In: Math
The following estimated regression equation was developed relating yearly income (y in $1000s) of 30 individuals with their age (x1) and their gender (x2) (0 if male and 1 if female). Ŷ = 30 + .7x1 + 3x2 Also provided are SST = 1200 and SSE = 384. The test statistic for testing the significance of the model is
$$ \begin{aligned} &\text { SSR }=\text { SST - SSE } \\ &=1200-384 \\ &=816 \\ &R^{2}=\frac{S S R}{S S T}=\frac{816}{1200}=0.68 \end{aligned} $$