You are part of a team of researchers examining potential pay disparity between the male and female employees of a private prison. One member of your team, Mr. Green, reports that female employees are paid less than male employees. Another member of the team, Mr. Brown, argued that on average the male employees have worked at the prison longer and any pay disparity is due to seniority. Mr. Green contends that not only are female employees paid less they get smaller salary increases. Mr. Brown quits, claiming that Mr. Green is too hard to work with. Based on the data below, you have been asked to resolve the debate and answer the following questions: Male Female 300 200 Mean Salary in $1000 30 20 Mean Years with the Firm 12 8 Covariance of Salary & Years 12 2 Variance of Years with the Firm 16 4 Show your work : 1. Who is right Mr. Green, or Mr. Brown?

You are part of a team of researchers examining potential pay disparity between the male and female employees of a private prison. One member of your team, Mr. Green, reports that female employees are paid less than male employees. Another member of the team, Mr. Brown, argued that on average the male employees have worked at the prison longer and any pay disparity is due to seniority. Mr. Green contends that not only are female employees paid less they get smaller salary increases. Mr. Brown quits, claiming that Mr. Green is too hard to work with. Based on the data below, you have been asked to resolve the debate and answer the following questions: Male Female 300 200 Mean Salary in $1000 30 20 Mean Years with the Firm 12 8 Covariance of Salary & Years 12 2 Variance of Years with the Firm 16 4 Show your work : 1. Who is right Mr. Green, or Mr. Brown?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

We’re suppose to show our work using the formula for regression, but I’m not sure how too.

You are part of a team of researchers examining
potential pay disparity between the male and female
employees of a private prison. One member of your team,
Mr. Green, reports that female employees are paid less than
male employees. Another member of the team, Mr. Brown,
argued that on average the male employees have worked at
the prison longer and any pay disparity is due to seniority.
Mr. Green contends that not only are female employees
paid less they get smaller salary increases. Mr. Brown quits,
claiming that Mr. Green is too hard to work with. Based on
the data below, you have been asked to resolve the debate
and answer the following questions:
Male
Female
N
300
200
Mean Salary in $1000
30
20
Mean Years with the Firm
12
8
Covariance of Salary & Years 12
Variance of Years with the Firm
2
16
4
Show your work :
1. Who is right Mr. Green, or Mr. Brown?

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