In this problem, evaluate the noise reduction produced by ensemble averaging using Matlab LiveScript. Load the Prob2_11_data.mat that has the visual evoked response data, variable ver, along with the actual, noise-free visual evoked response in variable actual_ver. The visual reponse data consists of 1000 reponses, each 100 points long. The sample interval is 5 msec. The two variables are in the correct orientation and do not have to be transposed. Construct an ensemble average of 25, 100, and 1000 reponses. Plot in one figure: a single noisy response, the three ensembled averaged responses and the noise-free response as subplots and label all the axes and include titles. Subtract the noise-free ver from an individual evoked response and the three ensemble averages to get an estimate of just the noise in the two waveforms. Compute the standard deviations of an unaveraged and the three averaged waveforms. Calculate the theoretical standard deviations predicted for the 3 averaged waveforms and display them in comparison to those in c). In this problem, evaluate the noise reduction produced by ensemble averaging using Matlab LiveScript. Load the Prob2_11_data.mat that has the visual evoked response data, variable ver, along with the actual, noise-free visual evoked response in variable actual_ver. The visual reponse data consists of 1000 reponses, each 100 points long. The sample interval is 5 msec. The two variables are in the correct orientation and do not have to be transposed. Construct an ensemble average of 25, 100, and 1000 reponses. Plot in one figure: a single noisy response, the three ensembled averaged responses and the noise-free response as subplots and label all the axes and include titles. Subtract the noise-free ver from an individual evoked response and the three ensemble averages to get an estimate of just the noise in the two waveforms. Compute the standard deviations of an unaveraged and the three averaged waveforms. Calculate the theoretical standard deviations predicted for the 3 averaged waveforms and display them in comparison to those in c)