Curve Fitting Consider the data set x y 1 2 35 46 65 91 Fit

Curve Fitting Consider the data set {(x ,y )}= {(1, 2), (3,5), (4,6), (6,5), (9,1)} Fit a quadratic y= a+ bx +cx^2 to this data using: (i) Minimizing the squared errors. (ii) Minimizing the absolute errors. (iii) Plot the data and the two curve fits over 1 to 9 on the x axis.

Please do all parts with work thank you

Solution

For these data sets.

we can get best fit curve

as y = -0.164+2.52x-0.267x^2

and for this curve our R² = 0.9859