The Linear and Logarithmic Models,y = β₀ + β₁x

question 92

Multiple Choice

The linear and logarithmic models,y = β₀ + β₁x + ε and y = β₀ + β₁ln(x) + ε,were used to fit given data on y and x,and the following table summarizes the regression results.Which of the two models provides a better fit?

• A)The linear model.
• B)The logarithmic model.
• C)The models are not comparable.
• D)The provided information is not sufficient to make the conclusion.

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Definitions:

Two-Tailed

Pertaining to tests of statistical significance that consider both directions of effects, allowing for the assessment of the possibility of both positive and negative differences.

Sample Size

The number of observations or data points collected in a study.

Statistical Procedure

A statistical procedure involves methods and operations applied on data to analyze, interpret, or draw conclusions from it.

Spearman Rank-Order

A nonparametric method for evaluating rank correlation which determines how accurately a monotonic function can depict the relationship between two variables.