| Multiple Linear Regression - Estimated Regression Equation |
| Brent[t] = + 10.0700259581615 -1.40281951442969Irak[t] + 2.57622199681522M1[t] + 2.41204491416357M2[t] + 4.0458162642061M3[t] + 4.92530189996293M4[t] + 4.55541053159698M5[t] + 4.73735052243528M6[t] + 6.51397901533497M7[t] + 6.74265907554045M8[t] + 4.35084669415179M9[t] + 2.79112001832342M10[t] -0.411939990838284M11[t] + 0.718060009161704t + 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) | 10.0700259581615 | 3.053503 | 3.2979 | 0.001572 | 0.000786 |
| Irak | -1.40281951442969 | 2.454968 | -0.5714 | 0.569655 | 0.284828 |
| M1 | 2.57622199681522 | 3.725458 | 0.6915 | 0.491665 | 0.245833 |
| M2 | 2.41204491416357 | 3.748283 | 0.6435 | 0.522125 | 0.261063 |
| M3 | 4.0458162642061 | 3.724789 | 1.0862 | 0.281348 | 0.140674 |
| M4 | 4.92530189996293 | 3.727477 | 1.3213 | 0.190947 | 0.095474 |
| M5 | 4.55541053159698 | 3.726943 | 1.2223 | 0.225945 | 0.112972 |
| M6 | 4.73735052243528 | 3.729078 | 1.2704 | 0.208409 | 0.104204 |
| M7 | 6.51397901533497 | 3.722684 | 1.7498 | 0.0848 | 0.0424 |
| M8 | 6.74265907554045 | 3.735456 | 1.805 | 0.07563 | 0.037815 |
| M9 | 4.35084669415179 | 3.865296 | 1.1256 | 0.264404 | 0.132202 |
| M10 | 2.79112001832342 | 3.863595 | 0.7224 | 0.472591 | 0.236296 |
| M11 | -0.411939990838284 | 3.862573 | -0.1066 | 0.915391 | 0.457695 |
| t | 0.718060009161704 | 0.051286 | 14.0011 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.936834349754005 |
| R-squared | 0.877658598879009 |
| Adjusted R-squared | 0.85356105017336 |
| F-TEST (value) | 36.4210737614668 |
| F-TEST (DF numerator) | 13 |
| F-TEST (DF denominator) | 66 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 6.6895835607987 |
| Sum Squared Residuals | 2953.53486231595 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 25.62 | 13.3643079641385 | 12.2556920358615 |
| 2 | 27.5 | 13.9181908906485 | 13.5818091093515 |
| 3 | 24.5 | 16.2700222498528 | 8.22997775014722 |
| 4 | 25.66 | 17.8675678947713 | 7.79243210522872 |
| 5 | 28.31 | 18.2157365355670 | 10.0942634644330 |
| 6 | 27.85 | 19.1157365355670 | 8.73426346443297 |
| 7 | 24.61 | 21.6104250376284 | 2.99957496237157 |
| 8 | 25.68 | 22.5571651069956 | 3.12283489300439 |
| 9 | 25.62 | 19.480593220339 | 6.139406779661 |
| 10 | 20.54 | 20.041746068102 | 0.498253931898005 |
| 11 | 18.8 | 17.556746068102 | 1.24325393189801 |
| 12 | 18.71 | 18.686746068102 | 0.0232539318980090 |
| 13 | 19.46 | 21.9810280740789 | -2.5210280740789 |
| 14 | 20.12 | 22.534911000589 | -2.41491100058899 |
| 15 | 23.54 | 24.8867423597932 | -1.34674235979320 |
| 16 | 25.6 | 26.4842880047117 | -0.884288004711731 |
| 17 | 25.39 | 26.8324566455075 | -1.44245664550749 |
| 18 | 24.09 | 27.7324566455075 | -3.64245664550749 |
| 19 | 25.69 | 30.2271451475689 | -4.53714514756887 |
| 20 | 26.56 | 31.1738852169361 | -4.61388521693607 |
| 21 | 28.33 | 29.5001328447091 | -1.17013284470911 |
| 22 | 27.5 | 28.6584661780424 | -1.15846617804244 |
| 23 | 24.23 | 26.1734661780424 | -1.94346617804245 |
| 24 | 28.23 | 27.3034661780424 | 0.926533821957564 |
| 25 | 31.29 | 30.5977481840194 | 0.692251815980644 |
| 26 | 32.72 | 31.1516311105294 | 1.56836888947058 |
| 27 | 30.46 | 32.100642955304 | -1.64064295530398 |
| 28 | 24.89 | 33.6981886002225 | -8.8081886002225 |
| 29 | 25.68 | 35.4491767554479 | -9.76917675544793 |
| 30 | 27.52 | 36.3491767554479 | -8.82917675544794 |
| 31 | 28.4 | 37.4410457430796 | -9.04104574307964 |
| 32 | 29.71 | 39.7906053268765 | -10.0806053268765 |
| 33 | 26.85 | 38.1168529546496 | -11.2668529546496 |
| 34 | 29.62 | 35.8723667735532 | -6.25236677355321 |
| 35 | 28.69 | 33.3873667735532 | -4.69736677355322 |
| 36 | 29.76 | 34.5173667735532 | -4.75736677355321 |
| 37 | 31.3 | 37.8116487795301 | -6.51164877953012 |
| 38 | 30.86 | 39.7683512204699 | -8.90835122046987 |
| 39 | 33.46 | 40.7173630652444 | -7.25736306524443 |
| 40 | 33.15 | 42.3149087101629 | -9.16490871016295 |
| 41 | 37.99 | 42.6630773509587 | -4.67307735095871 |
| 42 | 35.24 | 43.5630773509587 | -8.3230773509587 |
| 43 | 38.24 | 46.0577658530201 | -7.81776585302009 |
| 44 | 43.16 | 47.0045059223873 | -3.84450592238729 |
| 45 | 43.33 | 45.3307535501603 | -2.00075355016033 |
| 46 | 49.67 | 44.4890868834937 | 5.18091311650633 |
| 47 | 43.17 | 42.0040868834937 | 1.16591311650633 |
| 48 | 39.56 | 43.1340868834937 | -3.57408688349366 |
| 49 | 44.36 | 46.4283688894706 | -2.06836888947058 |
| 50 | 45.22 | 46.9822518159806 | -1.76225181598064 |
| 51 | 53.1 | 49.3340831751849 | 3.76591682481513 |
| 52 | 52.1 | 50.9316288201034 | 1.16837117989660 |
| 53 | 48.52 | 51.2797974608992 | -2.75979746089915 |
| 54 | 54.84 | 52.1797974608992 | 2.66020253910084 |
| 55 | 57.57 | 54.6744859629605 | 2.89551403703945 |
| 56 | 64.14 | 55.6212260323277 | 8.51877396767227 |
| 57 | 62.85 | 53.9474736601008 | 8.90252633989922 |
| 58 | 58.75 | 53.1058069934341 | 5.64419300656588 |
| 59 | 55.33 | 50.6208069934341 | 4.70919300656588 |
| 60 | 57.03 | 51.7508069934341 | 5.2791930065659 |
| 61 | 63.18 | 55.045088999411 | 8.13491100058897 |
| 62 | 60.19 | 55.5989719259211 | 4.59102807407891 |
| 63 | 62.12 | 59.353622799555 | 2.76637720044500 |
| 64 | 70.12 | 59.5483489300438 | 10.5716510699562 |
| 65 | 69.75 | 59.8965175708396 | 9.8534824291604 |
| 66 | 68.56 | 60.7965175708396 | 7.7634824291604 |
| 67 | 73.77 | 63.291206072901 | 10.478793927099 |
| 68 | 73.23 | 64.2379461422682 | 8.99205385773184 |
| 69 | 61.96 | 62.5641937700412 | -0.604193770041223 |
| 70 | 57.81 | 61.7225271033746 | -3.91252710337456 |
| 71 | 58.76 | 59.2375271033746 | -0.477527103374563 |
| 72 | 62.47 | 60.3675271033746 | 2.10247289662544 |
| 73 | 53.68 | 63.6618091093515 | -9.98180910935148 |
| 74 | 57.56 | 64.2156920358615 | -6.65569203586153 |
| 75 | 62.05 | 66.5675233950658 | -4.51752339506578 |
| 76 | 67.49 | 68.1650690399843 | -0.675069039984306 |
| 77 | 67.21 | 68.51323768078 | -1.30323768078006 |
| 78 | 71.05 | 69.41323768078 | 1.63676231921994 |
| 79 | 76.93 | 71.9079261828414 | 5.02207381715857 |
| 80 | 70.76 | 72.8546662522086 | -2.09466625220862 |
