Estimate the Constant Iteratively

Calculate the constant $c$

What should we do to work out that missing constant $c$? Let’s pick a value at random and give it a go! Let’s try $c = 0.5$ and see what happens.

Here, we have $\text{miles}$ $= \text{kilometers}$ $\cdot$ $\textit{c}$, where kilometers is $100$ and $c$ is our current guess at $0.5$. That gives us $50$ miles. That’s not bad at all, given that we chose $c = 0.5$ at random. However, we know it’s not exactly right because the answer should be $62.137$.

We are wrong by ...