Assignment 5: Correlation, OLS Regression and Logistic Regression Due: Week of 20 March 2017 1. The data lowbwt.csv contain information collected for a sample of 100 low birth weight infants born in two teaching hospitals in Boston. Measurements of systolic blood pressure are saved under the variable name sbp, and values of the Apgar score recorded five minutes after birth - an index of neonatal asphyxia or oxygen deprivation - are saved under the name apgar5. The Apgar score in an ordinal random variable that takes values between 0 and 10. (a) Estimate the correlation of the systolic blood pressure and five-minute Apgar score for this population of low birth weight infants. (b) Does Apgar score tend to increase or decrease as systolic blood pressure increases? (c) Test the null hypothesis Ho: p = 0. What do you conclude?