Question: You have enrolled 250 pregnant mothers into a maternal child health study to assess the effects of social determinants on the birth cohort. You are interested in the predictive effects of maternal age (in years), income (in dollars), and years of education on body weight in pounds of their new born infants. Answer the following:

a. What type of statistical test would you choose and why? Provide statistical justification for your answer.

b. Define two important assumptions that must be met in order to conduct this type of analysis.

c. You found collinearity in your model between maternal age and income. How did you assess this and what is your plan to remedy this situation?

d. You found three extreme outliers of maternal age relative to the rest of the population. How may this affect your findings? How was this identified and what is your plan to remedy this situation?