A measured quantity y is known from theoretical considerations to depend on a variable x according to the relationship: y ¼ a þ bx2 . For the following set of measurements of x and y, use linear least...

A measured quantity y is known from theoretical considerations to depend on a

variable x according to the relationship: y ¼ a þ bx2

. For the following set of measurements of x and y, use linear least squares regression to determine the estimates

of the parameters a and b that fit the data best.

x 012 3 4 5

y 0.9 9.2 33.4 72.5 130.1 200.8