Please provide detail solution and R codes

Problem 3. Using the sat data in the faraway package, fit a model with the total SAT score as the response and expend, salary, ratio and takers as predictors. Perform residual diagnostics on this model to answer the following questions. (a) Check the constant variance assumption for the errors. (b) Check the normality assumption. (c) Check the linearity assumption. (d) Make necessary transformation if any of the conditions in (a) - (c) is not satisfied, and check the three conditions again