Answer the following questions based on Section 4.1.1: Natural logarithm transformation for predictors.

Consider the following data:

X 2.3 1.8 2.2 1.2 1.6 2.6 1.4 1.1 1.2 1.6
Y 0.7 1.0 0.7 0.2 0.7 1.2 0.7 0.1 0.4 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, loge(X) (call this model 2). Use the fitted models to answer the following questions.

1. 

Model 2 with predictor variable, loge(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. 

True or false? Model 2 is not a linear regression model because the logarithmic transformation is non-linear.

5. 

True or false? The natural logarithm transformation tends to "spread out" higher values and "pull in" lower values.

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