Question

USING MATLAB.

For given data, estimate the length when time is at 3.5 seconds and at 13 seconds by utilizing the maximum number of data given, and provide the equation for the best fit curve, and plot the curve against the data. (a) Linear regression method (b) Exponential Function (c) Power Function (d) Saturation Function (e) Polynomial regression (f) Lagrange polynomial (8) Newton's divided-difference polynomial Time (sec) Length (in) 10 17 18 25 28 30 30 10 15 36 38

Answer 1

clear all;
clc;
close all;
t=[1:8 10 15];
L=[10,17,18,25,28,30,30,33,36,38];
disp('Data by part a');
C=polyfit(t,L,1);
disp('Length at 3.5 is');
polyval(C,3.5)
disp('Length at 13 is');
polyval(C,13)
xx=1:0.1:15;
figure;
plot(xx,polyval(C,xx),t,L,'o');
title('Part a');
disp('Data by part b');
C=polyfit(t,log(L),1);
a=exp(C(2));
b=C(1);
f=@(x) a*exp(b*x);
disp('Length at 3.5 is');
f(3.5)
disp('Length at 13 is');
f(13)
xx=1:0.1:15;
figure;
plot(xx,f(xx),t,L,'o');
title('Part b');