Question

Use the graph below to describe the linearization of the data. How would you expect the linearization to change if the data were to extend beyond age 20?

Answer 1

It is expected that linearization beyond age 20 will be use a function whose slope is monotonously decreasing.

Explanation:

The linearization of the data by first order polynomials may be reasonable for the set of values of age between ages from 5 to 15 years, but it is inadequate beyond, since the fourth point, located at
`(x,y) = (20, 5.5)`, in growing at a lower slope. It is expected that function will be monotonously decreasing and we need to use models alternative to first order polynomials as either second order polynomic models or exponential models.