Can a person\'s body mass index (or BMI) be used to predict his or her total cho

Question

Can a person's body mass index (or BMI) be used to predict his or her total cholesterol level? Researchers sought to look at this relationship by gathering data from a random sample of 150 adults. All of the adults in the sample had BMIs between 20 and 34. The researchers found the correlation between BMI and total cholesterol level to be r = 0.78. The form of the relationship is linear, and the regression equation is: Predicted total cholesterol = 28.07 + 6.49 (BMI) Based on the information given, what percentage of the variation in predicted total cholesterol level can be explained by the regression equation? What percentage of the variation in predicted total cholesterol level can NOT be explained by the regression equation? The correlation coefficient tells us what two things about the relationship between BMI and total cholesterol level? The following statement contains an error. What is the error and how can the statement be corrected? As predicted total cholesterol increases by one unit, we predict that BMI will increase by 6.49. Gary has a BMI of 27, but Jill refuses to use the regression equation to predict Gary's total cholesterol level because she said that doing so would be an example of extrapolation. Is Jill correct? Please explain.

Explanation / Answer

1) % of variation in predicted level can be explained =coefficient of determination =r2 =60.84%

% of variation can not be explained =1-r2 =39.16%

2)strength of relationship and direction if postiive or negative

3)the right statement is that as BMI will increase by 1 unit; we predict that total cholestrol will increase by 6.49.

4)No, as BMI oif 27 lies in interpolated values of 20 and 34.

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