Using Least Squares method to determine unknown variables

Question

Hey guys my next test is coming up and my professor gave us a study guide that we "should" be able to compete. Here is one of the questions I don't know how to attack:

I dont just want an answer. I really need to understand the process in solving a problem like this. Thanks!!

Answer 1

Let $z=y/\sin(2\pi x)$ and compute the values of $z$.

Then draw $z$ as a function of $x$ on logarithmic scales, i.e. $\log(z)$ as a function of $\log(x)$.

What do you think of a linear regression then ?

Answer 2

Here is the graph. I made it in excel. I also included the data I used in case I made a mistake. I am still not sure on how to find a and b from this. Thank you!