how can ı solve without curve fitting?

Consider the given xy-data. x=0:5; y=[15, 10, 9, 6, 2, 0];. Write the necessary commands to obtain the equation of a 4th order polynomial (y = a0 + a1 x + a2 x 2 + a 3 x 3 + a 4 x 4 ) that can be fitted to these data. Note that the polynomial should pass trough the data points.... I solve this question with matlab curve fitiing function but ıs there any other way to solve?

Answer 1

[KSSV]

Read about polyfit.

x=0:5; 
y=[15, 10, 9, 6, 2, 0];

p = polyfit(x,y,4) ;

xi = 0:0.1:5 ;

plot(x,y,'or',xi,polyval(p,xi))

[matlab coder]

isnt polyfit a curve fitting funnction? ı want to solve it without using curve fitting?

[KSSV]

Yes, it is a curve fitting....you can have a look on the function spline.

plot(x,y,'ok',xi,spline(x,y,xi),'r')

[matlab coder]

but ı said ı dont want it to be solved with curve fitting :) ? ıs there any other way ?