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 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.
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 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.
Answers
GPT-4o mini
The best 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.**
A reliable linear model should have residuals that are randomly distributed around the line where the residual is 0. If there is a clear pattern in the residual plot, it suggests that the linear model is not capturing the relationship in the data effectively.
**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.**
A reliable linear model should have residuals that are randomly distributed around the line where the residual is 0. If there is a clear pattern in the residual plot, it suggests that the linear model is not capturing the relationship in the data effectively.