s2 when sigma2 is zero
Problem
In a LRM where \(σ^2=0\) , show that \(s^2=0\) .
Solution
If \(σ^2=0\) then all error terms \(ε_i\) are zero and we get a perfect fit with \(e_i=0\) for all \(i\) . Therefore, \(s^2=0\) .
Problem
In a LRM where \(σ^2=0\) , show that \(s^2=0\) .
Solution
If \(σ^2=0\) then all error terms \(ε_i\) are zero and we get a perfect fit with \(e_i=0\) for all \(i\) . Therefore, \(s^2=0\) .