\(x\vphantom{4}\) | \(4\) | \(7\) | \(10\) | \(13\) |
---|---|---|---|---|

\(\smash{y}\vphantom{4}\) | \(96\) | \(133\) | \(160\) | \(117\) |

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

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