Multiple Regression Problem, Diabetes Data.We have some data on 442 diabetes patients.The dependent variable is labeled as Y, and is described "disease progression measured one year after a baseline measure was taken."A focus of the research is to identify factors that influence disease progression of diabetes.Of particular concern is to determine which components of total cholesteral, LDL, HDL, or TG, influence diabetes progression.

The independent variables are: Variable Measurement Description BMI Continuous Body Mass Index BP Continuous Systolic Blood Pressure LDL Continuous Low-Density lipoproteins, generally viewed as the bad kind HDL Continuous High-Density lipoproteins, generally viewed as the good kind TG Continuous Triglyceride level Some basic summary statistics for the variables are given below. Column N Mean Std Dev Sum Minimum Maximum Y 442 152.1330 77.0930 67243.00 25.00 346.00 BMI 442 26.3758 4.4181 11658.10 18.00 42.20 BP 442 94.6470 13.8313 41834.00 62.00 133.00 LDL 442 115.4390 30.4131 51024.10 41.60 242.40 HDL 442 49.7885 12.9342 22006.50 22.00 99.00 TG 442 119.5580 71.0254 52844.90 26.00 448.99 The regression model results are given below. Summary of Fit RSquare 0.4772 RSquare Adj 0.4712 Root Mean Square Error 56.0596 Mean of Response 152.1335 Observations (or Sum Wats] 442 Analysis of Variance Source DF Sum of Squares Mean Square F Ratio Model 5 1250802.86 250160.57 79.6012 Error 436 1370206.26 3142.67 Prob > F <.0001 c. total parameter estimates term estimate std error t ratio prob>|t) Std Beta Intercept -97.7374 28.2790 -3.4562 0.0006 0 LDL -0.1068 0.0923 -1.1569 0.248 -0.0421 HDL -0.8362 0.2306 -3.6256 0.0003 -0.1403 TG 0.2727 0.0436 6.253 <.0001 bmi bp>