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Unformatted text preview: ’ then the quadratic and logistic models are arguably
the winners with the power function model a close second. However, if we think about the science
behind the spread of the ﬂu, the logistic model gets an edge. For one thing, it takes into account
that only a ﬁnite number of people will ever get the ﬂu (according to our model, 10,739), whereas
the quadratic model predicts no limit to the number of cases. As we have stated several times
before in the text, mathematical models, regardless of their sophistication, are just that: models,
and they all have their limitations.20 20
Speaking of limitations, as of June 3, 2009, there were 19,273 conﬁrmed cases of inﬂuenza A (H1N1). This is
well above our prediction of 10,739. Each time a new report is issued, the data set increases and the model must be
recalculated. We leave this recalculation to the reader. 6.5 Applications of Exponential and Logarithmic Functions 6.5.3 391 Exercises 1. On May, 31, 2009, the Annual Percentage Rate listed at Jeﬀ’s bank...
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