Problem:

The following experimental data values of x and y are believed to be related by the law y = mx^2 + c, where m and c are constants. By plotting a suitable graph, verify that this law does indeed relate the values and find approximate values of m and c.

x 2.3 4.1 6.0 8.4 9.9 11.3

y 13.9 31.2 60.2 111.8 153.0 197.5