Question

3 plots of the residuals for four different models of the same data set are displayed. which of the following represents the plot of the residuals from a model that fits its data best? a b c d

Explanation:

Step1: Recall the property of good residual plot

A good residual plot has residuals randomly scattered around the \(x -\)axis with no pattern.

Step2: Analyze Option A

The residuals in Option A show a pattern (a curve - like trend), so the model does not fit well.

Step3: Analyze Option B

The residuals in Option B are randomly scattered around the \(x -\)axis. There is no clear pattern (such as a curve, increasing or decreasing trend).

Step4: Analyze Option C

The residuals in Option C show a pattern (a non - random distribution), so the model does not fit well.

Step5: Analyze Option D

The residuals in Option D show a pattern (a non - random distribution), so the model does not fit well.

Answer:

B