Use the following to answer the question(s) below.
A newly developed drug is tested to determine absorption levels in a patient's bloodstream. A patient is injected with the drug and the concentration (units/cc) in the patient's blood is measured every hour for seven hours. Below is the output from fitting a linear regression model.
-Which of the following is true?
A) The linear model is appropriate for estimation of the concentration level after 10 hours given that it explains 90% of the variability in blood concentration levels of the drug.
B) This model will underestimate the concentration level after 10 hours has elapsed because the linear model is not appropriate.
C) This model will overestimate the concentration level after 10 hours has elapsed because the linear model is not appropriate.
D) The linear model is appropriate for estimation of the concentration level after 10 hours given that it explains 9.49% of the variability in blood concentration levels of the drug.
E) The linear model is appropriate given that it explains 90% of the variability in blood concentration levels of the drug, and it will overestimate the concentration level after 10 hours.

Question

Use the following to answer the question(s) below.
A newly developed drug is tested to determine absorption levels in a patient's bloodstream. A patient is injected with the drug and the concentration (units/cc) in the patient's blood is measured every hour for seven hours. Below is the output from fitting a linear regression model.  
-Which of the following is true?
A) The linear model is appropriate for estimation of the concentration level after 10 hours given that it explains 90% of the variability in blood concentration levels of the drug. 
B) This model will underestimate the concentration level after 10 hours has elapsed because the linear model is not appropriate. 
C) This model will overestimate the concentration level after 10 hours has elapsed because the linear model is not appropriate. 
D) The linear model is appropriate for estimation of the concentration level after 10 hours given that it explains 9.49% of the variability in blood concentration levels of the drug. 
E) The linear model is appropriate given that it explains 90% of the variability in blood concentration levels of the drug, and it will overestimate the concentration level after 10 hours.

Quizplus · Accepted Answer

The linear model has a poor fit for the data as it only explains 9.49% of the variability in blood concentration levels of the drug. Therefore, the model should not be used to estimate the concentration level after 10 hours. Also, linear regression assumes a linear relationship between the predictor (time) and response (concentration) variables, whereas the concentration of a drug in the bloodstream is likely to follow a nonlinear pattern over time. Thus, the linear model is not appropriate for this dataset.

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