Given r^2 and SST, Find SSE(need help today)

Question

given r2=0.0798 and sst=769.54, compute sse

Answer 1

R^2 = 1 - SSE/SST

SSE/SST = 1-R^2

SSE = (1-R^2)SST = (1-0.0798)(769.54) = (0.9202)(769.54) = 708.13

Sum of Squared Errors = 708.13

If you ran a regression line through the data, the vertical distances from the line to the data, squared, would equal SSE = 708.13, about 92% of the SST

R=close to 1, which is a perfect fit with SSE=0

R=square root of R^2 = sqr(.9202) = .96

anything over .5 indicates a reliable fit. anything near 1 is nearly a perfect fit of the data to the line