y=a*e^((-b*t)) (3 points) Let's say you collected some noisy data (see below) that you hypothesized would be represented by an exponential function: where {x_(i),y_(i)} represent the co-ordinates of the i^(th ) data point, epsi _(i) is the y-error between the function and the data point at each point, and a_(0) and a_(1) are unknown constants. Exp

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y=a*e^((-b*t)) (3 points) Let's say you collected some noisy data (see below) that you hypothesized would be represented by an exponential function: where {x_(i),y_(i)} represent the co-ordinates of the i^(th ) data point,  epsi _(i) is the y-error between the function and the data point at each point, and a_(0) and a_(1) are unknown constants. Explain in mathematical detail, with pseudo-code very specifically how you would estimate the a_(0) and a_(1) that would provide the best fit of the data.

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Expert Answer to - y=a*e^((-b*t)) (3 points) Let's say you collected some noisy data (see below) that you hypothesized

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Solution for - y=a*e^((-b*t)) (3 points) Let's say you collected some noisy data (see below) that you hypothesized

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(Solved): y=ae^((-bt)) (3 points) Let's say you collected some noisy data (see below) that you hypothesized ...

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