The concentration of E. coli bacteria in a swimming area of a lake is monitored after a rainstorm where time is the hours after the storm ended and CFU is a 'colony-forming unit' as shown: 4 8 12 16 Time (hr) C (CFU/100mL) 1600 1320 1000 890 20 650 24 560 Based on the initial data we propose an exponential model: C = a) Linearize the model, fit a straight best-fit line, and back transform the model (report the a1 and b1 parameters). b) Use your back-transformed model to define a function that can estimate the concentration of E. Coli when given a time in hours after the storm ended. Use your defined model to estimate the bacterial concentration at time =0 (right when the storm ended). c) Using your exponential model, predict when the bacterial concentration will reach 200 CFU/mL. d) Plot the data and the back transformed model. a₁e¹₁*t

The concentration of E. coli bacteria in a swimming area of a lake is monitored after a rainstorm where time is the hours after the storm ended and CFU is a 'colony-forming unit' as shown: 4 8 12 16 Time (hr) C (CFU/100mL) 1600 1320 1000 890 20 650 24 560 Based on the initial data we propose an exponential model: C = a) Linearize the model, fit a straight best-fit line, and back transform the model (report the a1 and b1 parameters). b) Use your back-transformed model to define a function that can estimate the concentration of E. Coli when given a time in hours after the storm ended. Use your defined model to estimate the bacterial concentration at time =0 (right when the storm ended). c) Using your exponential model, predict when the bacterial concentration will reach 200 CFU/mL. d) Plot the data and the back transformed model. a₁e¹₁*t

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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