| Multiple Linear Regression - Estimated Regression Equation |
| LFM[t] = + 29176.7 + 14.4771Calculation[t] + 20.6908Algebraic_Reasoning[t] -10.4521Graphical_Interpretation[t] + 0.36667Proportionality_and_Ratio[t] -3.50635Probability_and_Sampling[t] -4.7807Estimation[t] -14.4613year[t] + 41.9064group[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) | +2.918e+04 | 8399 | +3.4740e+00 | 0.0005976 | 0.0002988 |
| Calculation | +14.48 | 13.71 | +1.0560e+00 | 0.2919 | 0.1459 |
| Algebraic_Reasoning | +20.69 | 12.79 | +1.6170e+00 | 0.107 | 0.05349 |
| Graphical_Interpretation | -10.45 | 10.07 | -1.0380e+00 | 0.3001 | 0.15 |
| Proportionality_and_Ratio | +0.3667 | 6.338 | +5.7850e-02 | 0.9539 | 0.477 |
| Probability_and_Sampling | -3.506 | 5.802 | -6.0440e-01 | 0.5461 | 0.2731 |
| Estimation | -4.781 | 5.603 | -8.5330e-01 | 0.3943 | 0.1971 |
| year | -14.46 | 4.175 | -3.4640e+00 | 0.00062 | 0.00031 |
| group | +41.91 | 4.168 | +1.0050e+01 | 2.126e-20 | 1.063e-20 |
| Multiple Linear Regression - Regression Statistics | |
| Multiple R | 0.5624 |
| R-squared | 0.3162 |
| Adjusted R-squared | 0.2959 |
| F-TEST (value) | 15.55 |
| F-TEST (DF numerator) | 8 |
| F-TEST (DF denominator) | 269 |
| p-value | 0 |
| Multiple Linear Regression - Residual Statistics | |
| Residual Standard Deviation | 33.42 |
| Sum Squared Residuals | 3.005e+05 |
| Ramsey RESET F-Test for powers (2 and 3) of fitted values |
> reset_test_fitted RESET test data: mylm RESET = 0.51157, df1 = 2, df2 = 267, p-value = 0.6001 |
| Ramsey RESET F-Test for powers (2 and 3) of regressors |
> reset_test_regressors RESET test data: mylm RESET = 1.0984, df1 = 16, df2 = 253, p-value = 0.3567 |
| Ramsey RESET F-Test for powers (2 and 3) of principal components |
> reset_test_principal_components RESET test data: mylm RESET = 1.5868, df1 = 2, df2 = 267, p-value = 0.2065 |
| Variance Inflation Factors (Multicollinearity) |
> vif
Calculation Algebraic_Reasoning Graphical_Interpretation
1.513690 1.510420 1.460516
Proportionality_and_Ratio Probability_and_Sampling Estimation
1.242952 1.140334 1.176904
year group
1.043517 1.080099
|
