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1. Corrected value in a quadratic table ●●○○○ 20 ptsA student plots $y=ax^2+bx+c$ ($a\neq 0$) using seven equally spaced $x$-values $x_1<x_2<\cdots<x_7$, where $x_{k+1}-x_k$ is constant. The recorded $y$-values are $51, 107, 185, 285, 407, 549, 717$ for $x_1,\ldots,x_7$ respectively. Exactly one of these $y$-values was calculated incorrectly. Find the correct value of that $y$-value.