[Solution Library] Consider the model y=β_0+β_1x+u. With 10 data points we have:
Question: Consider the model \(y={{\beta }_{0}}+{{\beta }_{1}}x+u\). With 10 data points we have:
\[X'X=\left( \begin{matrix} 10 & 500 \\ 500 & 28400 \\ \end{matrix} \right)\] , \[X'y=\left( \begin{matrix} 1100 \\ 61800 \\ \end{matrix} \right)\]SSTotal = 134660, SSResidual = 60
- Find \({{\hat{\beta }}_{0}}\) and \({{\hat{\beta }}_{1}}\).
- Find a 95% confidence interval for the mean response of y at x = 50.
Deliverable: Word Document 
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