Question

Given the data shown below, which of the following is the best prediction for the number of years it will take for the population to reach 300,000?

Answer 1

We will have the following:

Using exponential regression we will have that the line of best fit will be:

$f\mleft(x\mright)=8585.658603*1.399211892^x$

Now, we will have that:

$\begin{gathered} 300000=8585.658603*1.399211892^x\Rightarrow34.94199034=1.399211892^x \\ \\ \Rightarrow x=\frac{ln(34.94199034)}{1.399211892}\Rightarrow x= \end{gathered}$

So, the approximation using linear regression gives us as solution approximately 29.7 years; thus the closest one to match is then