What is the expected grade for female whites?
statistics
Description
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
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.
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
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)
