An over-the-counter drug manufacturer wants to examine the effectiveness of a new drug in curing an illness most commonly found in older patients. Thirteen patients are given the new drug and 13 patients are given the old drug. To avoid bias in the experiment, they are not told which drug is given to them. To check how the effectiveness depends on the age of patients, the following data have been collected. The variables are Effectiveness = the response variable measured on a scale from 0 to 100,
Age = the age of a patient (in years) ,
Drug = a dummy variable that is 1 for the new drug and 0 for the old drug.
The regression model, Effectiveness = β₀ + β₁Age + β₂Drug + β₃Age × Drug, is estimated and the following results are obtained. For which age is the predicted effectiveness of the old and new drug about the same?

Question

An over-the-counter drug manufacturer wants to examine the effectiveness of a new drug in curing an illness most commonly found in older patients. Thirteen patients are given the new drug and 13 patients are given the old drug. To avoid bias in the experiment, they are not told which drug is given to them. To check how the effectiveness depends on the age of patients, the following data have been collected.

The variables are Effectiveness = the response variable measured on a scale from 0 to 100,
Age = the age of a patient (in years) ,
Drug = a dummy variable that is 1 for the new drug and 0 for the old drug.
The regression model, Effectiveness = β₀ + β₁Age + β₂Drug + β₃Age × Drug, is estimated and the following results are obtained.

For which age is the predicted effectiveness of the old and new drug about the same?

Quizplus · Accepted Answer

The Answer of An over-the-counter drug manufacturer wants to examine the effectiveness of a new drug in curing an illness most commonly found in older patients. Thirteen patients are given the new drug and 13 patients are given the old drug. To avoid bias in the experiment, they are not told which drug is given to them. To check how the effectiveness depends on the age of patients, the following data have been collected. The variables are Effectiveness = the response variable measured on a scale from 0 to 100, Age = the age of a patient (in years), Drug = a dummy variable that is 1 for the new drug and 0 for the old drug. The regression model, Effectiveness = β₀ + β₁Age + β₂Drug + β₃Age × Drug, is estimated and the following results are obtained. For which age is the predicted effectiveness of the old and new drug about the same? A) 43 years B) 50 years C) 58 years D) The predicted effectiveness of the new drug is higher for any age.

An Over-The-Counter Drug Manufacturer Wants to Examine the Effectiveness of a New