Question

Which function best fits the following points?

A. Exponential
B. Quadratic
C. Linear
D. None of the above

Answer 1

Option B. Quadratic

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