Multiple Linear Regression - Ordinary Least Squares | |||||
Variable | Parameter | S.E. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value |
Trade[t] | -6.389586 | 3.249325 | -1.966435 | 0.053958 | 0.026979 |
Constant | 743.818601 | 60.923831 | 12.208993 | 0 | 0 |
t^1 | -2.610408 | 0.248909 | -10.487404 | 0 | 0 |
M1[t] | -10.003476 | 11.259365 | -0.888458 | 0.377902 | 0.188951 |
M2[t] | -10.270748 | 11.901128 | -0.863006 | 0.391629 | 0.195814 |
M3[t] | -5.301534 | 11.847912 | -0.447466 | 0.656177 | 0.328089 |
M4[t] | 25.696776 | 12.493981 | 2.056732 | 0.044142 | 0.022071 |
M5[t] | 34.215811 | 12.157602 | 2.814355 | 0.006632 | 0.003316 |
M6[t] | 19.725046 | 14.042598 | 1.404658 | 0.165366 | 0.082683 |
M7[t] | 18.292074 | 11.708518 | 1.562288 | 0.123569 | 0.061784 |
M8[t] | -19.690586 | 12.310286 | -1.599523 | 0.115046 | 0.057523 |
M9[t] | -28.759851 | 11.727142 | -2.452418 | 0.017167 | 0.008583 |
M10[t] | -16.799183 | 11.694561 | -1.436495 | 0.156143 | 0.078072 |
M11[t] | -1.167641 | 13.352737 | -0.087446 | 0.930613 | 0.465307 |
Variable | Elasticity | S.E.* | T-STAT H0: |elast| = 1 | 2-tail p-value | 1-tail p-value |
%Trade[t] | -0.191198 | 0.097231 | -8.318365 | 0 | 0 |
%Constant | 1.36814 | 0.11206 | 3.285207 | 0.001718 | 0.000859 |
%t^1 | -0.177588 | 0.016933 | -48.567373 | 0 | 0 |
%M1[t] | -0.001764 | 0.001986 | -502.666961 | 0 | 0 |
%M2[t] | -0.001553 | 0.001799 | -554.938638 | 0 | 0 |
%M3[t] | -0.000801 | 0.001791 | -557.850615 | 0 | 0 |
%M4[t] | 0.003885 | 0.001889 | -527.371538 | 0 | 0 |
%M5[t] | 0.005173 | 0.001838 | -541.262244 | 0 | 0 |
%M6[t] | 0.002982 | 0.002123 | -469.638285 | 0 | 0 |
%M7[t] | 0.002765 | 0.00177 | -563.382555 | 0 | 0 |
%M8[t] | -0.002977 | 0.001861 | -535.728923 | 0 | 0 |
%M9[t] | -0.004348 | 0.001773 | -561.595196 | 0 | 0 |
%M10[t] | -0.00254 | 0.001768 | -564.182549 | 0 | 0 |
%M11[t] | -0.000177 | 0.002019 | -495.291635 | 0 | 0 |
Variable | Stand. Coeff. | S.E.* | T-STAT H0: coeff = 0 | 2-tail p-value | 1-tail p-value |
S-Trade[t] | -0.226747 | 0.115309 | -1.966435 | 0.053958 | 0.026979 |
S-Constant | 0 | 0 | 0 | 1 | 0.5 |
S-t^1 | -1.00988 | 0.096295 | -10.487404 | 0 | 0 |
S-M1[t] | -0.054017 | 0.060799 | -0.888458 | 0.377902 | 0.188951 |
S-M2[t] | -0.051734 | 0.059946 | -0.863006 | 0.391629 | 0.195814 |
S-M3[t] | -0.026704 | 0.059678 | -0.447466 | 0.656177 | 0.328089 |
S-M4[t] | 0.129435 | 0.062932 | 2.056732 | 0.044142 | 0.022071 |
S-M5[t] | 0.172345 | 0.061238 | 2.814355 | 0.006632 | 0.003316 |
S-M6[t] | 0.099355 | 0.070733 | 1.404658 | 0.165366 | 0.082683 |
S-M7[t] | 0.092137 | 0.058976 | 1.562288 | 0.123569 | 0.061784 |
S-M8[t] | -0.099181 | 0.062007 | -1.599523 | 0.115046 | 0.057523 |
S-M9[t] | -0.144863 | 0.05907 | -2.452418 | 0.017167 | 0.008583 |
S-M10[t] | -0.084617 | 0.058905 | -1.436495 | 0.156143 | 0.078072 |
S-M11[t] | -0.005881 | 0.067258 | -0.087446 | 0.930613 | 0.465307 |
*Note | computed against deterministic endogenous series | ||||
Variable | Partial Correlation | ||||
Trade[t] | -0.24801 | ||||
Constant | 0.84642 | ||||
t^1 | -0.806758 | ||||
M1[t] | -0.114901 | ||||
M2[t] | -0.111651 | ||||
M3[t] | -0.058156 | ||||
M4[t] | 0.258652 | ||||
M5[t] | 0.344032 | ||||
M6[t] | 0.179888 | ||||
M7[t] | 0.199312 | ||||
M8[t] | -0.203867 | ||||
M9[t] | -0.304151 | ||||
M10[t] | -0.183829 | ||||
M11[t] | -0.011384 | ||||
Critical Values (alpha = 5%) | |||||
1-tail CV at 5% | 1.68 | ||||
2-tail CV at 5% | 2 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.94316 |
R-squared | 0.88955 |
Adjusted R-squared | 0.865214 |
F-TEST | 36.552312 |
Observations | 73 |
Degrees of Freedom | 59 |
Multiple Linear Regression - Residual Statistics | |
Standard Error | 20.157477 |
Sum Squared Errors | 23973.108396 |
Log Likelihood | -315.071855 |
Durbin-Watson | 0.245369 |
Von Neumann Ratio | 0.248777 |
# e[t] > 0 | 37 |
# e[t] < 0 | 36 |
# Runs | 16 |
Stand. Normal Runs Statistic | -5.067437 |
Multiple Linear Regression - Ad Hoc Selection Test Statistics | |
Akaike (1969) Final Prediction Error | 484.248997 |
Akaike (1973) Log Information Criterion | 6.17779 |
Akaike (1974) Information Criterion | 481.925819 |
Schwarz (1978) Log Criterion | 6.617056 |
Schwarz (1978) Criterion | 747.7408 |
Craven-Wahba (1979) Generalized Cross Validation | 502.739705 |
Hannan-Quinn (1979) Criterion | 574.12398 |
Rice (1984) Criterion | 532.735742 |
Shibata (1981) Criterion | 454.359908 |
Multiple Linear Regression - Analysis of Variance | |||
ANOVA | DF | Sum of Squares | Mean Square |
Regression | 13 | 193077.001193 | 14852.077015 |
Residual | 59 | 23973.108396 | 406.323871 |
Total | 72 | 217050.109589 | 3014.5848554033 |
F-TEST | 36.552312 | ||
p-value | 0 |