Q2. The Concentration Of E. Coli Bacteria In A Swimming Area Is Monitored After A Storm: 20 1320 1000 900 650 16 4 1590 24 560 (Hrs. C (CFU/100ml) The Time T Is Measured In Hours Following The End Of The Storm And The Concentration C Having A Unit Of CFU Is In Fact "Colony Forming Unit". The Given Data Follows Exponential Decrease, Therefore, It Can Be

 

Q2. The concentration of E. coli bacteria in a swimming area is monitored after a storm: t (hrs.) 4 8 c (CFU/100ml) 1590 1320 12 16 20 1000 900 650 24 560 The time t is measured in hours following the end of the storm and the concentration c having a unit of CFU is in fact "Colony Forming Unit. The given data follows exponential decrease, therefore, it can be represented by the following exponential function: Use transformation to linearize the above function and then employ linear regression to determine the constants 2 and 2. Then obtain the final form of the exponential function after substituting the constants 2 and 2 into the general form. Later use the obtained function to estimate (a) the concentration at the end of the storm (t = 0 hrs.) and (b) the time at which the concentration c will reach 200 CFU/100ml. Note that negative concentrations are impossible and that the bacteria concentrations always decrease with time. [10 points]