Model

\[ math_i = \beta_0 + \beta_1male_i + \beta_2none_i + \beta_3BachelorsDegree_i + \beta_4HighSchool_i + \beta_5MastersDegree_i + \beta_6SomeCollege_i + \beta_7SomeHighSchool_i + \epsilon_i \]

Characteristic

Beta

95% CI

1
(Intercept) 69 67, 71
gender

    gendermale 5.3 3.5, 7.0
test_prep

    test_prepnone -5.5 -7.4, -3.6
parent_education_lvl

    parent_education_lvlBachelorsDegree 1.5 -1.7, 4.7
    parent_education_lvlHighSchool -5.5 -8.3, -2.6
    parent_education_lvlMastersDegree 2.5 -1.6, 6.5
    parent_education_lvlSomeCollege -0.61 -3.3, 2.0
    parent_education_lvlSomeHighSchool -4.8 -7.7, -2.0
1

CI = Credible Interval

This table shows how students’ math exam scores are affected by many factors. The intercept represents the average math exam score of a female student who completed the test preparation and who’s parents have an associate’s degree. The “gendermale” shows that the intercept is increased by about 5.3 if the student is a male. This also applies to the “testprep_none” and the “parent_education_lvl”.

\[ reading_i = \beta_0 + \beta_1male_i + \beta_2none_i + \beta_3BachelorsDegree_i + \beta_4HighSchool_i + \beta_5MastersDegree_i + \beta_6SomeCollege_i + \beta_7SomeHighSchool_i + \epsilon_i \]

Characteristic

Beta

95% CI

1
(Intercept) 79 77, 81
gender

    gendermale -6.9 -8.5, -5.3
test_prep

    test_prepnone -7.3 -9.1, -5.5
parent_education_lvl

    parent_education_lvlBachelorsDegree 1.9 -1.2, 4.8
    parent_education_lvlHighSchool -5.3 -8.0, -2.7
    parent_education_lvlMastersDegree 4.1 0.33, 7.8
    parent_education_lvlSomeCollege -1.3 -3.7, 1.2
    parent_education_lvlSomeHighSchool -4.3 -7.0, -1.7
1

CI = Credible Interval

This table shows how students’ reading exam scores are affected by many factors. The intercept represents the average reading exam score of a female student who completed the test preparation and who’s parents have an associate’s degree. The “gendermale” shows that the intercept is decreased by about 6.9 if the student is a male. This also applies to the “testprep_none” and the “parent_education_lvl”.

\[ writing_i = \beta_0 + \beta_1male_i + \beta_2none_i + \beta_3BachelorsDegree_i + \beta_4HighSchool_i + \beta_5MastersDegree_i + \beta_6SomeCollege_i + \beta_7SomeHighSchool_i + \epsilon_i \]

Characteristic

Beta

95% CI

1
(Intercept) 80 78, 82
gender

    gendermale -8.9 -10, -7.3
test_prep

    test_prepnone -9.9 -12, -8.1
parent_education_lvl

    parent_education_lvlBachelorsDegree 3.2 0.18, 6.2
    parent_education_lvlHighSchool -6.2 -8.8, -3.6
    parent_education_lvlMastersDegree 5.3 1.5, 9.1
    parent_education_lvlSomeCollege -0.73 -3.2, 1.7
    parent_education_lvlSomeHighSchool -5.5 -8.1, -2.9
1

CI = Credible Interval

This table shows how students’ writing exam scores are affected by many factors. The intercept represents the average writing exam score of a female student who completed the test preparation and who’s parents have an associate’s degree. The “gendermale” shows that the intercept is decreased by about 8.9 if the student is a male. This also applies to the “testprep_none” and the “parent_education_lvl”.