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| Coefficient Determination (Posted on 2015-10-14) |
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p0(x) = x3 + 313x2 - 77x - 8, and:
pn(x) = pn-1(x-n).
Determine the coefficient of x in p20(x)
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 | Comment 2 of 3 | 
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Coefficient determination is a framework for investigating uncertainty in models and predicting error propagation. This can be useful when working with models that are used to predict values (prediction) or determine a value given different inputs (decision). For example, say you have a model where the coefficient tells how the probability of an event changes according to a change in temperature. Say your coefficient is \(0.407\), which means that as temperature increases by 1 degree, then the probability of an event occurring increases by 4.7%. It's a proportionality constant that describes the relationship between two factors. You see https://simplegrad.com/oxessays-review/ this is all fine and good, but what if we want to figure out how the \(p\) changes with temperature? Since the \(p\) refers to something like probability, uncertainty could come from the way \(p\) is defined, from sampling errors, from measurement errors, from measurement instrument uncertainties, from the way \(p\) is calculated or any other unknowns involved in the process described by the model.
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