6. Perform a complete analysis of the final regression (save all R code and turn it in).

(i) Fit a model log(breast cancer)∼log(prostate cancer) +log(prostate cancer)2.

(ii) Use the residuals to create a filtering matrix.

(iii) Verify that A(residuals) is close to white noise.

(iv) Fit a filtered model to the data.

(v) Verify that the residuals from the filtered model are close to white noise.

(vi) Construct the four plots from the text.

(vii) Verify R2 F and R2 F,pred