This document presents a comprehensive solution to a statistics assignment (STA101) focusing on business applications. The solution addresses four key questions. Question 1 involves calculating covariance, the correlation coefficient, and determining the least squares line from given data, along with a discussion of the relationship between variables. Question 2 focuses on hypothesis testing related to a regression model, including the interpretation of p-values and the coefficient of determination. Question 3 explores probability calculations, specifically determining the probabilities of malignant and benign cases based on given data. Finally, Question 4 delves into descriptive statistics, calculating measures of central tendency (mean, median, mode), identifying outliers, and discussing data distribution using standardization and the empirical rule. The assignment utilizes concepts like correlation, regression, hypothesis testing, and descriptive statistics to analyze and interpret the data. The document includes all calculations, interpretations, and relevant references.
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