Question

Use a residual plot to determine if the model y=2.642+0.788x

is a good fit for the data in the table below. Justify your answer.

(1 point)
Responses

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 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 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.

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

The line is a good fit because the points on the residual plot do not have any noticeable pattern. This indicates that the model accurately captures the relationship between the predictor variable (x) and the response variable (y), and that the errors are randomly distributed around the line. The lack of a clear pattern in the residual plot suggests that there is no systematic bias in the model, supporting the conclusion that it is a good fit for the data.