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

Question

(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 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 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.

Answer 1

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.

In general, if the residual plot displays a pattern (such as a curve or grouping), it indicates that the linear model may not adequately capture the relationships in the data, suggesting that a different model might be more appropriate. On the other hand, a residual plot that is randomly distributed around zero indicates that a linear regression model is likely suitable for the data.