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The table shows the number of prairie dogs living in a park over a period of 8 years.

\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|}
\hline Year & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\
\hline \begin{tabular}{l}
Number of \\
prairie dogs
\end{tabular} & 5 & 15 & 38 & 68 & 102 & 227 & 449 & 855 & 1,762 \\
\hline
\end{tabular}

This data can be modeled with an exponential function. The equation of the curve of best fit is [tex]$y=7 \cdot 2^x$[/tex]. The correlation coefficient is 0.9986.

Complete the sentences to describe the model:

Based on the curve of best fit, the number of prairie dogs [tex]$\square$[/tex] each year, and the initial number of prairie dogs is [tex]$\square$[/tex]. This model [tex]$\square$[/tex] be used to make reliable predictions because [tex]$\square$[/tex].

Sagot :

GinnyAnswer
Based on the curve of best fit, the number of prairie dogs doubles each year, and the initial number of prairie dogs is 7.
This model can be used to make reliable predictions because the correlation coefficient is 0.9986, which is very close to 1, indicating a strong positive correlation.
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