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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

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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

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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