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	\(n-1\)	\(\sum_i(y_i-\bar{y})^2 = S_{yy}\)