R-squared from the sums of squares

EasyStatistics~2m

An OLS regression reports an error (residual) sum of squares $\text{SSE} = 120$ and a regression (explained) sum of squares $\text{SSR} = 80$ . What is the $R^2$ of this regression?

Show hints (2)+

$\text{SST}=\text{SSR}+\text{SSE}$ . What fraction of it does the model explain?
$R^2=\text{SSR}/\text{SST}=80/200$ .

Answer

Reveal answer →

0.4 (± 0.001)

Want the full step-by-step worked solution? It's part of Premium - along with a worked solution for every question in the bank.

Practise free Unlock solutions

Asked at: Citadel, Two Sigma

R-squared from the sums of squares

Answer

Related questions