Multiple Linear Regression - Estimated Regression Equation |
Temp[t] = + 62.2438478832116 + 1.22097777297407Time[t] + 3.84164081023246ElNino[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) | 62.2438478832116 | 5.296795 | 11.7512 | 0 | 0 |
Time | 1.22097777297407 | 0.554658 | 2.2013 | 0.046385 | 0.023193 |
ElNino | 3.84164081023246 | 4.323528 | 0.8885 | 0.390394 | 0.195197 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.531177910557785 |
R-squared | 0.282149972664534 |
Adjusted R-squared | 0.171711506920617 |
F-TEST (value) | 2.55481612103139 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 13 |
p-value | 0.115936233800515 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 10.0716299964697 |
Sum Squared Residuals | 1318.69050021525 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 53 | 67.7866715676972 | -14.7866715676972 |
2 | 82 | 64.4937213886482 | 17.5062786113518 |
3 | 57 | 61.3288259031455 | -4.32882590314546 |
4 | 55 | 63.7022959191893 | -8.70229591918927 |
5 | 67 | 67.2602718519775 | -0.260271851977535 |
6 | 78 | 72.0347673744166 | 5.96523262558337 |
7 | 76 | 72.103252904321 | 3.89674709567903 |
8 | 67 | 73.7083947583183 | -6.70839475831829 |
9 | 85 | 73.5527845740363 | 11.4472154259637 |
10 | 75 | 74.9338307142314 | 0.0661692857685598 |
11 | 84 | 73.9458650213219 | 10.0541349786781 |
12 | 63 | 74.2384462650284 | -11.2384462650284 |
13 | 77 | 79.5251605624212 | -2.52516056242123 |
14 | 90 | 78.1210171148137 | 11.8789828851863 |
15 | 75 | 77.8053385636948 | -2.80533856369477 |
16 | 72 | 81.4593555167388 | -9.45935551673885 |