Using the happy dataset in library (faraway) in R, fit a model with happy as the response and the other variables as predictors. Preform regression diagnostics on this model to answer the following questions. Display any plots that are relevant. Do not provide any plots about which you have nothing to say. Suggest possible improvements or corrections
to the model where appropriate. Answer questions (a)–(f) below.
(a) Check the constant variance assumption for the errors.
(b) Check the normality assumption.
(c) Check for large leverage points.
(d) Check for outliers.
(e) Check for influential points.
(f) Check the structure of the relationship between the predictors and the response.