A parabola fitted to stopping distances measured between 20 and 80 km/h is d = 0.006v² + 0.15v +…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A parabola fitted to stopping distances measured between and is , with in metres and in . Find for and for . Which answer do you trust more?
Need a reminder? The key ideaShow
Choose the family from the data: a straight line for equal steps, a parabola for a square law, a reciprocal for a constant product. Trust a model inside the range of its data, not far outside it.
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. At . .
Step 2. At . .
Step 3. Trust. lies inside the data; is far outside it, where the model was never tested.
Answer: (trusted) and (a guess).
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