This document presents a comprehensive statistical analysis project focusing on fuel price data from Queensland, Australia. The project, completed for Southern Cross University's MAT10251 course, explores various statistical techniques to analyze the relationship between unleaded 91 and diesel fuel prices. It begins with a hypothesis test comparing fuel prices in the capital city versus other regions, utilizing a two-sample t-test with unequal variances to determine if the mean price of unleaded 91 is lower in the capital. The analysis includes interpretation of the t-statistic, p-value, and the decision to reject the null hypothesis. Further, the project investigates the correlation between unleaded 91 and diesel prices using a simple linear regression model, including the development of a scatter plot, and the interpretation of regression and correlation coefficients, including the R-squared value. Finally, the project extends to a multiple linear regression model to determine the influence of location on the relationship between unleaded 91 and diesel prices. The findings suggest location impacts the relationship between the two products. The document includes detailed statistical calculations, interpretations, and appendices with supporting tables and figures.