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A nutritionist wants to understand the influence of income and healthy food on the incidence of smoking. He collects data on the percentage of smokers

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A nutritionist wants to understand the influence of income and healthy food on the incidence of smoking. He collects data on the percentage of smokers in each state in the United States, the percentage of the state's population that regularly eats fruits and vegetables and the state's median income (in $). A portion of the data is shown in the accompanying table. State Smoke Fruits_Vegetables Income AK 14.6 23.3 61, 604 AL 16.4 20.3 39, 980 WY 15.2 23.3 52, 470 Click here for the Excel Data File a-1. Estimate a linear model: Smoke = 60 + 61Fruits_Vegetables + 02Income + . (Negative values should be indicated by a minus sign. Round your answers to 4 decimal places.) Predicted Smoke = Fruits_Vegetables + Income a-2. Estimate a logarithmic model: Smoke = 6g + 61Fruits_Vegetables + 621n(Income) + . (Negative values should be indicated by a minus sign. Round your answers to 4 decimal places.) Predicted Smoke = Fruits_Vegetables + In(Income) b-1. Compute the value of the 2 for the linear and the logarithmic models. (Round your answers to 4 decimal places.) Linear Logarithmic R2 b-2. Which model is the preferred model?

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