Economics and Quantitative Analysis
Linear Regression Report
Background
In your role as an economic analyst you have been asked the following question: how much does education influence wages?
The Excel data file (wages) contains 100 observations for each of the following variables:
|
Variable
|
Label
|
|
Wage
|
Earnings per hour
|
|
Educ
|
Years of education
|
Instructions
Conduct a simple linear regression analysis to examine the relationship between ‘education' (the independent variable) and ‘wages' (the dependent variable). Using the Excel data file, prepare a 1200 word report using the following structure:
Purpose
In this section, the purpose of the report needs to be clearly and concisely stated.
Background
In this section, write a brief overview on the association between education and earnings. Why would economists be interested in this particular issue?
Method
In this section, provide an overview of the empirical approach used to examine the association between education and wages.
Results
In this section, you need to present and summarize the results from your statistical analysis. In particular, the result sections must:
- Provide a descriptive analysis of the two variables (e.g., mean, standard deviation, minimum and maximum).
- Develop a scatter diagram with education as the independent variable. What does the scatter diagram indicate about the relationship between the two variables?
- Estimate a regression equation that can be used to predict the wages given the level of education.
- State the estimated regression equation and interpret the meaning of the slope coefficient.
- Is there a statistically significant association between education and wages? What is your conclusion?
- Did the regression equation provide a good fit? Explain.
- Calculate the predicted wages for a person with 12 and 14 years of education, respectively. What is the difference in hourly wage rate?
Discussion
In this section, provide a brief overview of the results. What are the key strengths and limitations of this analysis? (e.g., data, method, etc.). How do the results from this analysis compare with other studies? (e.g., are the findings consistent?). Do these findings have clear policy implications?
6. Recommendations
In this section, you should present three well-considered recommendations.
Attachment:- wages.xlsx