2. The following table concerns college admissions. Everyone White Black Hispanic Asian Males Females Sports No Sports In-State Out-of-State Football Top_20 0.010 0.014 -0.007 0.006 -0.027 0.018 0.006 0.015 0.010 0.032 0.003 (0.011) (0.012) (0.020) (0.024) (0.037) (0.011) (0.016) (0.013) (0.012) (0.017) (0.016) Top_20_Ig1 0.026' 0.028 0.039 0.057"* 0.035 0.034' 0.020 0.044* 0.021 0.018 0.033 (0.012) (0.018) (0.023) (0.021) (0.030) (0.012) (0.015) (0.015) (0.013) (0.020) (0.018) Top_20_Ig2 0.022' 0.021 0.001 0.049 0.041 0.030' 0.016 0.034' 0.019 0.021' 0.027 (0.009) (0.013) (0.021) (0.030) (0.030) (0.013) (0.012) (0.017) (0.011) (0.010) (0.015) Top_10 0.022* 0.022 0.005 0.045 0.018 0.027' 0.016 0.024 0.022 0.012 0.024 (0.009) (0.011) (0.020) (0.028) (0.027) (0.011) (0.010) (0.011) (0.010) (0.013) (0.012) Top_10_Ig1 0.060** 0.059** 0.077" 0.091" 0.040 0.072"* 0.048** 0.072* 0.056" 0.012 0.084* (0.011) (0.012) (0.027) (0.019) (0.029) (0.013) (0.012) (0.014) (0.011) (0.017) (0.014) Top_10_Ig2 0.027" 0.027' 0.042 0.036 0.010 0.035" 0.018 0.021 0.029* 0.013 0.037" (0.010) (0.011) (0.027) (0.019) (0.028) (0.011) (0.013) (0.013) (0.010) (0.014) (0.011) Champ 0.090" 0.090** 0.053 0.088 -0.006 0.102"* 0.075* 0.116" 0.081** 0.071 0.097" (0.023) (0.030) (0.042) (0.039) (0.088) (0.032) (0.020) (0.045) (0.017) (0.037) (0.029) Champ_Ig1 0.118" 0.114"* 0.192"* 0.190" 0.050 0.137"* 0.101"* 0.165" 0.102" 0.064"* 0.163" (0.016) (0.024) (0.061) (0.041) (0.050) (0.025) (0.029) (0.027) (0.018) (0.023) (0.025) Champ_Ig2 0.017 0.001 0.083 -0.034 0.057 0.047 -0.011 0.015 0.019 -0.011 0.040 (0.029) (0.032) (0.066) (0.049) (0.137) (0.030) (0.041) (0.040) (0.027) (0.039) (0.026) (i) Explain why the coefficients on Champ_lg1 exceed the coefficients on Champ and Champ_1g2. (ii) Interpret the coefficients in the columns labelled "In-State" and "Out-of-State" for Champ_Ig1. Which is larger and why