A cohort study was conducted to evaluate factors impacting low birth weight in infants (less than 2500 grams). They enrolled 189 patients. The following variables are included in the dataset (HW6Q1):
Age: Mother’s age
lwt : Mother weight in pounds
smoke: smoking status: (1=smoke and 0=no smoke)
low : Low baby’s birth weight: (1=<2500g and 0=>2500g)
ui : Presence of Uterine Irritability: (1=Yes 0=No)
race : Race of Mother (1=White, 2=Black, 3=other)
ht : History of hypertension (1=Yes, 0=No)
ftv : Number of physician visits during the first trimester (0=none, 1=one, 2=two, etc)
ptl : History of premature labor (0=none, 1=one, etc)
bwt : Birth weight in grams
A. (10 points) Fit a logistic regression model for the baby’s low birth weight (Y), including the mother’s age as an independent variable. And write out your model in Logit form.
B. (10 points) Interpret the Odds Ratio of age.
C. (10 points) Fit a multivariable logistic regression model for baby’s low birth weight (Y), including the mother’s age, smoke, and History of premature labor as independent variables. Using the backward selection method, what variables do you select to include in the final model?