| Multiple Linear Regression - Estimated Regression Equation |
| Crudeoilnnected[t] = -4.84751184144519 + 1.94391574406885Naturalgas[t] + 0.860283890741257steamcoal[t] -0.478472228601963cokingcoal[t] + 5.70655090476457LNG[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) | -4.84751184144519 | 6.781015 | -0.7149 | 0.484993 | 0.242497 |
| Naturalgas | 1.94391574406885 | 1.084683 | 1.7922 | 0.092037 | 0.046019 |
| steamcoal | 0.860283890741257 | 0.461812 | 1.8628 | 0.080948 | 0.040474 |
| cokingcoal | -0.478472228601963 | 0.284523 | -1.6817 | 0.112045 | 0.056023 |
| LNG | 5.70655090476457 | 1.784149 | 3.1985 | 0.005596 | 0.002798 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.974972374946645 |
| R-squared | 0.950571131909102 |
| Adjusted R-squared | 0.938213914886378 |
| F-TEST (value) | 76.9243697962927 |
| F-TEST (DF numerator) | 4 |
| F-TEST (DF denominator) | 16 |
| p-value | 3.06601632971137e-10 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 5.17201802587217 |
| Sum Squared Residuals | 427.996327359146 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 31.53 | 23.8269672602557 | 7.70303273974432 |
| 2 | 38.94 | 28.9490372630737 | 9.99096273692633 |
| 3 | 31.51 | 30.6014534887130 | 0.908546511287044 |
| 4 | 29.54 | 27.9593312080218 | 1.58066879197822 |
| 5 | 25.2 | 26.4231680911306 | -1.22316809113059 |
| 6 | 22.9 | 25.0846884084034 | -2.18468840840340 |
| 7 | 23.95 | 26.9462876579386 | -2.99628765793858 |
| 8 | 28.26 | 30.0544688680683 | -1.79446886806829 |
| 9 | 25.52 | 27.7446215153819 | -2.22462151538194 |
| 10 | 16.74 | 22.9978810953645 | -6.25788109536451 |
| 11 | 23.14 | 20.5470733026189 | 2.59292669738105 |
| 12 | 35.5 | 30.6252380593564 | 4.87476194064359 |
| 13 | 29.61 | 36.8313208327723 | -7.22132083277234 |
| 14 | 29.84 | 31.7017442534776 | -1.86174425347756 |
| 15 | 33.62 | 39.2615022923742 | -5.64150229237424 |
| 16 | 43.46 | 46.176003065021 | -2.71600306502099 |
| 17 | 59.89 | 57.1725622544548 | 2.71743774554523 |
| 18 | 69.32 | 62.6040651780515 | 6.71593482194851 |
| 19 | 74.9 | 72.3653495004398 | 2.53465049956021 |
| 20 | 96.91 | 98.3144524879669 | -1.40445248796689 |
| 21 | 61.67 | 65.7627839171152 | -4.09278391711517 |
