Linear Modelingmedium
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Biologists studying bacteria growth observe an exponential relationship: Count(t)=100e0.3t\text{Count}(t) = 100 \cdot e^{0.3t} where tt is time in hours. They fit a linear regression to the log-transformed data and obtain: ln(Count)=4.605+0.3t\ln(\text{Count}) = 4.605 + 0.3t. Using this regression equation, what is the predicted bacteria count at t=2t = 2 hours?