Answer the following questions based on Section 4.1.3: Reciprocal transformation for predictors.

Consider the following data:

X 1.2 1.7 1.2 5.0 2.0 1.0 3.3 10.0 5.0 2.0
Y 1.0 0.4 0.6 0.4 0.4 0.9 0.2 0.2 0.1 0.5
Use statistical software to fit a simple linear regression model with response variable, Y, and predictor variable, X (call this model 1). Then fit another simple linear regression model with response variable, Y, and predictor variable, 1/X (call this model 2). Use the fitted models to answer the following questions.

1. 

Model 2 with predictor variable, 1/X, provides a more useful description of the association between Y and X than that of model 1 with predictor variable, X, because:

2. 

Model 2 provides a more useful description of the association between Y and X than that of model 1 because:

3. 

Model 2 provides a more useful description of the association between Y and X than that of model 1 because:

4. 

Since the slope estimate in model 2 is positive, then:

5. 

True or false? Model 2 is a linear regression model even though the reciprocal transformation is non-linear.

Categories:

Tags:

Comments are closed