I knew that was coming. Regardless of which side he is on the data is still valid.
The population of the USA in 1940 was 132 million. the population of 1988 was 246 million. Reagan saved more actual Jobs than anyone ever. in 1982 unemployment was at 10.4%
Using a little math and that table's numbers, the total workforce (including the unemployed, looking for work) in 1932 was just over 54 million. The total workforce in 1982 was ~108 million. Under FDR, 4 million jobs were created prior to the recession of early1938, which saw an unemplyment rate of 19% - so many of those jobs were lost (over 2.5 million) - but then the unemployment numbers dropped again and all those jobs came back by 1940 when the unemployment rate stood at 14.6%.
Overall then, FDR oversaw the creation of 6.5 million jobs and a loss of around 2.5 million for a net total of ~4 million gain in jobs.
Now, Reagan's workforce, at ~108 million, began at 7.6%, rose to 10.4% and then ended at 5.5%. Honestly, not bad at all. Lets see how they compare.. 7.6% unemployment is ~8.2 million, a 10.4% unemployment rate is just over 11.2 million - a loss of about 3 million jobs - and then unemployment steadily drops, ending at a nice 5.5% by the time Reagan left office.. leaving only 5.9 million people unemployed.
That means Reagan's administration oversaw a decrease in 3 million jobs and an increase in 5.3 million jobs for a net gain of 2.3 million jobs.
Note: it seems the table claims that the net gain was 1.5 million, some kind of funny math by him possibly.. I checked my shit a few times haha: 8.2 million - 5.9 million = 2.3 million jobs or including the recession 8.2 million + 3 million - 5.9 million= 5.3 and then 5.3-3=2.3
Now, I know you're ready to say that the recession, happening almost right after Reagan took office - is not his fault. I guess you could say that, because it was actually Volcker (fed chairman, appointed by Carter, then reappointed by Reagan) who induced the Recession with tight monetary policy to battle extremely high inflation. It was also Volcker who was responsible for the gradual loosening of monetary policy once inflation was pushed down. As a result of lower core inflation, profit margins went up. Because the fed had accomplished it's goal and loosened monetary policy(lower interest rates) - investment went up.
The Reagan Tax cuts might have helped, but I'm not sold. If you look at the Bush tax cuts - they largely failed to spur the kind of economic growth that was promised from them.
So your assertion in those strict terms is incorrect. I did however find scattered claims that after Reagan left office his policies have since created as many as 16 million jobs but we aren't counting how many jobs were created today... If we were it would get quite complicated counting the jobs created by New Deal policies today as well (which considering the ever expansion of the health industry)...
On a related note, Reagan may have even indirectly set the stage for the 08 recession ( I know, I'm getting out there now)... He is the guy who appointed Alan Greenspan after all, who has been dubbed by many as the man who... "may be more responsible than any other single human being for the disastrous developments in our nation's economy".