The dataset Adelaide_grads.csv presents the survival 50 years after graduation of men and women who graduated between 1938 and 1947 from various Faculties of the University of Adelaide (data compiled by J.A. Keats).

Consider ONLY the information about the Faculties of Arts and Science (all years, both male and female) and answer all of following questions parts a, b, c, and d. Use R to answer all parts and show the R code and solution for each part.

a.) Choose a model selection procedure (backward, forward, or stepwise) to find the model that best fits your data. Check for all possible interactions terms among the covariates in the model. Which model best fits the data?

b.) Assess the overall fit of the best model using regression diagnostics to identify problems indicating model inadequacy.

c.) Use appropriate methods to assess the predictive accuracy of the best model.

d.) Interpret all the regression coefficients of your best model.

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