00:01
So here's what we have.
00:02
We have a correlation between murder right and police officers.
00:05
So if i was to sort of sketch this, murders and police, what i would have would be something like this, right, where there is this positive trend between murders and police, but some noise, right? so we have a strong correlation between these two and not just any correlation, a strong correlation, a strong, positive correlation between these two variables, but it's not perfect, right? the data does bounce around a little bit.
00:38
So it's not a perfect correlation.
00:40
Now, which of these are plausible? what can we conclude? the obvious one here that's correct is c, right? there is a strong positive linear relation.
00:59
This is the definition of the correlation, right? that's what it means.
01:07
You can absolutely conclude that, right? this is literally the definition, right? a and b are different in that they are possible, but you can't conclude them, right? you might have, right, it's entirely possible that city size causes both police and murders, right? and that could generate a positive correlation, right? that's entirely possible.
01:38
The other thing here is that murders may be result in more police.
01:45
That is also possible, right? both possible, but can't conclude either, right? these are at best hypotheses...