Scientists are interested in various predictors of HDL (the so- called good cholesterol). In particular, they are interested in predictive capability of the presence of a substance called sinking pre-beta. The file prebeta.sas7bdat contains HDLC HDL cholesterol (mg/dl) TOTC total cholesterol (mg/dl) TRIG tirglyceride (mg/dl) PREBETA pre-beta (0=absent/1=present) Answer the following questions. Be prepared to back up your assertions with the appropriate analyses. Are TOTC, TRIG, PREBETA alone (that is, individually) predictive of HDL? Are TOTC, TRIG, and PREBETA together predictive of HDL? Do the three possbile two-variable interactions between the predictors provide additional predictive capability? Is there evidence of confounding between X1, X2, X3? Research Question 1: Does the predictive capability of TOTC and TRIG change according to whether a person has sinking prebeta? Research Question 2: Does pre-beta itself help predict HDL?