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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 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.
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.

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 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 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.

Answer 1

To determine the reliability of the linear model based on the residual plot, we need to assess the characteristics of the residuals.

If the residuals are equally and randomly distributed around the line where residual = 0, it indicates that the linear model is a good fit for the data, and we can trust its predictions. Conversely, if there is a clear pattern in the residuals, it suggests that a linear model may not be appropriate, and the predictions could be unreliable.

Given these criteria, the correct response 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.