Solve the following question by showing the R codes Use the "cheddar" dataset in "Faraway" package of R to solve the following problem.

Solve the following question by showing the R codes

Use the "cheddar" dataset in "Faraway" package of R to solve the following problem.

Thirty samples of cheddar cheese were analyzed for their content of acetic acid, hydrogen sulfide and lactic acid. Each sample was tasted and scored by a panel of judges and the average taste score produced. Use the cheddar data to answer the following:

(a) Fit a regression model with taste as the response and the three chemical contents as predictors. Report the values of the regression coefficients.

(b) Compute the regression coefficients from the original fit using the QR decomposition showing your R code.