standard_error_of_regression_coefficient
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| standard_error_of_regression_coefficient [2026/05/30 07:12] – hkimscil | standard_error_of_regression_coefficient [2026/05/30 07:20] (current) – hkimscil | ||
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| & = & \dfrac {s_{e}} {\sqrt{ss(x)} } \\ | & = & \dfrac {s_{e}} {\sqrt{ss(x)} } \\ | ||
| & = & \dfrac {s_{e}} {\Sigma{(x_{i}-\overline{x})^2}} \\ | & = & \dfrac {s_{e}} {\Sigma{(x_{i}-\overline{x})^2}} \\ | ||
| - | & = & \dfrac {\dfrac{\sqrt {\text{ss(res)} }{n-2}} } {\sqrt{\Sigma{(x_{i}-\overline{x})^2}} } \\ | + | & = & \dfrac { \sqrt {\dfrac{ \Sigma{(y-\hat{y})^2} } {n-2} } } {\sqrt{\Sigma{(x_{i}-\overline{x})^2}} } \\ |
| - | & = & \dfrac {\dfrac{\Sigma{(y-\hat{y} )^2} }{n-2}} | + | & = & \sqrt {\dfrac { \dfrac { \Sigma {(y-\hat {y})^2 } } {n-2} } { \Sigma{(x_{i}-\overline{x})^2} } } \\ |
| \end{eqnarray*} | \end{eqnarray*} | ||
standard_error_of_regression_coefficient.txt · Last modified: by hkimscil