plots of the residuals for four different models of the same data set are displayed which of the following represents the plot of the residuals from a model that fits its data best

the correct option is B
The residuals have to be distributed about equally among positive and negative values
That shows that the line of best fit goes through the middle of the data and is not to one side. This is the only residual plot that shows this.
I found an answer from reference.wolfram.com
Chapter 4 Fitting Data to Linear Models by Least-Squares Techniques
It means that the model being fit is linear in the parameters to which we are fitting ... The best-known and most widely used method is least-squares regression, which ... it to give a totally misleading summary of the relationship between y and x . ... Then for each data point the residual is defined as the difference between the ...
For more information, see Chapter 4 Fitting Data to Linear Models by Least-Squares Techniques
I found an answer from www.britannica.com
Statistics - Residual analysis | Britannica
If the error term in the regression model satisfies the four assumptions noted ... These residuals, computed from the available data, are treated as estimates. ... it often suggests ways in which the model can be modified to obtain better results. ... how much or how many; qualitative variables represent types or categories.
For more information, see Statistics - Residual analysis | Britannica
I found an answer from stanford.edu
Visualizing regression models — seaborn 0.11.1 documentation
Many datasets contain multiple quantitative variables, and the goal of an analysis is ... draw a scatterplot of two variables, x and y , and then fit the regression model y ~ x ... dataset is the same, but the plot clearly shows that this is not a good model: ... It fits and removes a simple linear regression and then plots the residual ...
For more information, see Visualizing regression models — seaborn 0.11.1 documentation