Not exponential?

I'm not sure if this is saying the observed growth at the time wasn't exponential (at all), or just that the doubling time was 'nowhere near' 7 days. Either way not sure I agree.

A tweet saying "But - and it's a big but - we are still nowhere near the kind of exponential doubling-every-seven-days growth @uksciencechief warned about a couple of weeks ago. Growth is steeper, yes. If it continues that's v bad. But let's keep things in proportion. This chart tells that story" and a graph on a linear scale showing UK COVID-19 daily positive tests to 4 Oct, and the illustrative path of the doubling-every-seven-days scenario.

Here's the chart reproduced (using the data as it stood at the time, Oct 4):

And here with an exponential curve fitted (the orange dashed line) to the data:

The fact that an exponential curve is a good fit is much easier to see if we use a log scale (on which exponential curves are straight lines). These are exactly the same lines as before, just with different vertical scaling. Clear the data is following an exponential trajectory:

Now doubling time: just over 11 days according to this fit. Perhaps you can argue this is 'nowhere near' 7 days, but it still results in case numbers reaching 50k by end of Oct; at most a couple of weeks later than in Vallance's warning.

Updating to today's data: doubling time just under 10 days