In this quiz you will test (A) two competing hypotheses (H) for the behavior of water in a glass. Think of the observed behavior as a reference mode and problem (P') that you want to explain by two different models, reflecting two different hypotheses. One hypothesis should be instantaneous and the other should be accumulating. Both models should have the same time unit of Seconds and DT=0.1. Hence, you can create both models in the same Stella document.

Instead of entering time-series data in terms of a graphical function, create a function for the historical development of the faucet flow - for both models:

$LaTeX: Historical\:faucet\:flow=MIN\left(0.5\cdot Time,6-0.5\cdot time\right)$

As you will see when simulating this faucet flow, at first it increases and then it decreases just like the faucet flow you experimented with in the preceding quiz.

Similarly, create a function for the historical development of the amount of water in the glass

$LaTeX: Historical\:water\:in\:glass\:=\:IF\:time<6\:\:\:THEN\:\:\:0.25\cdot time^2\:$

$LaTeX: ELSE\:\:\:\:\:\:9+6\cdot\left(time-6\right)-0.25\cdot\left(time^2-6^2\right)$

where you model time² the following way: TIME^2. When simulating this function, you should recognize the behavior of water in the glass from the preceding quiz (the equation for Historical water in glass is a perfect representation of how water develops given the Historical faucet flow).

Then, create two variables, Water H:instant and Water H:accum, that represent the amount of water in the glass – one hypothesis being instantaneous and one being accumulating. Both of them should be influenced by the Historical faucet flow.