Multiple Linear Regression - Estimated Regression Equation |
2005[t] = -5.40392602506496 + 0.24512687720723`1992`[t] + 0.0127001368943751`2000`[t] + 0.676861788500026`2010`[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) | -5.40392602506496 | 1.380328 | -3.915 | 0.00445 | 0.002225 |
`1992` | 0.24512687720723 | 0.146299 | 1.6755 | 0.13236 | 0.06618 |
`2000` | 0.0127001368943751 | 0.11335 | 0.112 | 0.913549 | 0.456775 |
`2010` | 0.676861788500026 | 0.009684 | 69.8964 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.99990745400614 |
R-squared | 0.999814916577041 |
Adjusted R-squared | 0.999745510293432 |
F-TEST (value) | 14405.2507147781 |
F-TEST (DF numerator) | 3 |
F-TEST (DF denominator) | 8 |
p-value | 2.88657986402541e-15 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 2.53954898240927 |
Sum Squared Residuals | 51.5944722724476 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 139.633 | 139.528059747656 | 0.104940252343939 |
2 | 281.58 | 278.663907603732 | 2.91609239626772 |
3 | 144.053 | 144.233121391296 | -0.180121391296209 |
4 | 246.16 | 244.670764847003 | 1.48923515299723 |
5 | 682.705 | 683.739353390303 | -1.03435339030323 |
6 | 152.383 | 150.187603865742 | 2.19539613425786 |
7 | 100.903 | 100.661972041136 | 0.241027958863679 |
8 | 210.574 | 212.318428870095 | -1.74442887009518 |
9 | 103.816 | 109.293881232607 | -5.47788123260716 |
10 | 131.938 | 130.94129889989 | 0.99670110011001 |
11 | 262.611 | 262.962847518129 | -0.351847518129338 |
12 | 141.263 | 140.417760592409 | 0.845239407590682 |