In this problem, we want to determine which type of function best represents the data.
The best way to do this is to graph the points and determine which functions makes the best model.
From the table, we will graph the points:
[tex]\begin{gathered} (1,10960) \\ (2,10808) \\ (3,10904) \\ (4,11286) \\ (5,11876) \\ (6,12553) \end{gathered}[/tex]
We get the following graph:
We can typtically determine the correct graph by the shape of the curve. To do this, let's take a look at the parent function for each graph listed:
Since we see a graph similar to the middle graph, or the quadratic function, we can conclude that the best model is a quadratic regression model.
