Answered: Choose all answers that form a true…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question

Choose all answers that form a true statement:

“When performing Savitzky–Golay polynomial smoothing, increasing the number of data points used to perform the smoothing can result in …”:

a. spectral distortion

b. noisy data

c. a decrease in the number of points in the data set.

d. a shift in the data points to the right.

For each option above (a-d) that forms a true statement, explain why it is true and what the ramification is for using smoothed data to interpret the behavior of the chemical system under study.

Expert Solution

Step 1

Spectral distortion: True. Increasing the number of data points used to perform Savitzky-Golay polynomial smoothing can result in spectral distortion. This is because adding more data points can cause higher-order polynomials to be used in the smoothing process, which can result in excessive smoothing and distortion of the spectral features. This can lead to a loss of spectral information, making it more difficult to interpret the chemical system under study.

Noisy data: False. Increasing the number of data points used for Savitzky-Golay polynomial smoothing is likely to reduce noise in the data rather than increase it. The smoothing algorithm can help to eliminate high-frequency noise and artifacts in the data, resulting in a cleaner signal.