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. E
o
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 y-intercept (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. E
o
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 y-intercept (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)
2