This question is from An Introduction to Statistical Learning and should be done in R.

9. This question involves the use of multiple linear regression on the Auto data set. (a) Produce a scatterplot matrix which includes all of the variables in the data set. (b) Compute the matrix of correlations between the variables using the function corO. You will need to exclude the name variable cor O which is qualitative (c) Use the 1mO function to perform a multiple linear regression with mpg as the response and all other variables except name as the predictors. Use the summary function to print the results. Comment on the output. For instance: i. Is there a relationship between the predictors and the re- sponse? ii. Which predictors appear to have a statistically significant relationship to the response? iii. What does the coefficient for the year variable suggest? (d) Use the plotO function to produce diagnostic plots of the linear regression fit. Comment on any problems you see with the fit Do the residual plots suggest any unusually large outliers? Does the leverage plot identify any observations with unusually high leverage? (e) Use the and symbols to fit linear regression models with (f) Try a few different transformations of the variables, such as log(X), VX, X2. Comment on your findings. 9. This question involves the use of multiple linear regression on the Auto data set. (a) Produce a scatterplot matrix which includes all of the variables in the data set. (b) Compute the matrix of correlations between the variables using the function corO. You will need to exclude the name variable cor O which is qualitative (c) Use the 1mO function to perform a multiple linear regression with mpg as the response and all other variables except name as the predictors. Use the summary function to print the results. Comment on the output. For instance: i. Is there a relationship between the predictors and the re- sponse? ii. Which predictors appear to have a statistically significant relationship to the response? iii. What does the coefficient for the year variable suggest? (d) Use the plotO function to produce diagnostic plots of the linear regression fit. Comment on any problems you see with the fit Do the residual plots suggest any unusually large outliers? Does the leverage plot identify any observations with unusually high leverage? (e) Use the and symbols to fit linear regression models with (f) Try a few different transformations of the variables, such as log(X), VX, X2. Comment on your findings