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standard_error_of_regression_slope

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standard_error_of_regression_slope [2022/10/13 13:30] hkimscilstandard_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}  { \sum{(x_i - \bar{x})^2} } } \\ & = & \sqrt { \cfrac {1}{{n-2}} \cdot \cfrac {\sum(y_i - \hat{y})^2}  { \sum{(x_i - \bar{x})^2} } } \\
 \end{eqnarray*} \end{eqnarray*}
  
standard_error_of_regression_slope.1665635457.txt.gz · Last modified: 2022/10/13 13:30 by hkimscil

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