| Multiple Linear Regression - Estimated Regression Equation |
| Brent[t] = + 15.3991514616441 + 14.3949587992937Iran[t] + 2.07831497519547M1[t] + 2.37793730205442M2[t] + 4.07470248605622M3[t] + 5.0171819557723M4[t] + 5.11108999691695M5[t] + 3.50000392387678M6[t] + 5.33962625073572M7[t] + 6.0321057204518M8[t] + 3.560656828947M9[t] + 2.26432677485355M10[t] -0.675336612573228M11[t] + 0.454663387426778t + 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) | 15.3991514616441 | 2.494298 | 6.1737 | 0 | 0 |
| Iran | 14.3949587992937 | 2.154636 | 6.6809 | 0 | 0 |
| M1 | 2.07831497519547 | 2.885458 | 0.7203 | 0.473901 | 0.23695 |
| M2 | 2.37793730205442 | 2.883726 | 0.8246 | 0.412566 | 0.206283 |
| M3 | 4.07470248605622 | 2.882663 | 1.4135 | 0.162202 | 0.081101 |
| M4 | 5.0171819557723 | 2.88227 | 1.7407 | 0.086396 | 0.043198 |
| M5 | 5.11108999691695 | 2.882547 | 1.7731 | 0.080823 | 0.040412 |
| M6 | 3.50000392387678 | 2.888965 | 1.2115 | 0.230021 | 0.11501 |
| M7 | 5.33962625073572 | 2.886739 | 1.8497 | 0.068833 | 0.034417 |
| M8 | 6.0321057204518 | 2.885181 | 2.0907 | 0.040408 | 0.020204 |
| M9 | 3.560656828947 | 2.993354 | 1.1895 | 0.238497 | 0.119248 |
| M10 | 2.26432677485355 | 2.99174 | 0.7569 | 0.451828 | 0.225914 |
| M11 | -0.675336612573228 | 2.990771 | -0.2258 | 0.822049 | 0.411025 |
| t | 0.454663387426778 | 0.043955 | 10.3438 | 0 | 0 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.962629332889965 |
| R-squared | 0.92665523254018 |
| Adjusted R-squared | 0.912208535919305 |
| F-TEST (value) | 64.1430533815784 |
| F-TEST (DF numerator) | 13 |
| F-TEST (DF denominator) | 66 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 5.1796083934521 |
| Sum Squared Residuals | 1770.67064522828 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 25.62 | 17.9321298242665 | 7.68787017573355 |
| 2 | 27.5 | 18.6864155385521 | 8.81358446144793 |
| 3 | 24.5 | 20.8378441099807 | 3.66215589001934 |
| 4 | 25.66 | 22.2349869671235 | 3.4250130328765 |
| 5 | 28.31 | 22.7835583956949 | 5.52644160430505 |
| 6 | 27.85 | 21.6271357100816 | 6.22286428991844 |
| 7 | 24.61 | 23.9214214243673 | 0.68857857563273 |
| 8 | 25.68 | 25.0685642815101 | 0.611435718489871 |
| 9 | 25.62 | 23.0517787774321 | 2.5682212225679 |
| 10 | 20.54 | 22.2101121107654 | -1.67011211076543 |
| 11 | 18.8 | 19.7251121107654 | -0.925112110765436 |
| 12 | 18.71 | 20.8551121107654 | -2.14511211076543 |
| 13 | 19.46 | 23.3880904733877 | -3.92809047338770 |
| 14 | 20.12 | 24.1423761876734 | -4.02237618767342 |
| 15 | 23.54 | 26.293804759102 | -2.75380475910199 |
| 16 | 25.6 | 27.6909476162449 | -2.09094761624485 |
| 17 | 25.39 | 28.2395190448163 | -2.84951904481627 |
| 18 | 24.09 | 27.0830963592029 | -2.99309635920289 |
| 19 | 25.69 | 29.3773820734886 | -3.68738207348860 |
| 20 | 26.56 | 30.5245249306315 | -3.96452493063146 |
| 21 | 28.33 | 28.5077394265534 | -0.177739426553438 |
| 22 | 27.5 | 27.6660727598868 | -0.166072759886770 |
| 23 | 24.23 | 25.1810727598868 | -0.951072759886767 |
| 24 | 28.23 | 26.3110727598868 | 1.91892724011323 |
| 25 | 31.29 | 28.844051122509 | 2.44594887749098 |
| 26 | 32.72 | 29.5983368367948 | 3.12166316320524 |
| 27 | 30.46 | 31.7497654082233 | -1.28976540822332 |
| 28 | 24.89 | 33.1469082653662 | -8.25690826536619 |
| 29 | 25.68 | 33.6954796939376 | -8.0154796939376 |
| 30 | 27.52 | 32.5390570083242 | -5.01905700832422 |
| 31 | 28.4 | 34.8333427226099 | -6.43334272260994 |
| 32 | 29.71 | 35.9804855797528 | -6.27048557975279 |
| 33 | 26.85 | 33.9637000756748 | -7.11370007567476 |
| 34 | 29.62 | 33.1220334090081 | -3.5020334090081 |
| 35 | 28.69 | 30.6370334090081 | -1.9470334090081 |
| 36 | 29.76 | 31.7670334090081 | -2.0070334090081 |
| 37 | 31.3 | 34.3000117716304 | -3.00001177163035 |
| 38 | 30.86 | 35.0542974859161 | -4.19429748591609 |
| 39 | 33.46 | 37.2057260573447 | -3.74572605734466 |
| 40 | 33.15 | 38.6028689144875 | -5.45286891448752 |
| 41 | 37.99 | 39.1514403430589 | -1.16144034305894 |
| 42 | 35.24 | 37.9950176574456 | -2.75501765744556 |
| 43 | 38.24 | 40.2893033717313 | -2.04930337173127 |
| 44 | 43.16 | 41.4364462288741 | 1.72355377112587 |
| 45 | 43.33 | 39.4196607247961 | 3.91033927520389 |
| 46 | 49.67 | 38.5779940581294 | 11.0920059418706 |
| 47 | 43.17 | 36.0929940581294 | 7.07700594187056 |
| 48 | 39.56 | 37.2229940581294 | 2.33700594187057 |
| 49 | 44.36 | 39.7559724207517 | 4.60402757924831 |
| 50 | 45.22 | 40.5102581350374 | 4.70974186496258 |
| 51 | 53.1 | 42.661686706466 | 10.4383132935340 |
| 52 | 52.1 | 44.0588295636088 | 8.04117043639115 |
| 53 | 48.52 | 44.6074009921803 | 3.91259900781973 |
| 54 | 54.84 | 57.8459371058606 | -3.00593710586058 |
| 55 | 57.57 | 60.1402228201463 | -2.5702228201463 |
| 56 | 64.14 | 61.2873656772892 | 2.85263432271084 |
| 57 | 62.85 | 59.2705801732111 | 3.57941982678887 |
| 58 | 58.75 | 58.4289135065445 | 0.321086493455532 |
| 59 | 55.33 | 55.9439135065445 | -0.613913506544466 |
| 60 | 57.03 | 57.0739135065445 | -0.0439135065444644 |
| 61 | 63.18 | 59.6068918691667 | 3.57310813083328 |
| 62 | 60.19 | 60.3611775834525 | -0.171177583452458 |
| 63 | 62.12 | 62.512606154881 | -0.392606154881023 |
| 64 | 70.12 | 63.9097490120239 | 6.21025098797612 |
| 65 | 69.75 | 64.4583204405953 | 5.29167955940469 |
| 66 | 68.56 | 63.3018977549819 | 5.25810224501808 |
| 67 | 73.77 | 65.5961834692676 | 8.17381653073236 |
| 68 | 73.23 | 66.7433263264105 | 6.48667367358951 |
| 69 | 61.96 | 64.7265408223325 | -2.76654082233247 |
| 70 | 57.81 | 63.8848741556658 | -6.0748741556658 |
| 71 | 58.76 | 61.3998741556658 | -2.6398741556658 |
| 72 | 62.47 | 62.5298741556658 | -0.0598741556658028 |
| 73 | 53.68 | 65.062852518288 | -11.3828525182881 |
| 74 | 57.56 | 65.8171382325738 | -8.25713823257379 |
| 75 | 62.05 | 67.9685668040024 | -5.91856680400236 |
| 76 | 67.49 | 69.3657096611452 | -1.87570966114522 |
| 77 | 67.21 | 69.9142810897166 | -2.70428108971665 |
| 78 | 71.05 | 68.7578584041033 | 2.29214159589674 |
| 79 | 76.93 | 71.052144118389 | 5.87785588161104 |
| 80 | 70.76 | 72.1992869755318 | -1.43928697553182 |
