The following product quality data ym were obtained from a bioreactor, based on a photometric measurement evaluation of the product:

(a) Filter the data using an exponential filter with ?t = 1 mm. Consider a = 0.2 and a = 0.5.

(b) Use a moving average filter with N* = 4.

(c) Implement a noise-spike filter with ?y = 0.5.

(d) Plot the filtered data and the raw data for purposes of comparison.

T'ime You (absorbance) (mia) 1.5 2. 0.3 1.6 3.4 1.7 1.5 7. 2.0 1.5