The Manager of a Human Resources Department Wishes to Predict

question 11

Multiple Choice

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 female employees?

• A) = 40,000 + 4,000x
• B) = 41,500 + 1,500g
• C) = 40,000 + 2,500x
• D) = 40,000 + 3,500x
• E) = 41,500 + 3,500x

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Definitions:

Quantitative Data

Numerical information that can be measured and quantified, allowing for mathematical calculations and statistical analysis.

Interval

A range of values within which a measurement or variable can fall, often used in statistics to estimate uncertainty.

Ordinal

Relating to a categorical ranking or ordering of data where the order of the values is significant, but the differences between them are not necessarily consistent or known.

Ratio

A quantitative relationship between two numbers, showing how many times the first number contains the second.