If the relation 1 X 1i 2 X 2i 3 X 3i 0 holds true for all values of 1 , 2 , and 3, estimate r 12 3 , r 13 2 , and r 23 1 Also find R 2 1 23 , R 2 2 13 , and R 2 3 12 What is the degree of multicollinearity in this situation Note R 2 1 23 is the coefficient of determination in the regression of Y on...

If the relation 1 X 1i + 2 X 2i + 3 X 3i

Question:

If the relation λ₁X_1i + λ₂X_2i + λ₃X_3i = 0 holds true for all values of λ₁, λ₂, and λ3, estimate r_12.3, r_13.2, and r_23.1. Also find R²_1.23, R²_2.13, and R²_3.12. What is the degree of multicollinearity in this situation? Note: R²_1.23 is the coefficient of determination in the regression of Y on X₂ and X₃. Other R2 values are to be interpreted similarly.