The Linear and Logarithmic Models, Y = β₀ + β₁x

question 18

Multiple Choice

The linear and logarithmic models, y = β₀ + β₁x + ε and y = β₀ + β₁ ln(x) + ε, were 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:

Inherited

Passed down from ancestors or parents to offspring, referring to genetic traits or inherited diseases.

Non-Coding DNA

DNA sequences that do not code for proteins but have regulatory and other functions, making up a large portion of the genome in many organisms.

Non-Coding Portions

Segments of DNA or RNA that do not code for proteins but have roles in gene expression and regulation.