\(x\vphantom{4}\) \(4\) \(7\) \(10\) \(13\)
\(\smash{y}\vphantom{4}\) \(96\) \(133\) \(160\) \(117\)

In the above table the values of \(y\) were calculated from a formula \(y = Ax^2 + Bx\), where \(A\) and \(B\) are constants. One of the values of \(y\), however, has been deliberately misprinted.

Plot the values of \(y/x\) against those of \(x\), and

  1. find which value of \(y\) has been misprinted and give the correct value,
  2. estimate the numerical values of \(A\) and \(B\).