Use the image to answer the question. 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 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 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 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 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.

Question

GPT-4o mini · Answer

To determine the reliability of the linear model based on the residual plot, you can analyze the pattern of the residuals.

If the residual plot shows a clear pattern (such as a curve), this suggests that the linear model is not capturing some aspect of the data, indicating that the linear model may not be reliable for making predictions.

Conversely, if the residual plot shows residuals that are equally and randomly distributed around the line where residual = 0, this suggests that the linear model fits the data well and is therefore reliable for making predictions.

Based on this information, if the residual plot clearly has a pattern, the appropriate response would be: "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."