The National Opinion Research Center administered the General Social Survey (GSS) in 2010 to persons in the United States who were 18 years of age or older. One question asked respondents for their highest grade of school completed (Respondent’s Years of Education). Another question asked respondents for the highest grade of school that their father had completed (Father’s Years of Education). The equation for the least squares regression line for predicting a respondent’s years of education, ŷ, from the years of education for the respondent’s father, x, is:

Question

The National Opinion Research Center administered the General Social Survey (GSS) in 2010 to persons in the United States who were 18 years of age or older. One question asked respondents for their highest grade of school completed (Respondent’s Years of Education). Another question asked respondents for the highest grade of school that their father had completed (Father’s Years of Education). The equation for the least squares regression line for predicting a respondent’s years of education, ŷ, from the years of education for the respondent’s father, x, is:

ŷ = 9.996 + 0.355x

For a respondent who was predicted to have 14 years of education, the residual is 3. Which of the following statements is true?

A.
The respondent actually had 11 years of education

B.
The respondent actually had 14 years of education

C.
The respondent actually had 3 years of education

D.
The respondent actually had 17 years of education

Answer 1

A. The respondent actually had 11 years of education.