(You must work out this part without SAS) 1. (Total 12 pts) Tamoxifen is a drug often used to treat breast cancer patients. One effect of the drug is to change the levels of cortisol-binding globulin (CBG). One study attempted to see if the effect of Tamoxifen is age dependent on the patients age. The response variable Y is the change in CBG and the covariate X is age. The following summary statistics were reported. = 26. _* = 1613 vi=281.9, Sx = 3756.96, Sy = 465.34, Sty = -757.64 (a) (2 pts) Establish the theoretical linea model and propose the Gaussian-Markov assumptions. (b) (2 pts) Find the correlation coefficient and explain in the context of the problem. (c) (2 pts) Find the least squares estimates of the intercept and slope. (d) (2 pts) Find the MSE. (e) (4 pts) Conduct a test toconfirm the utility of this linear model