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Well not quite. For example, the number of tests run is pretty important too. We've seen it in other places before, a drop in the number of new infected one day, correlating with a drop in tests performed that day.
Also, that doesn't change anything about the fact that the data is pretty noisy, and basing anything on single-day numbers is a bit shaky. See the FT graph above, where they add up all new cases of the last week on each day, which makes for a much more convincing measure.
How are they testing in Spain though, and how much? I'd be very careful with getting any conclusions at all from the case numbers - I think, if anything the death numbers in the second table are more 'solid' in that sense. Also, they don't mention basing their calculation on some kind of running average (unless I missed it?), so while the decrease in speed is of course great to see, the numbers would be a lot more dependable if they weren't exposed to the types of random ups and downs (noise) in the daily data.