Which law fits the readings?

You will write functions that turn readings into a rate constant, first as if the reaction were zero order and then as if it were first order. Then a third function decides which order fits a set of readings.

The idea. For zero order, $k = \dfrac{[R]_0 - [R]}{t}$. For first order, $k = \dfrac{1}{t}\ln\dfrac{[R]_0}{[R]}$. The law that fits gives almost the same $k$ at every time.

Your tasks.

1. Complete k_zero(c0, c, t) so that it returns the rate constant of a zero order reaction.
2. Complete k_first(c0, c, t) so that it returns the rate constant of a first order reaction.
3. Complete order_of(times, concs) so that it returns 0 or 1, the order whose $k$ values stay closer together.