Assignments Applied Regression Analysis and Other Multivariable Methods, 5th ed, Kleinbaum et. al. Incorporate any generated computer output. Show all work. Chapter 11: Confounding and Interaction Pages: 242-256 Due ________________ 2, 3, 4 Problem 2: a) Using the appropriate regression coefficient as your measure of association, determine whether confounding exists. Explain. b) Suppose that confounding was defined to require a comparison of crude versus adjusted (partial) correlation coefficients. What conclusion would you draw? Problem 3: a) Using the appropriate regression coefficient as your measure of association, determine whether confounding exists. Explain. b) Suppose that confounding was defined to require a comparison of crude versus adjusted (partial) correlation coefficients. What conclusion would you draw? c) What does this example illustrate about using a test of the hypothesis H0: 2 = 0 in order to assess confounding. Problem 4: a) Fill in the following ANOVA table for the model Y 0 1 x1 2 x2 3 x3 . source df SS MS X1 Regression X 2 | X 1 X | X , X 3 1 2 Residual total b) c) d) e) f) 52 Test if X2 should be entered into a model already containing X1. Test if X3 should be entered into a model already containing X1 & X2. Test if X2 & X3 should be entered into a model already containing X1. Based upon the previous tests, what is the most appropriate regression model? Based upon the information provided, can you assess whether X1 is a confounder of the X2-Y relationship? Explain