reference: https://docs.google.com/document/d/1x3LgvBPoGRoCEiCRhQFew6Wf31fkg3zTYJxURjGKCqo/edit?usp=sharing

he data ``Diabetes'' on Brightspace is related to the study of the association between diabetes and other health factors for 300 women. The list of variables is pregnant: Number of times pregnant glucose: Plasma glucose concentration (glucose tolerance test) pressure: Diastolic blood pressure (mm Hg) mass: Body mass index (weight in kg/(height in m-square) age: Age (years) diabetes: Class variable (test for diabetes) Positive=1, Negative=0

(a) [2 marks] make a logistic regression model for diabetes based on all other variables (Model 1).

( b) [2 marks] make logistic regression for diabetes based on glucose and mass (Model 2). Find OR and 95\% CI for mass and interpret it.

(c) [1 mark] Add interaction term to model 2 (Model 3) and test whether it is a significant term or not.

(d) [2 marks] Consider Model 2 and find the OR and interpret it for glucose if it increases 10 units.