| Multiple Linear Regression - Estimated Regression Equation |
| 1[t] = + 53.2368533361207 + 0.761056250969949`2`[t] + 0.217444956801800`3`[t] -0.423766010526483`4 `[t] -0.115859441483030t + 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) | 53.2368533361207 | 11.310652 | 4.7068 | 1.1e-05 | 6e-06 |
| `2` | 0.761056250969949 | 0.849475 | 0.8959 | 0.373166 | 0.186583 |
| `3` | 0.217444956801800 | 0.104914 | 2.0726 | 0.041646 | 0.020823 |
| `4 ` | -0.423766010526483 | 0.769568 | -0.5507 | 0.583507 | 0.291754 |
| t | -0.115859441483030 | 0.072774 | -1.592 | 0.11558 | 0.05779 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.692089938519227 |
| R-squared | 0.478988482999547 |
| Adjusted R-squared | 0.451201202092857 |
| F-TEST (value) | 17.2376881569659 |
| F-TEST (DF numerator) | 4 |
| F-TEST (DF denominator) | 75 |
| p-value | 4.56730875342259e-10 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 5.5816683947729 |
| Sum Squared Residuals | 2336.62665519050 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 100.6 | 101.338125987312 | -0.738125987312079 |
| 2 | 96.1 | 100.011358192454 | -3.91135819245363 |
| 3 | 110 | 108.472509542645 | 1.52749045735504 |
| 4 | 108.2 | 103.994372594361 | 4.20562740563907 |
| 5 | 106.9 | 101.798436028235 | 5.10156397176537 |
| 6 | 117.2 | 109.707720339615 | 7.49227966038502 |
| 7 | 105.2 | 102.886958593849 | 2.31304140615083 |
| 8 | 106.3 | 103.632732517366 | 2.66726748263360 |
| 9 | 95.9 | 104.5019397822 | -8.6019397822 |
| 10 | 107.5 | 108.377698313083 | -0.877698313083153 |
| 11 | 113 | 111.405781681627 | 1.59421831837322 |
| 12 | 111.4 | 110.013169782924 | 1.38683021707649 |
| 13 | 95.5 | 99.6521463898699 | -4.15214638986986 |
| 14 | 90.3 | 93.9287614473618 | -3.62876144736176 |
| 15 | 110.8 | 109.421811060013 | 1.37818893998678 |
| 16 | 107.1 | 106.326815423433 | 0.773184576566506 |
| 17 | 101.4 | 101.434420886486 | -0.0344208864855695 |
| 18 | 112.9 | 110.954912717677 | 1.94508728232308 |
| 19 | 98.5 | 103.033328154429 | -4.53332815442889 |
| 20 | 100.1 | 100.693969739000 | -0.59396973899984 |
| 21 | 93.4 | 104.412816791274 | -11.0128167912738 |
| 22 | 104.4 | 107.524541191182 | -3.12454119118232 |
| 23 | 101.8 | 104.260791371512 | -2.46079137151222 |
| 24 | 107.9 | 110.610862907567 | -2.71086290756729 |
| 25 | 91.3 | 96.5773551250182 | -5.27735512501821 |
| 26 | 86.6 | 92.0783351846101 | -5.47833518461011 |
| 27 | 111.4 | 106.594246207847 | 4.80575379215273 |
| 28 | 98.4 | 99.8691427828248 | -1.46914278282476 |
| 29 | 102.2 | 101.41673649239 | 0.783263507609949 |
| 30 | 103 | 105.518227607463 | -2.51822760746306 |
| 31 | 95.8 | 98.1403970405352 | -2.34039704053519 |
| 32 | 96 | 98.4169416291672 | -2.41694162916718 |
| 33 | 95.7 | 106.36824259198 | -10.6682425919799 |
| 34 | 106.4 | 103.764329848834 | 2.63567015116573 |
| 35 | 112 | 106.287339360269 | 5.71266063973116 |
| 36 | 116.2 | 109.788381725688 | 6.41161827431192 |
| 37 | 93.9 | 95.7309046668434 | -1.83090466684338 |
| 38 | 100.5 | 94.4394798402732 | 6.06052015972685 |
| 39 | 112.5 | 109.486626016516 | 3.01337398348386 |
| 40 | 101.2 | 98.8970018808384 | 2.30299811916159 |
| 41 | 107.8 | 100.468706471015 | 7.33129352898504 |
| 42 | 114.3 | 106.557735215606 | 7.7422647843935 |
| 43 | 99.6 | 98.5911895406374 | 1.00881045936258 |
| 44 | 98.6 | 95.7966690558525 | 2.80333094414747 |
| 45 | 93.6 | 104.899566127457 | -11.2995661274569 |
| 46 | 99.6 | 103.010996961142 | -3.41099696114175 |
| 47 | 113.1 | 110.247783528800 | 2.8522164711996 |
| 48 | 110.7 | 109.858754943607 | 0.841245056393281 |
| 49 | 88.1 | 91.819561044893 | -3.71956104489298 |
| 50 | 93.1 | 93.915717822495 | -0.815717822494978 |
| 51 | 107.4 | 99.8282828319656 | 7.57171716803441 |
| 52 | 99.5 | 96.8020757595196 | 2.6979242404804 |
| 53 | 105.6 | 102.320044719274 | 3.27995528072595 |
| 54 | 108.3 | 103.522343769639 | 4.77765623036088 |
| 55 | 99.2 | 99.370624923742 | -0.170624923742072 |
| 56 | 99.3 | 100.666826526724 | -1.36682652672391 |
| 57 | 107.1 | 98.926523238115 | 8.17347676188495 |
| 58 | 106.9 | 101.710968471215 | 5.18903152878507 |
| 59 | 115.4 | 107.145794660031 | 8.25420533996864 |
| 60 | 99 | 104.226731956699 | -5.22673195669872 |
| 61 | 100.1 | 91.0682011727952 | 9.0317988272048 |
| 62 | 96.2 | 92.2703586188446 | 3.92964138115538 |
| 63 | 96.9 | 102.944105141748 | -6.04410514174764 |
| 64 | 96.2 | 100.518379360402 | -4.31837936040241 |
| 65 | 91 | 100.644795436006 | -9.64479543600565 |
| 66 | 99 | 103.255535590416 | -4.25553559041568 |
| 67 | 99 | 99.1447210056433 | -0.144721005643339 |
| 68 | 107.2 | 97.601761589905 | 9.5982384100951 |
| 69 | 110.8 | 98.3833481529008 | 12.4166518470992 |
| 70 | 111.1 | 102.990273294270 | 8.10972670572962 |
| 71 | 104.6 | 108.976751689670 | -4.37675168966958 |
| 72 | 94.3 | 104.060388315561 | -9.7603883155606 |
| 73 | 90.7 | 93.9071897597702 | -3.20718975977023 |
| 74 | 88.8 | 90.621553620537 | -1.82155362053702 |
| 75 | 90.9 | 104.357609455249 | -13.4576094552490 |
| 76 | 90.5 | 99.8964079309286 | -9.39640793092863 |
| 77 | 95.5 | 97.1431514373214 | -1.64315143732141 |
| 78 | 103.1 | 104.380549280486 | -1.28054928048642 |
| 79 | 100.6 | 99.1220861550829 | 1.47791384491711 |
| 80 | 103.1 | 98.5562659874605 | 4.54373401253946 |
