Question

could you solve this by using matlab?

1.0 1.4 2.2 3.0 3.9 5.2 0.1 9.9 13.5 Create a function that calculates the coefficients of the least-squares regression for a 2nd order polynomial. Use LU Decomposition to find the coefficients. input should be a set of points (x,y) and output the coefficients (ao, ay, and az), the coefficient of determination (r), and the correlation coefficient (r). Please test your function on the data below and plot the results: X Y -10 -9 11 85 -8 60 -7 44 -6 40 -5 27 -4 16 -3 10 -2 0 -1 2 0 2 1 1 2 7 3 8 4 15 5 6 7 8 9 10 20 33 50 58 81 10

Answer 1

`Hey,

Note: Brother if you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

clc
clear all
close all
format long
x=-10:10;
y=[11,85,60,44,40,27,16,10,0,2,2,1,7,8,15,20,33,50,58,81,104];
A=[x(:).^2 x(:) ones(numel(x),1)];
b=y(:);
[L,U,P]=lu(A);
z=L\b;
C=U\z;
a0=C(3)
a1=C(2)
a2=C(1)
r=sum((y-polyval(C,x)).^2)/sum((y-mean(y)).^2)
xx=-10:0.01:10;
yy=polyval(C,xx);
plot(xx,yy,x,y,'o');

MATLAB R2018a Figure 1 X Search Documentation Pradeep APPS EDITOR НOME PLOTS fx File Edit View Insert Iools Desktop Window Help Find Files Insert Comment% SGo To Compare New Open Save Indent Print QFind 120 FILE NAVIGATE EDIT C: Windows System32 E Current Folder X 100 Xahk.mx Name bisectionmethodbypradeep.m 3 0409 O 1029 4 C 80 1033 5 - + 1036 + 6 - 1040 7 - 1045 C 60 8 - 1046 9 1049 10 1055 + 11 40 3082 12 - AdvancedInstallers + 13 C af-ZA 14 20 am-et + 15 AppLocker O 16 O appraiser 17 - C Details C 18 -10 -8 -6 4 -2 0 2 4 6 8 10 Workspace Com Name Value New to MATLAB? See resources for Getting Started 21x3 double A а0 11.1576 0.571027370798538 а1 1.2325 a2 0.5710 21x1 double r = [0.5710;1.2325;11.1576] 21x3 double 0.322422066111708 21x21 double r 0.3224 f> script Ln 18 Col 21 x ENG 11:21 AM OType here to search US 09/24/19 X

Kindly revert for any queries

Thanks.