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

question 29

Multiple Choice

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. Which of the following is the estimated regression model for the new drug?

• A) = 47.04 + 0.34Age
• B) = 6.18 + 1.04Age
• C) = 47.04 + 0.34Age + 0.70Age × Drug
• D) = 47.04 + 0.34Age - 40.86Drug + 0.70Age × Drug

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Definitions:

Antecedent

The earlier element in a logical statement, usually preceding the consequence in a conditional sentence.

Consequent

The outcome or result in a conditional statement, typically following the word "then" in an "if...then" construct.

Proposition

A comment that denotes a judgment or viewpoint.

Consequent

In logic, this refers to the outcome in a conditional statement, which follows from its condition (if-then statement).