I have question about the R coding for the following problem, especially for question (d) I need to use QR decomposition and use qr.Q and qr.R, backsolve functions.

Thanks!

Thiry samples of cheddar cheese were analyzed for their content of acetic acid , hydrogen sulfide and lactice acide . Each sample was tasted and scroed by a panel of judges and the average taste score produced . Used the cheddar data from faraway package to answer the following " a ) Hit 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 correlation between the fitted values and the response . Square it . Identify where this value appears in the regression output . C ) Fit the same regression model but without the intercept term . What is the value of RS reported in the output ? Compute a more reasonable measure of the goodness - of - fit for this example . d ) Compute the regression coefficients from the original fit using the QR decomposition showing your R code