Answer:
Option B. Quadratic
Step-by-step explanation:
In a regression model, the value of [tex]r ^ 2[/tex] tells us how accurately the model fits the data.
That closer the value of [tex]r ^ 2[/tex] 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 [tex]r ^ 2[/tex] for 3 models
Linear
Quadratic
Exponential
Note that the value of [tex]r ^ 2[/tex] that is closest to 1 is that which corresponds to the quadratic model.
[tex]r ^ 2 = 0.89[/tex]
Therefore the function that best fits the points is the quadratic
