Question

Which function best fits the following points?

Answer 1

Answer:

Option B. Quadratic

Step-by-step explanation:

In a regression model, the value of $r ^ 2$ tells us how accurately the model fits the data.

That closer the value of $r ^ 2$ of 1 is,  better is the model.

This can be used to compare what type of model is most convenient to use in some cases.

In this problem the attached table shows a comparison of the value of $r ^ 2$ for 3 models

Linear

Quadratic

Exponential

Note that the value of $r ^ 2$ that is closest to 1 is that which corresponds to the quadratic model.

$r ^ 2 = 0.89$

Therefore the function that best fits the points is the quadratic