Consider the following inverse of the model matrix: (a)
Chapter 12, Problem 107SE(choose chapter or problem)
Consider the following inverse of the model matrix:
\(\left(\mathbf{X}^{\prime} \mathbf{X}\right)^{-1}=\left[\begin{array}{rcc} 0.893758 & -0.028245 & -0.0175641 \\ -0.028245 & 0.0013329 & 0.0001547 \\ -0.017564 & 0.0001547 & 0.0009108
\end{array}\right]\)
(a) How many variables are in the regression model?
(b) If the estimate of \(\sigma^{2}\) is 50 , what is the estimate of the variance of each regression coefficient?
(c) What is the standard error of the intercept?
Equation Transcription:
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Text Transcription:
(X^X)^-1=[ 0.893758 & -0.028245 & -0.0175641 \\ -0.028245 & 0.0013329 & 0.0001547 \\ -0.017564 & 0.0001547 & 0.0009108
\sigma^{2}
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