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                                                            التعدد الخطي
                                                        
                                                                                                            
                                                            القيم الشاذة
                                                        
                                                                                                            
                                                            مقدر LTS
                                                        
                                                                                                            
                                                            مقدر Liu
                                                        
                                                                                                            
                                                            انحدار الحرف .
                                                        
                                                                                                                                                                                                                                                                                                            
                                                            Multiple Linear Regression
                                                        
                                                                                                            
                                                            Multicollinearity
                                                        
                                                                                                            
                                                            outliers
                                                        
                                                                                                            
                                                            ridge regression
                                                        
                                                                                                            
                                                            LTS-estimator
                                                        
                                                                                                            
                                                            Liu-estimator.
                                                        
                                                                                                                                                                                         
                                                                        
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                                        The multiple linear regression model is an important regression model that has attracted many researchers in different fields including applied mathematics, business, medicine, and social sciences , Linear regression models involving a large number of independent variables are poorly performing due to large variation and lead to inaccurate conclusions , One of the most important problems in the regression analysis is the multicollinearity Problem, which is considered one of the most important problems that has become known to many researchers  , As well as their effects on the multiple linear regression model, In addition to multicollinearity, the problem of outliers in data is one of the difficulties in constructing the reg
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