## What is the expected grade for female whites?

### statistics

##### Description

PMAP 4041: Problem Set 3

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)