Need help for c, d, and e

Problem 1 You were asked to help with analysis of minimum inhibitory concentrations of antibiotics among 1000 TB infected subjects. The aim of the analysis is to see whether the minimum inhibitory concentrations of antibiotics (ICA) among TB subjects are associated with AGE (continuous variable in years) and REGION (the REGION variable contains 5 categories North America, East Europe", "Asia, Sub- Saharan Africa and South America), and SEX (categorical: Male, Female, Declined to Answer). a) How many dummy variables do you need to create to analyze the effect of variable REGION? (1 points) b) How many dummy variables do you need to create to analyze the effect of variable AGE? (1 points) c) Write down the population model that estimates ICA based on variables AGE, REGION, and SEX. Make sure that it is clear what each predictor means. (4 points) d) What will be the degrees of freedom for Omnibus (global) F-test that tests whether the model from part c) is meaningful? (3 points) e) What will be the degrees of freedom for Partial F-tests that tests whether the variable REGION is significantly related to ICA while AGE and SEX are in the model from part c)? (3 points)