Healthy living has always been an important goal for any society. In a recent ad campaign for Walt Disney, First Lady Michelle Obama shows parents and children that eating well and exercising can also be fun (USA TODAY, September 30, 2010). Consider a regression model that conjectures that fruits and vegetables and regular exercising have a positive effect on health and smoking has a negative effect on health. The sample consists of the percentage of these variables observed in various states in the United States in 2009. A portion of the data is shown in the accompanying table; the entire data set, labeled Healthy_Living, can be found on the text website.

a. Estimate the model Healthy = β0 +β1Fruits/Vegetables + β2Exercise + β3Smoke + .
b. Analyze the data to determine if multi-co-linearity and changing variability arepresent.

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Healthy Fruits/Vegetables Exercise Smoke State AK AL (9%) 88.7 78.3 (9%) 60.6 41 23.3 14.6 20.3 16.4 WY 87.5 23.3 57.2 15.2