Matlab

2 Interpolation We are interested in understanding the mechanical properties of a new material under constant load. To do this, we place a load on the material and track the displacement (measured in mm) over a period of 60 minutes. In this example, the independent variable time is stored in the variable t and the dependent variable displacement is stored in the variable d. Now that we have a set of t and d data points, we want to interpolate a curve to fit the data. Write a function myInterpPlotter with the headerline function [D,h] where the inputs are = myInterpPlotter (t ,d,T,option) e t: n x 1 double array containing the data points d: n x 1 double array containing the displacement data points. is desired option: a string containing either 'nearest', 'linear', 'cubic', 'linearregression . T: m x 1 double array containing the time instances for which an interpolation cubicpoly' and the output is D: m 1 double array containing the interpolated displacement . h: handle to the figure containing the original data points in blue circles, and the interpolated data plotted with solid black line. Use MATLAB built-in function interp1 to do the interpolation for the options 'nearest', 'linear', and 'cubic'. Additionally, if the content of option is in- valid, generate an error with message 'Option selected is invalid'. For op- tions 'linregression' and 'cubicpoly' perform regression on the data values using straight line and a cubic polynomial respectively. You may call the regression function you wrote in problem 1. Your function myInterpPlotter must use svitch different cases caseend to handle You can use the following test cases to test your function