Friday, May 14, 2010

R-Squared

R2
= (regression sum of squares)/(total sum of squares)
= (regression sum of squares)/(regression sum of squares + error sum of squares)



If R2 > 50%, then
R2
= (regression sum of squares)/(regression sum of squares + error sum of squares) > 50%

∴ (regression sum of squares) > (error sum of squares)

A low R2 in the regression (equation) indicates that the slopes in the equation are very close to zero, indicating that the dependent variable is unaffected by the independent variables. For instance, if all the slopes in the equation equals zero, then the dependent variable equals the intercept(a0, which is constant over time).

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