Use the image to answer the question.

Ten points are plotted on a scatterplot. The x-axis is labeled Minutes Played, and the y-axis is labeled Residual Value.

Determine the reliability of the linear model given the residual plot.

(1 point)
Responses

The given residual plot clearly has a pattern. Therefore, a linear model is reliable and will provide accurate predictions for the original data.
The given residual plot clearly has a pattern. Therefore, a linear model is reliable and will provide accurate predictions for the original data.

The residual plot is equally and randomly distributed around the line where residual=0. Therefore, the linear regression model is not a good choice for this data and will not provide accurate results when making predictions.
The residual plot is equally and randomly distributed around the line where residual=0. Therefore, the linear regression model is not a good choice for this data and will not provide accurate results when making predictions.

The given residual plot clearly has a pattern. Therefore, a linear model is not reliable and will not provide accurate predictions for the original data.
The given residual plot clearly has a pattern. Therefore, a linear model is not reliable and will not provide accurate predictions for the original data.

The residual plot is equally and randomly distributed around the line where residual=0. Therefore, the linear regression model is a good choice for this data and will provide accurate results when making predictions.

1 answer

The correct response based on the description you provided about the residual plot is:

The given residual plot clearly has a pattern. Therefore, a linear model is not reliable and will not provide accurate predictions for the original data.

In general, if a residual plot shows a clear pattern, it indicates that the linear model is not a good fit for the data and suggests that the assumptions of linear regression may be violated, making the predictions unreliable.