Homework SourseA regression of the LDL cholesterol level on the Body Mass I
A regression of the LDL cholesterol level on the Body Mass Index (BMI) is shown below:LDL Cholesterol Level = 133.19 + 0.4151*BMI. Which of the following is FALSE?
If one person has BMI of 20, then it is estimated that the LDL Cholesterol Level is about 141.
One person’s LDL Cholesterol Level is 143 and BMI is 25. Its residual is about 5.
It is estimated that for the person with zero BMI, the LDL Cholesterol Level is about 133.
If the LDL Cholesterol Level of one person is 145, then this equation indicates that this person’s BMI is about 30.
It is estimated that for every additional unit of BMI, the Level of LDL Cholesterol increases by about 0.4.
| A. | If one person has BMI of 20, then it is estimated that the LDL Cholesterol Level is about 141. | |
| B. | One person’s LDL Cholesterol Level is 143 and BMI is 25. Its residual is about 5. | |
| C. | It is estimated that for the person with zero BMI, the LDL Cholesterol Level is about 133. | |
| D. | If the LDL Cholesterol Level of one person is 145, then this equation indicates that this person’s BMI is about 30. | |
| E. | It is estimated that for every additional unit of BMI, the Level of LDL Cholesterol increases by about 0.4. |
Solution
OPTION B is false.
Why?
If BMI = 25, using
CL = 133.19 + 0.4151*BMI,
CL^ = 143.5675
Thus, its residual is
CL(actual) - CL^ = -0.5675. [not 5]
Thus, ANSWER IS OPTION B.
