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thank you!! Problem 1. Imagine you are working for the state Department of Health and you are charged with monitoring bacteria at the local reservoir,

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Problem 1. Imagine you are working for the state Department of Health and you are charged with monitoring bacteria at the local reservoir, which is used not only for hydroelectric production but also recreational activities. The bacteria concentration, measures as colony forming units (CFUs), is the following after a storm event Time [hours] concentration CFU 3.9 11.9 16.0 20.3 24.2 1,589 1,328 1,023 897 641 563 Choose a linear regression model for this data. The model results should never go below zero, so choose the regression approach carefully. In your model consideration, you want to also ponder whether bacteria can increase in concentration at any point. Use the data to make this judgement. a. Estimate the bacteria concentration at time b. Estimate the time the bacteria concentration will reach 150 CFUs. Problem 2. Suppose you are an undergraduate researcher in Dr. Senger's group. During group meeting, a graduate student is struggling with how to predict the growth rate of a bacterial strain as a function of CO2 consumption. Dr. Senger suggests using the following equation, where kmax and cs are constants, k-growth rate [day', and c CO2 concentration [mg L']. Dr. Senger writes the following equation on the board k- ma cImg L-] k [day] 0.48 0.81 1.51 2.51 3.96 1.11 2.48 5.30 7.56 8.94 Estimate the constants (Cs and kmax), and predict the growth rate at c-3.0 mg L-1

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