The manager of a human resources department wishes to predict the salary of an employee based on years of experience,x,and gender,g.(g = 1 for a male employee and 0 for a female employee).A random sample of 50 employees results in the following least-squares regression equation:
= 40,000 + 2,500 x + 1,500 g +1,000 xg.What is the least-squares regression line for predicting the salary of male employees?
A) = 41,500 + 3,500x
B) = 40,000 + 3,500x
C) = 40,000 + 2,500x
D) = 41,500 + 1,500g
E) = 40,000 + 4,000x

Question

The manager of a human resources department wishes to predict the salary of an employee based on years of experience,x,and gender,g.(g = 1 for a male employee and 0 for a female employee).A random sample of 50 employees results in the following least-squares regression equation: 
= 40,000 + 2,500 x + 1,500 g +1,000 xg.What is the least-squares regression line for predicting the salary of male employees?
A) = 41,500 + 3,500x 
B) = 40,000 + 3,500x 
C) = 40,000 + 2,500x 
D) = 41,500 + 1,500g 
E) = 40,000 + 4,000x

Quizplus · Accepted Answer

To predict the salary of male employees, we will set g=1 in the given regression equation.
11ea7dab_39ef_602c_b67a_61565138f764_TB3448_11_TB3448_11
= 40,000 + 2,500 x + 1,500 g +1,000 xg
= 40,000 + 2,500 x + 1,500 +1,000 x
= 41,500 + 3,500x
Thus, the least-squares regression line for predicting the salary of male employees is 11ea7dab_39ef_873d_b67a_0faef0f459cd_TB3448_11_TB3448_11
= 41,500 + 3,500x. Answer choice A is correct.

The Manager of a Human Resources Department Wishes to Predict