Question

I need help. Question 4 say a. Jupiter has a lot of moons. Here are the periods and distances of the Galileanmoons, which were discovered in 1610:

Answer 1

Using a worksheet, we can get different polynomial models. For example, a second-degree polynomial:

We can see that the model is good, however, if we try with a third-degree polynomial, we get the following:

The adjustment is perfect. Thus, the third-degree polynomial fits best.

If we get the graph of the square root of the period and time, we get the following:

As we can see, in this case, the second-degree polynomial fits best than the second-degree polynomial of the data without the square root.

However, if we display the third degree of the square root of the data, we can see in the image below that the model fits as best as the data without root.

Therefore, the only ones we can compare are the second-degree polynomials (as the third degree are both the same), that when compared, the model that best fits is the one with the square root of the data.