The quadratic and logarithmic models,y = β₀ + β₁x + β₂x² + ε and y = β₀ + β₁ ln(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

To determine which model provides a better fit, we need to look at the coefficient of determination (R-squared) values for each model. The R-squared value for the quadratic model is 0.853, and the R-squared value for the logarithmic model is 0.893. A higher R-squared value indicates a better fit, so we can conclude that the logarithmic model provides a better fit to the data. Therefore, the answer is B.

The Quadratic and Logarithmic Models,y = β0 + β1x

The Quadratic and Logarithmic Models,y = β₀ + β₁x