| Multiple Linear Regression - Estimated Regression Equation |
| y[t] = + 106.982150442478 + 7.28641592920353x[t] -0.766427728613481M1[t] -0.604761061946898M2[t] + 0.136905604719768M3[t] + 0.986905604719766M4[t] + 1.62357227138644M5[t] + 0.862000000000004M6[t] + 0.722000000000002M7[t] + 0.410000000000006M8[t] + 0.804000000000006M9[t] + 0.380000000000005M10[t] + 0.620000000000005M11[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) | 106.982150442478 | 1.214622 | 88.0785 | 0 | 0 |
| x | 7.28641592920353 | 0.66132 | 11.018 | 0 | 0 |
| M1 | -0.766427728613481 | 1.555 | -0.4929 | 0.624173 | 0.312086 |
| M2 | -0.604761061946898 | 1.555 | -0.3889 | 0.698928 | 0.349464 |
| M3 | 0.136905604719768 | 1.555 | 0.088 | 0.930181 | 0.465091 |
| M4 | 0.986905604719766 | 1.555 | 0.6347 | 0.528429 | 0.264214 |
| M5 | 1.62357227138644 | 1.555 | 1.0441 | 0.30127 | 0.150635 |
| M6 | 0.862000000000004 | 1.623492 | 0.531 | 0.597711 | 0.298856 |
| M7 | 0.722000000000002 | 1.623492 | 0.4447 | 0.658367 | 0.329184 |
| M8 | 0.410000000000006 | 1.623492 | 0.2525 | 0.801618 | 0.400809 |
| M9 | 0.804000000000006 | 1.623492 | 0.4952 | 0.622525 | 0.311262 |
| M10 | 0.380000000000005 | 1.623492 | 0.2341 | 0.815855 | 0.407927 |
| M11 | 0.620000000000005 | 1.623492 | 0.3819 | 0.704097 | 0.352049 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.841108208711619 |
| R-squared | 0.707463018762068 |
| Adjusted R-squared | 0.639954484630237 |
| F-TEST (value) | 10.4796086577815 |
| F-TEST (DF numerator) | 12 |
| F-TEST (DF denominator) | 52 |
| p-value | 4.29917657029932e-10 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 2.56696606984224 |
| Sum Squared Residuals | 342.644369793508 |
| Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
| Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
| 1 | 103.65 | 106.215722713864 | -2.56572271386392 |
| 2 | 103.87 | 106.377389380531 | -2.507389380531 |
| 3 | 103.94 | 107.119056047198 | -3.17905604719766 |
| 4 | 105.32 | 107.969056047198 | -2.64905604719766 |
| 5 | 105.54 | 108.605722713864 | -3.06572271386431 |
| 6 | 106.08 | 107.844150442478 | -1.76415044247789 |
| 7 | 106.21 | 107.704150442478 | -1.49415044247789 |
| 8 | 105.53 | 107.392150442478 | -1.86215044247789 |
| 9 | 105.56 | 107.786150442478 | -2.22615044247789 |
| 10 | 105.14 | 107.362150442478 | -2.22215044247789 |
| 11 | 105.97 | 107.602150442478 | -1.63215044247789 |
| 12 | 105.45 | 106.982150442478 | -1.53215044247788 |
| 13 | 106.22 | 106.215722713864 | 0.00427728613559486 |
| 14 | 106.31 | 106.377389380531 | -0.0673893805309826 |
| 15 | 107.38 | 107.119056047198 | 0.260943952802342 |
| 16 | 109.31 | 107.969056047198 | 1.34094395280235 |
| 17 | 110.82 | 108.605722713864 | 2.21427728613567 |
| 18 | 111.22 | 107.844150442478 | 3.37584955752211 |
| 19 | 110.66 | 107.704150442478 | 2.95584955752211 |
| 20 | 110.76 | 107.392150442478 | 3.36784955752211 |
| 21 | 110.69 | 107.786150442478 | 2.90384955752211 |
| 22 | 111.08 | 107.362150442478 | 3.71784955752211 |
| 23 | 110.97 | 107.602150442478 | 3.36784955752211 |
| 24 | 110.24 | 106.982150442478 | 3.25784955752211 |
| 25 | 112.51 | 113.502138643068 | -0.992138643067918 |
| 26 | 111.52 | 113.663805309734 | -2.14380530973451 |
| 27 | 112.13 | 114.405471976401 | -2.27547197640118 |
| 28 | 112.23 | 115.255471976401 | -3.02547197640117 |
| 29 | 112.92 | 115.892138643068 | -2.97213864306784 |
| 30 | 111.89 | 115.130566371681 | -3.24056637168141 |
| 31 | 111.99 | 114.990566371681 | -3.00056637168141 |
| 32 | 111.51 | 114.678566371681 | -3.16856637168140 |
| 33 | 112.33 | 115.072566371681 | -2.74256637168141 |
| 34 | 112.04 | 114.648566371681 | -2.60856637168140 |
| 35 | 112.09 | 114.888566371681 | -2.79856637168141 |
| 36 | 111.41 | 114.268566371681 | -2.85856637168141 |
| 37 | 112.61 | 113.502138643068 | -0.892138643067924 |
| 38 | 113.14 | 113.663805309734 | -0.523805309734504 |
| 39 | 113.65 | 114.405471976401 | -0.755471976401167 |
| 40 | 114.26 | 115.255471976401 | -0.995471976401165 |
| 41 | 114.4 | 115.892138643068 | -1.49213864306784 |
| 42 | 114.93 | 115.130566371681 | -0.200566371681401 |
| 43 | 114.86 | 114.990566371681 | -0.130566371681406 |
| 44 | 114.95 | 114.678566371681 | 0.271433628318593 |
| 45 | 116.17 | 115.072566371681 | 1.09743362831859 |
| 46 | 114.6 | 114.648566371681 | -0.0485663716814141 |
| 47 | 114.62 | 114.888566371681 | -0.268566371681404 |
| 48 | 113.82 | 114.268566371681 | -0.44856637168141 |
| 49 | 115.02 | 113.502138643068 | 1.51786135693207 |
| 50 | 115.18 | 113.663805309734 | 1.51619469026550 |
| 51 | 115.59 | 114.405471976401 | 1.18452802359883 |
| 52 | 116.6 | 115.255471976401 | 1.34452802359882 |
| 53 | 117.07 | 115.892138643068 | 1.17786135693215 |
| 54 | 116.96 | 115.130566371681 | 1.82943362831859 |
| 55 | 116.66 | 114.990566371681 | 1.66943362831859 |
| 56 | 116.07 | 114.678566371681 | 1.39143362831858 |
| 57 | 116.04 | 115.072566371681 | 0.967433628318597 |
| 58 | 115.81 | 114.648566371681 | 1.16143362831859 |
| 59 | 116.22 | 114.888566371681 | 1.33143362831859 |
| 60 | 115.85 | 114.268566371681 | 1.58143362831859 |
| 61 | 116.43 | 113.502138643068 | 2.92786135693208 |
| 62 | 117.39 | 113.663805309734 | 3.72619469026550 |
| 63 | 119.17 | 114.405471976401 | 4.76452802359883 |
| 64 | 119.24 | 115.255471976401 | 3.98452802359882 |
| 65 | 120.03 | 115.892138643068 | 4.13786135693216 |
