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This is what I got down so far, but it doesn't run function Yint=LagrangeINT(x,y,Xint) %input variables: x=[-2,1,3,5] y=[0,-1.95,-1.25,-1.75] %Xint the x coordinate of the point

This is what I got down so far, but it doesn't run

function Yint=LagrangeINT(x,y,Xint)

%input variables:

x=[-2,1,3,5]

y=[0,-1.95,-1.25,-1.75]

%Xint the x coordinate of the point at which y is to be interplted

%out =put variable

%Yint the interpolated value of Xint

n=length(x)

for i=1:n

L(i)=1;

for j=1:n

if j~=i

L(i)=L(i)*(Xint-x(j))/(x(i)-x(j));

end

end

Yint=sum(y.*L);

end

end

image text in transcribed

2. 10 points (no need to submit your code for this problem) The set of 4 data points are given below: -2 1.95 1.25 1.75 (2a) Using Lagrange interpolation method to find the 3rd order polynomial that passes through the data points. Provide the details of the four Lagrange base functions. Use the interpolation result to calculate the value of yatx-2; (2b) Make the following plots: (i) the original data and the 3rd order polynomial together as a single plot; (ii) the four Lagrange base functions 2. 10 points (no need to submit your code for this problem) The set of 4 data points are given below: -2 1.95 1.25 1.75 (2a) Using Lagrange interpolation method to find the 3rd order polynomial that passes through the data points. Provide the details of the four Lagrange base functions. Use the interpolation result to calculate the value of yatx-2; (2b) Make the following plots: (i) the original data and the 3rd order polynomial together as a single plot; (ii) the four Lagrange base functions

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