Research of a New Method for Solving Linear Regression
Yang Yu · 2018
In this paper, we propose two new models for the absolute error of a linear regression.One of which is for the average value of all data points connected the slope, and then find their average value can be obtained slope, finally use the mean point can get a linear regression equation.The other is to use the regression line after the mean value, and each point deviates from the slope of the regression line to get the average value, that is, the slope of the regression line.The least squares method is sensitive to outliers, so in the case of outliers, the new method outperforms the least square method under certain circumstances, and in some cases, the absolute error and the prediction error are better than the least square method.