Advanced Statistics PM608: Statistical Analysis Report on Exoplanets

This report presents a statistical analysis of exoplanet data, focusing on the relationship between a star's characteristics (sun-like or super-massive) and the potential for orbiting exoplanets. The analysis includes data quality checks, measures of central tendency, and measures of spread. Regression analysis is employed to explore the correlation between the distance from the galactic center and the decrease in light intensity. Scatter plots, least squares regression lines, correlation coefficients, and residual plots are used to visualize and assess the regression model's validity. Furthermore, the report calculates and interprets 95% and 99% confidence intervals to compare the data sets of sun-like and super-massive stars, providing insights into the statistical significance of observed differences. Recommendations are provided to improve the analysis and suggest further research directions, such as the use of regression models, appropriate confidence levels, the inclusion of qualitative data, and the consistency of the current study with previous research.