A nutritionist wants to understand the influence of income and healthy food on the incidence of smoking. He collects 2009 data on the percentage of smokers in each state in the United States and the corresponding median income and the percentage of the population that regularly eats fruits and vegetables. A portion of the data is shown in the accompanying table; the entire data set, labeled Smoking, can be found on the text website.

a. Estimate: Smoke = β0 + β1Fruits/Vegetables + β2Median Income + ε.
b. At the 5% level of significance, are the explanatory variables individually and jointly significant? Explain.
c. Use the sample correlation coefficients to evaluate the potential problem ofmulticollinearity.

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State AK AL Smoke (%) 14.6 16.4 Fruits Negetables Median Income 61,604 39,980 23.3 20.3 WY 15.2 23.3 52,470