Variable $X$ | Variable $Y$ | |
Mean | 56 | 259 |
Variance | 113 | 1792 |
$\begin{array}{ccc}\multicolumn{1}{c}{}& \hfill & {\hat{\beta}}_{1}=r\xb7\frac{{s}_{y}}{{s}_{x}}=0.52\xb7\sqrt{\frac{1792}{113}}=2.07078,\hfill \\ \multicolumn{1}{c}{}& \hfill & {\hat{\beta}}_{0}=\stackrel{\u203e}{y}-{\hat{\beta}}_{1}\xb7\stackrel{\u203e}{x}=259-2.07078\xb756=143.03654.\hfill \end{array}$ |
$\begin{array}{c}\multicolumn{1}{c}{\hat{y}=143.03654+2.07078\xb762=271.425.}\end{array}$ |