Regression Plots:
Here I’m regressing p_hat_age_arrest on the true label age_arrest and a host of other features.
DEX-CNN ResNet-50
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Dependent variable:
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P-Hat Age-Arrest
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(1)
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(2)
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(3)
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(4)
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(5)
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(6)
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(7)
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age_arrest
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0.756***
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0.750***
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(0.749, 0.764)
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(0.742, 0.757)
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sexM
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0.617**
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0.989***
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0.718***
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0.341***
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(0.182, 1.052)
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(0.556, 1.422)
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(0.283, 1.152)
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(0.130, 0.552)
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raceB
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0.753
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0.751
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0.729
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1.412**
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(-1.240, 2.747)
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(-1.241, 2.742)
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(-1.250, 2.709)
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(0.451, 2.373)
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raceI
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-4.058
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-3.854
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-3.356
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0.375
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(-8.692, 0.576)
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(-8.486, 0.777)
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(-7.958, 1.246)
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(-1.859, 2.609)
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raceU
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-1.823
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-1.896
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-1.770
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0.829
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(-4.153, 0.508)
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(-4.225, 0.433)
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(-4.084, 0.544)
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(-0.294, 1.953)
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raceW
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3.760***
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3.851***
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3.948***
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2.757***
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(1.749, 5.771)
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(1.841, 5.860)
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(1.951, 5.945)
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(1.787, 3.726)
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attractiveness
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-4.134***
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-4.317***
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-0.499**
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(-4.918, -3.350)
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(-5.095, -3.540)
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(-0.878, -0.119)
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competence
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-0.254
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-0.193
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0.050
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(-1.045, 0.536)
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(-0.974, 0.589)
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(-0.330, 0.429)
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dominance
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1.567***
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1.761***
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0.108
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(0.928, 2.206)
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(1.123, 2.399)
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(-0.202, 0.418)
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trustworthiness
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0.538
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0.612
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-0.166
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(-0.242, 1.319)
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(-0.160, 1.384)
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(-0.541, 0.209)
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Constant
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7.103***
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30.557***
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29.538***
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28.741***
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32.185***
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30.010***
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5.551***
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(6.851, 7.354)
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(30.171, 30.942)
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(27.556, 31.520)
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(26.730, 30.752)
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(31.750, 32.620)
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(27.980, 32.041)
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(4.536, 6.567)
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Observations
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8,370
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8,370
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8,370
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8,370
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8,370
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8,370
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8,370
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Adjusted R2
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0.769
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0.001
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0.020
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0.022
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0.012
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0.035
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0.773
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F Statistic
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27,802.050*** (df = 1; 8368)
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5.437** (df = 1; 8368)
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44.777*** (df = 4; 8365)
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38.698*** (df = 5; 8364)
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27.234*** (df = 4; 8365)
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34.864*** (df = 9; 8360)
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2,844.760*** (df = 10; 8359)
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Note:
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p<0.1; p<0.05; p<0.01
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DEX-CNN ResNet-50
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Dependent variable:
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True Age-Arrest
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(1)
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(2)
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(3)
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(4)
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(5)
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(6)
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(7)
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age_arrest_pred
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1.016***
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1.020***
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(1.006, 1.026)
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(1.010, 1.030)
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sexM
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0.533*
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0.820***
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0.502
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-0.229
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(0.029, 1.038)
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(0.315, 1.326)
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(-0.004, 1.009)
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(-0.475, 0.017)
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raceB
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-0.866
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-0.868
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-0.911
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-1.654**
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(-3.190, 1.458)
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(-3.191, 1.455)
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(-3.220, 1.398)
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(-2.775, -0.533)
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raceI
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-5.689*
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-5.520*
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-4.978
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-1.556
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(-11.091, -0.286)
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(-10.921, -0.118)
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(-10.345, 0.389)
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(-4.161, 1.050)
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raceU
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-3.550**
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-3.610**
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-3.468**
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-1.663**
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(-6.267, -0.832)
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(-6.327, -0.894)
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(-6.167, -0.769)
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(-2.973, -0.352)
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raceW
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1.410
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1.486
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1.589
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-2.437***
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(-0.934, 3.755)
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(-0.858, 3.830)
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(-0.740, 3.918)
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(-3.568, -1.306)
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attractiveness
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-4.958***
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-5.095***
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-0.692**
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(-5.867, -4.050)
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(-6.002, -4.188)
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(-1.134, -0.249)
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competence
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-0.363
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-0.323
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-0.127
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(-1.279, 0.553)
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(-1.235, 0.588)
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(-0.570, 0.316)
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dominance
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2.040***
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2.205***
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0.409*
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(1.300, 2.780)
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(1.461, 2.949)
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(0.047, 0.771)
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trustworthiness
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0.985*
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1.037*
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0.414
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(0.081, 1.890)
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(0.137, 1.938)
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(-0.024, 0.851)
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Constant
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0.104
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31.232***
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31.955***
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31.294***
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32.801***
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32.631***
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2.028***
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(-0.223, 0.430)
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(30.785, 31.679)
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(29.645, 34.266)
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(28.949, 33.639)
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(32.297, 33.305)
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(30.263, 35.000)
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(0.838, 3.218)
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Observations
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8,370
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8,370
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8,370
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8,370
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8,370
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8,370
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8,370
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Adjusted R2
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0.769
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0.0002
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0.009
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0.010
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0.013
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0.023
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0.770
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F Statistic
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27,802.050*** (df = 1; 8368)
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3.020* (df = 1; 8368)
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20.454*** (df = 4; 8365)
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17.802*** (df = 5; 8364)
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27.990*** (df = 4; 8365)
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23.048*** (df = 9; 8360)
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2,799.631*** (df = 10; 8359)
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Note:
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p<0.1; p<0.05; p<0.01
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