Use a residual plot to determine if the model y=5.982−0.482x
is a good fit for the data in the table below. Justify your answer.
(1 point)
Responses
The line is a good fit because the points on the residual plot have a clear pattern.
The line is a good fit because the points on the residual plot have a clear pattern.
The line is not a good fit because the points on the residual plot have a clear pattern.
The line is not a good fit because the points on the residual plot have a clear pattern.
The line is not a good fit because the points on the residual plot do not have any noticeable pattern.
The line is not a good fit because the points on the residual plot do not have any noticeable pattern.
The line is a good fit because the points on the residual plot do not have any noticeable pattern.
To determine if the model y=5.982−0.482x is a good fit for the data, we can create a residual plot by plotting the residuals (the differences between the observed y values and the predicted y values) against the x values.
If the residuals are randomly scattered around the horizontal axis (x-axis) and do not show any noticeable pattern, it suggests that the model is a good fit for the data. On the other hand, if there is a clear pattern or trend in the residuals, it indicates that the model may not be capturing all the information in the data.
After creating the residual plot for the given model and data, if the points on the plot do not have any noticeable pattern and appear randomly scattered, then we can conclude that the model y=5.982−0.482x is a good fit for the data.