For every control system that works well enough to be considered a control system at all, the correlation will totally drown in the noise.
False. Here (second graph) is an example of a real-life thermostat. The correlation between inside and outside temperatures is evident when the outside temperature varies.
The thermostat isn’t actually doing anything in those graphs from about 7am to 4pm. There’s just a brief burst of heat to pump the temperature up in the early morning and a brief burst of cooling in the late afternoon. Of course the indoor temperature will be heavily influenced by the outdoor temperature. It’s being allowed to vary by more than 4 degrees C.
False. Here (second graph) is an example of a real-life thermostat. The correlation between inside and outside temperatures is evident when the outside temperature varies.
The thermostat isn’t actually doing anything in those graphs from about 7am to 4pm. There’s just a brief burst of heat to pump the temperature up in the early morning and a brief burst of cooling in the late afternoon. Of course the indoor temperature will be heavily influenced by the outdoor temperature. It’s being allowed to vary by more than 4 degrees C.
OK, maybe I misunderstood your original point.