The residual plot for a linear regression model is shown below. Assess the fit of the linear model, and justify your answer.

Question

A scatter plot has a horizontal x-axis that goes from 0 to 10 in increments of 2 and a vertical axis labeled Residual that goes from negative 0.4 to 0.5 in increments of 0.1. Points are plotted on the graph that are loosely clustered around a U-shaped curve that opens upward, where half of the points are plotted above the horizontal axis and half are plotted below the horizontal axis.(1 point)
Responses

The line is not a good fit because the points on the residual plot have a clear pattern.
The line is not a good fit because the points on the residual plot have a clear pattern.

The line is a good fit because the points on the residual plot have a clear pattern.
The line is a good fit because the points on the residual plot have a clear pattern.

The line is a good fit because the points on the residual plot do not have any noticeable pattern.
The line is a good fit because the points on the residual plot do not have any noticeable pattern.

The line is not a good fit because the points on the residual plot do not have any noticeable pattern.
The line is not a good fit because the points on the residual plot do not have any noticeable pattern.

Answer 1

The line is not a good fit because the points on the residual plot have a clear pattern. The U-shaped curve indicates that there is some non-linearity in the relationship between the variables, which the linear model is not capturing. This suggests that a different type of model may be more appropriate to fit the data.