The document discusses using Pearson's correlation to analyze the relationship between a mother's body mass index (BMI) and birth weight. It indicates that Pearson's correlation is the most suitable test since BMI and birth weight are both continuous variables that are likely normally distributed. The results of running the Pearson's correlation on the data show a positive and fair correlation between a mother's BMI and birth weight, suggesting that as a mother's BMI increases so does the birth weight of their baby.