Solution Found!
Verify Equation 9.3.3, which states that Var(A) = 2 n _
Chapter , Problem 8(choose chapter or problem)
QUESTION:
Verify Equation 9.3.3, which states that
\(\operatorname{Var}(A)=\frac{\sigma^{2} \sum_{i=1}^{n} x_{i}^{2}}{n \sum_{i=1}^{n}\left(x_{i}-\bar{x}\right)^{2}}\)
Questions & Answers
QUESTION:
Verify Equation 9.3.3, which states that
\(\operatorname{Var}(A)=\frac{\sigma^{2} \sum_{i=1}^{n} x_{i}^{2}}{n \sum_{i=1}^{n}\left(x_{i}-\bar{x}\right)^{2}}\)
ANSWER:Step 1 of 2
The objective is to verify the following equation:
\(V(A)=\frac{\sigma^{2} \sum_{i=1}^{n} x_{i}^{2}}{n \sum_{i=1}^{n}\left(x_{i}-\bar{x}\right)^{2}}\)
The least square regression equation is
\(\begin{array}{l}
A=\bar{y}-B \bar{x} \\
A=\frac{\sum_{i=1}^{n} y_{i}}{n}-B \bar{x}
\end{array}\)