Sure, there's an element of "this job is only worth $7.5/hour, so if we have to pay someone $15/hour we won't do it", but I'd suggest that those jobs are actually not that common.
I'd instead suggest that most jobs need doing, and they will just cost more. Ditches still need digging, burgers still need flipping, and it will just cost a bit more now.
I am not enamored by the concept of minimum wage, and to this day its a fight among economists.
That makes sense, there's going to be jobs that just aren't profitable when the wages go up. If I can make $4 on a box of shleem, and the kid who packs the shleem's wages go up $5 I have to pack the shleem myself, or stop selling it.
One thing that the report mentioned, and is maybe a possible cause of this negative increase, was that kids will leave school sooner when the minimum wage is higher. Perhaps to counter the issue there could be some sort of means-tested grant system to help keep kids in school?
This also helps create a moat around amazon - if they can get the costs of everyone to go up, when they unleash better picking/warehouse automation no one will be able to compete with them.