A Perfect Pattern With Nothing to Show

Five observations lie exactly on the curve $y = x^2$, with no measurement noise whatsoever — $y$ is a perfect deterministic function of $x$:

$(-2,\,4),\quad (-1,\,1),\quad (0,\,0),\quad (1,\,1),\quad (2,\,4)$

Pearson's $r$ and the ordinary least-squares line $\hat{y} = b_0 + b_1 x$ are both computed from these five points.

Which statement about the results is correct?