u need to create a data file called polyinfile.m. For example, let th ats of polyinfile.m be 1 2 3 4 14 9 16 101 is means that we have four data points, namely (1,1), (2,4), (3,9 16). Since there are four data points, you seek an interpolating polyr degree three (the number of data points is always one more than the the interpolating polynomial). You should set up your data so th

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1) In class, we discussed Lagrange polynomial interpolation. Your assignment is
to write code for Lagrange interpolation for an arbitrary number of data points.
You need to create a data file called polyinfile.m. For example, let the con-
tents of polyinfile.m be
1 2 3 4
4 9 16
101
This means that we have four data points, namely (1, 1), (2, 4), (3,9), and
(4, 16). Since there are four data points, you seek an interpolating polynomial
of degree three (the number of data points is always one more than the degree
of the interpolating polynomial). You should set up your data so that the
r-coordinates are in increasing order. The last number N (in this example,
N = 101) is the umber of points to use when you graph your interpolating
polynomial.
Your goal is to create a Matlab picture displaying the interpolating polyno-
mial and the data points.
You may not use other forms of interpolating polynomials. Nor may you use
built-in functions such as polyfit or polyval or anything similar.
Transcribed Image Text:1) In class, we discussed Lagrange polynomial interpolation. Your assignment is to write code for Lagrange interpolation for an arbitrary number of data points. You need to create a data file called polyinfile.m. For example, let the con- tents of polyinfile.m be 1 2 3 4 4 9 16 101 This means that we have four data points, namely (1, 1), (2, 4), (3,9), and (4, 16). Since there are four data points, you seek an interpolating polynomial of degree three (the number of data points is always one more than the degree of the interpolating polynomial). You should set up your data so that the r-coordinates are in increasing order. The last number N (in this example, N = 101) is the umber of points to use when you graph your interpolating polynomial. Your goal is to create a Matlab picture displaying the interpolating polyno- mial and the data points. You may not use other forms of interpolating polynomials. Nor may you use built-in functions such as polyfit or polyval or anything similar.
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