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According to the World Health Organization, obesity has reached epidemic proportions globally. While obesity has generally been linked with chronic disease and disability, researchers argue
According to the World Health Organization, obesity has reached epidemic proportions globally. While obesity has generally been linked with chronic disease and disability, researchers argue that it may also affect wages. Body Mass Index (BMI) is a widely used weight measure that also adjusts for height. A person is considered normal weight if BMI is between 18.5 to 25, overweight If BMI Is between 25 to 30, and obese if BMI is over 30. The accompanying table shows a portion of data on the salary (In $1,000s) of 30 college-educated men with their respective BMIs. Salary 34 26 Click here for the Excel Data File a-1. Estimate a linear model with Salary as the response variable and BMI as the explanatory variable. (Negative values should be Indicated by a minus sign. Round your answers to 4 decimal places.) Answer is complete and correct. Predicted Salary 66.1852+ -0.9931 BMI a-2. What Is the estimated Salary of a college-educated man with a BMI of 25? (Enter your answer in thousands. Round the regression estimates to at least 4 decimal places and answer to 2 decimal places.) Answer is complete and correct. Predicted Salary 41.38 a-3. What is the estimated Salary of a college-educated man with a BMI of 30? (Enter your answer in thousands. Round the regression estimates to at least 4 decimal places and answer to 2 decimal places.) Answer is complete and correct. Predicted Salary 36.39 b-1. Estimate an exponential model using log of Salary as the response variable and BMI as the explanatory variable. (Negative values should be indicated by a minus sign. Round your answers to 4 decimal places.) Answer is complete and correct. Predicted In(Salary) 4.3277 + -0.0245 EMI\fa-3. What is the estimated Salary of a college-educated man with a BMI of 30? (Enter your answer in thousands. Round the regression estimates to at least 4 decimal places and answer to 2 decimal places.) Answer is complete and correct. Predicted Salary 36.39 b-1. Estimate an exponential model using log of Salary as the response variable and BMI as the explanatory variable. (Negative values should be indicated by a minus sign. Round your answers to 4 decimal places.) Answer is complete and correct. Predicted In(Salary) = 4.3277 + -0.0245 BMI b-2. What Is the estimated Salary of a college-educated man with a BMI of 25? (Enter your answer in thousands. Round the regression estimates to at least 4 decimal places and answer to 2 decimal places.) * Answer is complete but not entirely correct. Predicted Salary 3.71 X b-3. What Is the estimated Salary of a college-educated man with a BMI of 30? (Enter your answer in thousands. Round the regression estimates to at least 4 decimal places and answer to 2 decimal places.) * Answer is complete but not entirely correct. Predicted Salary 3.58 X c. Which of the above two models is more appropriate for this application? Linear model because of higher . (0. 6: > 0. 59) @3 O Linear model because of higher standard error of the estimate s. (4 1702 ) 0. 111:) O Exponential model because of higher standard error of the estimate s. (0. 1111 0. 63)
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