standard_error_of_regression_slope
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standard_error_of_regression_slope [2022/10/28 08:44] – hkimscil | standard_error_of_regression_slope [2022/10/28 08:44] (current) – hkimscil | ||
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\large {s(b_1)} & = & | \large {s(b_1)} & = & | ||
\sqrt { \cfrac { \sum(y_i - \hat{y})^2 / n-2 } { \sum{(x_i - \overline{x})^2} } } \\ | \sqrt { \cfrac { \sum(y_i - \hat{y})^2 / n-2 } { \sum{(x_i - \overline{x})^2} } } \\ | ||
+ | & = & \sqrt { \cfrac {{ \cfrac{\text{SS}_{res}} {n-2} }} {\text{SS}_{X}} | ||
& = & \sqrt { \cfrac {1}{{n-2}} \cdot \cfrac {\sum(y_i - \hat{y})^2} | & = & \sqrt { \cfrac {1}{{n-2}} \cdot \cfrac {\sum(y_i - \hat{y})^2} | ||
- | & = & \sqrt { \cfrac {{ \cfrac{\text{SS}_{res}} {n-2} }} {\text{SS}_{X}} | ||
\end{eqnarray*} | \end{eqnarray*} | ||
standard_error_of_regression_slope.1666914241.txt.gz · Last modified: 2022/10/28 08:44 by hkimscil