Curve Fitting

clear all
close all
clc

cp_data=load(\'data\');

temperature=cp_data(:,1);
cp=cp_data(:,2);

co_eff=polyfit(temperature,cp,3);
predicted_cp=polyval(co_eff,temperature);

plot(temperature,cp,\'linewidth\',3)
hold on

plot(temperature,predicted_cp,\'linewidth\',3,\'color\',\'r\')

xlabel(\'temperature\')

ylabel(\'specific heat\')

By givingthe degree of polynomial=2, the curve follow the general path of actual curve but do not fit the curve with accuracy.

to get a more accurate curve, we have to increase the degree of polynomial to 3.

and as the image depicts, the results with degree3 polynomial are much better than that with degree2.