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Interpolation
For this task, you will perform a cubic spline interpolation on the data provided in the file in_interp . csv. First, plot the data (using MATLAB or Excel) in order to get an idea of the behaviour f(x) should have.
Next, write C code that uses cubic splines in order to estimate the function f(x) that cuts through the data. You will then use your code to calculate the value(s) of f(x) at xo = 4, where xo is to be input at runtime from stdout. You will implement your method in int erp 0, reading the values of x and f(x) from the file in_interp . csv and outputting the values of the interpolated value to out_interp . csv in the following format (up to 6 decimal places).
xo,f(xo)
4.000000,0.234655
4.000000,1.107865
The output provided above is an example and does not constitute the solution. There may be more than 1 solution possible here and you must be able to identify the correct interval(s) to compute the interpolated value. For the C implementation, you must dynamically allocate space for x, f (x) and write your code such that it can work for a different set of input data and different xo. Finally, you must plot the interpolated function using either MATLAB or Excel. How does the interpolated function look compared with the actual datapoints?
Attachment:- Data File.rar
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