This is a lot to take in.Are the following models linear in parameters?

[cuteylion]

Homework Statement

Are the following models linear in parameters? If not, is there any way to make them linear-in-parameter mode?(The picture is in the attached)

Homework Equations

The Attempt at a Solution

I tried to use dy/dx to show that they are not linear as the dy/dx is not constant. However, I'm not sure how to make it linear

Will really appreciate any help!

Thanks!

 

[hotvette]

I think you need to be clear in your own mind as to what is meant by linear in parameters.

To me the parameters are $$\beta_0$$ and $$\beta_1$$. The definition of linearity I like is the following. A function is linear in parameters c₀, c₁,...,c_n if the function can be written in the form:

f = c₀ + c₁f₁(x) + c₂f₂(x) + ... + c_nf_n(x)

where f₁(x), f₂(x), ..., f_n(x) are pure functions of x.