Use exponential regression to find a function that models the data.begin{array}{|c|c|} hline x & 1 & 2 & 3 & 4 & 5 hline f(x) & 14 & 7.1 & 3.4 & 1.8 & 0.8 hline end{array}

Use exponential regression to find a function that models the data. $\begin{array}{|cccccc|}\hline x& 1& 2& 3& 4& 5\\ f\left(x\right)& 14& 7.1& 3.4& 1.8& 0.8\\ \hline\end{array}$

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Using a graphing calculator, the exponential model for the given table is: ExpReg
$a=28.97771528$
$b=0.4918059809$
${r}^{2}=0.9988155367$