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.Function B, because the points have more variation around the x-axis.Function A, because the points have more variation around the x-axis.Function A, because the points are clustered closer to the x-axis.Function B, because the points are clustered closer to the x-axis.

Answer 1

`C`

Step-by-step explanation:

Here, we want to know which is the better residual plot

The residual plot is simply a plot that shows the errors. Now, for residuals that are clustered around the origin, it simply means that the true values are not very different from the original values

Hence, what we are saying is that the function with the residuals close to the x-axis would be a better fit compared to that in which the residuals are farther away from the x-axis

The correct answer choice here is thus:

Function A, because the points are clustered closer to the x-axis