Quantitative Methods in Finance: Statistical Analysis Report

This report provides a comprehensive analysis of quantitative methods applied to a finance dataset. It begins with calculating descriptive statistics, including measures of central tendency and dispersion for variables such as salary, satisfaction scores, and ATAR scores. The report then visualizes the distribution of satisfaction rates using a histogram and ATAR scores with a box and whisker plot. Further analysis includes the creation of a contingency table to examine relationships between ATAR scores and average salaries. Regression analysis is performed to test the impact of ATAR scores on salary, estimate confidence intervals, and test claims at a 1% significance level. A multiple linear regression model is developed to explore the influence of various factors on graduate salary, including satisfaction, ATAR, and university-specific dummy variables. The report interprets the coefficients of the regression model, including the slope and the adjusted R-squared, to assess the model's statistical significance and explanatory power. Finally, the report discusses other factors that significantly impact graduate salary and concludes with an assessment of the model's assumptions and sampling procedures. All analyses are conducted using statistical tools and techniques to provide insights into the relationships between different variables within the financial context.