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$$
\begin{array}{lllll}
&\text{Source}      &\text{SS}              &\text{df}  &\text{MS}     &\text{F}  \\
\hline
&x_1  &\sum(\hat y_i-\bar y)^2  &1          &\frac{\text{SS}_{x_1}}{\text{df}_{x_1}}  &\frac{\text{MS}_{x_1}}{\text{MS}_{\rm res}}  \\
&\text{Residual}    &\sum(y_i-\hat y_i)^2     &N-(1+1)    &\frac{\text{SS}_{\rm res}}{\text{df}_{\rm res}}  \\
&\text{Total}       &\sum(y_i-\bar y)^2     &N-1
\end{array}
$$

$$
\begin{array}{lllll}
&\text{Source}      &\text{SS}              &\text{df}  &\text{MS}     &\text{F}  \\
\hline
&x_1  &\sum(\hat y_{x_{1i}\bar x_2}-\bar y)^2  &1          &\frac{\text{SS}_{x_1}}{\text{df}_{x_1}}  &\frac{\text{MS}_{x_1}}{\text{MS}_{\rm res}}  \\
&x_2  &\sum(\hat y_{\bar x_1x_{2i}}-\bar y)^2  &1          &\frac{\text{SS}_{x_2}}{\text{df}_{x_2}}  &\frac{\text{MS}_{x_2}}{\text{MS}_{\rm res}}  \\
&\text{Residual}    &\sum(y_i-\hat y_i)^2     &N-(2+1)    &\frac{\text{SS}_{\rm res}}{\text{df}_{\rm res}}  \\
&\text{Total}       &\sum(y_i-\bar y)^2     &N-1
\end{array}
$$

sandbox.txt · Last modified: 2019/10/14 12:30 by hkimscil