Question

The same set of data has been fit using two different functions. The following images show the residual plots of each function. A residual plot where the points are scattered around the x-axis with no pattern.© 2018 StrongMind. Created using GeoGebra. A residual plot where the points are scattered in a u-shape.© 2018 StrongMind. Created using GeoGebra. Which function is a better fit for the data, and why?Select the option that correctly answers both questions.

Answer 1

Function B, because the points have more variation around the x-axis.

Explanation:

Remember that if the points in a residual plot are randomly dispersed around the horizontal axis, a regression model is appropriate for the data. Therefore, the function that is the best fit for the data is function B, because the points have more variation around the x-axis.