Summary points

In lecture 6, we covered

• $R^2 = 1-\frac{RSS}{TSS}$

• $R^{2} \mbox{(adj)} ={1-(1-R^{2}){n-1 \over n-k-1}}$

• ANOVA For The Simple Linear Regression

  Component	Degrees of freedom (df)	Sum of squares (SS)	Mean squares (MS)	F value
  Model	1	$(S_{xy})^2/S_{xx}$	$\frac{(S_{xy})^2/S_{xx}}{1}$	$\frac{\frac{(S_{xy})^2/S_{xx}}{1}}{\frac{S_{yy}-(S_{xy})^2/S_{xx}}{n-2}}$
  Residual	$n-2$	$S_{yy}-(S_{xy})^2/S_{xx}$	$\frac{S_{yy}-(S_{xy})^2/S_{xx}}{n-2}$
  Total	$n-1$	$\sum_i(y_i-\bar{y})^2 = S_{yy}$