## Exercise 1 Using the birthwt dataset discuss about the investigate using anova linear models which are the best predictor of the bwt variable. Does Age and smoke influence the weight at birth? Try model with different polynomial degree and select the best model. Motivate the decision and produce diagnostic plot verifying the assumptions of the model. ## Exercise 2 Get the dataset "LifeCycleSavings" from package "datasets". (Install the package if it is not installed) Describe the dataset and present some exploration plot (boxplots, pairs etc.) Explore the relationship between the saving rate variable and all the other variables. Apply a Leave One Out procedure to select the best model. Select the model using the AIC criterion and compare the two results. For the best model produce some diagnostic plot verifying the assumption of the linear model. Considering different polynomial functions for model fitting try different values and discuss wheter it improves the best model.