A study is conducted in patients with HIV. The primary outcome is CD4 cell count, which is a measure of the stage of the disease. Lower CD4 counts are associated with more advanced disease. The investigators are interested in the assocition between vitamin and mineral suppliments and CD4 count. A multiple regression analysis is performed relating CD4 count to the use of supplements(coded as 1=yes and 0=no) and to the duration of HIV in years(i.e., the number of years betwen the diagnosis of HIV and the study date).For the analysis y = CD4 count:
Y= 501.41 + 12.67 (supplements)-30.23(Duration of HIV).
a. what is the expected CD4 count for a patient taking supplements who has had HIV for 2.5 years?
b. What is the expected CD4 count for a patient not taking supplements who was diagnoised with HIV at study enrollment?
c. What is the expected CD4 count for a patient not taking supplements who has had HIV for 2.5 years?
The solution is comprised of detailed step-by-step calculation and explanation of the the given problems related to Correlation and Regression. This solution provides students with a clear perspective of the underlying statistical aspects.