. Consider a fictitious dataset of (n=100) observations with (s_{y}=80). We run a regression with three explanatory...

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. Consider a fictitious dataset of \(n=100\) observations with \(s_{y}=80\). We run a regression with three explanatory variables to get \(s=50\). We also get

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a. Determine the standard error of \(b_{3}, s e\left(b_{3}\right)\).

b. Determine the estimated covariance between \(b_{2}\) and \(b_{3}\).

c. Determine the estimated correlation between \(b_{2}\) and \(b_{3}\).

d. Determine the estimated variance of \(4 b_{2}+3 b_{3}\).

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