355 | 49343.704033 | 7.8645 | 0 | 0 |
| M11 | 115275.750305964 | 49343.39052 | 2.3362 | 0.023797 | 0.011899 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.966064082276502 |
| R-squared | 0.93327981106474 |
| Adjusted R-squared | 0.916244869208929 |
| F-TEST (value) | 54.7862046706293 |
| F-TEST (DF numerator) | 12 |
| F-TEST (DF denominator) | 47 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 78018.6069876803 |
| Sum Squared Residuals | 286084442706.011 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 989236 | 1041499.56839769 | -52263.5683976905 |
| 2 | 1008380 | 1083801.11795703 | -75421.1179570296 |
| 3 | 1207763 | 1302592.74405951 | -94829.7440595054 |
| 4 | 1368839 | 1470997.83229381 | -102158.832293808 |
| 5 | 1469798 | 1556031.83064114 | -86233.8306411425 |
| 6 | 1498721 | 1580608.07225578 | -81887.0722557843 |
| 7 | 1761769 | 1833004.13354706 | -71235.1335470604 |
| 8 | 1653214 | 1718196.96715891 | -64982.9671589117 |
| 9 | 1599104 | 1657221.28704888 | -58117.2870488778 |
| 10 | 1421179 | 1505282.44621525 | -84103.4462152505 |
| 11 | 1163995 | 1240644.87434422 | -76649.8743442185 |
| 12 | 1037735 | 1123400.11485396 | -85665.1148539613 |
| 13 | 1015407 | 1049853.31880365 | -34446.3188036516 |
| 14 | 1039210 | 1088863.01120686 | -49653.0112068618 |
| 15 | 1258049 | 1316085.48143237 | -58036.4814323732 |
| 16 | 1469445 | 1497170.25798291 | -27725.2579829092 |
| 17 | 1552346 | 1571647.31900402 | -19301.3190040248 |
| 18 | 1549144 | 1600109.88609026 | -50965.8860902557 |
| 19 | 1785895 | 1845142.3833301 | -59247.3833300997 |
| 20 | 1662335 | 1738240.21952658 | -75905.2195265771 |
| 21 | 1629440 | 1681961.90861687 | -52521.9086168661 |
| 22 | 1467430 | 1541838.68258847 | -74408.6825884745 |
| 23 | 1202209 | 1272196.70353410 | -69987.7035340972 |
| 24 | 1076982 | 1162295.67763048 | -85313.6776304769 |
| 25 | 1039367 | 1088997.98786828 | -49630.9878682786 |
| 26 | 1063449 | 1117276.72504633 | -53827.7250463305 |
| 27 | 1335135 | 1343826.51916826 | -8691.51916825695 |
| 28 | 1491602 | 1534954.42347401 | -43352.4234740053 |
| 29 | 1591972 | 1626444.68640480 | -34472.6864048031 |
| 30 | 1641248 | 1650430.24754558 | -9182.24754557795 |
| 31 | 1898849 | 1890291.44975790 | 8557.55024210457 |
| 32 | 1798580 | 1782281.45369633 | 16298.5463036676 |
| 33 | 1762444 | 1731350.01541257 | 31093.9845874338 |
| 34 | 1622044 | 1583043.26903556 | 39000.7309644399 |
| 35 | 1368955 | 1297815.6587226 | 71139.3412773999 |
| 36 | 1262973 | 1180158.02449901 | 82814.9755009933 |
| 37 | 1195650 | 1089636.79621176 | 106013.203788237 |
| 38 | 1269530 | 1117226.81466302 | 152303.185336976 |
| 39 | 1479279 | 1341788.66039271 | 137490.339607294 |
| 40 | 1607819 | 1529544.94005472 | 78274.059945284 |
| 41 | 1712466 | 1604401.23086328 | 108064.769136722 |
| 42 | 1721766 | 1604561.49121564 | 117204.508784364 |
| 43 | 1949843 | 1849427.99186814 | 100415.008131857 |
| 44 | 1821326 | 1741858.72231632 | 79467.2776836848 |
| 45 | 1757802 | 1663503.75654761 | 94298.243452388 |
| 46 | 1590367 | 1480437.32478221 | 109929.675217787 |
| 47 | 1260647 | 1196598.29263339 | 64048.7073666059 |
| 48 | 1149235 | 1080149.42550551 | 69085.5744944893 |
| 49 | 1016367 | 986039.328718617 | 30327.6712813833 |
| 50 | 1027885 | 1001286.33112675 | 26598.6688732456 |
| 51 | 1262159 | 1238091.59494716 | 24067.4050528418 |
| 52 | 1520854 | 1425891.54619456 | 94962.4538054386 |
| 53 | 1544144 | 1512200.93308675 | 31943.0669132487 |
| 54 | 1564709 | 1539878.30289275 | 24830.6971072540 |
| 55 | 1821776 | 1800266.0414968 | 21509.9585031984 |
| 56 | 1741365 | 1696242.63730186 | 45122.3626981365 |
| 57 | 1623386 | 1638139.03237408 | -14753.0323740779 |
| 58 | 1498658 | 1489076.27737850 | 9581.72262149837 |
| 59 | 1241822 | 1230372.47076569 | 11449.52923431 |
| 60 | 1136029 | 1116950.75751104 | 19078.2424889555 |
| Goldfeld-Quandt test for Heteroskedasticity | |||
| p-values | Alternative Hypothesis | ||
| breakpoint index | greater | 2-sided | less |
| 16 | 0.000516661175342282 | 0.00103332235068456 | 0.999483338824658 |
| 17 | 0.000358844919759532 | 0.000717689839519063 | 0.99964115508024 |
| 18 | 0.000258358590523796 | 0.000516717181047593 | 0.999741641409476 |
| 19 | 9.03878168239745e-05 | 0.000180775633647949 | 0.999909612183176 |
| 20 | 0.000605061711075848 | 0.00121012342215170 | 0.999394938288924 |
| 21 | 0.000441402044553384 | 0.000882804089106769 | 0.999558597955447 |
| 22 | 0.000400464815766782 | 0.000800929631533563 | 0.999599535184233 |
| 23 | 0.000234506701516885 | 0.00046901340303377 | 0.999765493298483 |
| 24 | 0.00022608397643762 | 0.00045216795287524 | 0.999773916023562 |
| 25 | 0.000226673453404253 | 0.000453346906808505 | 0.999773326546596 |
| 26 | 0.000187460681893040 | 0.000374921363786081 | 0.999812539318107 |
| 27 | 0.000372526549550951 | 0.000745053099101901 | 0.99962747345045 |
| 28 | 0.000483116562277005 | 0.00096623312455401 | 0.999516883437723 |
| 29 | 0.000686851726796325 | 0.00137370345359265 | 0.999313148273204 |
| 30 | 0.00105335655544812 | 0.00210671311089625 | 0.998946643444552 |
| 31 | 0.00188669842864831 | 0.00377339685729662 | 0.998113301571352 |
| 32 | 0.00391120040854513 | 0.00782240081709026 | 0.996088799591455 |
| 33 | 0.00387554933804986 | 0.00775109867609973 | 0.99612445066195 |
| 34 | 0.0146047075844534 | 0.0292094151689068 | 0.985395292415547 |
| 35 | 0.0555097037208678 | 0.111019407441736 | 0.944490296279132 |
| 36 | 0.156230353626925 | 0.312460707253850 | 0.843769646373075 |
| 37 | 0.229047232586361 | 0.458094465172723 | 0.770952767413638 |
| 38 | 0.487971773765329 | 0.975943547530659 | 0.512028226234671 |
| 39 | 0.593771118875366 | 0.812457762249268 | 0.406228881124634 |
| 40 | 0.624914568357521 | 0.750170863284958 | 0.375085431642479 |
| 41 | 0.564584369112828 | 0.870831261774344 | 0.435415630887172 |
| 42 | 0.577596321893169 | 0.844807356213662 | 0.422403678106831 |
| 43 | 0.561552620440682 | 0.876894759118637 | 0.438447379559318 |
| 44 | 0.458235515257073 | 0.916471030514146 | 0.541764484742927 |
| Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
| Description | # significant tests | % significant tests | OK/NOK |
| 1% type I error level | 18 | 0.620689655172414 | NOK |
| 5% type I error level | 19 | 0.655172413793103 | NOK |
| 10% type I error level | 19 | 0.655172413793103 | NOK |
