SCENARIO 15-3
A chemist employed by a pharmaceutical firm has developed a muscle relaxant. She took a sample of
14 people suffering from extreme muscle constriction. She gave each a vial containing a dose (X) of
the drug and recorded the time to relief (Y) measured in seconds for each. She fit a curvilinear model
to this data. The results obtained by Microsoft Excel follow
-Referring to Scenario 15-3, suppose the chemist decides to use a t test to determine
if there is a significant difference between a linear model and a curvilinear model that includes a
linear term. If she used a level of significance of 0.05, she would decide that the linear model is
sufficient.

Question

SCENARIO 15-3
A chemist employed by a pharmaceutical firm has developed a muscle relaxant. She took a sample of
14 people suffering from extreme muscle constriction. She gave each a vial containing a dose (X) of
the drug and recorded the time to relief (Y) measured in seconds for each. She fit a curvilinear model
to this data. The results obtained by Microsoft Excel follow 
-Referring to Scenario 15-3, suppose the chemist decides to use a t test to determine
if there is a significant difference between a linear model and a curvilinear model that includes a
linear term. If she used a level of significance of 0.05, she would decide that the linear model is
sufficient.

Quizplus · Accepted Answer

A t-test is not typically used to compare linear and curvilinear models. Instead, an F-test or comparison of R-squared values is more appropriate for determining if the additional complexity of a curvilinear model is justified.

SCENARIO 15-3 a Chemist Employed by a Pharmaceutical Firm Has Developed a Developed