University of Southern Denmark: Quantitative Analysis Exam Solution

This document presents a comprehensive solution to an Advanced Tools for Quantitative Analysis exam. The solution covers a range of statistical techniques, including correlation matrix analysis, regression analysis, and ANOVA. The first part of the solution examines the relationship between births, BOM, income, and trend using regression models, with detailed output and interpretation. The second part explores seasonal patterns in building and construction GDP using regression analysis and HEGY tests. The third part delves into descriptive statistics, histograms, and outlier analysis of house expenses, including sign tests. The fourth part employs the Kruskal-Wallis test to compare the impact of advertisements on three supermarkets. Finally, the fifth part utilizes one-way and two-way ANOVA to analyze item scanning rates and interactions between supermarkets and assistants. The document provides detailed interpretations of the results, including p-values, F-values, and critical values, to draw conclusions about the hypotheses.