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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?

Given the data shown below, which of the following is the best prediction for the-example-1
User Rodrigo Werlang
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1 Answer

24 votes
24 votes

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=(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