PMAP 4041: Problem Set
3
Grading: This assignment is worth a total
of 34 points (5% of your overall grade).
Question 1: Please answer the following questions based on the information in
Table 1. Table 1 shows the regression with grade
and a set of dummy variables representing people’s race. Race would be five
values: whites, Asians, blacks, Hispanic, and Indians.
Table
1 Coefficientsa 

Model 
Unstandardized
Coefficients 
Standardized
Coefficients 
t 
Sig. 

B 
Std.
Error 
Beta 

1 
(Constant) 
10.082 
.121 

83.238 
.000 
asian 
.437 
.599 
.022 
.730 
.466 

black 
2.168 
.275 
.245 
7.880 
.000 

hispanic 
1.144 
.482 
.073 
2.371 
.018 

indian 
1.847 
.802 
.071 
2.304 
.021 

a.
Dependent Variable: grade 
1. What is the
regression equation (2 points)
2. What is the
reference group? (2 points)
3. Interpret the
yintercept (2 points)
4. Interpret the
regression coefficient on Hispanic (2 points)
5. Interpret the
regression coefficient on Asian (2 points)
Question 2: Please answer the following questions based on the information in
Table 2.
Male is coded with 1 = male and 0 = female; white
is coded with 1= white, and 0 = racial/ethnic minorities.
Table
2 Coefficientsa 

Model 
Unstandardized
Coefficients 
Standardized
Coefficients 
t 
Sig. 

B 
Std.
Error 
Beta 

1 
(Constant) 
7.405 
.204 

36.260 
.000 
male 
2.213 
.197 
.328 
11.232 
.000 

white 
1.462 
.221 
.193 
6.604 
.000 

a.
Dependent Variable: grade 
1. What is the
regression equation (2 points)
2. Interpret the
yintercept (2 points)
3. What is the
expected grade for female whites? (1 point)
4. What is the
expected grade for male whites? (1 point)
5. What is the
expected grade for male minorities? (1 point)
6. Interpret the
regression coefficient on male (2
points)
7. Interpret the
regression coefficient on white (2
points)
(Bonus)
Does the equation generate a line or several points? If it generates several
points, how many points specifically for this question? (2 points)