Variable $X$ | Variable $Y$ | |
Mean | 46 | 220 |
Variance | 140 | 1827 |
$\begin{array}{ccc}\multicolumn{1}{c}{}& \hfill & {\hat{\mathit{\beta}}}_{1}=r\xb7\frac{{s}_{y}}{{s}_{x}}=0.61\xb7\sqrt{\frac{1827}{140}}=2.20361,\hfill \\ \multicolumn{1}{c}{}& \hfill & {\hat{\mathit{\beta}}}_{0}=\stackrel{\u203e}{y}-{\hat{\mathit{\beta}}}_{1}\xb7\stackrel{\u203e}{x}=220-2.20361\xb746=118.63386.\hfill \end{array}$ |
$\begin{array}{c}\multicolumn{1}{c}{\hat{y}=118.63386+2.20361\xb744=215.593.}\end{array}$ |