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...

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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) 2
Answered 2 days AfterJun 30, 2021

Answer To: PMAP 4041: Problem Set 3 Grading: This assignment is worth a total of 34 points (5% of your overall...

Pritam Kumar answered on Jul 03 2021
152 Votes
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 f
ollowing 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)
Reg_eqn: grade= 10.082 + (-0.437)*asian + (-2.168)*black + (-1.144)*hispanic + (-1.847)*indian
2. What is the reference group? (2 points)
Here the reference group is white
3. Interpret the y-intercept (2 points)
The y-intercept value 10.082 is the predicted value of the excluded group white. So, on an average a student would receive a grade of 10.082 if the student belongs to the race "White".
4. Interpret the regression coefficient on Hispanic (2 points)
The regression coefficient of Hispanic is -1.144. So, the Hispanic variable has a negative relation with the...
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