The quadratic and logarithmic models,y = β₀ + β₁x + β₂x² + 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 quadratic model. B)The logarithmic model. C)The models are not comparable. D)The provided information is not sufficient to make the conclusion.

Question

Quizplus · Accepted Answer

In order to determine which model provides a better fit, we need to compare their R-squared values. The R-squared value for the quadratic model is 0.879, whereas the R-squared value for the logarithmic model is 0.938. This suggests that the logarithmic model is a better fit for the given data. Therefore, the answer is B.

The Quadratic and Logarithmic Models,y = β0 + β1x

The Quadratic and Logarithmic Models,y = β₀ + β₁x