Use the image to answer the question.

Question

A coordinate plane for cost versus distance.

Based on the scatterplot, connect the shape of the scatterplot to the accurate description of the shape of a residual plot. Which residual plot description is the most accurate?

(1 point)
Responses

There are five dots above the residual=0 line.
There are five dots above the residual=0 line.

There are three dots below the residual=0 line and three dots above.
There are three dots below the residual=0 line and three dots above.

There are two dots that will fall on or close to the residual=0 line.
There are two dots that will fall on or close to the residual=0 line.

All of the dots would fall on the residual=0 line.

Answer 1

To determine the most accurate residual plot description based on the scatterplot characteristics, follow these general observations typically associated with residual plots:

1. If the scatterplot depicts a clear trend (like a straight line), the residuals would typically scatter randomly around the residual=0 line, with some points above and some below.

2. If there are more points above or below the residual=0 line, it indicates a systematic error in the model being used, suggesting a non-linear relationship.

3. If all points fall directly on the residual=0 line, it suggests that the model perfectly predicts all observed values, which is usually not common in real data.

Considering these points, the most accurate description for a residual plot corresponding to a typical scatterplot would likely be:

"There are three dots below the residual=0 line and three dots above."

This option suggests that there are both positive and negative residuals, indicating variability in the predictions.