Answer:
Hello your question has some missing information attached below is the missing information
answer :
i) ( 0.158 , - 1.018 )
ii) the difference in expected earnings can be computed as
( [tex]X_{6,A} - X_{5,C} ) = \beta _{0} + \beta _{6} - ( \beta _{0} - \beta _{5} ) = \beta _{6} - \beta _{5}[/tex]
Step-by-step explanation:
i) Construct a 95% confidence interval ( between Juanita and Molly )
Expected difference in earnings = ( X[tex]_{6}[/tex][tex]_{,A}[/tex] - X[tex]_{6.B}[/tex]) = [tex]\beta _{0}[/tex]= ( [tex]\beta + \beta _{6}[/tex] )
∴ 95% confidence interval
-0.43 ± 1.96 * 0.30 = [ -0.43 ± 0.588 ] = ( 0.158 , - 1.018 ) ( hence confidence interval at 95% = 1.96 )
ii) Construct a 95% confidence interval ( between Juanita and Jennifer )
Juanita is a student from the south and Jennifer is a student from Midwest
therefore the difference in expected earnings can be computed as
( [tex]X_{6,A} - X_{5,C} ) = \beta _{0} + \beta _{6} - ( \beta _{0} - \beta _{5} ) = \beta _{6} - \beta _{5}[/tex]
therefore a 95% confidence interval can be calculated with the above regression model.
