Question

Which graph used in a residual analysis provides roughly the same information as a scatterplot? What advantages does it have over a scatterplot?

Short answer

A residual plot is defined as a plot of the residuals against the predictor variable values that provide roughly the same information as a scatter plot of the data points.

As a result, a residual plot facilitates the detection of patterns such as curvature and non-constant standard deviation.

Step-by-step solution

Given Information

We have to identify a graph used in a residual analysis that provides roughly the same information as a scatterplot.Also, what advantages does it have over a scatterplot

Explanation

The following are the explanations for two graphs.

- The residuals' normal probability plot should be roughly linear.

- A plot of the residuals against the predictor variable values should be symmetric about the $x$axis and fall roughly in a horizontal band.

A residual plot is defined as a plot of the residuals against the predictor variable values that provide roughly the same information as a scatter plot of the data points.

As a result, a residual plot facilitates the detection of patterns such as curvature and non-constant standard deviation.