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Consider the forbes_2022 data.
a.Fit a linear regression model to these data using Market.Value as the response variable and
the other variables as the predictors.
b.Analyze the residuals to check the adequacy of the model. Use the plot() function in R to see
the plots of this linear model.
c. Generate a 95% prediction interval for profits corresponding to sales of 200 (billions of dollars),
profits of 15 (billions of dollars) and assets of 500 (billions of dollars).
d. Test if all of the independent variables are needed in this model. Should the original model
be modified? Justify your answer.
e. Calculate the AIC for the full model and the model you choose.