## Analysis For Joint Influence Of Least Souares Estimate In Linear Regession

**Yu Yi Liang**

This article studies the joint influence of cases (x_i′,y_i) and(x_j′,y_i) for the LSE β of β in Linear Regression Model.The h_(ii) plays an important role in deterning the interaction effect of cases(x_i~′, y_i)and(x_j~′, y_j) in the joint influence of I as measured by Welsch statistic Q_1~2.Moreover then Q_I~2=Q_i~2+Q_i~2, when h_(ij)=0, regardless of the values of γ_i and γ~i and when h~j~i=0, the signs and magnitudes of h_(ij), γ_i and γ_j determine how much Q_I~2 is greater than or less than Q_i~2+Q~2.

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