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Causations of Income
Jarred D. Riccadonna
MBA 506 Project
Dr. Hajiran
Spring, 2014
Table of Contents
Executive Summary...................................................................................................................................3
Introduction................................................................................................................................................4
Regression Analysis and Information........................................................................................................4
Equation:....................................................................................................................................................4
Interpretation of the Data...........................................................................................................................5
Forecasting / Predicting.............................................................................................................................5
Supporting Studies.....................................................................................................................................6
Conclusion.................................................................................................................................................7
Works Cited...............................................................................................................................................8
Executive Summary
Problem:
Which independent variables influence income (the dependent variable) the most? The
independent variables are education, length of employment, and gender.
Results:
The independent variable I anticipated to play the most statistically relevant factor in
determining income was education. I did find that to be true. Out of the three independent variables,
education seemed to play the biggest factor of all the three in relation to the regression analysis ran.
Gender played the least significant impact, which shows that there is little to no discrimination toward
salary.
Equation:
Y = 0.65X1 + 0.23X2 + -0.20X3, upon multiple regression ran
T-values: (5.77) (3.12) (-0.81)
Where:
Y = Annual Salary
X1 = Education
X2 = Length of Employment
X3 =(Gender)
Regression Ran R2
Se
Data: 0.56 0.75
Observations: 40 Type: Time Series
Benefits:
By reading and understanding the relevance behind the statistics posted and study ran, one will
be able to conclude the importance behind a higher income and what employers are typically looking
for in determining salary. Everybody always preaches and describes education and experience;
however, being able to actually infer data and have the empirical evidence shown to back up these
hypotheses will enable individuals to see which independent variables yield the best income in the
workforce.
3
Jarred D. Riccadonna
MBA 506 Project
Dr. Hajiran
Introduction
The purpose of this research is to find a direct cause and effect regarding income in the form of
a regression analysis. Data will be obtained by using a random number generator in Excel and having
the regression ran on 40 observations to interpret the output the regression shows. The dependent
variable is income (herein stated as “dependent variable”). The remaining data obtained (herein stated
as “independent variables”) will help determine the biggest influence for a higher level of income. By
doing so, the reader will be able to deduce which independent variable(s) play the largest role in the
level of annual income acquired. The data in this study assumes Ceteris Paribus, accurate data, and
contains no regression analysis pitfalls.
Regression Analysis and Information
Each independent variable would have a positive influence on income. Because of this, the
equation derived from the independent variables are added respectively within the equation and hold
the value based on the multiple regression analysis ran using the data from the Excel spreadsheet
(attached hereto as Annex A).
Equation:
X = 0.65X1 + 0.23X2 + -0.20X3, upon multiple regression ran
T-values: (5.77) (3.12) (-0.81)
Where:
X = Annual Salary
X1 = Education
X2 = Length of Employment
X3 =(Gender)
Regression Ran R2
Se
Data: 0.56 0.75
Observations: 40 Type: Time Series
4
Jarred D. Riccadonna
MBA 506 Project
Dr. Hajiran
Interpretation of the Data
By running the multiple regression, I came to find positive findings within the data relating to
the coefficient of determination (R2
), t-values, and the standard error of the estimate (SE). The
coefficient of determination explains the percentage of variation in the dependent variable (income) by
the variation in the independent variables. After running the multiple regression, the coefficient of
determination showed a 0.56. This means 56% of the independent variables explain the effect on
income, and the remaining 44% is explained by other factors not listed in the analysis.
Next, t-values are a determining factor as to whether or not a variable is statistically significant
to the dependent variable. In order for a variable to be considered statistically significant, the t-value
must be a two or higher. Income had a t-value of 2.34, education 5.77, length of employment 2.95, and
gender -0.91. As predicted, education appears to be the most significant factor relating to income. On
the contrary, gender has a negative t-value, which in this case would be classified as a good thing
because the statistical insignificance shows that income-based gender discrimination is not happening
in this study.
The standard error of the estimate (SE) shows the deviation around the best linear unbiased
estimate line that best fits. In other words, the deviation shown helps find the best linear unbiased
estimate equation to be graphed around the standard error estimate. In this analysis, the SE is 0.75,
which tells the deviation in the data resulting from the multiple regression ran.
Forecasting / Predicting
I forecasted education would continue to be the largest influence affecting income the most for
my next two data points regarding the study. The two points did not directly show this. Instead, the
numbers had shown that length of employment played the greatest factor out of the independent
variables. Two other independent variables that may have made this study more precise and make the
5
Jarred D. Riccadonna
MBA 506 Project
Dr. Hajiran
coefficient of variation closer to one could be age range and work experience in the industry.
Supporting Studies
I collected information from other studies relating to income and my independent variables and
the research shows both similar and different results to my hypothesis. Reference for this data is under
the works cited page of the materials.
According to a study from the United States government, education had been set up as a range
between “less than high school” up to “doctoral degree”. Much as my hypothesis suggested, the
professional and doctoral degrees were most significant in reflecting median weekly earnings for
persons age 25 or over in 2013. The lower the degree, the less median weekly income would be
acquired (www.bls.gov).
Next, we look at how length of employment can be an independent variable for income. An
6
Jarred D. Riccadonna
MBA 506 Project
Dr. Hajiran
explanation of payment and salary by Susan Heathfield informs that there are multiple ways pay can be
incorporated with length of employment. Initially, there is the salary negotiation upon being hired
regarding fairness and contribution. Credentials and experience play a pivotal role in this process.
Next, a pay grade is determined. Pay grade is a range of annual income, much like the numbers ran in
the regression within the study. Once an employee reaches the top of their pay grade, they can receive
a raise called a cost of living allowance or obtain a promotion based on employer discretion. Years of
employment and job performance are the top two key components for receiving a raise or promotion
within a firm (humanresources.about.com).
Last, we look how gender discrimination can play a factor on income from other studies in
comparison to this study. My data shows gender does not play an important role in determining
education. However, studies show from multiple women’s organizations that gender discrimination is
problematic in today’s business world. Multiple studies suggests that “women on average earn 82% of
what their male peers earn” and that women typically earn 7% less than males do in a similar
occupation. Also, 53% of women graduates were paying a greater portion of their annual income
toward their student loans in comparison to 39% of men. These statistics challenge my data, which
shows that gender discrimination can still play a role in income. The unfortunate side is that most
private sector jobs do not disclose salaries. This likely prevents anyone from being able to prove that
gender discrimination exists in the workplace.
Conclusion
There are difficulties determining what factors can play the largest role relating to income.
Many firms look for many different things in the hiring process when determining how much a person
can get paid. However, most job qualifications and core competencies require a college degree,
typically a Bachelor’s at the very least. As my study and hypothesis suggests, education is still the
7
Jarred D. Riccadonna
MBA 506 Project
Dr. Hajiran
initial influence on income for employers hiring in the workplace.
Works Cited
http://humanresources.about.com/od/glossaryp/g/pay-grade.htm
http://www.bls.gov/emp/ep_chart_001.htm
http://www.usatoday.com/story/money/personalfinance/2012/10/24/gender-pay-gap/1652511/
8
Annex A
Multiple Regression Data
(attached)
Annex A
Multiple Regression Data
(attached)

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MBA 506 Project Hajiran_Regression Analysis

  • 1. Causations of Income Jarred D. Riccadonna MBA 506 Project Dr. Hajiran Spring, 2014
  • 2. Table of Contents Executive Summary...................................................................................................................................3 Introduction................................................................................................................................................4 Regression Analysis and Information........................................................................................................4 Equation:....................................................................................................................................................4 Interpretation of the Data...........................................................................................................................5 Forecasting / Predicting.............................................................................................................................5 Supporting Studies.....................................................................................................................................6 Conclusion.................................................................................................................................................7 Works Cited...............................................................................................................................................8
  • 3. Executive Summary Problem: Which independent variables influence income (the dependent variable) the most? The independent variables are education, length of employment, and gender. Results: The independent variable I anticipated to play the most statistically relevant factor in determining income was education. I did find that to be true. Out of the three independent variables, education seemed to play the biggest factor of all the three in relation to the regression analysis ran. Gender played the least significant impact, which shows that there is little to no discrimination toward salary. Equation: Y = 0.65X1 + 0.23X2 + -0.20X3, upon multiple regression ran T-values: (5.77) (3.12) (-0.81) Where: Y = Annual Salary X1 = Education X2 = Length of Employment X3 =(Gender) Regression Ran R2 Se Data: 0.56 0.75 Observations: 40 Type: Time Series Benefits: By reading and understanding the relevance behind the statistics posted and study ran, one will be able to conclude the importance behind a higher income and what employers are typically looking for in determining salary. Everybody always preaches and describes education and experience; however, being able to actually infer data and have the empirical evidence shown to back up these hypotheses will enable individuals to see which independent variables yield the best income in the workforce. 3
  • 4. Jarred D. Riccadonna MBA 506 Project Dr. Hajiran Introduction The purpose of this research is to find a direct cause and effect regarding income in the form of a regression analysis. Data will be obtained by using a random number generator in Excel and having the regression ran on 40 observations to interpret the output the regression shows. The dependent variable is income (herein stated as “dependent variable”). The remaining data obtained (herein stated as “independent variables”) will help determine the biggest influence for a higher level of income. By doing so, the reader will be able to deduce which independent variable(s) play the largest role in the level of annual income acquired. The data in this study assumes Ceteris Paribus, accurate data, and contains no regression analysis pitfalls. Regression Analysis and Information Each independent variable would have a positive influence on income. Because of this, the equation derived from the independent variables are added respectively within the equation and hold the value based on the multiple regression analysis ran using the data from the Excel spreadsheet (attached hereto as Annex A). Equation: X = 0.65X1 + 0.23X2 + -0.20X3, upon multiple regression ran T-values: (5.77) (3.12) (-0.81) Where: X = Annual Salary X1 = Education X2 = Length of Employment X3 =(Gender) Regression Ran R2 Se Data: 0.56 0.75 Observations: 40 Type: Time Series 4
  • 5. Jarred D. Riccadonna MBA 506 Project Dr. Hajiran Interpretation of the Data By running the multiple regression, I came to find positive findings within the data relating to the coefficient of determination (R2 ), t-values, and the standard error of the estimate (SE). The coefficient of determination explains the percentage of variation in the dependent variable (income) by the variation in the independent variables. After running the multiple regression, the coefficient of determination showed a 0.56. This means 56% of the independent variables explain the effect on income, and the remaining 44% is explained by other factors not listed in the analysis. Next, t-values are a determining factor as to whether or not a variable is statistically significant to the dependent variable. In order for a variable to be considered statistically significant, the t-value must be a two or higher. Income had a t-value of 2.34, education 5.77, length of employment 2.95, and gender -0.91. As predicted, education appears to be the most significant factor relating to income. On the contrary, gender has a negative t-value, which in this case would be classified as a good thing because the statistical insignificance shows that income-based gender discrimination is not happening in this study. The standard error of the estimate (SE) shows the deviation around the best linear unbiased estimate line that best fits. In other words, the deviation shown helps find the best linear unbiased estimate equation to be graphed around the standard error estimate. In this analysis, the SE is 0.75, which tells the deviation in the data resulting from the multiple regression ran. Forecasting / Predicting I forecasted education would continue to be the largest influence affecting income the most for my next two data points regarding the study. The two points did not directly show this. Instead, the numbers had shown that length of employment played the greatest factor out of the independent variables. Two other independent variables that may have made this study more precise and make the 5
  • 6. Jarred D. Riccadonna MBA 506 Project Dr. Hajiran coefficient of variation closer to one could be age range and work experience in the industry. Supporting Studies I collected information from other studies relating to income and my independent variables and the research shows both similar and different results to my hypothesis. Reference for this data is under the works cited page of the materials. According to a study from the United States government, education had been set up as a range between “less than high school” up to “doctoral degree”. Much as my hypothesis suggested, the professional and doctoral degrees were most significant in reflecting median weekly earnings for persons age 25 or over in 2013. The lower the degree, the less median weekly income would be acquired (www.bls.gov). Next, we look at how length of employment can be an independent variable for income. An 6
  • 7. Jarred D. Riccadonna MBA 506 Project Dr. Hajiran explanation of payment and salary by Susan Heathfield informs that there are multiple ways pay can be incorporated with length of employment. Initially, there is the salary negotiation upon being hired regarding fairness and contribution. Credentials and experience play a pivotal role in this process. Next, a pay grade is determined. Pay grade is a range of annual income, much like the numbers ran in the regression within the study. Once an employee reaches the top of their pay grade, they can receive a raise called a cost of living allowance or obtain a promotion based on employer discretion. Years of employment and job performance are the top two key components for receiving a raise or promotion within a firm (humanresources.about.com). Last, we look how gender discrimination can play a factor on income from other studies in comparison to this study. My data shows gender does not play an important role in determining education. However, studies show from multiple women’s organizations that gender discrimination is problematic in today’s business world. Multiple studies suggests that “women on average earn 82% of what their male peers earn” and that women typically earn 7% less than males do in a similar occupation. Also, 53% of women graduates were paying a greater portion of their annual income toward their student loans in comparison to 39% of men. These statistics challenge my data, which shows that gender discrimination can still play a role in income. The unfortunate side is that most private sector jobs do not disclose salaries. This likely prevents anyone from being able to prove that gender discrimination exists in the workplace. Conclusion There are difficulties determining what factors can play the largest role relating to income. Many firms look for many different things in the hiring process when determining how much a person can get paid. However, most job qualifications and core competencies require a college degree, typically a Bachelor’s at the very least. As my study and hypothesis suggests, education is still the 7
  • 8. Jarred D. Riccadonna MBA 506 Project Dr. Hajiran initial influence on income for employers hiring in the workplace. Works Cited http://humanresources.about.com/od/glossaryp/g/pay-grade.htm http://www.bls.gov/emp/ep_chart_001.htm http://www.usatoday.com/story/money/personalfinance/2012/10/24/gender-pay-gap/1652511/ 8
  • 9. Annex A Multiple Regression Data (attached)
  • 10. Annex A Multiple Regression Data (attached)